‎Mathematics‎

‎"HILBERT, DAVID.‎

‎Ueber die Endlichkeit des Invariantensystems für binäre grundformen (+) Ueber Büschel von binären Formen mit vorgeschriebener Functionaldeterminante. - [""WITHOUT DOUBT THIS IS THE MOST IMPORTANT WORK ON GENERAL ALGEBRA""]‎

‎Leipzig, B.G. Teubner, 1888. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet 1888 durch Rudolf Friedrich Alfred Clebsch. XXXIII.[33] Band. 2. Heft."" Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 223-6"" Pp.227-36 [Entire issue: Pp. 161-316].‎

‎First printing of Hilbert's exceedingly important and groundbreaking paper in which he proved his famous Basis Theorem that is, if every ideal in a ring R has a finite basis, so does every ideal in the polynomial ring R[x]. Hilbert had thus connected the theory of invariants to the fields of algebraic functions and algebraic varieties. When Felix Klein read the paper he wrote ""I do not doubt that this is the most important work on general algebra that the Mathematische Annalen has ever published.""Hilbert submitted a paper proving the finite basis theorem to Mathematische Annalen. However Gordan was the expert on invariant theory for the journal and he found Hilbert's revolutionary approach difficult to appreciate. He refereed the paper and sent his comments to Klein:""The problem lies not with the form ... but rather much deeper. Hilbert has scorned to present his thoughts following formal rules, he thinks it suffices that no one contradict his proof ... he is content to think that the importance and correctness of his propositions suffice. ... for a comprehensive work for the Annalen this is insufficient.""Gordan rejected the article. His - now famous - comment was: Das ist nicht Mathematik. Das ist Theologie. (i.e. This is not Mathematics. This is Theology).However, Hilbert had learnt through his friend Hurwitz about Gordan's letter to Klein and Hilbert wrote himself to Klein in forceful terms:""... I am not prepared to alter or delete anything, and regarding this paper, I say with all modesty, that this is my last word so long as no definite and irrefutable objection against my reasoning is raised.""At the time Klein received these two letters from Hilbert and Gordan, Hilbert was an assistant lecturer while Gordan was the recognised leading world expert on invariant theory and also a close friend of Klein's. However Klein recognised the importance of Hilbert's work and assured him that it would appear in the Annalen without any changes whatsoever, as indeed it did. Hilbert expanded on his methods in a later paper, again submitted to the Mathematische Annalen [1893] and Klein,after reading the manuscript, wrote to Hilbert saying:-I do not doubt that this is the most important work on general algebra that the Annalen has ever published.Later, after the usefulness of Hilbert's method was universally recognized, Gordan himself said: ""I have convinced myself that even theology has its merits"".(Klein. Development of mathematics in the 19th century. P. 311).Sometimes Hilbert's first publication of the Basis Theorem is referred to as being published in the paper ""Zur Theorie der algebraischen Gebilde"" in Göottinger Nachrichten in 1888. This, however, was published in December 1888 and the present issue was published in March.‎

Bookseller reference : 44430

‎"HILBERT, DAVID.‎

‎Ueber die gerade Linie als kürzeste Verbindung zweier Punkte. (Aus einem an Herrn F. Klein gerichteten Briefe). - [FIRST PUBLICATION OF THE HILBERT METRIC]‎

‎Leipzig, B.G. Teubner, 1895. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 46. Band. 1. Heft.""Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 91-96. [Entire issue: IV, 160 pp].‎

‎First printing of Hilbert's groundbreaking paper in which ""Hilbert's Metric"" (or Hilbert's projective metric) - and the metric in general - was introduced. The Hilbert metric an a closed convex cone that can be applied to various purposed in non-Euclidean geometryThe usefulness of Hilbert's metric were made clear in 1957 by Garrett Birkhoff who showed that the Perron-Frobenius theorem for non-negative matrices and Jentzch's theorem for integral operators with positive kernel could both be proved by an application of the Banach contraction mapping theorem in suitable metric spaces. (Serrin. Hilbert's Matric. P. 1).‎

Bookseller reference : 44580

‎"HILBERT, DAVID.‎

‎Ueber die reellen Züge algebraischer Curven.‎

‎Leipzig, B.G. Teubner, 1891. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 38. Band. 1. Heft."".(Entire issue offered). Titlepage to Bd. 38. IV,160 pp. a. 1 folded plate. Hilbert's paper: pp. 115-138.‎

