‎Mathématiques‎

‎BIEBERBACH, LUDWIG.‎

‎Vorlesungen über Algebra. Unter Benutzung der dritten Auflage des gleichnamigen Werkes von Gustav Bauer. In vierter Vermehrte Auflage. 16 Figuren im Text und auf 1 Tafel.‎

‎Leipzig, B.G. Teubner, Orig. full buckram. X,334 pp. Name cut from lower right of titlepage, no loss of text. Internally clean and fine.‎

书商的参考编号 : 48428

‎COURANT, R.‎

‎Vorlesungen über Differential- und Integralrechnung. 2 Bde. (1. Funktionen einer Veränderlichen. Zweite, verb. Aufl. - 2. Funktionen mehrerer Veränderlichen. Zweite verb.Aufl.)‎

‎Berlin, J. Springer, 1930-31. 2 orig. full cloth. Gilt. XIV,410,VIII,412 pp. textfigs. Clean and fine.‎

书商的参考编号 : 48431

‎BIEBERBACH, LUDWIG.‎

‎Theorie der Differentialgleichungen. Zweite neubearbeitete Auflage. Mit 22 Abbildungen.‎

‎Berlin, Springer, 1926. Orig. full cloth. IX,345,(2) pp. Clean and fine.‎

书商的参考编号 : 48434

‎GENOCCHI, ANGELO. (= GIUSEPPE PEANO).‎

‎Differentialrechnung und Grundzüge der Integralrechnung. Herausgegeben von Giuseppe Peano. Autorisierte Deutsche Übersetzung von G. Bohlmann und A. Schepp. Mit einem Vorwort von A. Mayer.‎

‎Leipzig, B.G. Teubner, 1899. Wrappers blank. Old owners name on titlepage. VII,308 pp.‎

‎First German edition of Peano's first major publication, his first book, the work that brought him international fame, and one of the most important calculus texts since the time of Euler and Cauchy.The present book, which has a somewhat strange history, is considered a constitutional work of the science of infinitesimal calculus.‎

书商的参考编号 : 48466

‎BLASCHKE, WILHELM.‎

‎Analytische Geometrie. Zweite Auflage.‎

‎Basel/Stuttgart, Birkhäuser, 1954. Lex8vo. Orig. full cloth. Name on titlepage. 190 pp. Internally fine and clean.‎

书商的参考编号 : 48480

‎"BOLLÉE, LÉON. - THE INVENTION OF ""THE MILLIONAIRE CALCULATOR""‎

‎Sur une nouvelle machine à calculer.‎

‎(Paris, Gauthier-Villars, 1889). 4to. No wrappers. Disbound. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 109, No 20. Pp. (723-) 758 (entire issue offered). Bollée's paper: pp. 737-739. Disbound but clean.‎

‎First printing of the paper in which Bollée describes his invention of a new calculating machine, later called ""The Millionaire"", based on a multiplying mechanism which was capable of performing multiplication directly instead of using repeated addition. As it allows multiplication by any digit it was used by government agencies ans scientists, especially astronomers, well into the twentieths century.Bollée did not produced his machine comercially, ""... but in 1893 Otto Steiger of Munich patented a calculator based on Bollée's approach, which was manufactured between 1895 and 1935 by the firm Hans W. Egli of Switzerland and marketed under the name of ""Millionaire"".... Forty-six hundred ""Millionaires"" were sold, primarly in Europe."" (Hook & Norman ""Origins of Cyberspace"" : 288).‎

书商的参考编号 : 48744

‎"ELFVING, GUSTAV.‎

‎Convex Sets in Statistics.‎

‎Lund, Håkan Ohlssons,1953. 8vo. In the original grey printed wrappers. Offprint from ""Comptes Rendu du Douzième Congrès des Mathématiciens Scandinaves tenu à Lund 10-15 août 1953"". A very fine clean copy, near mint. Pp. (2), 35-39.‎

‎Scare offprint of Elfving's important paper on ""Elfving sets"". Elfving are famous for having introduced optimality theory of regression theory.‎

书商的参考编号 : 48791

‎"SHEWHART, W.A.‎

‎Correction of Data for Errors of Measurement. (+) Correction of Data for Errors of Averages. (2 papers).‎

‎New York, Bell Telephone Laboratories, 1926. Orig. printed wrappers to both papers. Both punched with three holes in inner margin as issued. Offprints from ""The Bell System Technical Journal"", Vol. V. The offprints separately paginated: 16 pp. and 12 pp. The first clean and fine, the second with light wear to wrappers.‎

