Introduction to Mathematical Physics

Author: Michael T. Vaughn

Publisher: John Wiley & Sons

ISBN: 3527618864

Category: Science

Page: 543

View: 2708

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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/.
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Introduction to Mathematical Physics

Methods & Concepts

Author: Chun Wa Wong

Publisher: Oxford University Press

ISBN: 0199641390

Category: Science

Page: 716

View: 7425

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Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, ithelps the student master these necessary mathematical skills.
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Mathematical Physics

A Modern Introduction to Its Foundations

Author: Sadri Hassani

Publisher: Springer Science & Business Media

ISBN: 3319011952

Category: Science

Page: 1205

View: 7866

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The goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories. This second edition is a substantial revision with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras, fibre bundles, and gauge theories. The spirit of the first edition, namely the balance between rigour and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.
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Special Functions

An Introduction to the Classical Functions of Mathematical Physics

Author: Nico M. Temme

Publisher: John Wiley & Sons

ISBN: 1118030818

Category: Mathematics

Page: 392

View: 4190

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This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.
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Introduction to the Mathematical Physics of Nonlinear Waves

Author: Minoru Fujimoto

Publisher: Morgan & Claypool Publishers

ISBN: 1627052771

Category: Science

Page: 156

View: 7269

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Nonlinear physics is a well-established discipline in physics today, and this book offers a comprehensive account of the basic soliton theory and its applications. Although primarily mathematical, the theory for nonlinear phenomena in practical environment
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Mathematics for Physicists

Introductory Concepts and Methods

Author: Alexander Altland,Jan von Delft

Publisher: Cambridge University Press

ISBN: 1108471226

Category: Mathematics

Page: 600

View: 8414

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Introduces fundamental concepts and computational methods of mathematics from the perspective of physicists.
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