‎First apperance of an importent paper on algebraic geometry.The issue contains also Felix Klein ""Ueber Normierung der linearen Differentialgleichungen zweiter Ordnung"", pp. 144-152.‎

Bookseller reference : 45868

‎"HILBERT, DAVID.‎

‎Ueber die Theorie des relativquadratischen Zahlkörpers. - [A MAIN WORK ON ALGEBRAIC NUMBER-THEORY]‎

‎Leipzig, B.G. Teubner, 1898. Orig. printed wrappers, no backstrip. In: ""Mathematische Annalen begründet durch Alfred Clebsch und Carl Neumann."", 51. Bd., 1. Heft. The whole issue offered (=Heft 1). IV,160 pp. Hilbert's paper pp. 1-127.‎

‎First edition of Hilbert's famous report on algebraic numbers.""The work on algebraic number theory was climaxed in the nineteenth century by Hilbert's famous report on algebraic numbers. This report is primarely an account of what had been done during the century. However Hilbert reworked all of this earlier theory and gave a new, elegant and powerfull methods of securing these results. He had begun to create new ideas in algebraic number theory from about 1892 on and one of the new creations on Galoisian number fields was also incorporated in the report."" (Morris Kline in ""Mathematical Thoughts..."" pp. 825).‎

Bookseller reference : 41356

‎"HILBERT, DAVID.‎

‎Ueber die Vollen Invariantensysteme.‎

‎Leipzig, B.G. Teubner, 1893. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1893 durch Alfred Clebsch und Carl Neumann. 42. Band. 3. Heft."" Entire issue offered. [Hilbert:] Pp. 314-73. [Entire issue: Pp. 314-604].‎

‎First printing of Hilbert's fundamental landmark paper in which he ""INTRODUCED STUNNING NEW IDEAS WHICH HAVE DEEPLY INFLUENCED THE DEVELOPMENT OF MODERN ALGEBRA AND ALGEBRAIC GEOMETRY."" (Buchberger. Gröbner bases and applications. P. 63). The ideas presented in the present paper was introduced in his 1890-paper, but here he ""called attention to the fact that his earlier results failed to give any idea of how a finite basis for a system of invariants could actually be construted. [...] To show how these drawbacks could be overcome, Hilbert thus adopted an even more general standpoint [...]. He described the guiding idea of this culminating paper of 1893 as invariants could actually be constructed"". (Hendricks. Proof theory: history and philosophical significance. P. 59) Hilbert's first work on invariant functions led him to the demonstration in 1888 of his famous finiteness theorem. Twenty years earlier, Paul Gordan had demonstrated the theorem of the finiteness of generators for binary forms using a complex computational approach. Attempts to generalize his method to functions with more than two variables failed because of the exceedingly complicated calculations involved. Hilbert realized that it was necessary to take a completely different path. Hilbert sent his results to the Mathematische Annalen. Gordan, the expert on the theory of invariants for the Mathematische Annalen, did not appreciate the revolutionary nature of Hilbert's theorem and rejected the article. His - now famous - comment was: Das ist nicht Mathematik. Das ist Theologie. (i.e. This is not Mathematics. This is Theology).Klein, on the other hand, recognized the importance of the work immediately, and guaranteed that it would be published without the slightest alterations. Encouraged by Klein and by the comments of Gordan, Hilbert extended his method in a second article, providing estimations on the maximum degree of the minimum set of generators, and he sent it once more to the Annalen. After having read the manuscript, Klein wrote to him, saying: ""WITHOUT DOUBT THIS IS THE MOST IMPORTANT WORK ON GENERAL ALGEBRA that the Annalen has ever published.""Later, after the usefulness of Hilbert's method was universally recognized, Gordan himself said: ""I have convinced myself that even theology has its merits"".(Klein. Development of mathematics in the 19th century. P. 311).‎

Bookseller reference : 44428

‎"HILBERT, DAVID.‎

‎Ueber einen allgemeinen Gesichtspunkt für invariantentheorietische Untersuchungen im binären Formengebiete.‎

‎Leipzig, B.G. Teubner, 1887. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 28., 1887. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of verso of title page. Very fine and clean. Pp. 381-446. [Entire volume: Pp. IV, 600.]‎

