History of mathematics Books
Birkhauser Verlag AG Commentationes astronomicae ad praecessionem et
Book Synopsis
£129.99
Birkhauser Verlag AG Commentationes mechanicae et astronomicae ad
Book SynopsisThis volume concludes the second series of Leonhard Euler's Opera Omnia. It contains Euler's contributions to cosmic physics. Most substantial is the Essay on the Tide, which shared the prize awarded by the Paris Academy of Science in 1740. Other topics are the constitution of the atmosphere, ocean currents and winds, comets, the resistance of the aether, the lunar atmosphere, and the shape of the earth. The papers collected in this volume span a period from 1727 to 1775. They show Euler's lasting interest in questions of cosmic physics.
£129.99
Birkhauser Verlag AG Commentationes opticae 1
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£129.99
Birkhauser Verlag AG Lettres a une princesse d'Allemagne 1st part
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£129.99
Birkhauser Verlag AG Commentationes astronomicae ad theoriam
Book SynopsisDer Band enthält einen Teil der Abhandlungen Eulers zur Störungstheorie. Er ist der zweite von drei diesem Thema gewidmeten Bänden. Gegenstand der Untersuchungen ist die Beschreibung der Bewegung eines Himmelskörpers um ein Zentralgestirn unter Berücksichtigung der von weiteren Himmelskörpern auf ihn wirkenden Gravitationskräfte. Als Beispiel sei die gravitative Wirkung der Venus auf die Erdbahn erwähnt.Von grosser praktischer Bedeutung, insbesondere für die Navigation auf See, war die Untersuchung des Einflusses der Sonne auf die Mondbewegung. Mit diesem Thema beschäftigte Euler sich zeit seines Lebens.Trade Review“... In den Band 2 dieses Werkes wurden Kommentare zu 18 Schriften Eulers sowie deutschsprachige Paraphrasierungen der lateinischen bzw. französischsprachigen Texte integriert. ... Wie in den neueren Bänden der Euler-Ausgabe üblich, wird auch in diesem Band ein sehr hohes Niveau hinsichtlich der Editionstechnik zugrunde gelegt. ... Die in der Series 2 der Opera Omnia noch fehlenden Abhandlungen Eulers zur Störungstheorie waren eine sehr empfindliche Lücke, die zu schließen mit dem vorliegenden Band XXVI begonnen wurde ...” (Karin Reich, in: Das Achtzehnte Jahrhundert, Jg. 44, Heft 2, 2020)Table of ContentsVorwort.- Editionstechnische Hinweise.- Kommentare zu den Abhandlungen.- Index.- Abhandlungen Eulers.- Abkürzungen.- In diesem Band zitierte Abhandlungen Eulers.- Bibliographie.- Index nominum.
£153.00
Birkhauser Verlag AG Commentationes astronomicae ad theoriam
Book SynopsisDer Band enthält einen Teil der Abhandlungen Eulers zur Störungstheorie. Er ist der letzte von drei diesem Thema gewidmeten Bänden. Gegenstand der Untersuchungen ist das Dreikörperproblem, das heisst die Beschreibung der Bewegung eines Himmelskörpers um ein Zentralgestirn unter Berücksichtigung der Störung durch einen weiteren Himmelskörper.Dieses Problem behandelt Euler in einigen der vorliegenden Abhandlungen nicht nur für Massenpunkte, sondern erstmals auch für ausgedehnte Himmelskörper. Die so verallgemeinerte Himmelsmechanik, die er als „mechanische Astronomie“ bezeichnete, prägte er massgebend. Dazu gehört unter anderem auch das Rotationsverhalten von Himmelskörpern unter dem Einfluss äusserer Gravitationskräfte, das er mit seinen berühmten Bewegungsgleichungen der Starrkörperrotation erfolgreich zu beschreiben vermochte.Table of ContentsVorwort.- Eulers Schriften zur Störungstheorie.- Editionstechnische Hinweise.- Kommentare zu den Abhandlungen.- Index.- Abhandlungen Eulers.- Abkürzungen.- In diesem Band zitierte Schriften Eulers.- Bibliographie.- Index nominum.
£199.99
Birkhauser Verlag AG Die Werke von Jakob Bernoulli: Bd. 2:
Book SynopsisCorrection to the text about C.S. Roero printed on the inside front cover page: Clara Silvia Roero began her research with Tullio Viola, full Professor of Analysis at Turin University. From 1987 to 2000 she was associate professor of Matematiche Complementari and of History of Mathematics at the University of Cagliari (1987-1990) and at the University of Turin (1990-2000). From 2000 she is full professor of History of Mathematics at Turin University, Faculty of Mathematical and Physical Sciences. She is currently President of the Italian Society of History of Mathematics (Società Italiana di Storia delle Matematiche). She is author of several articles and books on the history of mathematics from antiquity to 20th century, in particular on the history of the Leibnizian Calculus; and she is a member of the editorial board of the Bollettino di Storia delle Scienze Matematiche.
£116.99
Birkhauser Verlag AG Der Briefwechsel von Johann I Bernoulli: Band 3
Book Synopsis Introduction.- Analyse et mécanique. Quelques questions abordées dans la correspondance.- Synopsis.- Briefe Lettres.- Bibliographie.Table of Contents— Introduction.- Analyse et mécanique. Quelques questions abordées dans la correspondance.- Synopsis.- Briefe — Lettres.- Bibliographie.
£109.80
Birkhauser Verlag AG The Apprenticeship of a Mathematician
Book SynopsisFrom reviews: "Extremely readable... rare testimony of a period of the history of 20th century mathematics. Includes very interesting recollections on the author's participation in the formation of the Bourbaki Group, tells of his meetings and conversations with leading mathematicians, reflects his views on mathematics. The book describes an extraordinary career of an exceptional man and mathematicians. Strongly recommended to specialists as well as to the general public." --EMS Newsletter (1992)Table of ContentsI Growing Up.- II At the Ecole Normale.- III First Journeys, First Writings.- IV India.- V Strasbourg and Bourbaki.- VI The War and I: A Comic Opera in Six Acts.- Prelude.- Finnish Fugue.- Arctic Intermezzo.- Under Lock and Key.- Serving the Colors.- A Farewell to Arms.- VII The Americas; Epilogue.- Index of Names.
