Problems & solutions in theoretical & mathematical physics / Willi-Hans Steeb. Volumen I, Introductory level Volumen II, Advanced level

By: Steeb, W.-H, autorMaterial type: TextTextLanguage: English Copyright date: River Edge, NJ : World Scientific , 2009Edition: Third editionDescription: 2 v. : illustrationsComp ; 24 cmISBN: 9789814282147 (vol. 1); 9789814282161 (vol. 2)Other title: Problems and solutions in theoretical and mathematical physics [Spine title]Subject(s): Mathematical physics -- Problems, exercises, etc | Física matemática -- Problems, exercises, etcDDC classification: 530.15076 LOC classification: QC20.82 | .S72 2003Online resources: Table of contents
Partial contents:
Volumen 1: Complex numbers and funtions -- Sums and products -- Discrete fourier transform -- Algebraic and transcendental equations -- Vector and matrix calculations -- Matrices and groups -- Matrices and eigenvalue problems -- Finctions of matrices -- Transformations L'Hospital's rule -- Langrage multiple method -- Linear difference equations -- Linear defferential equations -- Integration -- Continuos fourier transform -- Complex analysis -- Special functions -- Inequalities -- Functional analysis -- Combinatorics -- Convex sets and functions.
Volumen II: Groups -- Kronecker and tensor products -- Nambu mechanics -- Gateaux and fréchet derivatives -- Sybility and bifurcations -- Nonlinear ordinary difference equations -- Nonlinear ordinary differential equations -- Lax representation in classical mechanics -- Hibert spaces -- Generalized functions -- Linear artial differential equations -- Nonlinear partial differential equations -- Symmetries and group theoretical reductions -- Soliton equations -- Lax pairsfor partial differential equations -- Backlund transformations -- Hirota technique -- Painlevé test -- Lie algebras -- Lie groups -- Differential forms -- Matrix-valued differential forms -- Lie derivative -- Metric tensor fields -- Killing vector fields -- Inequalities -- Ising model and Heisenberg model -- Number theory -- Combinatorial problems -- Fermi operators -- Bose operators -- Bose-fermi systems -- Lax representations and bethe ansatz -- Gauge transformations -- Chaos, fractals and complexity.
Abstract: This book provides a comprehensive collection of problems together with their detailed solutions in the field of Theoretical and Mathematical Physics. All modern fields in Theoretical and Mathematical Physics are covered. It is the only book which covers all the new techniques and methods in theoretical and mathematical physics. Third edition updated with: Exercises in: Hilbert space theory, Lie groups, Matrix-valued differential forms, BoseFermi operators and string theory. All other chapters have been updated with new problems and materials. Most chapters contain an introduction to the subject discussed in the text.
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Item type Current library Call number Copy number Status Date due Barcode Item holds
Libro académico Libro académico Biblioteca del Campus
530.15076 S8131p 2009 (Browse shelf (Opens below)) Ej. 1 Vol. 2 Available 002076
Libro académico Libro académico Biblioteca del Campus
530.15076 S8131p 2009 (Browse shelf (Opens below)) Ej. 1. Vol. 1 Available 002073
Libro académico Libro académico Biblioteca del Campus
530.15076 S8131p 2009 (Browse shelf (Opens below)) Ej. 2, Vol. 1 Available 002074
Libro académico Libro académico Biblioteca del Campus
530.15076 S8131p 2009 (Browse shelf (Opens below)) Ej. 2, Vol. 2 Available 002077
Libro académico Libro académico Biblioteca del Campus
530.15076 S8131p 2009 (Browse shelf (Opens below)) Ej. 3, Vol. 1 Available 002075
Libro académico Libro académico Biblioteca del Campus
530.15076 S8131p 2009 (Browse shelf (Opens below)) Ej. 3, Vol. 2 Available 002078
Total holds: 0

Includes index.

Includes bibliographical references.

Volumen 1: Complex numbers and funtions -- Sums and products -- Discrete fourier transform -- Algebraic and transcendental equations -- Vector and matrix calculations -- Matrices and groups -- Matrices and eigenvalue problems -- Finctions of matrices -- Transformations L'Hospital's rule -- Langrage multiple method -- Linear difference equations -- Linear defferential equations -- Integration -- Continuos fourier transform -- Complex analysis -- Special functions -- Inequalities -- Functional analysis -- Combinatorics -- Convex sets and functions.

Volumen II: Groups -- Kronecker and tensor products -- Nambu mechanics -- Gateaux and fréchet derivatives -- Sybility and bifurcations -- Nonlinear ordinary difference equations -- Nonlinear ordinary differential equations -- Lax representation in classical mechanics -- Hibert spaces -- Generalized functions -- Linear artial differential equations -- Nonlinear partial differential equations -- Symmetries and group theoretical reductions -- Soliton equations -- Lax pairsfor partial differential equations -- Backlund transformations -- Hirota technique -- Painlevé test -- Lie algebras -- Lie groups -- Differential forms -- Matrix-valued differential forms -- Lie derivative -- Metric tensor fields -- Killing vector fields -- Inequalities -- Ising model and Heisenberg model -- Number theory -- Combinatorial problems -- Fermi operators -- Bose operators -- Bose-fermi systems -- Lax representations and bethe ansatz -- Gauge transformations -- Chaos, fractals and complexity.

This book provides a comprehensive collection of problems together with their detailed solutions in the field of Theoretical and Mathematical Physics. All modern fields in Theoretical and Mathematical Physics are covered. It is the only book which covers all the new techniques and methods in theoretical and mathematical physics. Third edition updated with: Exercises in: Hilbert space theory, Lie groups, Matrix-valued differential forms, BoseFermi operators and string theory. All other chapters have been updated with new problems and materials. Most chapters contain an introduction to the subject discussed in the text.

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