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Introduction to Mathematical Physics : Physics Textbook - Michael T. Vaughn

Introduction to Mathematical Physics

Physics Textbook


Published: 1st July 2007
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A comprehensive survey of all the mathematical methods that should be available to graduate students in physics. In addition to the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations as well as linear vector spaces, this book includes a more extensive discussion of group theory than can be found in other current textbooks. The main feature of this textbook is its extensive treatment of geometrical methods as applied to physics. With its introduction of differentiable manifolds and a discussion of vectors and forms on such manifolds as part of a first-year graduate course in mathematical methods, the text allows students to grasp at an early stage the contemporary literature on dynamical systems, solitons and related topological solutions to field equations, gauge theories, gravitational theory, and even string theory. <br> Free solutions manual available for lecturers at www.wiley-vch.de/supplements/.<br>

"This book can serve not only as a useful reference but also as an excellent text ? .Well written and highly recommended." (Zentralblatt MATH, 1132, 2008)

"?an excellent resource for practicing professionals as well as researchers and faculty?" (CHOICE, December 2007)

1. Infinite Sequences and Series
2. Finite-Dimensional Vector Spaces
3. Geometry in Physics
4. Functions of a Complex Variable
5. Differential Equations
6. Hilbert Spaces
7. Linear Operators on Hilbert Space
8. Partial Differential Equations
9. Discrete Groups
10. Lie Groups and Lie Algebras

ISBN: 9783527406272
ISBN-10: 3527406271
Series: Physics Textbook
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 543
Published: 1st July 2007
Publisher: Wiley-VCH Verlag GmbH
Country of Publication: DE
Dimensions (cm): 24.38 x 17.53  x 2.54
Edition Number: 1