Linear Differential Equations And Group Theory From Riemann To Poincare
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Linear Differential Equations And Group Theory From Riemann To Poincare
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Author : Jeremy Gray
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-01-07
Linear Differential Equations And Group Theory From Riemann To Poincare written by Jeremy Gray and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-07 with Mathematics categories.
This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched with historical accounts of the Riemann–Hilbert problem, the uniformization theorem, Picard–Vessiot theory, and the hypergeometric equation in higher dimensions. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.
Linear Differential Equations And Group Theory From Riemann To Poincar
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Author : Jeremy Gray
language : en
Publisher: Birkhauser
Release Date : 2000
Linear Differential Equations And Group Theory From Riemann To Poincar written by Jeremy Gray and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Differential equations, Linear categories.
"This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and non-Euclidean geometry."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Companion To The History Of Modern Science
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Author : G N Cantor
language : en
Publisher: Routledge
Release Date : 2006-09-07
Companion To The History Of Modern Science written by G N Cantor and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-07 with History categories.
* A descriptive and analytical guide to the development of Western science from AD 1500, and to the diversity and course of that development first in Europe and later across the world * Presented in clear, non-technical language * Extensive indexes of Subjects and Names `Indeed a companion volume whose 67 essays give pleasure and instruction ... an ambitious and successful work.' - Times Literary Supplement `This work is an essential resource for libraries everywhere. For specialist science libraries willing to keep just one encyclopaedic guide to history, for undergraduate libraries seeking to provide easily accessible information, for the devisers of university curricula, for the modern social historian or even the eclectic scientist taking a break from simply making history, this is the book for you.' - Times Higher Education Supplement `A pleasure to read with a carefully chosen typeface, well organized pages and ample margins ... it is very easy to find one's way around. This is a book which will be consulted widely.' - Technovation `This is a commendably easy book to use.' - British Journal of the History of Science `Scholars from other areas entering this field, students taking the vertical approach and teachers coming from any direction cannot fail to find this an invaluable text.' - History of Science Journal
Felix Klein
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Author : Renate Tobies
language : en
Publisher: Springer Nature
Release Date : 2021-06-23
Felix Klein written by Renate Tobies and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Mathematics categories.
About Felix Klein, the famous Greek mathematician Constantin Carathéodory once said: “It is only by illuminating him from all angles that one can come to understand his significance.” The author of this biography has done just this. A detailed study of original sources has made it possible to uncover new connections; to create a more precise representation of this important mathematician, scientific organizer, and educational reformer; and to identify misconceptions. Because of his edition of Julius Plücker’s work on line geometry and due to his own contributions to non-Euclidean geometry, Klein was already well known abroad before he received his first full professorship at the age of 23. By exchanging ideas with his most important cooperation partner, the Norwegian Sophus Lie, Klein formulated his Erlangen Program. Various other visionary programs followed, in which Klein involved mathematicians from Germany and abroad. Klein was the most active promoter of Riemann’s geometric-physical approach to function theory, but he also integrated the analytical approaches of the Weierstrass school into his arsenal of methods. Klein was a citizen of the world who repeatedly travelled to France, Great Britain, Italy, the United States, and elsewhere. Despite what has often been claimed, it must be emphasized that Klein expressly opposed national chauvinism. He promoted mathematically gifted individuals regardless of their nationality, religion, or gender. Many of his works have been translated into English, French, Italian, Russian, and other languages; more than 300 supporters from around the world made it possible for his portrait to be painted by the prominent impressionist Max Liebermann. Inspired by international developments, Klein paved the way for women to work in the field of mathematics. He was instrumental in reforming mathematical education, and he endorsed an understanding of mathematics that affirmed its cultural importance as well as its fundamental significance to scientific and technological progress.
The Richness Of The History Of Mathematics
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Author : Karine Chemla
language : en
Publisher: Springer Nature
Release Date : 2023-11-27
The Richness Of The History Of Mathematics written by Karine Chemla and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-27 with Mathematics categories.
This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.
