Mathematics for physics : a guided tour for graduate students / Michael Stone and Paul Goldbart.

Format:

Book

Author/Creator:

Stone, Michael, Ph. D., author.

Goldbart, Paul M., author.

Language:

English

Subjects (All):

Mathematical physics.

Mathematical physics--Problems, exercises, etc.

Physical Description:

1 online resource (xiii, 806 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2009.

Language Note:

English

Summary:

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics - differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

Contents:

Calculus of variations

Function spaces

Linear ordinary differential equations

Linear differential operators

Green functions

Partial differential equations

The mathematics of real waves

Special functions

Integral equations

Vectors and tensors

Differential calculus on manifolds

Integration on manifolds

An introduction to differential topology

Groups and group representations

Lie groups

The geometry of fibre bundles

Complex analysis

Applications of complex variables

Special functions and complex variables

Linear algebra review

Fourier series and integrals.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-19611-6

9786612393181

1-282-39318-9

0-511-64713-1

0-511-62704-1

0-511-65121-X

0-511-59323-6

0-511-59230-2

0-511-59516-6

OCLC:

438727725