£94.99
Birkhauser Verlag AG Die Werke von Daniel Bernoulli: Band 8:
Book SynopsisThis second volume on technology is mainly devoted to three prize-winning memoirs, answering questions related to ship-building which were proposed by the French Académie Royale des Sciences in the years 1737, 1755, and 1757. The volume hosts two further items: a popularizing text on astronomy from 1723, and the theory of the spiral pump, a technical item from 1772. In the introductory part of the volume every memoir is analysed and extensively summarized, so the reader should obtain a clear view of the content in modern terms.Table of ContentsGeneral Introduction.- Introductions to the contained original works.- Discours lû dans l'Assemblée.- Réfléxions sur la meilleure figure a donner aux Ancres....- Recherches sur la maniere la plus avantageuse....- Principes Hydrostatiques et Méchaniques....- Expositio theoretica singularis machinae hydraulicae tiguri Helvetiorum exstructae
£116.99
Birkhauser Verlag AG Leonhard Euler
Book SynopsisEuler was not only by far the most productive mathematician in the history of mankind, but also one of the greatest scholars of all time. He attained, like only a few scholars, a degree of popularity and fame which may well be compared with that of Galilei, Newton, or Einstein. Moreover he was a cosmopolitan in the truest sense of the word; he lived during his first twenty years in Basel, was active altogether for more than thirty years in Petersburg and for a quarter of a century in Berlin. Leonhard Euler’s unusually rich life and broadly diversified activity in the immediate vicinity of important personalities which have made history, may well justify an exposition. This book is based in part on unpublished sources and comes right out of the current research on Euler. It is entirely free of formulae as it has been written for a broad audience with interests in the history of culture and science.Trade ReviewThis is the only biography of Leonhard Euler currently available in English, and it would be worth having for that reason alone. (...) The book is a good introductory biography of Euler, and it is handsomely produced, with nice paper and lots of illustrations. It is a welcome addition to the literature on Euler. Fellmann has chosen to make this a non-technical biography. There are no mathematical details and no formulas. Short accounts of Euler's work are included, but few details are given. Even then, the sections that go into Euler's work are marked with asterisks so that readers who are not willing to delve into specifics can skip them. With non-technical readers in mind, Fellmann privileges those aspects of Euler's work that are more accessible, so his music theory gets much more attention than his work on elliptic integrals and his lunar theory and optics more than the geometry or number theory. —MAA ReviewsTable of ContentsBasel 1707–1727.- The first Petersburg period 1727–1741.- The Berlin period 1741–1766.- The second Petersburg period 1766–1783.- Epilogue.
£42.74
Birkhauser Verlag AG Leonhard Euler: Ein Mann, mit dem man rechnen
Book SynopsisIn seinem Kopf stellte er die mathematische Welt auf den Kopf. Er berechnete Flüssigkeitsströmungen, das Trägheitsmoment, entwickelte die Variationsrechnung und die moderne Zahlentheorie. Als Wissenschaftler steht er auf einer Stufe mit Newton und Einstein. Konstrukteure in aller Welt arbeiten tagtäglich mit seinen Formeln – egal ob es um den Schiffsrumpf der "Alinghi" geht oder um die Schwingungen des "Viaduc de Millau", der Welt höchster Autobahnbrücke. Dabei war er ein Mensch, der bürgerliche Behaglichkeit und Ruhe liebte. Nicht ganz einfach zur Gründungszeit von St. Petersburg inmitten russischer Kaisermorde oder im Berlin zur Zeit der schlesischen Kriege. Und erst recht nicht inmitten einer grossen Kinderschar. Der Comic von Elena Pini (Graphik) und Alice und Andreas K. Heyne (Text) zeichnet das Leben des genialen Baslers nach, der vor 300 Jahren geboren wurde, mit zwanzig Jahren seine Heimatstadt verliess – und nie wieder zurückkehrte.Trade ReviewWie ein Film läuft das Leben Leonhard Eulers vor uns ab, witzig, aber faktentreu, mit Schwenks über die Schauplätze Riehen, St. Petersburg, Berlin. Von trockenen Formeln bleiben wir verschont, dafür sorgt die Turbulente Zeitgeschichte umso mehr für eine packende Story. (ProgrammZeitung) Die Zeichnungen sind prägnant, die Texte skurril, das Gesamtwerk fesselnd und unterhaltsam - sofern man sich ein wenig für das Leben des Protagonisten interessiert. Wer diese Voraussetzung mitbringt, bekommt ein leicht verdauliches Stückchen Wissenschaftsgeschichte serviert, eine Mathematiker-Biografie durch die Hintertür sozusagen. (...) Leonhard Euler, dem kinderreichen Kindskopf mit dem glasklarem Verstand, setzt dieser gelungene Comic pünktlich zu seinem runden Geburtstag ein Denkmal, das nicht nur Mathematiker zum Schmunzeln bringen dürfte. (www.dradio.de) Ein besonderer Reiz des Comics liegt darin, dass er diesen Lebensweg in die politische Geschichte Europas einbettet. Am originellsten und witzigsten sind die bissigen und treffenden Porträts der Herrschenden, allen voran ein reichlich unsympathischer Friedrich der Große, der vorwiegend mit den Schlesischen Kriegen beschäftigt ist. (…) Daneben ist der Comic randvoll mit Anspielungen auf Eulers Werk und die zeitgenössischen wissenschaftlichen Debatten: Gleicht die Erdform eher einem Kürbis oder einer Zitrone? Hatte nun Newton oder Leibniz zuerst die Infinitesimalrechnung erfunden? (…) Das alles ist fast immer sorgfältig recherchiert, gut ausgewählt und erfreut die Insider, bleibt aber für weniger Eingeweihte vielleicht etwas unverständlich. (…) Insgesamt liegt ein durchaus gelungener und kurzweiliger Comic vor, der weniger wissenschaftliche Inhalte transportiert. dafür aber umso mehr über den Kontext verrät, in dem diese produziert werden. Man sollte ihn zugleich als Aufforderung verstehen, sich in der Wissenschaftsgeschichte öfter dieses unkonventionellen Mediums zu bedienen. (Spektrum der Wissenschaft)
£23.74
Birkhauser Verlag AG Leonhard Euler: A Man to Be Reckoned With
Book SynopsisHis ideas turned the mathematical world on its head. As a scientist he should be placed on the same level as Newton and Einstein. This account of Euler's life and livings is embedded in the great political developments of his time, particularly in Austria, Prussia and Russia. The comic by Elena Pini (illustrations) and Alice and Andreas K. Heyne (text) follows the life of the genius from Basel, who, born 300 years ago, would set out to change the scientific world. The book is completed by a short biography of Euler and relevant data of the most important politicians and contemporaries.Trade ReviewFrom the reviews:“This is the wittiest biography of Euler I have ever read. The two authors of the text and the artist are extremely well acquainted with all aspects of Euler’s life. … It is the ideal gift for a mathematician and all those who like mathematics and are able to smile about the amiable human weaknesses of a mathematician.” (Eberhard Knobloch, Zentralblatt MATH, Vol. 1179, 2010)“The authors and illustrator describe the most important moments from Euler’s live in Switzerland, Russia and Germany. They show his significant discoveries in fields as divers as analysis, algebra, geometry, topology, mechanics, optics, astronomy, geography etc. The book written like a modern comics is a remarkable and easily readable story and can be recommended to children, students and their teachers to attract their interest to mathematics and scientific research.” (Martina Bečvářová, Mathematica Bohemica, Issue 2, 2010)“This interesting and delightfully illustrated comic book describes and depicts the life of the mathematical genius, Leonhard Euler, in celebration of the 300th anniversary of his birthday. … The book is recommended for general, light reading, and is especially suitable for a school library … . for the scholar of the history of mathematics, or a mathematics student interested in some historical background, it will be a useful starting point.” (Michael de Villiers, The Mathematical Gazette, Vol. 94 (531), November, 2010)Table of ContentsLeonhard Euler - most important facts.- A Man to be Reckoned With.- Biography.- Politicians.- Contemporaries.