‎First printing of Hilbert's ""Habilitationsschrift"", a fundamental work on algebraic invariants. With this he meant to revolutionize the feld by several new methods thatplay no part in the 1888 proof but would reappear to some extent in Hilbert’s (1891-92" 1893) response to Gordan’s criticism. By that time Hilbert’s resultsplus further ones by Gordan would solve Gordan’s problem.‎

Bookseller reference : 47122

‎"HILBERT, DAVID.‎

‎Zur Variationsrechnung. - [HILBERT'S 23RD PROBLEM]‎

‎Leipzig, B. G. Teubner, 1906. 8vo. In the original printed wrappers, without backstrip. In ""Mathematische Annalen, 62. Band., 3. Heft., 1906."". A fine and clean copy. Pp. 351-370. [Entire issue: Pp. 329-448.].‎

‎First printing of Hibert's important paper in which he addressed a number of topics in the Calculus of Variations and thereby extended the ideas given in his account of the 23rd problem. In contrast with Hilbert's other 22 problems, his 23rd is not so much a specific ""problem"" as an encouragement towards further development of the calculus of variations. His work in the present paper led to a modern definition of the field.‎

Bookseller reference : 45202

‎"HILBERT, DAVID.‎

‎Über den Begriff der Klasse von Differentialgleichungen.‎

‎Leipzig, B.G. Teubner, 1912. 8vo. Bound in half cloth with the original wrappers. Marbled boards. In ""Mathematische Annalen. Herausgegeben von A. Clebsch und C. Neumann. 73. Band, Heft 1-4, 1912"". Black leather title label to spine with gilt lettering. Library label pasted on to top of spine and library stamp to title page. Light writing in pencil to front wrapper. [Hilbert:] Pp. 95-108. [Entire issue: IV, (2), 599, (1)].‎

‎First printing of Hilbert's paper on on the concept of the class of differential equations.The issue contain many other papers by contemporary mathematicians.‎

Bookseller reference : 45060

‎"HILBERT, DAVID.‎

‎Über die Transcendenz der Zahlen e und pi. - [ANTICIPATION OF HILBERT'S SEVENTH PROBLEM]‎

‎Leipzig, B.G. Teubner, 1893. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet 1868 durch Rudolf Friedrich Alfred Clebsch. 43. Band. 2. und 3. (Doppel-)Heft.""Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 216-19. [Entire issue: Pp. 145-456].‎

‎First publication of Hilbert's important contribution to transcendental number theory which anticipates Hilbert's seventh problem, the seventh of twenty-three problems proposed by Hilbert in 1900 which became of seminal importance to 20th century mathematics. A transcendental number is a number which is not algebraic-that is, it is not a root of a non-constant polynomial equation with rational coefficients. The most prominent examples of transcendental numbers are pi and e. Euler was the first person to define transcendental numbers - The name ""transcendentals"" comes from Leibniz in his 1682 paper where he proved sin x is not an algebraic function of x.‎

Bookseller reference : 44495

‎"HILBERT, DAVID.‎

‎Über eine Darstellungsweise der invarianten Gebilde in binären Formengebiete (+) Ueber die Singularitäten der Discriminantenfläche (+) Ueber binäre Formenbüschel mit besonderen Combinanteneigenschaften.‎

‎Leipzig, B. G. Teubner, 1887. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 30, 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. Very fine and clean. Pp. 15-29" 437-441" Pp. 561-570. [Entire volume: IV, 596 pp.].‎

‎First printing of these early three papers by Hilbert. David Hilbert, one of the most influential mathematicians of the 19th and early 20th centuries, is probably best known for the ""Hilbert Problems"" - a list of twenty-three problems in mathematics all unsolved at the time, and several of them were very exceedingly influential for 20th century mathematics.He is regarded as one of the founders of proof theory and mathematical logic, as well as for being among the first to distinguish between mathematics and metamathematics.""Hermann Weyl described his teacher Hilbert's style: ""It is as if you were on a swift walk through a sunny open landscape" you look freely around, demarcation lines and connecting roads are pointed out to you, before you must brace yourself to climb the hill" then the path goes straight up."" (Princeton Companion to Mathematics). The present volume contain several other papers by influential contemporary mathematicians.‎

Bookseller reference : 47158

‎"HILBERT, DAVID.‎

‎Über ternäre definite Formen.‎

‎(Berlin, Stockholm, Paris, 1893). 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Vol. 17, pp. 169-197.‎

