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‎"CAYLEY, ARTHUR.‎ ‎An Elementary Treatise on Elliptic Functions.‎ ‎Cambridge, Deighton, Bell and Co., 1876. Orig. full brown cloth. Gilt lettering to spine. Spine ends slightly frayed. Some discolouring to endcover. Light wear to extremities. X,(1),384pp. + Publisher's catalogue 16 pp. Internally clean and fine. From the library of the Englsih mathematician F.S. Carey, having his name on upper part of titlepage. ""F.S. Carey/Trin. Coll. Cam.""‎ ‎First edition of the only published book by the famous British mathematician. Cayley's aimed at treeting elleiptic functions by ""pure algebra"" and to fill in the gaps left by Jacobi. ""For most of his life Cayley worked incessantly at mathematics, theoretical dynamics, and mathematical astronomy. He published only one full-lenght book, ""Treatise on Elliptic Functions"" (the item offered)"" but his output of papers and memoirs was prodigious, numbering nearly a thousand, the bulk of them since published in thitteen large quarto volumes. His work was greatly appreciated from the time of its publication, and he did not have to wait for mathematical fame."" (DSB).‎ Bookseller reference : 39707	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 470,05 Buy
‎"CAYLEY, ARTHUR. - A FUNDAMENTAL PAPER ON INVARIANT THEORY.‎ ‎An Introductory Memoir upon Quantics. received April 20, - Read may 4, 1854.‎ ‎(London, Richard Taylor and William Francis, 1854). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1854, Vol. 144 - Part I. Pp. 245-258.‎ ‎First printing of the first paper in Cayley's famous memoirs on 'quantics', a term he coined for algebraic forms. In this paper Cayley throughout remodelled the whole basis for Invariant Theory.""In addition to his part in founding the theory of abstract groups, Cayley has a number of important theorems to his credit: perhaps the best known is that every finite group whatsoever is isomorphic with a suitable group of permutations (see the first paper of 1854). This is often reckoned to be one of the three most important theorems of the subject, the others being the theorems of Lagrange and Sylow. But perhaps still more significant was his early appreciation of the way in which the theory of groups was capable of drawing together many different domains of mathematics: his own illustrations, for instance, were drawn from the theories of elliptic functions, matrices, quantics, quaternions, homographic transformations, and the theory of equations. If Cayley failed to pursue his abstract approach, this fact is perhaps best explained in terms of the enormous progress he was making in these subjects taken individually.""(DSB)‎ Bookseller reference : 49410	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 604,35 Buy
‎"CANTOR, GEORG.‎ ‎Bemerkung mit Bezug auf den Aufsatz: Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen in Math. Annalen. Bd. XXXIII, p. 154. - [CANTOR ON NUMBER THEORY]‎ ‎Leipzig, B.G. Teubner, 1889. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet 1889 durch Rudolf Friedrich Alfred Clebsch. XXXIII.[33] Band. 3. Heft."" Entire issue offered. Internally very fine and clean. [Cantor:] P. 476. [Entire issue: Pp. (1), 318-476, (1)].‎ ‎First printing of Cantor's important comment to Illigens paper from the same year: ""Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen"". He states that: ""The squareroot of 3 is thus only a symbol for number which has yet to to be found, but is not its definition. The definitions is, however, satisfactorily given by my method as, say (1.7, 1.73, 1.732, ...). [From the present paper]. Cantor is famous for his work on infinite numbers.‎ Bookseller reference : 44494	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 201,45 Buy
‎"CANTOR, GEORG (+) WILHELM KILLING.‎ ‎Bemerkung mit Bezug auf den Aufsatz: Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen (+) Die Zusammensetzung der stetigen endlichen Transformationsgruppen.‎ ‎Leipzig, B. G. Teubner, 1889. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 33., 1889. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Very fine and clean. P. 476"" Pp. 1-48. [Entire volume: IV, 604 pp.].‎ ‎First printing of CANTOR'S important comment to Illigens paper from the same year: ""Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen"". He states that: ""The squareroot of 3 is thus only a symbol for number which has yet to to be found, but is not its definition. The definitions is, however, satisfactorily given by my method as, say (1.7, 1.73, 1.732, ...). [From the present paper]. First publication of KILLING'S important second paper (of a total of four) in which he laid the foundation of a structure theory for Lie algebras.""In particular he classified all the simple Lie algebras. His method was to associate with each simple Lie algebra a geometric structure known as a root system. He used linear transformation, to study and classify root systems, and then derived the structure of the corresponding Lie algebra from that of the root system.""(Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences)Unfortunately for Killing a myth arose that his work was riddled with error, which later has been proved untrue. ""As a result, many key concepts that are actually due to Killing bear names of later mathematicians, including ""Cartan subalgebra"", ""Cartan matrix"" and ""Weyl group"". As mathematician A. J. Coleman says, ""He exhibited the characteristic equation of the Weyl group when Weyl was 3 years old and listed the orders of the Coxeter transformation 19 years before Coxeter was born.""The theory of Lie groups, after the Norwegian mathematician Sophus Lie, is a structure having both algebraic and topological properties, the two being related.‎ Bookseller reference : 47188	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 214,88 Buy
