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Download or read book Modular Forms a Computational Approach written by William A. Stein and published by American Mathematical Soc.. This book was released on 2007-02-13 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading expert in computations with modular forms, and what he says on this subject is all tried and tested and based on his extensive experience. As well as being an invaluable companion to those learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which has enough in it to inspire many PhD theses for years to come. While the book's main readership will be graduate students in number theory, it will also be accessible to advanced undergraduates and useful to both specialists and non-specialists in number theory. --John E. Cremona, University of Nottingham William Stein is an associate professor of mathematics at the University of Washington at Seattle. He earned a PhD in mathematics from UC Berkeley and has held positions at Harvard University and UC San Diego. His current research interests lie in modular forms, elliptic curves, and computational mathematics.

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Download or read book Chaos and Diffusion in Hamiltonian Systems written by and published by Atlantica Séguier Frontières. This book was released on 1995 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Download or read book Baudelaire Devant L innombrable written by Antoine Compagnon and published by Presses Paris Sorbonne. This book was released on 2003 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Mathematical Writings of variste Galois written by Évariste Galois and published by European Mathematical Society. This book was released on 2011 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.

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Download or read book Oeuvres Collected Papers IV written by Jean-Pierre Serre and published by Springer Science & Business Media. This book was released on 2002-12-11 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: The impact and influence of J.-P. Serre ́s work have been notable ever since his doctoral thesis on homotopy groups. The abundance of findings and deep insights found in his research and survey papers ranging from topology, several complex variables, and algebraic geometry to number theory, group theory, commutative algebra and modular forms, continues to provide inspiring reading for mathematicians working in these areas, in their research and their teaching. Characteristic of Serre ́s publications are the many open questions he formulates pointing to further directions for research. In four volumes of Collected Papers he has provided comments on and corrections to most articles, and described the current status of the open questions with reference to later findings. In this softcover edition of volume IV, two recently published articles have been added, one on the life and works of André Weil, the other one on Finite Subgroups of Lie Groups. From the reviews: "This is the fourth volume of J-P. Serre's Collected Papers covering the period 1985-1998. Items, numbered 133-173, contain "the essence'' of his work from that period and are devoted to number theory, algebraic geometry, and group theory. Half of them are articles and another half are summaries of his courses in those years and letters. Most courses have never been previously published, nor proofs of the announced results. The letters reproduced, however (in particular to K. Ribet and M.-F. Vignéras), provide indications of some of those proofs. Also included is an interview with J-P. Serre from 1986, revealing his views on mathematics (with the stress upon its integrity) and his own mathematical activity. The volume ends with Notes which complete the text by reporting recent progress and occasionally correct it. Zentralblatt MATH

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Download or read book L Europe math matique Mathematical Europe written by Catherine Goldstein and published by Les Editions de la MSH. This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Une image courante des mathématiques en fait une discipline née en Europe et se répandant ensuite dans le monde entier. L'histoire récente des sciences récuse ce récit simpliste en montrant les formations mathématiques et les interactions en jeu, tant à l'intérieur qu'à l'extérieur de l'Europe. Synthétisant ces résultats, l'ouvrage va plus loin et cherche à comprendre la raison d'être et les modalités du récit usuel, ainsi que la constitution concrète des mathématiques européennes. De l'Extrême-Orient aux centres fluctuants de l'Europe géographique, de l'Antiquité classique aux nations modernes, la recherche de l'Europe mathématique mène à la réflexion sur les rapports entre sciences et sociétés.