£14.50
Birkhauser Verlag AG Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics
Book Synopsis"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century." --Bulletin of Symbolic Logic (Review of first edition)Trade ReviewFrom the book reviews:“The book is a thorough, deep, fascinating work. It is not only recommended, it is compulsory for anyone interested in the history of mathematical ideas.” (László I. Szabó, Acta Scientiarum Mathematicarum (Szeged), Vol. 75 (1-2), 2009)Table of ContentsThe Emergence of Sets within Mathematics.- Institutional and Intellectual Contexts in German Mathematics, 1800–1870.- A New Fundamental Notion: Riemann’s Manifolds.- Dedekind and the Set-theoretical Approach to Algebra.- The Real Number System.- Origins of the Theory of Point-Sets.- Entering the Labyrinth-Toward Abstract Set Theory.- The Notion of Cardinality and the Continuum Hypothesis.- Sets and Maps as a Foundation for Mathematics.- The Transfinite Ordinals and Cantor’s Mature Theory.- In Search of an Axiom System.- Diffusion, Crisis, and Bifurcation: 1890 to 1914.- Logic and Type Theory in the Interwar Period.- Consolidation of Axiomatic Set Theory.
£64.59
Birkhauser Verlag AG Die Werke von Johann I und Nicolaus II Bernoulli:
Book SynopsisThis volume contains 17 mathematical works by Johann Bernoulli, written between 1680 – when he was only 13 years old and studied mathematics with his brother Jacob – and 1732, when he was 65 years old. Five of the works are handwritten manuscripts, and another three belong to the Anekdota, which he published in the fourth volume of his Opera Omnia. The book features also seven works by other authors: John Craig, Jacob Hermann, Gottfried Wilhelm Leibniz, and Ehrenfried Walther von Tschirnhaus. Another work included in this book was co-written by Johann Bernoulli and Samuel Klingenstjerna. The texts presented here are divided into two parts: the first consists of a substantial untitled paper (Ms. 27) that contains, in a sequence numbered by the author, 120 propositions on various subjects that Bernoulli explored over a very long period of time, namely from 1685 to the first decades of the 18th century. In turn, the second part is composed of a series of articles and manuscripts devoted to problems on the rectification and transformation of curves, on geodesics, and on spherical epicycloids. In addition to information on the rapid advances in mathematics during this period, the volume also shares fascinating insights into the connections between the mathematicians.Table of ContentsVorwort.- Zur Wiedergabe der Texte - Reproducing the Texts.- General Introduction.- Texts.- Indexes.
£149.99
Universitatsverlag Winter Mathematik Und Astronomie Im Klassischen Altertum
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£21.85
Taschen GmbH Der Geheime Code Die rtselhafte Formel die Kunst
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£14.25
Vince Inc Press, VIP Philosophy of Mathematics: 5 Questions
£24.00
Springer Verlag Le Geometrie della Visione: Scienza, Arte,
Book SynopsisPer la prima volta sono riuniti e didatticamente rielaborati a fondo in un manuale e in un CD i testi di base della geometria della visione. L'opera raccoglie i testi originali di Euclide (l'Ottica), Menelao (La Sferica), Alberti (De Pictura), Piero della Francesca (De Prospectiva Pingendi), che hanno dato origine al disegno prospettico rinascimentale e alla moderna geometria proiettiva. L'opera offre la possibilità di unire intuizione e ragionamento, costruendo un'immagine chiara dello sviluppo della matematica legata alla visione, dalle origini classiche, al rinascimento, alla moderna geometria proiettiva. Numerose schede e animazioni interattive facilitano l'intuizione degli argomenti, che sono comunque trattati con il massimo rigore e chiarezza, in una esposizione didatticamente molto efficace.Table of ContentsIntroduzione; Cap.I, Euclide: Dagli Elementi all'Ottica; Cap. II, La visione di oggetti uguali; Cap. III, La visione della profondità; Cap. IV, La prospettiva; Cap. V, Corrispondenze conformi e omotetie; Cap. VI, Piero della Francesca; Cap. VII, La geometria proiettiva; Appendice.
£31.34
Brill Un piccolo esempio . La psicagogia matematica di
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£112.10
Peeters Publishers Astronomy and Mathematics in Ancient India -
Book SynopsisAlready in 1786, Sir William Jones, founder of the Asiatick Society in Calcutta, wrote "What their astronomical and mathematical writings contain, will not, I trust, remain long a secret: they are easily procured, and their importance cannot be doubted". Nevertheless, though India is nowadays a part of our daily media environment, its science, as ancient as Greek science, is still badly known and insufficiently included in history of science manuals. This book aims at helping to fill this gap by letting some of the best specialists in Indian astronomy and mathematics express themselves. They recount the evolution of these sciences, from the Aryabhatiya (6th century) to the works of the Keralese astronomers-mathematicians (13th-14th centuries), via treatises on prosody (14th century) and on astrolabe making produced since the same period. These treatises are described in association with the oldest Sanskrit astrolabe, preserved in Belgium. En 1786 deja, Sir William Jones, fondateur de l'Asiatick Society a Calcutta, ecrivait "Pour leurs ecrits astonomiques et mathematiques, je suis sur que leur contenu ne restera pas longtemps un secret: ils sont aisement disponibles, et leur importance ne fait aucun doute". Et pourtant, alors que l'Inde fait aujourd'hui partie de notre environnement mediatique quotidien, sa science, qui est au moins aussi ancienne que la science grecque, est toujours mal connue et trop peu integree dans les ouvrages d'histoire des sciences. Ce livre veut contribuer a combler cette lacune en donnant la parole a certains des meilleurs specialistes de l'astronomie et des mathematiques indiennes. Ceux-ci retracent l'evolution de ces sciences, depuis l'Aryabhatiya (VIe siecle) jusqu'aux travaux des astronomes mathematiciens keralais (XIII-XVIe siecles), en passant par des traites de prosodie (XIVe siecle) et de fabrication d'astrolabes composes depuis la meme epoque. Ces derniers traites sont decrits en association avec le plus ancien astrolabe sanskrit, conserve en Belgique.