‎"CARNAP, RUDOLF.‎ ‎Der Raum. Ein Beitrag zur Wissenschaftslehre. - [SPACE - CARNAP'S FIRST PUBLICATION]‎ ‎Berlin, Reuther & Reichard, 1922. 8vo. Uncut in the original grey printed wrappers w. very neat professional repairs to inner hinges and to capitals. Printing on spine nearly fully intact. A very faint waterstaining to upper corner throughout, otherwise a very good, nice and clean copy of a publication, which in itself is quite fragile. 87 pp.‎ ‎First edition of Carnap's first publication, his doctoral dissertation. Printed in Kant-Studien, Ergänzungshefte, Nr. 56. Issued by H. Vaihinger, M. Frischeisen-Kähler and A Liebert. Rudolf Carnap (born 1891 in Ronsdorf, Germany, died 1970 in Santa Monica, California) was an immensely influential analytic philosopher, who has contributed decisively to the fields of logic, epistemology, semantics, philosophy of science, and philosophy of language. He was one of the leading figures of the Vienna Circle, and a prominent logical positivist. He studied philosophy, physics and mathematics at the universities of Berlin and Freiburg, and worked at the universities of Jena, Vienna and Prague until 1935, when he, due to the war, emigrated to the U.S., where he became an American citizen in 1941. In America he became professor of the University of Chicago. In Jena he was appointed Professor of Mathematics, though his main interest at that time was in physics. By 1913 he planned to write his dissertation on thermionic emission, but this was interrupted by World War I, where he served at the front until 1917. Afterwards he studied the theory of relativity under Einstein in Berlin, and he developed the theory for a new dissertation, namely on an axiomatic system for the physical theory of space and time. He thus ended up writing the important dissertation under the direction of Bouch on the theory of space (Raum) from a philosophical point of view. The dissertation was submitted in 1921, and, due to the clear influence from Kantian philosophy, it was published the following year in this supplement to the ""Kant-Studien"". After the publication of his first work, Carnap's involvement with the Vienna Circle began to develop. He met Reichenbach in 1923 and was introduced to Moritz Schlick in Vienna, where he then moved to become assistant professor at the university. He soon became one of the leading members of the Vienna Circle, and in 1929 he, Neurath, and Hahn wrote the manifest of the Circle.As the title indicates, ""Der Raum"" deals with the philosophy of space. Partly influenced by Husserl, under whom he studied at Freiburg, Carnap poses the question whether our knowledge of space is analytic, synthetic a priori or empirical. His answer is that it depends on what is meant by ""space"", and thus differentiates between three kinds of theories of space: Formal (which is analytic [a priori]), intuitive (which is synthetic a priori), and physical (which is empirical [or synthetic aposteriori]). He compares this division of space with that of geometry into: projective, metric and topological. This, of course, anticipates much of his later philosophy, and some of his theories developed in this paper became the official position of logical empiricism on the philosophy of space. In this work he also develops a formal system for space-time topology, which became quite influential.‎ Bookseller reference : 33482	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 805,80 Buy
‎"CARNAP, RUDOLF.‎ ‎Der Raum. Ein Beitrag zur Wissenschaftslehre. - [SPACE - CARNAP'S FIRST PUBLICATION]‎ ‎Berlin, Reuther & Reichard, 1922. 8vo. Original grey printed wrappers w. very minor loss to capitals. Printing on spine nearly fully intact. Internally near mint. A very good, nice and clean copy of a publication, which in itself is quite fragile. 87 pp.‎ ‎First edition of Carnap's first publication, his doctoral dissertation. Printed in Kant-Studien, Ergänzungshefte, Nr. 56. Issued by H. Vaihinger, M. Frischeisen-Kähler and A Liebert. Rudolf Carnap (born 1891 in Ronsdorf, Germany, died 1970 in Santa Monica, California) was an immensely influential analytic philosopher, who has contributed decisively to the fields of logic, epistemology, semantics, philosophy of science, and philosophy of language. He was one of the leading figures of the Vienna Circle, and a prominent logical positivist. He studied philosophy, physics and mathematics at the universities of Berlin and Freiburg, and worked at the universities of Jena, Vienna and Prague until 1935, when he, due to the war, emigrated to the U.S., where he became an American citizen in 1941. In America he became professor of the University of Chicago. In Jena he was appointed Professor of Mathematics, though his main interest at that time was in physics. By 1913 he planned to write his dissertation on thermionic emission, but this was interrupted by World War I, where he served at the front until 1917. Afterwards he studied the theory of relativity under Einstein in Berlin, and he developed the theory for a new dissertation, namely on an axiomatic system for the physical theory of space and time. He thus ended up writing the important dissertation under the direction of Bouch on the theory of space (Raum) from a philosophical point of view. The dissertation was submitted in 1921, and, due to the clear influence from Kantian philosophy, it was published the following year in this supplement to the ""Kant-Studien"". After the publication of his first work, Carnap's involvement with the Vienna Circle began to develop. He met Reichenbach in 1923 and was introduced to Moritz Schlick in Vienna, where he then moved to become assistant professor at the university. He soon became one of the leading members of the Vienna Circle, and in 1929 he, Neurath, and Hahn wrote the manifest of the Circle.As the title indicates, ""Der Raum"" deals with the philosophy of space. Partly influenced by Husserl, under whom he studied at Freiburg, Carnap poses the question weather our knowledge of space is analytic, synthetic a priori or empirical. His answer is that it depends on what is meant by ""space"", and thus differentiates between three kinds of theories of space: Formal (which is analytic [a priori]), intuitive (which is synthetic a priori), and physical (which is empirical [or synthetic aposteriori]). He compares this division of space with that of geometry into: projective, metric and topological. This, of course, anticipates much of his later philosophy, and some of his theories developed in this paper became the official position of logical empiricism on the philosophy of space. In this work he also develops a formal system for space-time topology, which became quite influential.‎ Bookseller reference : 34800	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 738,65 Buy