‎First editions in the offprint issues of two of Shewhart's main papers that reveals the evolution of his thinking and methods on the way to founding the science of statistical quality control or statistical proces control.""Shewhart was concerned that statistical theory serve the needs of industry. He exhibited the restlessness of one looking for a better way. A man of science who patiently developed and tested his ideas and the ideas of others, he was an astute observer of developments in the world of science and technology. While the literature of the day discussed the stochastic nature of both biological and technical systems, and spoke of the possibility of applying statistical methodology to these systems, Shewhart actually showed how it was to be done"" in that respect, the field of quality control can claim a genuine pioneer in Shewhart. His monumental work, Economic Control of Quality of Manufactured Product, published in 1931, is regarded as a complete and thorough exposition of the basic principles of quality control"" (ASQ).‎

书商的参考编号 : 48799

‎CARTAN, È.‎

‎Leçons sur la géométrie des espaces de Riemann. Deuxieme edition, revue et augmentée.‎

‎Paris, Gauthier-Villars, 1946. 8vo. Uncut. frontwrapper lacks. Sewing a bit loose. Wrinkled.‎

书商的参考编号 : 48833

‎"HOTELLING, HAROLD.‎

‎Causes of Birth Rate Fluctuations.‎

‎[No place, no printer], 1931. 8vo. Without wrappers (as issued). Offprint from: ""Journal of the American Statistical Association"", June, 1931. Fine and clean. Pp. 135-149.‎

‎Scarce offprint of Hotelling's important paper on in which it for the first time is statistically demonstrated that a delayed dip in birthrates will occur with populations iwhen subjected to harvest failures or epidemics.‎

书商的参考编号 : 48847

‎"TUKEY, JOHN. (+) ET AL‎

‎Compactness in General Spaces (+)Generalized ""Sandwich"" Theorems (+) Named and Faceless Values: An Initial Exploration in Memory of Prasanta C. Mahalanobis (+) Some Sèlected Quick and Easy Methods of Statistical Analysis (+) Correlation of Ranges of c... - [LARGE COLLECTION OF OFFPRINTS]‎

‎[Various places and printer] ,1945 - 1974. Collection of 24 offprint from various academic journals. All with wrappers (or as issued) and in fine condition. Contained in a black kassett.‎

‎A large collection of offprint by American physicist John Tukey known for development of the FFT algorithm and box plot. Tukey's range test, the Tukey lambda distribution, Tukey's test of additivity and Tukey's lemma all bear his name.""John Tukey's whole life was one of public service, and as the preceding quotes make clear, he had profound influence. He was a member of the President's Scientific Advisory Committee for each of Presidents Eisenhower, Kennedy, and Johnson. He was special in many ways. He merged the scientific, governmental, technological, and industrial worlds more seamlessly than, perhaps, anyone else in the 1900s. His scientific knowledge, creativity, experience, calculating skills, and energy were prodigious. He was renowned for creating statistical concepts and words. JWT's graduate work was in mathematics, but driven by World War II, he left that field to go on to revolutionize the world of the analysis of data. At the end of the war he began a joint industrial-academic career at Bell Telephone Laboratories and at Princeton University. Science and the analysis of data were ubiquitous. This split career continued until he retired in 1985. Even after retirement his technical and scientific work continued at a very high level.He is said to have introduced the terms: ""bit"", ""linear programming"", ""ANOVA"", ""Colonel Blotto"", and was first into print with ""software"". Of these efforts L. Hogben and M. Cartwright wrote, ""The introduction by Tukey of bits for binary digits has nothing but irresponsible vulgarity to commend it."" Tukey's word ""polykay"" was described as ""linguistic miscegenation"" by Kendall and Stuart because of its combining a Greek prefix with a Latin suffix. JWT did it again later with ""polyspectrum"". (Brillinger, John Wilder Tukey).‎

书商的参考编号 : 48852

‎NEYMAN. JERZY (+) ET AL‎

‎Sur une famille de tests asympopiques des hypotheses statistiques composees (+) Philosophical anlysis of 'objective' probability in science (+) An optimistic model of the correlation between light and severe accidents (+) True or false contagion (+)... - [COLLECTION OF OFFPRINTS]‎

‎[Various places and printer], 1935 -1962. Collection of 17 offprint from various academic journals. All with wrappers (or as issued) and in fine condition. Contained in a black kassett.‎

‎Collection of Polish mathematician and statistician Jerzy Neyman famous for being the first to introduce the modern concept of a confidence interval into statistical hypothesis testing.‎

书商的参考编号 : 48855

‎"COX, DAVID ROXBEE (+) ET AL.‎

‎Some properties of multiserver queues with appointments (+) Regression models and life-tables (+) The continuity correction (+) Recent work on the design of experiments - a bibliography and a review (+) On distribution and their transformation to nor... - [LARGE COLLECTION OF OFFPRINTS]‎

