galois dream group theory and differential equations

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Galois Dream Group Theory And Differential Equations

Author : Michio Kuga
ISBN : 9781461203292
Genre : Mathematics
File Size : 55. 82 MB
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First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experience---an introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the world. English reading students now have the opportunity to enjoy this lively presentation, from elementary ideas to cartoons to funny examples, and to follow the mind of an imaginative and creative mathematician into a world of enduring mathematical creations.

Divergent Series Summability And Resurgence I

Author : Claude Mitschi
ISBN : 9783319287362
Genre : Mathematics
File Size : 52. 74 MB
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Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh’s point of view. The second part expounds 1-summability and Ecalle’s theory of resurgence under fairly general conditions. It contains numerous examples and presents an analysis of the singularities in the Borel plane via “alien calculus”, which provides a full description of the Stokes phenomenon for linear or non-linear differential or difference equations. The first of a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists interested in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra.

Mathematical Tools For Physicists

Author : Michael Grinfeld
ISBN : 9783527411887
Genre : Science
File Size : 24. 74 MB
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The new edition is significantly updated and expanded. This unique collection of review articles, ranging from fundamental concepts up to latest applications, contains individual contributions written by renowned experts in the relevant fields. Much attention is paid to ensuring fast access to the information, with each carefully reviewed article featuring cross-referencing, references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as more specialized. While the chapters on group theory, integral transforms, Monte Carlo methods, numerical analysis, perturbation theory, and special functions are thoroughly rewritten, completely new content includes sections on commutative algebra, computational algebraic topology, differential geometry, dynamical systems, functional analysis, graph and network theory, PDEs of mathematical physics, probability theory, stochastic differential equations, and variational methods.

Bulletin Of The American Mathematical Society

Author :
ISBN : UOM:49015003188589
Genre : Mathematics
File Size : 84. 95 MB
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Ume Trends

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ISBN : CORNELL:31924074847843
Genre : Mathematics
File Size : 76. 61 MB
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Notices Of The American Mathematical Society

Author : American Mathematical Society
ISBN : UCSD:31822017710104
Genre : Mathematics
File Size : 62. 74 MB
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The Bulletin Of Mathematics Books

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ISBN : CORNELL:31924074863436
Genre : Mathematics
File Size : 23. 50 MB
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Mathematical Reviews

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ISBN : UVA:X006088869
Genre : Mathematics
File Size : 39. 1 MB
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Analele Tiin Ifice Ale Universit Ii Al I Cuza Din Ia I

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ISBN : UOM:39015081729595
Genre : Mathematics
File Size : 86. 35 MB
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Zeitschrift F R Analysis Und Ihre Anwendungen

Author :
ISBN : UOM:39015049324521
Genre : Mathematical analysis
File Size : 83. 70 MB
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