‎"CANTOR, G.‎ ‎Fondements d'une théorie générale des ensembles (+) Sur divers théorémes de la théorie des ensembles de points situs - dans un espace continu a n dimensions. - [SET THEORY]‎ ‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1883]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 2. Fine and clean. Pp. 381-414.‎ ‎First French translation (and translation in general) of Cantor's fifth, thus most important, paper in his series of papers which founded set theory. (The first mentioned).It contained Cantor's reply to the criticism of the first four papers and showed how the transfinite numbers were a systematic extension of the natural numbers. It begins by defining well-ordered sets. Ordinal numbers are then introduced as the order types of well-ordered sets. Cantor then defines the addition and multiplication of the cardinal and ordinal numbers. In 1885, Cantor extended his theory of order types so that the ordinal numbers simply became a special case of order types. It was later published as a separate monograph.The concept of the existence of an infinity was an important shared concern within the realms of mathematics, philosophy and religion. Preserving the orthodoxy of the relationship between God and mathematics was long a concern of Cantor's. He directly addressed this relationship between these disciplines in the introduction to the present paper, where he stressed the connection between his view of the infinite and the philosophical one. To Cantor, his mathematical views were closely linked to their philosophical and theological implications-he identified the Absolute Infinite with God and he considered his work on transfinite numbers to have been directly communicated to him by God, who had chosen Cantor to reveal them to the world.‎ Bookseller reference : 45855	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 268,60 Buy
‎"CARNAP, RUDOLF.‎ ‎Foundations of Logic and Mathematics.‎ ‎Chicago, The University of Chicago Press, (1939). 8vo. In the original blue printed wrappers. A very nice and clean copy - near mint. VIII, 71 pp.‎ ‎First printing of Carnap's seminal publication of his semantical period. Here Carnap presents a clear and detailed account of the application of logic and mathematics in empirical science and the central importance of the analytic/synthetic distinction herein.Carnap thought that the logic of science could be fruitfully applied to the problems of quantum theory as well. In particular, the final sections of Foundations of Logic and Mathematics (1939, 24, 25) suggest that the vexed question of the ""interpretation"" of the wave-function can be resolved by appreciating that theories of modern mathematical physics operate with ""abstract"" terms which are implicitly defined, in the manner of Hilbert, in an axiomatic system (and thus require no ""intuitive"" or ""visualizable"" meaning) but which still relate to empirical phenomena (experimental measurements) indirectly. (Cambridge Companion to Carnap).These thoughts anticipate Carnap's later conception of the ""partial interpretation"" of theoretical terms.Rudolf Carnap (born 1891 in Ronsdorf, Germany, died 1970 in Santa Monica, California) was an immensely influential analytic philosopher, who has contributed decisively to the fields of logic, epistemology, semantics, philosophy of science, and philosophy of language. He was one of the leading figures of the Vienna Circle, and a prominent logical positivist. He studied philosophy, physics and mathematics at the universities of Berlin and Freiburg, and worked at the universities of Jena, Vienna and Prague until 1935, when he, due to the war, emigrated to the U.S., where he became an American citizen in 1941. In America he became professor of the University of Chicago.‎ Bookseller reference : 44775	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 429,76 Buy
‎"CARNAP, RUDOLF.‎ ‎Foundations of Logic and Mathematics.‎ ‎Chicago, The University of Chicago Press, (1953). 8vo. In the original blue printed wrappers. Light miscolouring and wear to extremities. Paper label pasted on to verso of back wrapper. Otherwise a fine and clean copy. VIII, 71 pp.‎ ‎Seventh impression of Carnap's seminal publication of his semantical period. Here Carnap presents a clear and detailed account of the application of logic and mathematics in empirical science and the central importance of the analytic/synthetic distinction herein.Carnap thought that the logic of science could be fruitfully applied to the problems of quantum theory as well. In particular, the final sections of Foundations of Logic and Mathematics (1939, 24, 25) suggest that the vexed question of the ""interpretation"" of the wave-function can be resolved by appreciating that theories of modern mathematical physics operate with ""abstract"" terms which are implicitly defined, in the manner of Hilbert, in an axiomatic system (and thus require no ""intuitive"" or ""visualizable"" meaning) but which still relate to empirical phenomena (experimental measurements) indirectly. (Cambridge Companion to Carnap).These thoughts anticipate Carnap's later conception of the ""partial interpretation"" of theoretical terms.Rudolf Carnap (born 1891 in Ronsdorf, Germany, died 1970 in Santa Monica, California) was an immensely influential analytic philosopher, who has contributed decisively to the fields of logic, epistemology, semantics, philosophy of science, and philosophy of language. He was one of the leading figures of the Vienna Circle, and a prominent logical positivist. He studied philosophy, physics and mathematics at the universities of Berlin and Freiburg, and worked at the universities of Jena, Vienna and Prague until 1935, when he, due to the war, emigrated to the U.S., where he became an American citizen in 1941. In America he became professor of the University of Chicago.‎ Bookseller reference : 49897	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 67,15 Buy