‎First edition. This importent paper constitutes Hilbert's own version of part of the solution of his ""Mathematische Probleme"" listed at the International mathematical Congress in Paris 1900 (as problem 17) on the ""Expression of definite forms by squares"". ""....But since as I have shown, not every definite form can be compounded by addition from squares of forms, the question arises - which I have answered affirmatively for ternary forms (the paper offered here)- whether every definite form may be expressed as a quotient of sums of squares of forms....""‎

Bookseller reference : 39160

‎"HILBERT, DAVID.‎

‎Über ternäre definite Formen.‎

‎Stockholm, Beijer, 1893. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 17, 1883. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. Pp. 169-197. [Entire volume: (6), 416 pp].‎

‎First edition. This important paper constitutes Hilbert's own version of part of the solution of his ""Mathematische Probleme"" listed at the International mathematical Congress in Paris 1900 (as problem 17) on the ""Expression of definite forms by squares"". ""....But since as I have shown, not every definite form can be compounded by addition from squares of forms, the question arises - which I have answered affirmatively for ternary forms (the paper offered here)- whether every definite form may be expressed as a quotient of sums of squares of forms....""‎

Bookseller reference : 49620

‎"HILBERT, DAVID.‎

‎Über ternäre definite Formen.‎

‎Stockholm, Beijer, 1893. 4to. As extracted from ""Acta Mathematica, 17. Band]. No backstrip. Fine and clean. Pp. 169-197.‎

‎"HILBERT, DAVID. - WARING'S PROBLEM SOLVED.‎

‎Beweis für die Darstellbarkeit der ganzen Zahlen durch eine feste Anzahl nter Potenzen (Waringische Problem).‎

‎Leipzig, B.G. Teubner, 1909. Orig. printed wrappers. No backstrip. In. ""Mathematische Annalen. Hrsg. von Felix Klein, Walther v. Dyck, David Hilbert, Otto Rosenthal"", 67. Bd., 3. Heft. Pp. 281-432 (=3. Heft). Hilbert's paper: pp. 281-300.‎

‎First printing of a groundbreaking work in Number Theory. Edward Waring (1734-98) stated, in his ""Meditationes Algebraicae"" (1770), the theorem known now as ""Waring's Theorem"", that every integer is either a cube or the sum of at most nine cubes"" also every integer is either a fourth power of the sum of at most 19 fourth powers. He conjectured also that every positive integer can be expressed as the sum of at most r kth powers, the r depending on k. These theoremes were not proven by him, but by David Hilbert in the paper offered.Hilbert proves that for every integer n, there exists an integer m such that every integer is the sum of m nth powers. This expands upon the hypotheis of Edward Waring that each positive integer is a sum of 9 cubes (n=3, m=9) and of 19 fourth powers (n= 4, m=19).This issue also contains F. Hausdorff's ""Zur Hilbertschen Lösung des Waringschen Problems"", pp. 301-305.(Se Kline p. 609).‎

Bookseller reference : 41656

‎"HILBERT, DAVID. - HABILITATIONS THESIS.‎

‎Ueber einen allgemeinen Gesichtspunkt für invariantentheorietische Untersuchungen im binären Formengebiete.‎

‎Leipzig, B.G. Teubner, 1887. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 28. Band. 3. Heft."". (Entire issue offered). Pp. 309-456. Hilbert's paper: pp. 381-446.‎

‎"HILBERT, DAVID. - METAMATHEMATICS.‎

‎Die logischen Grundlagen der Mathematik.‎

‎Berlin, Julius Springer, 1923. 8vo. Full cloth. Spine gone. In: ""Mathematische Annalen begründet durch Alfred Clebsch und Carl Neumann."", 88. Bd. (4),312 pp. (Entire volume offered). Hilbert's paper: pp. 151-165. Internally clean and fine.‎

‎"HILBERT, DAVID. - THE HILBERT SPACE-FILLING CURVE.‎

‎Ueber die stetige Abbildung einer Linie auf ein Flächenstück.‎

‎Leipzig, B.G. Teubner, 1891. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 38. Band. 3. Heft."". (Entire issue offered). Pp. 315-460 a. 5 lithographed colourplates. Plates with a dampstain. The plates does not belong to Hilbert's paper). Hilbert's paper: pp. 459-460.‎