£45.96
Peeters Publishers Mathématiques et Métaphysique dans la pensée de
Book SynopsisLes mathématiques constituent pour Nicolas de Cues (1401-1464) une discipline intellectuelle clé. Elles sont d’une part la manifestation la plus nette et la plus parfaite de la fécondité de la raison qui s’exprime en elles comme dans sa forme symbolique essentielle, et d’autre part elles constituent la porte d’entrée vers la métaphysique. Celle devrait en toute logique s’appeler d’ailleurs métamathématique plutôt que métaphysique, terme qui ressortit davantage à la tradition aristotélicienne à laquelle Nicolas de Cues préférait manifestement une filiation pythagoricienne et platonicienne. Les études rassemblées dans ce volume abordent différentes thématiques liées à ces deux axes : conception de l’espace géométrique, méthodes mathématiques concrètes pour aborder le problème de la quadrature du cercle, statut du point, méthode des proportions, approche mathématique de l’Un, mathématiques et doctrine trinitaire, et bien d’autres thématiques sont ici abordées et traitées par une équipe de spécialistes.
£69.00
World Scientific Publishing Co Pte Ltd Wolf Prize In Mathematics, Volume 2
Book SynopsisThe Wolf Prize, awarded by the Wolf Foundation in Israel, often goes to mathematicians who are in their sixties or older. That is to say, the Prize honours the achievements of a lifetime.This invaluable book features bibliographies, important papers, and speeches (for example at international congresses) of Wolf Prize winners, such as R Bott, A P Calderón, A N Kolmogorov, M G Krein, P Lax, H Lewy, L Lovász, J Milnor, J Moser, I Piatetski-Shapiro, J P Serre, C L Siegel, Y Sinai, E M Stein, J Tits, A Weil, H Whitney, A Wiles and O Zariski. This is the first time that documents on Wolf Prize winners have been published together. Since the work of the Wolf laureates covers a wide spectrum, much of the mathematics of the twentieth century comes to life in this book.
£265.50
World Scientific Publishing Co Pte Ltd Russian Mathematicians In The 20th Century
Book SynopsisIn the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed “what to do” rather than “how to do it”. Thus, the book will be valued beyond historical documentation.The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians — such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein — and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincaré; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today.The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union.Table of ContentsLyapunov (A New Case of Integrability of Differential Equations of Motion of a Solid Body in Liquid); Luzin (Sur l'absolue convergence des series trigonometriques); Steklov; Egorov (Mathematics and Religion in Moscow, by C E Ford); Smirnov (Sur les polynomes orthogonaux a une veriable complexe); Bernstein (Sur la meilleure approximation sur tout l'axe reel des fonctions continues par des fonctions entieres de degre fini); Urysohn; Chebotaryov; Vinogradov (Representation of an Odd Number as the Sum of Three Primes); Aleksandrov (Sur la notion de dimension des ensembles fermes); Menshov; Gelfond (Sur le septierie probleme de Hilbert); Khinchin (Three Pearls of Number Theory); Kolmogorov (Local Structure of Turbulence in an Incompressible Viscous Fluid at Very Large Reynolds Numbers); Pontryagin (Homotopic Classification of an (n+2)-Dimensional Spheres into an n-Dimensional Spheres); Gelfand (On Identities for Eigenvalues of a Second Order Differential Operators); Sobolev (On a Theorem of Functional Analysis); Petrovsky (On Problem of some PDE's); Krein (On Extreme Points of Regularly Convex Sets); Liusternik (Topology and Variational Problem); Rokhlin (Proof of Gudkov's Hypothesis); Novikov (Periodic Groups); Bogoliubov (Mathematical Problems of Quantum Field Theory); Aleksandrov (Neue ungleichungen fur die mischvolumen konvexer korper); Kantorovich (A New Method of Solving of Some Classes of Extremal Problems); Malcev (Free Topological Algebras); Linnik (An Application of the Theory of Matrices and of Lobatschevskian Geometry to the Theory of Dirichlet's Real Characters); Markov (The Theory of Algorithms); Lavrentev (On the Theory of Quasi-Conformal Mapping of Three-Dimensional Domains); Tikhonov (Ueber die Erweiteung von Raumen); Delone (Sur le nombre de representations d'un nombre par une forme eubique a discriminent negatif); Keldysh (On the Completeness of the Eigenfunctions of Some Classes of Non-Self Adjoint Linear Operators); Faddeev; and other articles.
£202.50
World Scientific Publishing Co Pte Ltd In The Search For Beauty: Unravelling
Book SynopsisThis is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about the people, brilliant mathematicians starting from Pythagoras and Euclid and terminating with Gauss, Lobachevsky and Klein. For two thousand years, mathematicians tried to prove the fifth postulate (whose formulation seemed to them too complicated to be a real postulate and not a theorem, hence the title In the Search for Beauty). But in the 19th century, they realized that such proof was impossible, and this led to a revolution in mathematics and then in physics. The two final chapters are devoted to Einstein and his general relativity which revealed to us that the geometry of the world we live in is not Euclidean.Also included is an historical essay on Omar Khayyam, who was not only a poet, but also a brilliant astronomer and mathematician.
£33.25
World Scientific Publishing Co Pte Ltd Empty And The Full, The: Li Ye And The Way Of
Book SynopsisDuring Song (960 to 1279) and Yuan (1279 to 1368) dynasties, China experienced a peak in high-level algebraic investigation through the works of famous mathematicians such as Qin Jiushao, Zhu Shijie, Yang Hui and Li Ye. Among these is Li Ye's short treatise on a curious ancient geometrical procedure: The Development of Pieces of Areas According to the Collection Augmenting the Ancient Knowledge (Yigu yanduan). The aim of this monography is to contradict traditional scholarship which has long discredited the importance of Li Ye's treatise, considering it a mere popular handbook. The author aims to show that Li Ye's work actually epitomizes a completely new aspect of ancient Chinese mathematics: a crossroad between algebra, geometry, and combinatorics containing elements reminiscent of the Book of Changes (Yi Jing). As well as Li Ye used field measurement as pretext for investigations on quadratic equations and Changes, the present study uses Li Ye's small treatise as pretext for philosophical investigations on link between mathematics and their history. The real topic of the study is the exploration of another expression of proof and generality in Chinese mathematics. This book not only completes the edition of Li Ye's works and presents new features of Chinese mathematics, but also fills a gap in the translation of Chinese mathematics treatises.It is the first book entirely dedicated to the diagrammatic practice of algebra in the history of Chinese mathematics. This practice is more important than expected. While being a monograph, the book is short and detailed enough to be used by students in class. It can also be used as an entry door to the research field of history of Chinese mathematics.