‎"CARTAN, ÉLIE.‎ ‎La Géométrie des espaces de Riemann.‎ ‎Paris, Gauthier-Villars et Cie, 1925. Uncut in orig. printed wrappers. (Mémorial des Sciences Mathématiques...Fascicule IX). (4),60,(4) pp. Small tears to backstrip, no loss.‎ ‎First edition. The modern theory of differential geometry grew up in the years following Einstein's introduction of his general theory of relativity, by the work of Elie Cartan (his Géométrie des espaces de Riemann) and Herman Weyl.""Cartan was one of the most profound mathematicians of the last hundred years, and his influence is still one of the most decisive in the development of modern mathematics...Cartan's contributions to differential geometry are no less impressive, and it may be said that he revitalized the whole subject, for the initial work of Riemann and Darboux was being lost in dreary computations and minor results...his guiding principle was a considerable extension of the method of ""moving frames"" of Darboux and Ribaucooour, to which he gave a tremendous flexibility and power, far beyond anything that had been done in classical differential geometry."" (Jean Dieudonne in DSB).‎ Bookseller reference : 38704	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 604,35 Buy
‎"CAUCHY, AUGUSTIN. - CAUCHY'S THORY OF EQUIVALENCES.‎ ‎Mémoire sur une nouvelle théorie des imaginaires, et sur les racines symboliques des équations et des équivalences.‎ ‎(Paris, Bachelier), 1847. 4to. Without wrappers. In ""Comptes rendus hebdomadaires des séances de l’Académie des sciences"", Vol. 24, No 26. Pp. (1117-) 1160. (Entire issue offered). Cauchy's paper: pp. 1120-1130.‎ ‎First apperance of this impiortent paper in which Cauchy presents his theory of algebraic equivalences where imaginary numbers were regarded as equivalent classes of polynominals with real coefficients modulo (X2 + 1).The paper gave rise to a heated debate in the Academy (see Bruno Belhoste ""Augustin-Louis Cauchy. A Biography."" pp. 210 ff.).""Augustin Louis Cauchy... objects to the use of complex or imaginary numbers and finds a method of eliminating i (the square root of negative 1) by constructing residues to the modulus X2 + 1. These residues have the formal properties of the complex number system, with x replacing i."" (Parkinson ""Breakthroughs, 1847 M).‎ Bookseller reference : 47261	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 201,45 Buy
‎"CAUCHY, AUGUSTIN + I.J. BIENAYMÉ - THE CAUCHY DISTRIBUTION AND THE PROOF OF CLT.‎ ‎Mémoire sur l'évaluation d'inconnues déterminées par un grand nombre d'équations approximatives du premier degré. (+) Mémoire sur l'interpolation, ou Renarques sur les remarques de M. Jules Bienaymé. (+) Sur la nouvelles méthode d'interpolat...‎ ‎(Paris, Bachelier),1853. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome XXXVI, No. 26 and tome XXXVII. No. 3,4,6,7,9,10 (entire issues offered). The papers: pp. 1114-1122, 64-69, 100-109, 198-206, 264-272, 326-334, 381-385. Some scattered brownspots.‎ ‎First printing of these importent papers in probability theory, introducing the Cauchy-Distribution and proving the Central Limit Theorem (CLT).""In the course of these investigations Cauchy proved the central limit theorem by means of Fourier transforms in a much more general setting than Laplace had done."" (DSB).‎ Bookseller reference : 48829	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 248,45 Buy
‎"CAYLEY, ARTHUR.‎ ‎Note on a Family of Curves of the Fourth Order.‎ ‎Cambridge, Macmillan and Co., 1850. 8vo. Bound in contemporary half calf with black and red title labels to spine with gilt lettering. In ""The Cambridge and Dublin Mathematical Journal"", Vol. V [5], (Being Vol. IX [9], of the Cambridge Mathematical Jorunal), 1850. Bookplate pasted on to pasted down front free end-paper and library code written in hand to lower part of spine. Library cards in the back. A fine and clean copy. Pp. 148-59. [Entire volume: IV, 288 pp.].‎ ‎First printing of Cayley's important paper on curves of the fourth order. ""As an example of a remarkable property of cubic surfaces there was Cayley's discovery in 1849 [the present paper], of the existence of exactly 27 lines on every surface of the third degree. Not all need be real but there are surfaces for which they are all real."" (Kleine, P. 859).The volume contains many other important contributions by contemporary mathematicians.‎ Bookseller reference : 47401	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 376,04 Buy
‎"CAYLEY, A.‎ ‎Note sur la transformation de Tschirnhausen (+) Deuxième sur la transformation de Tschirnhausen.‎ ‎Berlin, Georg Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1861, band 58. Without backstrip. Fine and clean. Pp. 259-69.‎ ‎First apperance of these two papers in which Cayley obtained the transformed equations for the cubic and quartic equations.‎ Bookseller reference : 49346	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 134,30 Buy
‎"CAYLEY, (ARTHUR)‎ ‎On the Double Tangents of a Plane Curve. Received March 17, - Read April 14, 1859.‎ ‎(London, Taylor and Francis, 1859). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1859 - Vol. 149 - Part I. Pp. 193-212. Clean and fine.‎ ‎First printing of the paper in which Cayley gives a solution to the problem of double tangents.‎ Bookseller reference : 45119	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 53,72 Buy
‎"CAYLEY, (ARTHUR)‎ ‎On the Analytical Theory of the Conic. Received May 8, - Read May 15, 1862.‎ ‎(London, Taylor and Francis, 1862). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1862 - Vol. 152 - Part I. Pp. 639-662. Clean and fine.‎ ‎First printing of an importent paper in analytical geometry.‎ Bookseller reference : 45121	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 67,15 Buy
‎"CAYLEY, (ARTHUR)‎ ‎On the Curves which satisfy given Conditions. Received April 18, - Read May 2, 1867. (+) Second Memoir on the Curves...(2 Papers).‎ ‎(London, Taylor and Francis, 1869). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1868 - Vol. 158. Pp. 75-143 a. pp. 145-172. Clean and fine.‎ ‎First printings on 2 influential memoirs on the analytical geometry of curves.‎ Bookseller reference : 45122	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 161,16 Buy
‎"CAYLEY, (ARTHUR).‎ ‎On the Sextactic Points of a Plane Curve. Received November 5, - Read december 22, 1864.‎ ‎(London, Taylor and Francis, 1865). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1865 - Vol. 155 - Part II. Pp. 545-578.‎ ‎First printing of an importent paper. Cayley was the to determine the sextic curve.‎ Bookseller reference : 45984	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 100,72 Buy
