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Introduction to Mathematical Physics

Michael T. Vaughn (Autor)

Buch | Softcover

XIV, 529 Seiten

2007 | 1. Auflage
Wiley-VCH (Verlag)
978-3-527-40627-2 (ISBN)

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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.

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.

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

"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)

Erscheint lt. Verlag	11.5.2007
Sprache	englisch
Maße	170 x 240 mm
Gewicht	1020 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie
Schlagworte	Mathematical & Computational Physics • Mathematical & Computational Physics • Mathematische Physik • Physics • Physik
ISBN-10	3-527-40627-1 / 3527406271
ISBN-13	978-3-527-40627-2 / 9783527406272
Zustand	Neuware