‎"HILL, G. W.‎

‎On the Part of the Motion of Lunar Perigee Which is a Function of the Mean Motions of the Sum and Moon. - [THE HILL DETERMINANT]‎

‎Berlin, Stockholm, Paris, Beijer, 1886. 4to. Bound with the original printed wrappers in contemporary half calf. In ""Acta Mathematica Hrsg. von G. Mittag-Leffler."", Bd. 8. Entires issue offered. Fine and clean. Pp. 1-36 [Entire volume: (4), 392 pp.].‎

‎Second printing (with some additions) of Hill's important paper in he introduced the the Hill Determinant or Hill's Equations""The memoir of 1877 entitled On the Part of the Motion of the Lunar Perigee Which Is a Function of the Mean Motions of the Sun and Moon contains the incontrovertible evidence of Hill’s mathematical genius. He was led to a differential equation, now called Hill’s equation, that is equivalent to an infinite number of algebraic linear equations. Hill showed how to develop the infianite determinant corresponding to these equations.""‎

Bookseller reference : 50827

‎"HINDENBURG, CARL FRIEDRICH.‎

‎Novi systematis permutationum combinationum ac variationum primae lineae et logisticae serierum formulis analytico-combinatoriis per tabulas exhibendae conspectus et specimina. - [""FOUNDER OF THE COMBINATORIAL SCHOOL IN GERMANY""]‎

‎Leipzig, S. L. Crusium, 1781. 4to. Bound uncut in a nice recent cardboard-binding with red leather title-label to spine with gilt lettering. Title-page partly detached. Occassional brownspotting throughout. XII, LXXXIII, (1) pp.‎

‎Rare first edition of Hindenburg's paper on combinatorics, which partly earned him the title as ""founder of the combinatorial school"" (DSB) in Germany. Combinational mathematics was not new at that time: Pascal, Leibniz, Wallis, the Bernoullis, De Moivre, and Euler, among others, had contributed to it. Hindenburg and his school attempted, through systematic development of combinatorials, to give it a key position within the various mathematical disciplines. ""Combinatorial consideration, especially appropriate symbols, were useful in the calculations of probabilities, in the development of series, in the inversion series, and in the development of formulas for higher differentials. The utility led Hindenburg and his school to entertain great expectations: they wanted combinatorial operations to have the same importance as those of arithmetic, algebra, and analysis. They developed a complicated system of symbols for fundamental combinatorial concepts, such as permutations, variations, and combinations."" (DSB)‎

Bookseller reference : 59015

‎"HINTIKKA, JAAKKO.‎

‎Knowledge and Belief. An Introduction to the Logic of the two Notions. - [FOUNDING CONTEMPORARY EPISTEMIC LOGIC]‎

‎Ithaca, New York, Cornell University Press, (1962). 8vo. Orig. full blue cloth w. blue lettering to spine and front board. Very minor bumping to capitals and minor bleaching to small part of lower spine. Original blue dust-jacket w. red lettering. Spine faded and some minor brownspotting. Stamp to title-page ( Weston College Library Weston, Mass.) and stamped library-number and date to verso of title-page. An excellent, internally near mint, copy in an unusually fine dust-jacket. Not price-clipped. X, 179 pp.‎