‎[Various places and printers], 1962 - 1981. Collection of 36 offprint from various academic journals. All with wrappers (or as issued) and in fine condition. A few of them with ""Cox"" written to top of front wrapper. Housed in two black kasetts.‎

‎Large collection of offprints by British statistician David Cox who made pioneering and important contributions to numerous areas of statistics and applied probability, of which the best known is perhaps the proportional hazards model, which is widely used in the analysis of survival data. An example is survival times in medical research that can be related to information about the patients such as age, diet or exposure to certain chemical substances. The Cox process was named after him.‎

书商的参考编号 : 48857

‎"NEUMANN, JOHN von.‎

‎Einige Bemerkungen zur Diracschen Theorie des relativistischen Drehelektrons.‎

‎Berlin, Julius Springer, 1927. 8vo. Contemp. hcloth. Gilt lettering to spine. In: ""Zeitschrift für Physik"" Vol. 48. VIII,891 pp. (Entire volume offered). Neumann's paper: pp. 868-881. A stamp to titlepage. Clean.‎

‎First printing of a famous paper in which Neumann extends the relativistic wave equation of the electron set forth by Dirac earlier the same year and Neumann here gives the five fundamental covariants of the Dirac theory.""Von Neumann’s most famous work in theoretical physics is his axiomatization of quantum mechanics. When he began work in that field in 1927, the methods used by its founders were hard to formulate in precise mathematical terms"" ""operator"" on ""functions"" were handled without much consideration of their domain or definition to their topological properties: and it was blithely assumed that such ""operators,"" when self-adjoint, could always be ""diagonalized"" (as in th finite dimensional case), at the expense of introducing ""Dirac functions"" as ""eigenvectors."" Von Neumann showed that mathematical rigor could be restored by taking as basic axioms the assumptions that the states of a physical system were poinds of a Hilbert space and that the measurable quantities were Hermitian (generally unbounded) operators densely efined in that space.""(DSB).‎

书商的参考编号 : 48882

‎HAUGSTED, FRIDERICUS CHRISTIANUS.‎

‎Thymi in homine ac per seriem animalium descriptio anatomica-physiologicae‎

‎Hauniae [Copenhagen], 1831. 8vo. In the original printed boards. A few occassional brown spots, otherwise a fine copy. (6), 135, (1) pp + 3 folded plates.‎

‎First printing of Haugsted's early work on the thymus.‎

书商的参考编号 : 48887

‎"KARHUNEN, KARI.‎

‎Über die Struktur stationärer zufälliger Funktionen.‎

‎Stockholm, Almqvist & Wiksells Boktryckeri AB, 1949. 8vo. In the original printed wrappers. Offprint from: ""Arkiv för matemativ, Utgivet av Kungl. Svenska Vetenskapsakademien"", Band 1, Nr 13. Previous owner's name to top of front wrapper. Pp. 141-160.‎

‎Scace offprint of Karhunen's paper on the structure of stationary random functions. Karhunen is famous for the Karhunen-Loève theorem and Karhunen-Loève transform.‎

书商的参考编号 : 48891

‎"HOEM, JAN.‎

‎On the Optimality of Modified Minimum Chi-Square Analytical Graduation.‎

‎(Copenhagen), 1976. 8vo. Without wrappers (as issued). Offprint from ""Scand. J. Statist 3"", 1977: 1-20. A very fine and clean copy. 20 pp.‎

‎Offprint of Hoem's paper on Chi-Square analytical graduation. Hoem is best known for his work on event-history analysis - contributions that have helped shape demographic methodology.‎

书商的参考编号 : 48893

‎"KRUSKAL, WILLIAM.‎

‎Helmert's Distribution.‎

‎[No place, no printer], 1946. 8vo. In the original printed wrappers. Offprint from: ""American Mathematical Monthly"", Vol. LIII, No. 8, 1946. A very fine and clean copy. Pp. 435-38.‎

‎Offprint of William Henry Kruskal first published paper. Kruskal, American mathematician and statistician, is famous for having formulated the Kruskal-Wallis one-way analysis of variance (together with W. Allen Wallis), a widely-used nonparametric statistical method.‎

书商的参考编号 : 48895

‎"HUMBERT, MARIE-GEORGES.‎

‎Sur les courbes algébriques planes rectifiables (+) Sur quelques propriétés des aires sphériques (+) Sur le théorème d'Abel et quelques-unes de ses applications a la geometrie (+) Sur une classe de courbes planes, et sur une surface remarquable du qua...‎

