Mathematical physics a modern introduction to its foundations Sadri Hassani

Format:

Book

Author/Creator:

Hassani, Sadri

Language:

English

Subjects (All):

Mathematical physics.

Physical Description:

1 online resource

Edition:

Second edition

Place of Publication:

Cham Springer [2013]

Language Note:

English

Summary:

"This book is for physics students interested in the mathematics they use and for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation tries to strike a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained"

"Intended for advanced undergraduate or beginning graduate students, this comprehensive guide should also prove useful as a refresher or reference for physicists and applied mathematicians. Over 300 worked-out examples and more than 800 problems provide valuable learning aids."--Jacket

Contents:

Mathematical preliminaries Vectors and transformations Operator algebra Matrices : operator representations Spectral decomposition Hilbert spaces Generalized functions Classical orthogonal polynomials Fourier analysis Complex calculus Calculus of residues Complex analysis : advanced topics Separation of variables in spherical coordinates Second-oder linear differential equations Complex analysis of SOLDEs Integral transforms and differential equations An introduction to operator theory

t Integral equations Sturm-Liouville systems : formalism Sturm-Liouville systems : examples Green's functions in one dimension Multidimensional Green's functions : applications Group theory Group reprensentation theory Algebra of tensors Analysis of tensors Lie groups and lie algebras Differential geometry Lie groups and differential equations Calculus of variations, symmetries, and conservation laws

Notes:

Includes bibliographical references and index

Print version record

Other Format:

Print version Hassani, Sadri. Mathematical physics

ISBN:

9783319011950

3319011952

3319011944

9783319011943

OCLC:

856147788

Access Restriction:

Restricted for use by site license