£85.50
World Scientific Publishing Co Pte Ltd Art And Practice Of Mathematics, The: Interviews
Book SynopsisThis book constitutes the second volume of interviews with prominent mathematicians and mathematical scientists invited to the Institute for Mathematical Sciences, National University of Singapore. First published in the Institute's newsletter Imprints during the period 2010-2019, they offer glimpses of an esoteric universe as viewed and experienced by some of the world's most active and creative practitioners of the craft of mathematics.The topics covered in this volume are wide-ranging, running from pure mathematics (logic, number theory, algebraic geometry) to applied mathematics (mathematical modeling, fluid dynamics) through probability and statistics, mathematical physics, theoretical computer science and financial mathematics. This eclectic mix of the abstract and the concrete should interest those who are enthralled by the mystique and power of mathematics, whether they are students, researchers or the non-specialists.By briefly tracing the paths traveled by the pioneers of different national backgrounds, the interviews attempt to put a cultural face to an intellectual endeavor that is often perceived as dry and austere by the uninitiated. They should also interest those who are intrigued by the influence of the environment on the creative spirit, and, in particular, those who are interested in the psychology and history of ideas.Table of ContentsHuzihiro Araki: Mathematics and Physics, A Tale of Two Cultures; John Ball: Nonlinear Elasticity, Microstructures and Mathematics; Andrew Barbour: Cambridge and Zürich, Probability and Stochastik; Joseph Bernstein: Beauty and Reality in Mathematics — D-Modules, Groups, Sheaves; Ingrid Daubechies: Wavelets at your Service; Rodney Graham Downey: The Road to Parameterized Complexity and Beyond; Richard Timothy Durrett: Mathematical Modeling in Ecology, Genetics and Cancer Research; Paul Embrechts: Mathematics, Insurance, Finance; Steven Neil Evans: Probabilist for All Seasons; Jianqing Fan: Methodology and Insight in Statistics, Financial Crisis, High Dimensional Challenges; Ben Joseph Green: Addictive Combinatorics, A Prime Obsession; Benedict Gross: Elliptic Curves, Millennium Problem; Peter Gavin Hall: From Probability to Statistics — Martingales. Percolation, Bootstrap and Beyond; Alexander Semenovich Holevo: Quantum Information, Quantum Computation; Iain Murray Johnstone: Dealing with High-dimensional Data — Wavelets, PCA, RMT; Tze Leung Lai: From Accidental Statistician to Interdisciplinary Statistician Who Combines Theory with Practice; Tai-Ping Liu: Boltzmann Equation, Partial Differential Equations and the Computer; Menachem Magidor: Mathematical Logic, Common-Sense Logic; Olivier Pironneau: Control Theory, Computational Fluid Dynamics, Mathematical Finance; Ralph Tyrrell Rockafellar: Convexity, Optimization, Risk; Caroline Mary Series: Pearl of Hyperbolic Manifolds; Jean-Pierre Serre: Seventy Years of Mathematics; Lawrence Alan Shepp: From Putnam to CAT Scan; Richard Arnold Shore: Logic, Mathematics, Computer Science; Yum-Tong Siu: Hongkong–Princeton–Harvard, a Path of Several Complex Variables; Gang Tian: From Kähler Geometry to Quantum Cohomology; Emmanuel Ullmo: Diophantine Geometry — From Ergodic Theory to O-Minimal Theory; Moshe Ya'akov Vardi: Sapere Aude! (Dare to Know!); Marie-France Vignéras: From Lycée to Langlands, L'Express Femme 100; Cédric Villani: Ambassador of Mathematics Extraordinaire; Wendelin Werner: Probabilistic Tour de Force; Zhouping Xin: Courant in Hong Kong — Shock Waves, Nonlinear Waves; Shing-Tung Yau: Manifolds, Cosmos, China; Shou-Wu Zhang: Number Theory and Arithmetic Algebraic Geometry; James V Zidek: Bridges Bayesians Build;
£108.00
World Scientific Publishing Co Pte Ltd Adventures In Recreational Mathematics (In 2
Book SynopsisDavid Singmaster believes in the presentation and teaching of mathematics as recreation. When the Rubik's Cube took off in 1978, based on thinly disguised mathematics, he became seriously interested in mathematical puzzles which would provide mental stimulation for students and professional mathematicians. He has not only published the standard mathematical solution for the Rubik's cube still in use today, but he has also become the de facto scribe and noted chronicler of the recreational mathematics puzzles themselves.Dr Singmaster is also an ongoing lecturer of recreational mathematics around the globe, a noted mechanical puzzle collector, owner of thousands of books related to recreational mathematical puzzles and the 'go to' source for the history of individual mathematical puzzles.This set of two books provides readers with an adventure into previously unknown origins of ancient puzzles, which could be traced back to their Medieval, Chinese, Arabic and Indian sources. The puzzles are fully described, many with illustrations, adding interest to their history and relevance to contemporary mathematical concepts. These are musings of a respected historian of recreational mathematics.
£42.75
World Scientific Publishing Co Pte Ltd Mathematics: Its Historical Aspects, Wonders And
Book SynopsisWhenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency 'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader.The book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.
£90.00
World Scientific Publishing Co Pte Ltd Mathematics: Its Historical Aspects, Wonders And
Book SynopsisWhenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency 'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader.The book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.
£42.75
World Scientific Publishing Co Pte Ltd Mathematics In Ancient Jaina Literature
Book SynopsisThe volume contains selected articles presented in the ZOOM conference on History of Mathematics in Jain Literature, December 2020, and also contains articles invited by the editors on specific topics.The main objective for the conference was to bring to the attention of historians in mathematics that there is a plenty of literature written by monks and scholars in Jaina literature that contains elements of arithmetic, algebra and geometry, independent of discoveries by other cultures in the past. The talks and the discussions at the conference highlighted a need for a volume that can be recommended as a reference book for a course on History of Mathematics in the Departments of Mathematics and Education in colleges and universities. This is our hope that the present volume would fill up the gap on the lack of knowledge of past Jaina contributions.
£85.50
World Scientific Publishing Co Pte Ltd Wu Wenjun: A Biography In Pictures
Book SynopsisThis book depicts the fascinating life story of Wu Wenjun, a renowned mathematician who made significant contribution in the field of topology, ancient Chinese mathematics, and mathematics mechanization. He was a recipient of the Highest Science and Technology Award, the highest scientific award in China, as well as the Shaw Prize in Mathematics.Through vivid illustrations and eloquent writing, this book recounts rarely known anecdotes and significant events from Wu Wenjun's life through his childhood, education, and scientific career, offering insights into his life values.
£61.75
World Scientific Publishing Co Pte Ltd Brief History Of Mathematics For Curious Minds, A
Book SynopsisThis book offers a short and accessible account of the history of mathematics, written for the intelligent layman to gain a better appreciation of its beauty, relevance, and place in history. It traces the development of the subject throughout the centuries, starting with the so-called Lebombo bone, the oldest known mathematical object that was estimated to be at least 43,000 years old, and ending with the 21st century.The presentation is informal, and no prior knowledge of mathematics is needed to enjoy the systematic chronological insights. A collection of appendices is included for more technical material — though still at the level of secondary school mathematics — and is concerned with the historically important proofs and concepts that can be explained in a simple way.
