Introduction to Mathematical Physics
(Sprache: Englisch)
A comprehensive survey of all the mathematical methods that should be available to graduates in physics. Aside from the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations, this book includes a...
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A comprehensive survey of all the mathematical methods that should be available to graduates in physics. Aside from the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations, this book includes a more extensive discussion of group theory than may be found in other current textbooks.
Klappentext zu „Introduction to Mathematical Physics “
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/.
Alle mathematischen Verfahren, die man nach dem Diplom in Physik beherrschen sollte, sind in diesem Buch nachzulesen. Neben den üblichen Themen aus der Analysis - unendliche Reihen, Funktionen komplexer Variabler, Differenzialgleichungen und lineare Vektorräume - findet sich hier auch eine ausführliche Diskussion der Gruppentheorie, die man in modernen Lehrbüchern mit ähnlichem Themenumfang meist vergeblich sucht.
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.
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.
Inhaltsverzeichnis zu „Introduction to Mathematical Physics “
1. Infinite Sequences and Series2. 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
11. Nonlinear Systems
12. Geometry, Gauge Theories and Gravitation
Autoren-Porträt von Michael T. Vaughn
Michael T. Vaughn is Professor of Physics at Northeastern University in Boston. He has published over 50 papers, primarily in elementary particle theory, but he has also worked in nuclear physics, condensed matter physics and mathematical physics. Professor Vaughn has taught graduate courses in mathematical physics at the University of Pennsylvania, Indiana University and Texas A&M as well as at Northeastern University.
Bibliographische Angaben
- Autor: Michael T. Vaughn
- 2007, 1. Auflage, XIV, 529 Seiten, 36 Schwarz-Weiß-Abbildungen, 50 Abbildungen, Maße: 17,2 x 24,4 cm, Kartoniert (TB), Englisch
- Verlag: Wiley-VCH
- ISBN-10: 3527406271
- ISBN-13: 9783527406272
- Erscheinungsdatum: 11.05.2007
Sprache:
Englisch
Rezension zu „Introduction to Mathematical Physics “
"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)
Pressezitat
"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)
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