‎The uncommon first edition, first issue of Hintikka's seminal main work, which also constitutes the main work of contemporary epistemic logic.The Finnish born philosopher and logician, Jaakko Hintikka (born 1929), Professor of Philosophy at the University of Boston, is generally accepted as the founder of formal epistemic logic and of game semantics for logic. He has contributed seminally to the fields of philosophical and mathematical logic, philosophy of mathematics and science, language theory and epistemology. Independently of Evert Willem Beth he discovered the semantic tableau, and he is famous for his work on game semantics and logical quantifiers. In 2005 Hintakka was awarded the Schock Prize in logic and philosophy, the philosophical equivalent to the Nobel prize, ""for his pioneering contributions to the logical analysis of modal concepts, IN PARTICULAR THE CONCEPTS OF KNOWLEDGE AND BELIEF "". The first edition of this seminal work, which has founded contemporary epistemic logic, is very difficult to find. The work was reprinted three times between 1962 and 1969, but after that the work was only printed again in 2005.""In 1962 Jaakko Hintikka published ""Knowledge and Belief: An Introduction to the Logic of the Two Notions"" with Cornell University Press. Almost every paper or a book on epistemic and doxastic logic that has appeared since then has referred to this seminal work. Although many philosophers working in logic, epistemology, game-theory, economics, computer science and linguistics mention the book, it is very likely that most have never literally had their hands on it, much less owned a copy. After a fourth printing in 1969, Knowledge and Belief went out of print and as many of us have found to our dismay, it has become increasingly difficult to find used copies at our local shops or online. It is our pleasure to provide the interdisciplinary community with this reprint edition of Knowledge and Belief."" (Abstract of the re-issue edition, Prepared by Vincent F. Hendricks & John Symons, King's College Publications, 2005).In this breakthrough work, Hintikka sets out to understand and explain the logical behavior of the two fundamental epistemological notions, Knowledge and belief. ""The word ""logic"" which occurs in the subtitle of this work is to be taken seriously. My first aim is to formulate and to defend explicit criteria of consistency for certain sets of statements - criteria which, it is hoped, will be comparable with the criteria of consistency studied in the established branches of logic. What the statements in question are like is also indicated in the title [...]"" (Chapter One, Prolegomena, p.3).""Knowledge and Belief"" has been extremely influential from the time of its appearance and continues to be so to this day, also due to the fact that epistemic logic has greatly influenced the fields of game theory, artificial intelligence and distributed computing.‎

Bookseller reference : 36630

‎"HINTIKKA, JAAKKO.‎

‎Knowledge and Belief. An Introduction to the Logic of the two Notions.‎

‎Ithaca, New York, Cornell University Press, (1964). 8vo. Orig. full blue cloth w. blue lettering to spine and front board. Original blue dust-jacket w. red lettering. An excellent, near mint copy in an astonishingly fine dust-jacket, not price-clipped. Old owner's name to front free end-paper. Internally very nice and clean. A very good copy. X, 179 pp.‎

‎First edition, second printing of Hintikka's seminal main work, which also constitutes the main work of contemporary epistemic logic.The Finnish born philosopher and logician, Jaakko Hintikka (born 1929), Professor of Philosophy at the University of Boston, is generally accepted as the founder of formal epistemic logic and of game semantics for logic. He has contributed seminally to the fields of philosophical and mathematical logic, philosophy of mathematics and science, language theory and epistemology. Independently of Evert Willem Beth he discovered the semantic tableau, and he is famous for his work on game semantics and logical quantifiers. In 2005 Hintakka was awarded the Schock Prize in logic and philosophy, the philosophical equivalent to the Nobel prize, ""for his pioneering contributions to the logical analysis of modal concepts, IN PARTICULAR THE CONCEPTS OF KNOWLEDGE AND BELIEF "". The first edition of this seminal work, which has founded contemporary epistemic logic, appeared in 1962 and is very difficult to find. The work was reprinted three times between 1962 and 1969, but after that the work was only printed again in 2005. The second issue appeared in 1964 and the third in 1967.""In 1962 Jaakko Hintikka published ""Knowledge and Belief: An Introduction to the Logic of the Two Notions"" with Cornell University Press. Almost every paper or a book on epistemic and doxastic logic that has appeared since then has referred to this seminal work. Although many philosophers working in logic, epistemology, game-theory, economics, computer science and linguistics mention the book, it is very likely that most have never literally had their hands on it, much less owned a copy. After a fourth printing in 1969, Knowledge and Belief went out of print and as many of us have found to our dismay, it has become increasingly difficult to find used copies at our local shops or online. It is our pleasure to provide the interdisciplinary community with this reprint edition of Knowledge and Belief."" (Abstract of the re-issue edition, Prepared by Vincent F. Hendricks & John Symons, King's College Publications, 2005).In this breakthrough work, Hintikka sets out to understand and explain the logical behavior of the two fundamental epistemological notions, Knowledge and belief. ""The word ""logic"" which occurs in the subtitle of this work is to be taken seriously. My first aim is to formulate and to defend explicit criteria of consistency for certain sets of statements - criteria which, it is hoped, will be comparable with the criteria of consistency studied in the established branches of logic. What the statements in question are like is also indicated in the title [...]"" (Chapter One, Prolegomena, p.3).""Knowledge and Belief"" has been extremely influential from the time of its appearance and continues to be so to this day, also due to the fact that epistemic logic has greatly influenced the fields of game theory, artificial intelligence and distributed computing.‎

