Linear Differential Equations And Group Theory From Riemann To Poincare PDF Download
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Author | : Jeremy Gray |
Publisher | : Springer Science & Business Media |
Total Pages | : 357 |
Release | : 2010-01-07 |
Genre | : Mathematics |
ISBN | : 0817647732 |
Download Linear Differential Equations and Group Theory from Riemann to Poincare Book in PDF, ePub and Kindle
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. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.
Author | : Jeremy J. Gray |
Publisher | : |
Total Pages | : 460 |
Release | : 1986 |
Genre | : Differential equations, Linear |
ISBN | : 9783764333188 |
Download Linear Differential Equations and Group Theory from Riemann to Poincaré Book in PDF, ePub and Kindle
Author | : J. J. Gray |
Publisher | : |
Total Pages | : |
Release | : 1981 |
Genre | : |
ISBN | : |
Download Differential Equations and Group Theory from Riemann to Poincare Book in PDF, ePub and Kindle
Author | : Michio Kuga |
Publisher | : Springer Science & Business Media |
Total Pages | : 147 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461203295 |
Download Galois’ Dream: Group Theory and Differential Equations Book in PDF, ePub and Kindle
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.
Author | : Nail H. Ibragimov |
Publisher | : CRC Press |
Total Pages | : 570 |
Release | : 1994-11-28 |
Genre | : Mathematics |
ISBN | : 9780849328640 |
Download CRC Handbook of Lie Group Analysis of Differential Equations Book in PDF, ePub and Kindle
Volume 2 offers a unique blend of classical results of Sophus Lie with new, modern developments and numerous applications which span a period of more than 100 years. As a result, this reference is up to date, with the latest information on the group theoretic methods used frequently in mathematical physics and engineering. Volume 2 is divided into three parts. Part A focuses on relevant definitions, main algorithms, group classification schemes for partial differential equations, and multifaceted possibilities offered by Lie group theoretic philosophy. Part B contains the group analysis of a variety of mathematical models for diverse natural phenomena. It tabulates symmetry groups and solutions for linear equations of mathematical physics, classical field theory, viscous and non-Newtonian fluids, boundary layer problems, Earth sciences, elasticity, plasticity, plasma theory (Vlasov-Maxwell equations), and nonlinear optics and acoustics. Part C offers an English translation of Sophus Lie's fundamental paper on the group classification and invariant solutions of linear second-order equations with two independent variables. This will serve as a concise, practical guide to the group analysis of partial differential equations.
Author | : John Ratcliffe |
Publisher | : Springer Science & Business Media |
Total Pages | : 761 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475740131 |
Download Foundations of Hyperbolic Manifolds Book in PDF, ePub and Kindle
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Particular emphasis has been placed on readability and completeness of ar gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the first-year graduate level of an American university. The book is divided into three parts. The first part, consisting of Chap ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete reflection groups, the Bieberbach theorems, and Selberg's lemma. The second part, consisting of Chapters 8-12, is de voted to the theory of hyperbolic manifolds. The main results are Mostow's rigidity theorem and the determination of the structure of geometrically finite hyperbolic manifolds. The third part, consisting of Chapter 13, in tegrates the first two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering space and Poincare's fundamental polyhedron theorem.
Author | : Jeremy Gray |
Publisher | : |
Total Pages | : 0 |
Release | : 1986 |
Genre | : Differential equations, Linear |
ISBN | : |
Download Linear Differential Equations and Group Theory from Riemann to Poincar{acute}e Book in PDF, ePub and Kindle
Author | : Henryk Zoladek |
Publisher | : Springer Science & Business Media |
Total Pages | : 589 |
Release | : 2006-08-10 |
Genre | : Mathematics |
ISBN | : 3764375361 |
Download The Monodromy Group Book in PDF, ePub and Kindle
In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. There is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. In covering these and other topics, this book underlines the unifying role of the monogropy group.
Author | : Ivor Grattan-Guiness |
Publisher | : Routledge |
Total Pages | : 578 |
Release | : 2004-11-11 |
Genre | : History |
ISBN | : 1134887558 |
Download Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences Book in PDF, ePub and Kindle
First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Author | : Thomas Hawkins |
Publisher | : Springer Science & Business Media |
Total Pages | : 578 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461212022 |
Download Emergence of the Theory of Lie Groups Book in PDF, ePub and Kindle
The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.