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

Call Number	530.15
Author	Stone, Michael, Ph. D., author.
Title	Mathematics for physics : a guided tour for graduate students / Michael Stone and Paul Goldbart.
Physical Description	1 online resource (xiii, 806 pages) : digital, PDF file(s).
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
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.
Added Author	Goldbart, Paul M., author.
Subject	MATHEMATICAL PHYSICS. Mathematical physics Problems, exercises, etc.
Multimedia	https://doi.org/10.1017/CBO9780511627040

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$a 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.

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$a 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.

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$a MATHEMATICAL PHYSICS.

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$a Goldbart, Paul M., $e author.

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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.
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
Subject	MATHEMATICAL PHYSICS. Mathematical physics Problems, exercises, etc.
Multimedia	https://doi.org/10.1017/CBO9780511627040