‎Paris, Gauthier-Villars, 1888-1890 4to. Bound with the front wrappers in contemporary half cloth. In ""Journal de Mathématiques pures et appliquées"". With two paper labels to spine and with the author's name to top of each wrapper. A stamp to front free end paper and first wrapper. Otherwise fine.‎

‎First appearance of this collection of important papers which, amongst others, contains the questions to whether the involutes are algebraic.""Besides his two pedagogical works, it was through numerous memoirs (approximately 150, which have been collected) that Humbert held a major place in the mathematical discovery and production of his time. His writings were inspired by his interest in the study of algebraic curves and surfaces and were marked by the lucidity with which he related the problems biography in encountered in this area to questions of analysis and number theory.He thus enriched analysis and gave the complete solution of the two great questions of the transformation of hyperelliptic functions and of their complex multiplication. He also pointed out the resulting consequence: the existence of a group of transformations of certain surfaces into themselves constitutes an essential difference between the geometry of surfaces and that of curves. But, most important, he completed the work of Hermite by pursuing the applications to number theory throughout his life.""The present volume also contain contribution by Caspary and Hilbert.‎

书商的参考编号 : 49018

‎"JACOBI, C. G. J.‎

‎Ueber die integration der partiellen differentialgleichungen erster ordnung.‎

‎Berlin, G. Reimer, 1832. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1832, band 8"". Without backstrip. Fine and clean. Pp. 317-329 [Entire extract: Pp. 307-346 ].‎

‎First appearance of Jacobi's paper on the integration of partial differential equations of first order.""Most of Jacobi's fundamental research articles in the theory of elliptic functions, mathematical analysis, number theory, geometry, and me-chanics were published in Crelle's Journal fue die reine and angewandte Mathematik. With an average of three articles per volume, Jacobi was one of its most active contributors and quickly helped to establish its international fame. Yet his tireless occupation with research did not impair his teaching. On the contrary- never satisfied to lecture along trodden paths, Jacobi presented the substance of his own investigations to his students. He would lecture up to eight or ten hours a week on his favorite subject, the theory of elliptic functions, thus demanding the utmost from his listeners. He also inaugurated what was then a complete novelty in mathematics-research seminars-assembling the more advanced students and attracting his nearest colleagues."" (DSB).‎

书商的参考编号 : 49049

‎"LIOUVILLE, JOSEPH. - THE EXISTANCE OF TRANSCENDENTAL NUMBERS PROVED.‎

‎Remarques... à des classes très-étendues de quantités dont la valeur n'est ni rationelle ni méme réductible à des irratonnelles algébriques... à un passage du livre des principes ou Newton... (Séance du Lundi 13 mai 1844). (+) Nouvelle démonstratio...‎

‎(Paris, Bachelier), 1844 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 18, No 20 a. 21. Pp. (883-) 898 a. pp. (899-) 960. (Entire issues offered). Liouville's papers: pp. 883-885 a. 910-911.‎

‎First printing of the papers in which Liouville proved the existence of transcendental numbers. ""J. Liouville..... invented a method (1844) for constructing any one of an extensive class of transcendental numbers. His numbers were the first to be proved transcendental" Hermite's proof of the transcendence of e ... followed in 1873" F. Lindemnn's for pi in 1882.""(Bell ""Development of Mathematics"", p. 275).Liouville showed that not only are these numbers irrational, they are always transcendental. Thus he was the first to prove the existence of transcendental numbers and also that there were an infinite number of them. Liouville suggested that e was transcendental, and provided the first example of a provably transcendental number, now known as Liouville’s constant.Parkinson ""Breakthroughs"", 1844 M.‎

书商的参考编号 : 49077

‎"GUDERMANN, CHRISTOPH.‎

‎Potential oder zyklisch-hyperbolische Funktionen I - II.‎

‎(Berlin, G. Reimer, 1832) 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 8. Band, 1832"", without backstrip. Fine and clean. pp. 64-116"" Pp. 194-212.‎