‎"CAYLEY, (ARTHUR).‎ ‎On Tschirnhausen's Transformation. Received November 7, - Read December 5, 1861.‎ ‎(London, Taylor and Francis, 1862). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1862 - Vol. 152 - Part I. Pp. 561-578.‎ ‎First printing.‎ Bookseller reference : 45985	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 67,15 Buy
‎"CAYLEY, ARTHUR.‎ ‎On the Theory of Groups, as depending on the Symbolic Equation thetan=1. - [THE THEORY OF GROUPS]‎ ‎London, Taylor & Francis, 1854. 8vo. Bound in contemporary half calf with gilt lettering and five raised bands in gilt to spine. In ""Philosophical Magazine"", Fourth Series, Vol. 7. 1854. Wear to extremities and stamp to title-page. Otherwise fine and clean. Pp. 40-47. (Entire volume: VII, (1), 536 pp. + 4 engraved plates.)‎ ‎First edition The first abstract definition and treatment of the concept of a group. Lagrange and Galois had, among others, already used group theoretic methods for solving polynomial equations"" however, they considered only particular examples of groups, e.g., roots. It was Cayley, who first gave an abstract definition of groups as a collection of symbols equipped with an operation. In this paper he also proved that every group is isomorphic to a group of permutations, i.e. Cayley's Theorem, and he introduced the so called ""Cayley Tables"".‎ Bookseller reference : 47094	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 470,05 Buy
‎"CANTOR, G.‎ ‎Sur les ensembles infinis et linéaires de points (I-IV).‎ ‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1883]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 2. No backstrip. Fine and clean. Pp. 349-380.‎ ‎First printing of Poincaré's concluding papers on transfinite numbers.‎ Bookseller reference : 46181	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 161,16 Buy
‎"CAYLEY, ARTHUR & GIUSEPPE VERONESE.‎ ‎Sur quelques théorèmes de la géométrie de position (Cayley) (+) Behandlung der projectivischen Verhältnisse der Räume von verschiedenen Dimensionen durch das Princip des Projicirens und Schneidens. 2 vols. - [THE CAYLEY-VERONESE CLASS OF CONFIGURATIONS.]‎ ‎Berlin, G. Reimer, 1846. - Leipzig, B.G. Teubner, 1881. 4to and 8vo. Cayley's paper in ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, Bd. 31: Drittes Heft.1846"". Pp. (179-)268,(2) and 1 plate. The whole issue (Drittes Heft) present with titlepage, stitched without wrappers. Cayley's paper pp. 213-226. - Veronese's paper in ""Mathematische Annalen. In Verbindung mit C. Neumann...hrsg. von Felix Klein und Adolph Meyer. XIX. Band. 2 Heft. 1881."" Pp. (161-)234. The whole issue (2. Heft) present with orig. printed wrappers. No backstrip. Veronese's paper pp. (161-)234.‎ ‎Both papers first edition and first apperance in print of these two main papers in the history of projective geometry.""Cayley, in his paper ""Sur quelques théorèmes de la géométrie de position"", (the paper offered) first calls attention to the figures obtained by taking the section, by a plane or 3-dimensional space, of the complete n-point (viz., n points, and the (n/2) lines, (n/3) plans etc. dtermined by them) in a flat spaceof v dimensions. Later Veronese discusses more fully the nature of this class of configurations thus obtained in r dimensions (the second paper offered). Both Cayley and Veronese state that these same configurations can also be obtained as projections of higher-dimensional figures."" (Walter B. Carver). Veronese ""in particular may be considered the main founder of the projective geometry of hyperspaces with n dimensions, which had previously been linear algebra presented geometrically, rather than geometry.""(DSB). - An: Veronese-paper see Sommerville Bibliography of Non-Euclidean Geometry, 1881:3.This issue of ""Crelle's Journal"" contains one more paper of Cayley: ""Problème de géometrie analytique."", pp. 227-230.‎ Bookseller reference : 41240	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 738,65 Buy
‎"CAYLEY, ARTHUR.‎ ‎Sur quelques propriétés des déterminants gauches.‎ ‎Berlin, Georg Reimer, 1846. 4to. In ""Journal für die reine und angewandte Mathematik, 32. Band, 2 Heft, 1846"". In the original printed wrappers, without backstrip. Front wrapper with a brown mark to top left corner, otherwise fine and clean. [Cayley:] Pp. 119-23. [Entire issue: Pp. 93-180, (2)].‎ ‎First printing of Cayley's paper on Rotation matrix or skew-symmetric matrix (a square matrix A whose transpose is also its negative).""By 1846 Cayley had made use of four dimensions in the enunciation of specifically synthetic geometrical theorems, suggesting methods later developed by Veronese (C. M. P., I, no. 50 [1846], 317-328). Long afterward Cayley laid down in general terms, without symbolism, the elements of the subject of ""hyperspace"" (cf his use of the terms ""hyperelliptic theta functions,"" ""hyperdetermtnant,"" and so on) in his ""Memoir on Abstract Geometry"" (C. M. P., VI, no. 413 [1870], 456-469), showing that he was conscious of the metaphysical issues raised by his ideas in the minds of his followers but that as a mathematician he was no more their slave then than when remarking in his paper of 1846 (published in French): ""We may in effect argue as follows, without having recourse to any metaphysical idea as to the possibility of space of four dimensions (all this may be translated into purely analytic language)."""" (DSB)‎ Bookseller reference : 45097	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 107,44 Buy
‎"CANTOR, G.‎ ‎Sur une propriété du systéme de tous les nombres algébriques réels. [Translated from the German: Über eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen]. - [FIRST CONTRIBUTION TO SET THEORY AND THE BIRTH OF THE THEORY OF THE TRANSFINITE]‎ ‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1883]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Bd. 2. Fine and clean. Pp. 305-328.‎ ‎First French [and general] translation of Cantor's famous and exceedingly influential paper which contains the first proof that the set of all real numbers is uncountable"" also contains a proof that the set of algebraic numbers is denumerable. ""This article is Cantor's first published contribution to the theory of sets. The deep and epoch-making result of the paper is not the easy theorem alluded to in the title - the theorem that that the class of real algebraic numbers is countable - but rather the proof, in 2, that the class of real numbers is not countable [...]. And that marks the start of the theory of the transfinite. [Ewald, Pp. 839-40].""The first published writing on set theory [the present paper], contained more than the title indicated, including not only the theorem on algebraic numbers but also the one on real numbers, in Dedekind's simplified version, which differs from the present version in that today we use the ""diagonal process,"" then unknown"" (DSB)‎ Bookseller reference : 45857	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 429,76 Buy
