Mathematics for physicists: introductory concepts and methods

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This comprehensive textbook covers all the mathematical material required throughout a student's undergraduate physics degree. General mathematical concepts and practical computational methods are presented in unison and from a physically motivated perspectice, making even advanced mathematical tangible [source : 4e de couverture].

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Title Statements

Full title :Mathematics for physicists : introductory concepts and methods / Alexander Altland, ... Jan von Delft, ...

Summary

Edition Statements

Publication Date:2019.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2019.

Notes

Includes index.

The Physical Object

Description:1 v. (xxi-700 p.) : : illustrations, portraits, couv. illustrations en coul. ; : 26 cm

Edition Identifiers

ISBN:9781108471220, 1108471226
oclc:on1091025938
LC Classification:QC20
Dewey Decimal:530.15

Linear algebra. Mathematics before numbers ; Vector spaces ; Euclidean geometry ; Vector product ; Linear maps ; Determinants ; Matrix diagonalization ; Unitarity and hermiticity ; Linear algebra in function spaces ; Multilinear algebra ; Problems: linear algebra -- Calculus. Introductory remarks ; Differentiation of one-dimensional functions ; Integration of one-dimensional functions ; Partial Differentiation ; Multidimensional integration ; Taylor series ; Fourier calculus ; Differential equations ; Functional calculus ; Calculus of complex functions ; Problems: calculus -- Vector calculus. Introductory remarks ; Curves ; Curvilinear coordinates ; Fields ; Introductory concepts of differential geometry ; Alternating differential forms ; Riemannian differential geometry ; Case study: differential forms and electrodynamics ; Problems: vector calculus -- Solutions. Solutions: linear algebra ; Solutions: calculus ; Solutions: vector calculus.