Mathematical Correspondences And Critical Editions
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Author : Maria Teresa Borgato
language : en
Publisher: Birkhäuser
Release Date : 2019-03-22
Mathematical Correspondences And Critical Editions written by Maria Teresa Borgato and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-22 with Mathematics categories.
Mathematical correspondence offers a rich heritage for the history of mathematics and science, as well as cultural history and other areas. It naturally covers a vast range of topics, and not only of a scientific nature; it includes letters between mathematicians, but also between mathematicians and politicians, publishers, and men or women of culture. Wallis, Leibniz, the Bernoullis, D'Alembert, Condorcet, Lagrange, Gauss, Hermite, Betti, Cremona, Poincaré and van der Waerden are undoubtedly authors of great interest and their letters are valuable documents, but the correspondence of less well-known authors, too, can often make an equally important contribution to our understanding of developments in the history of science. Mathematical correspondences also play an important role in the editions of collected works, contributing to the reconstruction of scientific biographies, as well as the genesis of scientific ideas, and in the correct dating and interpretation of scientific writings. This volume is based on the symposium “Mathematical Correspondences and Critical Editions,” held at the 6th International Conference of the ESHS in Lisbon, Portugal in 2014. In the context of the more than fifteen major and minor editions of mathematical correspondences and collected works presented in detail, the volume discusses issues such as • History and prospects of past and ongoing edition projects, • Critical aspects of past editions, • The complementary role of printed and digital editions, • Integral and partial editions of correspondence, • Reproduction techniques for manuscripts, images and formulae, and the editorial challenges and opportunities presented by digital technology.
History Of Topology
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Author : I.M. James
language : en
Publisher: Elsevier
Release Date : 1999-08-24
History Of Topology written by I.M. James and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-24 with Mathematics categories.
Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.
Quaternion Algebras
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Author : John Voight
language : en
Publisher: Springer Nature
Release Date : 2021-06-28
Quaternion Algebras written by John Voight and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-28 with Mathematics categories.
This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essential reference for students and researchers alike. Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unit groups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces. Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields. Graduate students interested in algebra, geometry, and number theory will appreciate the many avenues and connections to be explored. Instructors will find numerous options for constructing introductory and advanced courses, while researchers will value the all-embracing treatment. Readers are assumed to have some familiarity with algebraic number theory and commutative algebra, as well as the fundamentals of linear algebra, topology, and complex analysis. More advanced topics call upon additional background, as noted, though essential concepts and motivation are recapped throughout.
Selecta Pilar Bayer Volum Ii
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Author : Montserrat Alsina
language : en
Publisher: Edicions Universitat Barcelona
Release Date : 2016-01-20
Selecta Pilar Bayer Volum Ii written by Montserrat Alsina and has been published by Edicions Universitat Barcelona this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-20 with categories.
L’obra incomparable de Pilar Bayer està escrita en les persones,en totes les persones a les quals, en un moment o altre, ens ha fet gaudir del plaer d’escoltar matemàtiques, d’aprendre matemàtiques, de fer matemàtiques. Aquesta obra diversa, eclèctica, rica en mil matisos, roman en el terreny de les experiències personals que fan la nostra vida més interessant, i no la podem plasmar en un volum, ni en dos. És un llegat fantàstic que portem incorporat. Els treballs recopilats en aquests volums en ocasió del setantè aniversari de Pilar Bayer mostren en un format palpable l’amplitud de la seva òptica matemàtica, la profunditat i la bellesa de les seves matemàtiques. No és un recull exhaustiu, sinó una invitació perquè el lector faci un tastet d’allò que li agradi més. Després, ja no podrà parar. La persona i l’obra el captivaran per seguir endavant.
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences
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Author : I. Grattan-Guinness
language : en
Publisher: JHU Press
Release Date : 2003
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences written by I. Grattan-Guinness and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
The second book of a two-volume encyclopaedia which makes the vast and varied history of mathematics available in a reasonably compact format. The book offers in-depth accounts of the principal areas of activity up to the 1930s and touches on related topics, including ethnomathematics.