‎"CANTOR, G.‎ ‎Sur les séries trigonométriques (transl. of Über trigonometrische Reihen) (+) Extension d'un théoréme de la théorie des séries trigonométriques.‎ ‎Berlin, Stockholm, Paris, Beijer, 1883. 4to. As extracted from ""Acta Mathematica, 2. band."", Clean and fine. Pp. 329-348.‎ ‎First transation of Cantor's important papers on trigonometric series.‎ Bookseller reference : 46012	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 107,44 Buy
‎"CAMUS, CHARLES ÈTIENNE LOUIS. - THE GEAR OF TIMEKEEPERS.‎ ‎Sur la Figure des Dents des Roues, et des Aisles des Pignons, pour rendre les Horloges plus parfaites.‎ ‎(Paris, L'Imprimerie Royale, 1735). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1733"". Pp. 117-140 and 4 folded engraved plates. Fine and clean.‎ ‎By this paper Camus was the first to work out the mathematical theory of gearteeth into a systematical and general theory of the mechanism.‎ Bookseller reference : 46584	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 335,75 Buy
‎"CAYLEY, ATHUR.‎ ‎Tables des formes quadratiques binaires pour les determinants negatifs depuis D = - 1 jusqu'à D= - 100, pour les déterminants positifs non carrés depuis D = 2 jusqu'à D = 99, et pour les treize déterminants négatifs irréguliers qui se trouvent dans ...‎ ‎Berlin, G. Reimer, 1862. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 60. Band, 1862""., without backstrip. Fine and clean. [Cayley:] Pp. 357-372.‎ ‎First printing of Cayley's paper including many tables of tables of binary quadratic forms.‎ Bookseller reference : 48049	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 80,58 Buy
‎"CAPELLI, ALFREDO.‎ ‎Ueber die Zurückführung der Cayley'schen Operation O auf gewöhnliche Polar-Operationen. - [CAPELLI'S IDENTITY]‎ ‎Leipzig, B.G. Teubner, 1887. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 29, 1887. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Fine and clean. Pp. 331-338. [Entire volume: IV, 582 pp.].‎ ‎First printing of Capelli's Identity: an analogue of the formula det(AB) = det(A) det(B), for certain matrices with noncommuting entries, related to the representation theory of the Lie algebra.‎ Bookseller reference : 47181	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 134,30 Buy
‎"CANTOR, GEORG.‎ ‎Über unendliche, lineare Punktmannichfaltigkeiten. - [THE THEORY OF SETS AND INFINITE SETS - THE FINAL PAPER]‎ ‎Leipzig, B.G. Teubner, 1884. 8vo. Bound in a nice contemporary half calf with five raised gilt bands. Red leather title label with gilt lettering to spine. All edged gilt. In ""Mathematische Annalen"", Band 23, 1884. Entire volume offered. Corners with wear, otherwise a very fine and clean copy. Pp. 453-488. [Entire volume: IV, 598, (2) pp.].‎ ‎First printing of Cantor's seminal sixth paper in the landmark series consisting of a total of six papers which together constitute the foundation Theory of Sets (Mengenlehre) and Transfinite Set Theory. Cantor here introduces his new Set Theory with which he created an entirely new field of mathematical research and is widely regarded as being one of the most important mathematical conquests in the 19th century. ""Cantor published a sequel in the following year as a sixth in the series of papers on the Punktmannigfaltigkeitslehre (The present paper). Though it did not bear the title of its predecessor, its sections were continuously numbered, 15 through 19"" it was clearly meant to be taken as a continuation of the earlier 14 sections of the ""Grundlagen"" itself. In searching for a still more comprehensive analysis of continuity, and in the hope of establishing his continuum hypothesis, he focused chiefly upon the properties of perfect sets and introduced as well an accompanying theory of content"" (Dauben, P. 111)Hilbert spread Cantor's ideas in Germany and praised Cantor's transfinite arithmetic as ""the most astonishing product of mathematical thought, one of the most beautiful realizations of human activity in the domain of the purely intelligible"". He is famously quoted for saying ""No one shall expel us from the paradise which Cantor created for us"". Bertrand Russel described Cantor's work as ""probably the greatest of which the age can boast"".""The major achievement of the ""Grundlagen"" was its presentation of the transfinite ordinal numbers as a direct extension of the real numbers. Cantor admitted that his new ideas might seem strange, even controversial, but he had reached a point in his study of the continuum where the new numbers were indispensable for further progress. Cantor had finally come to the realization that his 'infinite symbols' were not just indices for derived sets of the second species, but could be regarded as actual transfinite numbers that were just as real mathematically as the finite natural numbers."" (Grattan-Guinness, Landmark Writings in Western Mathematics, Pp. 604-5).Dauben: (Cantor)1884a.‎ Bookseller reference : 47159	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 738,65 Buy