£61.75
World Scientific Publishing Co Pte Ltd Brief History Of Mathematics For Curious Minds, A
Book SynopsisThis book offers a short and accessible account of the history of mathematics, written for the intelligent layman to gain a better appreciation of its beauty, relevance, and place in history. It traces the development of the subject throughout the centuries, starting with the so-called Lebombo bone, the oldest known mathematical object that was estimated to be at least 43,000 years old, and ending with the 21st century.The presentation is informal, and no prior knowledge of mathematics is needed to enjoy the systematic chronological insights. A collection of appendices is included for more technical material — though still at the level of secondary school mathematics — and is concerned with the historically important proofs and concepts that can be explained in a simple way.
£33.25
World Scientific Publishing Co Pte Ltd Algorithms Monks And Merchants Computing In
Book SynopsisThis book explores the tight relationship that existed between application needs and computational problem-solving methods during the Middle Ages, particularly the period between the 9th and 15th centuries. It was a time of great cultural and economic evolution, starting with the blooming phase of Arab science and continuing with the acquisition of Hindu-Arabic computation methods (based on the decimal positional number system) in Western Europe.The aim is to show, by means of suitable examples, how in the Middle Ages mathematics and computation were tightly related to the solution of everyday life problems. These ranges from religious problems like computing the date of Easter to land measurement and financial computations, as well as handling various volumes and managing agricultural resources.In particular, during the late medieval centuries when the economy saw a substantial upswing, merchants' activity required strong computational skills to solve a great variety of problems. It is such need that led to the creation of the so called 'abacus schools' that the sons of merchants, primarily Italians but also from other European regions, attended during their boyhood to learn computing techniques.
£76.00
Springer Verlag, Singapore The Mathematics of India: Concepts, Methods,
Book SynopsisThis book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts.Recent decades have seen a renewal of interest in this history, as manifested in the publication of an increasing number of critical editions and translations of texts, as well as in an informed analytic interpretation of their content by the scholarly community. The result has been the emergence of a more accurate and balanced view of the subject, and the book has attempted to take an account of these nascent insights. As part of an endeavour to promote the new awareness, a special attention has been given to the presentation of proofs of all significant propositions in modern terminology and notation, either directly transcribed from the original texts or by collecting together material from several texts.Trade Review“This is a very well-written account of the mathematics of India. There is a strong need for further research to fill the gaps that exist in the history of mathematics of India, and I think the current book serves to inspire the younger generation to undertake such an effort.” (Gnana B. Tenali, Mathematical Reviews, March 2, 2020)Table of ContentsChapter 1. Background: Culture and Language.- Chapter 2. Vedic Geometry.- Chapter 3. Antecedents? Mathematics in the Indus Valley.- Chapter 4. Decimal Numbers.- Chapter 5. Numbers in the Vedic Literature.- Chapter 6. From 500 BCE to 500 CE.- Chapter 7. The Mathematics of the Ganitapada.- Chapter 8. From Brahmagupta to Bhaskara II to Narayana.- Chapter 9. The Nila Phenomenon.- Chapter 10. Nila Mathematics (General Survey).- Chapter 11. The pi-series.- Chapter 12. The Sine and Cosine Series.- Chapter 13. The pi-Series Revisited: Algebra in Analysis.- Chapter 14. What is Indian about the Mathematics of India?.- Chapter 15. What is Indian . . .? The Question of Proofs.- Chapter 16. Upasamhara.
£98.99
World Scientific Publishing Co Pte Ltd Russian Mathematicians In The 20th Century
Book SynopsisIn the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed “what to do” rather than “how to do it”. Thus, the book will be valued beyond historical documentation.The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians — such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein — and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincaré; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today.The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union.Table of ContentsLyapunov (A New Case of Integrability of Differential Equations of Motion of a Solid Body in Liquid); Luzin (Sur l'absolue convergence des series trigonometriques); Egorov (Mathematics and Religion in Moscow, by C E Ford); Smirnov (Sur les polynomes orthogonaux a une veriable complexe); Bernstein (Sur la meilleure approximation sur tout l'axe reel des fonctions continues par des fonctions entieres de degre fini); Urysohn; Chebotarev; Vinogradov (Representation of an Odd Number as the Sum of Three Primes); Aleksandrov (Sur la notion de dimension des ensembles fermes); Menshov; Gelfond (Sur le septierie probleme de Hilbert); Khinchin (Three Pearls of Number Theory); Kolmogorov (Local Structure of Turbulence in an Incompressible Viscous Fluid at Very Large Reynolds Numbers); Pontryagin (Homotopic Classification of an (n+2)-Dimensional Spheres into an n-Dimensional Spheres); Gelfand (On Identities for Eigenvalues of a Second Order Differential Operators); Sobolev (On a Theorem of Functional Analysis); Petrovsky (On Problem of some PDE's); Krein (On Extreme Points of Regularly Convex Sets); Liusternik (Topology and Variational Problem); Rokhlin (Proof of Gudkov's Hypothesis); Novikov (Periodic Groups); Bogoliubov (Mathematical Problems of Quantum Field Theory); Aleksadrov (Neue ungleichungen fur die mischvolumen konvexer korper); Kantorovich (A New Method of Solving of Some Classes of Extremal Problems); Malcev (Free Topological Algebras); Linnik (An Application of the Theory of Matrices and of Lobatschevskian Geometry to the Theory of Dirichlet's Real Characters); Markov (The Theory of Algorithms); Lavrentev (On the Theory of Quasi-Conformal Mapping of Three-Dimensional Domains); Tikhonov (Ueber die Erweiteung von Raumen); Delone (Sur le nombre de representations d'un nombre par une forme eubique a discriminent negatif); Keldysh (On the Completeness of the Eigenfunctions of Some Classes of Non-Self Adjoint Linear Operators); Fadeeev; and other articles.
