Details
Introduction to Mathematical Physics
1. Aufl.
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87,99 € |
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| Verlag: | Wiley-VCH |
| Format: | |
| Veröffentl.: | 26.09.2008 |
| ISBN/EAN: | 9783527618866 |
| Sprache: | englisch |
| Anzahl Seiten: | 543 |
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Beschreibungen
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>
1. Infinite Sequences and Series<br> 2. Finite-Dimensional Vector Spaces<br> 3. Geometry in Physics<br> 4. Functions of a Complex Variable<br> 5. Differential Equations<br> 6. Hilbert Spaces<br> 7. Linear Operators on Hilbert Space<br> 8. Partial Differential Equations<br> 9. Discrete Groups<br> 10. Lie Groups and Lie Algebras<br>
"This book can serve not only as a useful reference but also as an excellent text … .Well written and highly recommended." (<i>Zentralblatt MATH</i>, 1132, 2008) <p>"…an excellent resource for practicing professionals as well as researchers and faculty…" (<i>CHOICE</i>, December 2007)</p>
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.<br> <br>
This book is intended to be a survey of mathematical methods which should be available to graduate students in physics and related areas in science and engineering at an early stage in their careers. It may also be useful for practicing professionals who need an elementary introduction to the mathematical areas covered in the text. <br> In addition to the usual topics of analysis such as infinite series, functions of a complex variable, differential and partial differential equations, there is an extensive early introduction to the methods of differential geometry with examples cosen from classical mechanics, thermodynamics and electromagnetic theory. Some simle examples of nonlinear partial differential equations are discussed briefly. There is also a more extensive treatment of group theory than is available in current general mathematical physics textbooks. <br> Free solutions manual available for lecturers at www.wiley-vch.de/supplements/.<br>
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