‎First printing of Gudermann extensive and important papers on hyperbolic functions. During 1830ies Gudermann focused his work on these functions and published extensive on the subject. It was later coined the Gudermannian function.The function was introduced by Johann Heinrich Lambert in the 1760s at the same time as the hyperbolic functions. He called it the ""transcendent angle,"" and it went by various names until 1862 when Cayley suggested it be given its current name as a tribute to Gudermann's work in the 1830ies on the theory of special functions. The present paper together with two later published papers were collected in Theorie der potenzial- oder cyklisch-hyperbolischen functionen (1833), a book which expounded sinh and cosh to a wide audience.The issue also contain a paper by the famous Norwegian mathematician Niels Henrik Abel.""Gudermann devoted much more attention to the theory of special functions. After the earlier works of Leonhard Euler, John Landen, and A. M. Legendre (Gauss's results were still in manuscript), Niels Abel's studies on elliptical functions, published mostly in A. L. Crelle's Journal für reine und angewandte Mathematik, represented an important divide in treating this area. In 1829 Carl Jacobi's book Fundamenta nova theoriae functionum ellipticarum was published. At the time Gudermann was one of the first mathematicians to expand on these results. Beginning with volume 6 (1830) of Crelle's Journal, he published a series of papers which he later summarized in two books: Theorie der Potenzialoder cyklisch-hyperbolischen Functionen (1833) and Theorie der Modular-Functionen und der Modular-Integrale (1844), which were to have had a sequel which was never written."" (DSB). Gudermann is known today for being the teacher of Karl Weierstrass, who took Gudermann's course in elliptic functions in 1839, the first to be taught in any institute. Weierstrass was greatly influenced by this course, which marked the direction of his own research.‎

书商的参考编号 : 49082

‎"CHURCH, ALONZO.‎

‎Norwood Russell Hanson. A note on the Gödel theorem (+) David Perlman. A milestone in math - professor's new concept (+) Benson Mates. Stoic Logic.‎

‎[No place], The Journal of Symbolic Logic, 1967. 8vo. In the original printed wrappers. In ""Journal of Symbolic Logic"", Vol. 28, Number 4. December, 1963. Entire issue offered. A very fine and clean copy. Pp. 295 [Entire issue: Pp. 273-346, VI. ].‎

‎First printing of three short reviews by Alonzo Church.‎

书商的参考编号 : 49084

‎"EULER, LEONHARD.‎

‎Exposition de quelques paradoxes dans le Calcul Intégral. (Explanation of certain paradoxes in integral calculus).‎

‎(Berlin, Haude et Spener, 1758). 4to. No wrappers as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"" Tome 12 (1756), pp. 300-321 a. 1 folded engraved plate.‎

‎First edition. Euler looks at singular integrals of differential equations (derivation through differentiation"" proof that these integrals are not included in the general solution.) Enestroem: 236. - Also with Euler le Fils: ""Des Cerfs - Volans"", pp. 322-364 a. 1 plate.‎

书商的参考编号 : 49129

‎"HUSSERL, EDMUND.‎

‎Formale und transzendentale Logik. Versuch einer Kritik der logischen Vernunft. Sonderabdruck aus: ""Jahrbuch für Philosophie und phänomenologische Forschung"", Bd. X. Herausgegeben von E. Husserl, Freiburg I. Br. - [THE FINAL CONCEPTION OF LOGIC]‎

‎Halle, Niemeyer, 1929. 4to. A bit later blue full fabrikoid binding. Gilt lettering to spine. Clean and fresh copy. Old owner's signature to title-page. XI, (1), 298 pp.‎

‎First edition of Husserl's seminal work, which contains his philosophy of logic and mathematics. This important work entitled ""Formal and Transcendental Logic"" with the sub-title ""An Attempted Critique of the Logic Reason"" provides us with Husserl's final conception of logic. Though now famous as the father of phenomenology, Husserl was initially a student of mathematics, and in his two first works ""Über den Begriff der Zahl"" and ""Philosophie der Aritmetik"", his early philosophy is developed on the basis of mathematics with the aim to provide a sound foundation for mathematics by combining it with philosophy and psychology. His main work from 1900-1901, Logische Untersuchungen"", probably one of the two most important and influential philosophical works of the 20th century, Husserl establishes a philosophy that asks the question of the essence of the matter of perception as opposed to the form of perception, as well as the meaning of the difference between formal or pure and material laws, truths and determinations, -all based on his strong interest in the relationship between the formalities of arithmetic and of logic.However, it is in his ""Formal and Transcendental Logic"" that Husserl most thoroughly introduces us to the formal character of logic and formulates his final conception of it. According to Husserl, logic is formal, because it is nothing more than the development of pure reason, and pure reason is a formal concept. As such, logic for Husserl becomes the self-interpretation of pure reason (die Selbstauslegung der reinen Vernunft) which is, again, a formal activity. Husserl also determines that there are two formal ways of conceiving logic, one being a tool for judging sentences true or false, and another, which includes knowledge.And so, this work not only provides us with a genetic-phenomenological investigation of philosophy and of the basis of logic, but it also provides us with an insight into the entire inner systematic structure of late Husserlian thought.‎

书商的参考编号 : 49150