£101.70
World Scientific Publishing Co Pte Ltd Unexpected Links Between Egyptian And Babylonian
Book SynopsisMesopotamian mathematics is known from a great number of cuneiform texts, most of them Old Babylonian, some Late Babylonian or pre-Old-Babylonian, and has been intensively studied during the last couple of decades. In contrast to this Egyptian mathematics is known from only a small number of papyrus texts, and the few books and papers that have been written about Egyptian mathematical papyri have mostly reiterated the same old presentations and interpretations of the texts.In this book, it is shown that the methods developed by the author for the close study of mathematical cuneiform texts can also be successfully applied to all kinds of Egyptian mathematical texts, hieratic, demotic, or Greek-Egyptian. At the same time, comparisons of a large number of individual Egyptian mathematical exercises with Babylonian parallels yield many new insights into the nature of Egyptian mathematics and show that Egyptian and Babylonian mathematics display greater similarities than expected.Table of Contents# Two Curious Mathematical Cuneiform Texts from Old Babylonian Mari # Hieratic Mathematical Papyri and Cuneiform Mathematical Texts # Demotic Mathematical Papyri and Cuneiform Mathematical Texts # Greek-Egyptian Mathematical Documents and Cuneiform Mathematical Texts
£88.20
World Scientific Publishing Co Pte Ltd You Failed Your Math Test, Comrade Einstein:
Book SynopsisThis groundbreaking work features two essays written by the renowned mathematician Ilan Vardi. The first essay presents a thorough analysis of contrived problems suggested to “undesirable” applicants to the Department of Mathematics of Moscow University. His second essay gives an in-depth discussion of solutions to the Year 2000 International Mathematical Olympiad, with emphasis on the comparison of the olympiad problems to those given at the Moscow University entrance examinations.The second part of the book provides a historical background of a unique phenomenon in mathematics, which flourished in the 1970s-80s in the USSR. Specially designed math problems were used not to test students' ingenuity and creativity but, rather, as “killer problems,” to deny access to higher education to “undesirable” applicants. The focus of this part is the 1980 essay, “Intellectual Genocide”, written by B Kanevsky and V Senderov. It is being published for the first time. Also featured is a little-known page of the Soviet history, a rare example of the oppressed organizing to defend their dignity. This is the story of the so-called Jewish People's University, the inception of which is associated with Kanevsky, Senderov and Bella Subbotovskaya.Table of Contents# Mekh-Mat Entrance Examinations Problems (I Vardi) # Solutions to the Year 2000 International Mathematical Olympiad (I Vardi) # My Role as an Outsider, Ilan Vardi's Epilogue (I Vardi) # Intellectual Genocide (B Kanevsky & V Senderov) # Remarks (I Vardi) # Science and Totalitarianism (A Vershik) # Admission to the Mathematics Departments in Russia in the 1970's and 1980s (A Vershik) # Entrance Examination to the Mekh-Mat (A Shen) # Free Education at the Highest Price (K Tylevich) # Jewish University (D Fuchs) # Remembering Bella Abramovna (A Zelevinsky) # Bella Abramovna Subbotovskaya (I Muchnik)
£93.60
World Scientific Publishing Co Pte Ltd New Perspectives On Mathematical Practices:
Book SynopsisThis volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics. It contains a well-balanced mixture of contributions by internationally established experts, such as Jeremy Gray and Jens Hoyrup; upcoming scholars, such as Erich Reck and Dirk Schlimm; and young, promising researchers at the beginning of their careers. The book is situated within a relatively new and broadly naturalistic tradition in the philosophy of mathematics. In this alternative philosophical current, which has been dramatically growing in importance in the last few decades, unlike in the traditional schools, proper attention is paid to scientific practices as informing for philosophical accounts.Table of ContentsTowards an Informed Argument from Geometry (H De Cruz); Whitehead, The Serpent in Russell's Paradise (R Desmet); A Mathematician and a Philosopher on the Science-Likeness of Mathematics (E Glas); Nineteenth-Century Analysis as a Philosophy of Mathematics (J Gray); On the Origin and Nature of Algebraic Symbolism (A Heeffer); What Did the Abacus Teachers Really Do When They (Sometimes) Ended Up Doing Mathematics? (J Hoyrup); Representations as Means and Ends (H Kragh Sorensen); Diagrammatic Reasoning in Euclid's Elements (D Macbeth); Reading Diophantos (A Meskens); Philosophical Method and Galileo's Paradox of Infinity (M Parker); Bridging Theorems with Axioms: Boole, Stone, and Tarski (D Schlimm); Dedekind, Structural Reasoning and Mathematical Understanding (E Reck).
£110.70
World Scientific Publishing Co Pte Ltd Are Science And Mathematics Socially Constructed?
Book SynopsisThis book is a history, analysis, and criticism of what the author calls “postmodern interpretations of science” (PIS) and the closely related “sociology of scientific knowledge” (SSK). This movement traces its origin to Thomas Kuhn's revolutionary work, The Structure of Scientific Revolutions (1962), but is more extreme. It believes that science is a “social construction”, having little to do with nature, and is determined by contextual forces such as the race, class, gender of the scientist, laboratory politics, or the needs of the military industrial complex.Since the 1970s, PIS has become fashionable in the humanities, social sciences, and ethnic or women's studies, as well as in the new academic discipline of Science, Technology, and Society (STS). It has been attacked by numerous authors and the resulting conflicts led to the so-called Science Wars of the 1990s. While the present book is also critical of PIS, it focuses on its intellectual and political origins and tries to understand why it became influential in the 1970s. The book is both an intellectual and a political history. It examines the thoughts of Karl Popper, Karl Mannheim, Ludwik Fleck, Thomas Kuhn, Paul Feyerabend, David Bloor, Steve Woolgar, Steve Shapin, Bruno Latour, and PIS-like doctrines in mathematics. It also describes various philosophical contributions to PIS ranging from the Greek sophists to 20th century post-structuralists and argues that the disturbed political atmosphere of the Vietnam War era was critical to the rise of PIS.Table of ContentsThe Invisibility of Postmodern Interpretations of Science (PIS) to Scientists; Typical PIS Theses; Views of Science - Postwar and Now; A Golden Age and Its End; Philosophical Ingredients in the PIS Bouillabaisse; Karl Popper - A Canary in the Mine, Karl Mannheim and the Sociology of Knowledge; Ludwik Fleck, a Precursor of Kuhn; Thomas Kuhn, the Reluctant Revolutionary; A"Anything GoesA" - Paul Feyerabend's Philosophy of Science; The Final Deconstruction of Science: Sociology of Scientific Knowledge; Ontological Issues; David Bloor and the Strong Program; Bruno Latour and Laboratory Politics; Alan Gross and Science as Rhetoric; Harry Collins and the Experimenter's Regress; Social Constructivism; Feminism and Afro-Centrism; PIS and Mathematics; Madison in 1973; The Vietnam War and PIS; Philosophic Objections to PIS; Realism vs. Anti-Realism; Colin McGinn's Thesis; Political and Science Policy Consequences of PIS; A New Outbreak of the Science Wars?.