‎"CANTOR, GEORG.‎ ‎Über unendliche, lineare Punktmannichfaltigkeiten. - [THE THEORY OF SETS AND INFINITE SETS - THE SECOND PAPER]‎ ‎Leipzig, B.G. Teubner, 1880. 8vo. Bound in a nice contemporary half calf with five raised gilt bands. Red leather title label with gilt lettering to spine. All edged gilt. In ""Mathematische Annalen"", Band 17, 1880. Entire volume offered. Corners with wear, otherwise a very fine and clean copy. Pp. 355-358. [Entire volume: IV, 576 pp.].‎ ‎First printing of Cantor's important second paper of the landmark series consisting of a total of six papers which together constitute the foundation Theory of Sets (Mengenlehre) and Transfinite Set Theory. Cantor here introduces his new Set Theory with which he created an entirely new field of mathematical research and is widely regarded as being one of the most important mathematical conquests in the 19th century. ""Cantor's second paper of 1880 was brief. It continued the bricklaying work of the article of 1879, and it too sought to reformulate old ideas in the context of linear point sets. It also introduced for the first time an embryonic form of Cantor's boldest and most original discovery: the transfinite numbers. As a preliminary to their description, however, Cantor introduced several definitions. He also pointed out that first species sets could be completely characterized by their derived sets."" (Dauben, P. 80)Hilbert spread Cantor's ideas in Germany and praised Cantor's transfinite arithmetic as ""the most astonishing product of mathematical thought, one of the most beautiful realizations of human activity in the domain of the purely intelligible"". He is famously quoted for saying ""No one shall expel us from the paradise which Cantor created for us"". Bertrand Russel described Cantor's work as ""probably the greatest of which the age can boast"".""The major achievement of the ""Grundlagen"" was its presentation of the transfinite ordinal numbers as a direct extension of the real numbers. Cantor admitted that his new ideas might seem strange, even controversial, but he had reached a point in his study of the continuum where the new numbers were indispensable for further progress. Cantor had finally come to the realization that his 'infinite symbols' were not just indices for derived sets of the second species, but could be regarded as actual transfinite numbers that were just as real mathematically as the finite natural numbers."" (Grattan-Guinness, Landmark Writings in Western Mathematics, Pp. 604-5).Dauben: (Cantor)1880d.‎ Bookseller reference : 47160	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 671,50 Buy
‎"CANTOR, GEORG.‎ ‎Über unendliche, lineare Punktmannichfaltigkeiten. - [THE THEORY OF SETS AND INFINITE SETS - THE FIRST PAPER]‎ ‎Leipzig, B.G. Teubner, 1879. 8vo. Bound in a nice contemporary half calf with five raised gilt bands. Red leather title label with gilt lettering to spine. All edged gilt. In ""Mathematische Annalen"", Band 15, 1879. Entire volume offered. Corners with wear, otherwise a very fine and clean copy. Pp. 1-7. [Entire volume: IV, 576 pp.].‎ ‎First printing of Cantor's seminal exceedingly important first paper in his landmark series of six papers which together constitute the foundation Theory of Sets (Mengenlehre) and Transfinite Set Theory. Cantor here introduces his new Set Theory with which he created an entirely new field of mathematical research and is widely regarded as being one of the most important mathematical conquests in the 19th century. Hilbert spread Cantor's ideas in Germany and praised Cantor's transfinite arithmetic as ""the most astonishing product of mathematical thought, one of the most beautiful realizations of human activity in the domain of the purely intelligible"". He is famously quoted for saying ""No one shall expel us from the paradise which Cantor created for us"". Bertrand Russel described Cantor's work as ""probably the greatest of which the age can boast"".""The major achievement of the ""Grundlagen"" was its presentation of the transfinite ordinal numbers as a direct extension of the real numbers. Cantor admitted that his new ideas might seem strange, even controversial, but he had reached a point in his study of the continuum where the new numbers were indispensable for further progress. Cantor had finally come to the realization that his 'infinite symbols' were not just indices for derived sets of the second species, but could be regarded as actual transfinite numbers that were just as real mathematically as the finite natural numbers."" (Grattan-Guinness, Landmark Writings in Western Mathematics, Pp. 604-5).Dauben: (Cantor)1879b.‎ Bookseller reference : 47161	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [Books from Herman H. J. Lynge & Son] € 872,95 Buy
‎"CAMUS, CHARLES ÈTIENNE LOUIS. - THE GEAR OF TIMEKEEPERS.‎ ‎Sur la Figure des Dents des Roues, et des Aisles des Pignons, pour rendre les Horloges plus parfaites.‎ ‎(Paris, L'Imprimerie Royale, 1735). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1733"". Pp. 117-140 and 4 folded engraved plates. Fine and clean.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 335,70 Buy
‎"CANTOR, G.‎ ‎Fondements d'une théorie générale des ensembles (+) Sur divers théorémes de la théorie des ensembles de points situs - dans un espace continu a n dimensions. - [SET THEORY]‎ ‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1883]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 2. Fine and clean. Pp. 381-414.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 268,56 Buy
‎"CANTOR, G.‎ ‎Sur les ensembles infinis et linéaires de points (I-IV).‎ ‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1883]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 2. No backstrip. Fine and clean. Pp. 349-380.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 161,13 Buy
‎"CANTOR, G.‎ ‎Sur les séries trigonométriques (transl. of Über trigonometrische Reihen) (+) Extension d'un théoréme de la théorie des séries trigonométriques.‎ ‎Berlin, Stockholm, Paris, Beijer, 1883. 4to. As extracted from ""Acta Mathematica, 2. band."", Clean and fine. Pp. 329-348.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 107,42 Buy
‎"CANTOR, G.‎ ‎Sur une propriété du systéme de tous les nombres algébriques réels. [Translated from the German: Über eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen]. - [FIRST CONTRIBUTION TO SET THEORY AND THE BIRTH OF THE THEORY OF THE TRANSFINITE]‎ ‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1883]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Bd. 2. Fine and clean. Pp. 305-328.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 429,69 Buy
‎"CANTOR, GEORG (+) WILHELM KILLING.‎ ‎Bemerkung mit Bezug auf den Aufsatz: Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen (+) Die Zusammensetzung der stetigen endlichen Transformationsgruppen.‎ ‎Leipzig, B. G. Teubner, 1889. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 33., 1889. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Very fine and clean. P. 476" " Pp. 1-48. [Entire volume: IV, 604 pp.].‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 214,85 Buy