Bookseller reference : 36632

‎"HINTIKKA, JAAKKO.‎

‎Knowledge and Belief. An Introduction to the Logic of the two Notions. - [FOUNDING CONTEMPORARY EPISTEMIC LOGIC]‎

‎Ithaca, New York, Cornell University Press, (1962). 8vo. Orig. full blue cloth w. blue lettering to spine and front board. Very minor bumping to capitals and minor bleaching to small part of lower spine. Original blue dust-jacket w. red lettering. Spine faded and some minor brownspotting. Stamp to title-page ( Weston College Library Weston, Mass.) and stamped library-number and date to verso of title-page. An excellent, internally near mint, copy in an unusually fine dust-jacket. Not price-clipped. X, 179 pp.‎

‎"HINTIKKA, JAAKKO.‎

‎Knowledge and Belief. An Introduction to the Logic of the two Notions.‎

‎Ithaca, New York, Cornell University Press, (1964). 8vo. Orig. full blue cloth w. blue lettering to spine and front board. Original blue dust-jacket w. red lettering. An excellent, near mint copy in an astonishingly fine dust-jacket, not price-clipped. Old owner's name to front free end-paper. Internally very nice and clean. A very good copy. X, 179 pp.‎

‎"HODGE, W. V. D.‎

‎Harmonic Integrals Associated with Algebraic Varieties [Received 9 February, 1934. - Read 15 February, 1934.] [In: Proceedings of the London Mathematical Society. Second Series. Volume 39]. - [""ONE OF THE LANDMARKS OF TWENTIETH CENTURY MATHEMATICS""]‎

‎London, Hodgson & Son, 1935. Royal 8vo. Volume 39 + 40 of ""Proceedings of the London Mathematical Society. Second Series"" bound together in a very nice contemporary blue full cloth binding with gilt lettering and gilt ex-libris (""Belford College. Univ. London"") to spine. Minor bumping to extremities. Binding tight, and in excellent, very nice, clean, and fresh condition, in- as well as ex-ternally. Small circle-stamp to pasted-down front free end-papers and to title-page (""Bedford College for Women""). Discreet library-markings to upper margin of pasted-down front free end-papers. [Vol. 39:] pp. 249-271. [Entire volume: (Vol. 39:) (4), 546 pp. + (Vol. 40:) (4), 558 pp].‎

‎First publication of Hodge's seminal work on harmonic integrals.In the article Hodge showed that most of the elementary properties of harmonic functions could be extended to harmonic functional.""Hodge is famous for his theory of harmonic integrals (or forms), which was described by Weyl as ""one of the landmarks of twentieth century mathematics."" [...] Hodge's work straddles the area between algebraic geometry, differential geometry, and complex analysis. It can be seen as a natural outgrowth of the theory of Riemann surfaces and the work of Lefschetz on the topology of algebraic varieties. It put the algebraic geometry on a modern analytic footing and prepared the ground for the spectacular breakthroughs of the postwar period of the 1950s and 1960s."" (Gowers, The Princeton Companion to Mathematics, 2008).Hodge himself states in the introduction to the present work: ""In two papers I have defined integrals, which I have called harmonic integrals, which are associated with an analytic variety to which a metric is attached, and have established an existence theorem for them. More recently I have applied the theory of these integrals to the Riemannian manifold of an algebraic surface with the topological invariants of the Manifold. There is reason to believe that this method of considering the Abelian integrals attached to an algebraic variety will prove a powerful one, and I have thought it advisable to set out in the following pages an account of the principles on which the method is based."" In 1941 Hodge published the book ""The theory and applications of harmonic integrals"" which expanded and elaborated the ideas presented in the present article.‎

Bookseller reference : 42640

‎"HOEM, JAN (+) NIELS KEIDING.‎

‎Stochastic stable population theory with continuous time. I.‎

‎[No place], (Almqvist & Wiksell), 1976. 8vo. In the original printed wrappers. Offprint from: ""Scandinavian Actuarial Journal "", 1976. Very fine and clean, near mint. Pp. 150-75.‎

‎Offprint of Norwegian actuarial scientist and statistician Jan Hoem's important paper on stochastic stable population theory. Hoem is best known for his work on event-history analysis - contributions that have helped shape demographic methodology.‎

Bookseller reference : 48861