£94.50
World Scientific Publishing Co Pte Ltd Arthur L Bowley: A Pioneer In Modern Statistics
Book SynopsisArthur Lyon Bowley, the founding father of modern statistics, was an important and colorful figure and a leader in cementing the foundations of statistical methodology, including survey methodology, and of the applications of statistics to economical and social issues during the late 19th and early 20th centuries. In many respects, he was ahead of his time.The giants in this field around that time were largely concentrated in the British Isles and Scandinavian countries; among these contributors, Arthur Bowley was one of the most active in revolutionizing statistical methodology and its economic applications. However, Bowley has been vastly undervalued by subsequent commentators — while hundreds of articles and books have been written on Karl Pearson, those on Arthur Bowley amount to a dozen or less. This book seeks to remedy this and fill in an important omission in the monographical literature on the history of statistics. In particular, the recent resurgence of interest in poverty research has led to a renewed interest in Bowley's legacy.Table of ContentsBiography and Scientific Activities of A L Bowley; Statistical Papers and Books; Economic Papers and Books; A L Bowley's Everlasting Effect.
£153.00
World Scientific Publishing Co Pte Ltd Birth Of Numerical Analysis, The
Book SynopsisThe 1947 paper by John von Neumann and Herman Goldstine, “Numerical Inverting of Matrices of High Order” (Bulletin of the AMS, Nov. 1947), is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book is a unique collection of contributions by researchers who have lived through this evolution, testifying about their personal experiences and sketching the evolution of their respective subdomains since the early years.Table of ContentsComments on Multidimensional Extrapolation Quadrature (J Lyness); Some Pioneers of Extrapolation Methods (C Brezinski); On the History of Numerical Methods for Stiff Differential Equations (R Jeltsch); Numerics of Non-stiff Differential Equations (G Wanner); A Personal Perspective on the History of the Numerical Analysis of Fredholm Integral Equations of the Second Kind (K Atkinson); Building the NAG Library (B Ford); Nonnegativity Constraints in Numerical Analysis (R Plemmons); The Development of Algorithms for Nonlinear Optimization (M J D Powell); The History and Development of Numerical Analysis in Scotland: A Personal Perspective (G A Watson); My Early Experience with Scientific Computing (Ph Davis).
£85.50
World Scientific Publishing Co Pte Ltd Fifty Years Of Mathematical Physics: Selected
Book SynopsisThis unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.
£66.50
World Scientific Publishing Co Pte Ltd In The Search For Beauty: Unravelling
Book SynopsisThis is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about the people, brilliant mathematicians starting from Pythagoras and Euclid and terminating with Gauss, Lobachevsky and Klein. For two thousand years, mathematicians tried to prove the fifth postulate (whose formulation seemed to them too complicated to be a real postulate and not a theorem, hence the title In the Search for Beauty). But in the 19th century, they realized that such proof was impossible, and this led to a revolution in mathematics and then in physics. The two final chapters are devoted to Einstein and his general relativity which revealed to us that the geometry of the world we live in is not Euclidean.Also included is an historical essay on Omar Khayyam, who was not only a poet, but also a brilliant astronomer and mathematician.
£66.50
World Scientific Publishing Co Pte Ltd Russian Mathematics Education: Programs And
Book SynopsisThis anthology, consisting of two volumes, is intended to equip background researchers, practitioners and students of international mathematics education with intimate knowledge of mathematics education in Russia.Volume I, entitled Russian Mathematics Education: History and World Significance, consists of several chapters written by distinguished authorities from Russia, the United States and other nations. It examines the history of mathematics education in Russia and its relevance to mathematics education throughout the world. The second volume, entitled Russian Mathematics Education: Programs and Practices will examine specific Russian programs in mathematics, their impact and methodological innovations. Although Russian mathematics education is highly respected for its achievements and was once very influential internationally, it has never been explored in depth. This publication does just that.Table of ContentsOn the Mathematics Lesson (A Karp & L Zvavich); The History and Current State of Elementary Mathematics Education in Russia (O Ivasheva); On the Teaching of Geometry in Russian Schools (A Karp & A Werner); On the Teaching of Algebra in Russian Schools (L Kuznetsova et al.); On the Teaching of Analysis in Russian Schools (M Jackubson); Combinatorics, Probability, and Statistics in Russian Schools (E Bunimovich); Mathematics in Schools with Advanced Courses of Studies (A Karp); Assessment in Mathematics in Russian Schools (A Karp & L Zvavich); Extracurricular Work in Mathematics (A Marushina & M Pratusevich); On Russian Research in Mathematis Education (A Karp & R Leikin); Developing and Agenda for Comparative Studies (B Vogeli).
£148.50
World Scientific Publishing Co Pte Ltd Fifty Years Of Mathematical Physics: Selected
Book SynopsisThis unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.Table of ContentsScattering Theory; Automorphic Functions; Field THeory; Theory of Solitons; Quantum Groups; Knots; General Questions.
£171.00
World Scientific Publishing Co Pte Ltd History Of Mathematical Sciences: Portugal And
Book SynopsisMissionaries, and in particular the Portuguese Assistancy of the Society of Jesus, played a fundamental role in the dissemination of Western scientific knowledge in East Asia. They also brought to Europe a deeper knowledge of Asian countries. This volume brings together a series of essays analyzing important new data on this significant scientific and cultural exchange, including several in-depth discussions of new sources relevant to Jesuit scientific activities at the Chinese Emperor's Court. It includes major contributions examining various case studies that range from the work of some individual missionaries (Karel Slavíček, Guillaume Bonjour) in Beijing during the reigns of Kangxi and Yongzheng to the cultural exchange between a Korean envoy and the Beijing Jesuits during the early 18th century. Focusing in particular on the relationship between science and the arts, this volume also features articles pertaining to the historical contributions made by Tomás Pereira and Jean-Joseph-Marie Amiot, to the exchange of musical knowledge between China and Europe.Table of ContentsIntroduction (Luis Saraiva); Portugal and the Jesuit Mission to China: Trends in Historiography (Rui Magone); Evangelization, Politics, and Technology Transfer in the 17th Century Cochinchina, the Case of Joao da Cruz (Alexei Volkov); The Jesuits and their Study of Chinese Astronomy and Chronology in the 17th and 18th centuries (Han Qi); The Jesuit Jean-Joseph-Marie Amiot and Chinese Music in the Eighteenth Century (Nii Yoko); Some data on Tomas Pereira's Biography and Manuscripts (Isabel Pina); Pereira's trip to Tartary in 1615 (Davor Antonucci); Thomas Pereira and the knowledge of Western music in the 17th and the 18th Centuries (Wang Bing & Manuel Serrano Pinto); Pereira's Musical Heritage as Context for His Contributions in China (Joyce Lindorff); Verbiest's manuscript on astronomy and mechanics (1676): From Beijing to Moscow and Constantinople (Noǫl Golvers and Efthymios Nicolaidis); Manchu manuscripts on Mathematics in the Toyo Bunko, the State Library of Inner Mongolia and the Bibliotheque Nationale de France (Junsei Watanabe); The New Thermometer and a Slice of Experimental Philosophy in the Early Qing Court (Yunli Shi); Karel Slavicek and His Scientific Works in China (Dun Liu).
£108.00