‎"CANTOR, GEORG.‎ ‎Bemerkung mit Bezug auf den Aufsatz: Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen in Math. Annalen. Bd. XXXIII, p. 154. - [CANTOR ON NUMBER THEORY]‎ ‎Leipzig, B.G. Teubner, 1889. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet 1889 durch Rudolf Friedrich Alfred Clebsch. XXXIII.[33] Band. 3. Heft."" Entire issue offered. Internally very fine and clean. [Cantor:] P. 476. [Entire issue: Pp. (1), 318-476, (1)].‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 201,42 Buy
‎"CANTOR, GEORG.‎ ‎Über unendliche, lineare Punktmannichfaltigkeiten. - [THE THEORY OF SETS AND INFINITE SETS - THE FINAL PAPER]‎ ‎Leipzig, B.G. Teubner, 1884. 8vo. Bound in a nice contemporary half calf with five raised gilt bands. Red leather title label with gilt lettering to spine. All edged gilt. In ""Mathematische Annalen"", Band 23, 1884. Entire volume offered. Corners with wear, otherwise a very fine and clean copy. Pp. 453-488. [Entire volume: IV, 598, (2) pp.].‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 738,53 Buy
‎"CANTOR, GEORG.‎ ‎Über unendliche, lineare Punktmannichfaltigkeiten. - [THE THEORY OF SETS AND INFINITE SETS - THE SECOND PAPER]‎ ‎Leipzig, B.G. Teubner, 1880. 8vo. Bound in a nice contemporary half calf with five raised gilt bands. Red leather title label with gilt lettering to spine. All edged gilt. In ""Mathematische Annalen"", Band 17, 1880. Entire volume offered. Corners with wear, otherwise a very fine and clean copy. Pp. 355-358. [Entire volume: IV, 576 pp.].‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 671,39 Buy
‎"CANTOR, GEORG.‎ ‎Über unendliche, lineare Punktmannichfaltigkeiten. - [THE THEORY OF SETS AND INFINITE SETS - THE FIRST PAPER]‎ ‎Leipzig, B.G. Teubner, 1879. 8vo. Bound in a nice contemporary half calf with five raised gilt bands. Red leather title label with gilt lettering to spine. All edged gilt. In ""Mathematische Annalen"", Band 15, 1879. Entire volume offered. Corners with wear, otherwise a very fine and clean copy. Pp. 1-7. [Entire volume: IV, 576 pp.].‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 872,81 Buy
‎"CANTOR, GEORG. - THE FUNDAMENTAL PAPERS ON SET-THEORY, TRANSFINITE NUMBERS, THE CONTINUUM ETC.‎ ‎Collection of 13 fundamental papers by Cantor (of which 12 are the first translations into French). 1. Sur une propriété du systeme de tous les nombrés algébriques réels (translation of ""Über eine Eigenschaft des Inbegriffes aller reellen algebraisc...‎ ‎Stockholm, F. & G. Beijer, 1883, 1884, 1885. 4to. Contained in 3 issues from ""Acta Mathematica"", Vol. 2:4, vol. 4:4 a. vol. 7:2. All 3 issues with orig. printed wrappers, no backstrip.Vol. 2:4: pp. 305-310, 311-328, 329-335, 336-348, 349-380, 381-408, 409-414. - Vol. 4:4: pp. 381-392 - Vol. 7:2: pp.105-124.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 1.141,37 Buy
‎"CAPELLI, ALFREDO.‎ ‎Ueber die Zurückführung der Cayley'schen Operation O auf gewöhnliche Polar-Operationen. - [CAPELLI'S IDENTITY]‎ ‎Leipzig, B.G. Teubner, 1887. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 29, 1887. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Fine and clean. Pp. 331-338. [Entire volume: IV, 582 pp.].‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 134,28 Buy
‎"CARNAP, RUDOLF.‎ ‎Der Raum. Ein Beitrag zur Wissenschaftslehre. - [SPACE - CARNAP'S FIRST PUBLICATION]‎ ‎Berlin, Reuther & Reichard, 1922. 8vo. Uncut in the original grey printed wrappers w. very neat professional repairs to inner hinges and to capitals. Printing on spine nearly fully intact. A very faint waterstaining to upper corner throughout, otherwise a very good, nice and clean copy of a publication, which in itself is quite fragile. 87 pp.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 805,67 Buy
‎"CARNAP, RUDOLF.‎ ‎Der Raum. Ein Beitrag zur Wissenschaftslehre. - [SPACE - CARNAP'S FIRST PUBLICATION]‎ ‎Berlin, Reuther & Reichard, 1922. 8vo. Original grey printed wrappers w. very minor loss to capitals. Printing on spine nearly fully intact. Internally near mint. A very good, nice and clean copy of a publication, which in itself is quite fragile. 87 pp.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 738,53 Buy
‎"CARNAP, RUDOLF.‎ ‎Foundations of Logic and Mathematics.‎ ‎Chicago, The University of Chicago Press, (1939). 8vo. In the original blue printed wrappers. A very nice and clean copy - near mint. VIII, 71 pp.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 429,69 Buy
‎"CARNAP, RUDOLF.‎ ‎Foundations of Logic and Mathematics.‎ ‎Chicago, The University of Chicago Press, (1953). 8vo. In the original blue printed wrappers. Light miscolouring and wear to extremities. Paper label pasted on to verso of back wrapper. Otherwise a fine and clean copy. VIII, 71 pp.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 67,14 Buy
‎"CARTAN, ÉLIE.‎ ‎La Géométrie des espaces de Riemann.‎ ‎Paris, Gauthier-Villars et Cie, 1925. Uncut in orig. printed wrappers. (Mémorial des Sciences Mathématiques...Fascicule IX). (4),60,(4) pp. Small tears to backstrip, no loss.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 604,25 Buy
‎"CAUCHY, AUGUSTIN + I.J. BIENAYMÉ - THE CAUCHY DISTRIBUTION AND THE PROOF OF CLT.‎ ‎Mémoire sur l'évaluation d'inconnues déterminées par un grand nombre d'équations approximatives du premier degré. (+) Mémoire sur l'interpolation, ou Renarques sur les remarques de M. Jules Bienaymé. (+) Sur la nouvelles méthode d'interpolat...‎ ‎(Paris, Bachelier),1853. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome XXXVI, No. 26 and tome XXXVII. No. 3,4,6,7,9,10 (entire issues offered). The papers: pp. 1114-1122, 64-69, 100-109, 198-206, 264-272, 326-334, 381-385. Some scattered brownspots.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 248,42 Buy
‎"CAUCHY, AUGUSTIN. - CAUCHY'S THORY OF EQUIVALENCES.‎ ‎Mémoire sur une nouvelle théorie des imaginaires, et sur les racines symboliques des équations et des équivalences.‎ ‎(Paris, Bachelier), 1847. 4to. Without wrappers. In ""Comptes rendus hebdomadaires des séances de l’Académie des sciences"", Vol. 24, No 26. Pp. (1117-) 1160. (Entire issue offered). Cauchy's paper: pp. 1120-1130.‎	MareMagnum Bookshop Herman H. J. Lynge & Søn Copenhagen, DK [Books from Bookshop Herman H. J. Lynge & Søn] € 201,42 Buy

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