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Introduction to Mathematical Physics

Michael T. Vaughn (Autor)

Online Resource

543 Seiten

2008
Blackwell Verlag GmbH (Hersteller)
978-3-527-61885-9 (ISBN)

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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.
Free solutions manual available for lecturers at www.wiley-vch.de/supplements/.

Michael T. Vaughn is Professor of Physics at Northeastern University in Boston and well known in particle theory for his contributions to quantum field theory especially in the derivation of two loop renormalization group equations for the Yukowa and scalar quartic couplings in Yang-Mills gauge theories and in softly broken supersymmetric theories. Professor Vaughn has taught graduate courses in mathematical physics at the University of Pennsylvania, Indiana University and Texas A&M University as well as at Northeastern.

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

Erscheint lt. Verlag	4.1.2008
Verlagsort	Berlin
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Naturwissenschaften ► Physik / Astronomie
ISBN-10	3-527-61885-6 / 3527618856
ISBN-13	978-3-527-61885-9 / 9783527618859
Zustand	Neuware