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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319011950 |
|
978-3-319-01195-0 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QC19.2-20.85 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
530.1 |
Edition number |
23 |
264 #1 - |
-- |
Cham : |
-- |
Springer International Publishing : |
-- |
Imprint: Springer, |
-- |
2013. |
912 ## - |
-- |
ZDB-2-PHA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Hassani, Sadri. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Mathematical Physics |
Medium |
[electronic resource] : |
Remainder of title |
A Modern Introduction to Its Foundations / |
Statement of responsibility, etc |
by Sadri Hassani. |
250 ## - EDITION STATEMENT |
Edition statement |
2nd ed. 2013. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XXXI, 1205 p. 160 illus. |
Other physical details |
online resource. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Mathematical Preliminaries -- I Finite-Dimensional Vector Spaces -- 1 Vectors and Linear Maps -- 2 Algebras -- 3 Operator Algebra -- 4 Matrices -- 5 Spectral Decomposition -- II Infinite-Dimensional Vector Spaces -- 6 Hilbert Spaces.- 7 Classical Orthogonal Polynomials -- 8 Fourier Analysis -- III Complex Analysis -- 9 Complex Calculus -- 10 Calculus of Residues -- 11 Advanced Topics -- IV Differential Equations -- 12 Separation of Variables in Spherical Coordinates -- 13 Second-Order Linear Differential Equations -- 14 Complex Analysis of SOLDEs -- 15 Integral Transforms and Differential Equations.- V Operators on Hilbert Spaces -- 16 Introductory Operator Theory -- 17 Integral Equations.- 18 Sturm-Liouville Systems -- VI Green's Functions -- 19 Green's Functions in One Dimension -- 20 Multidimensional Green's Functions: Formalism -- 21 Multidimensional Green's Functions: Applications -- VII Groups and Their Representations -- 22 Group Theory -- 23 Representation of Groups -- 24 Representations of the Symmetric Group -- VIII Tensors and Manifolds -- 25 Tensors -- 26 Clifford Algebras -- 27 Analysis of Tensors -- IX Lie Groups and Their Applications -- 28 Lie Groups and Lie Algebras -- 28.2 An Outline of Lie Algebra Theory.- 29 Representation of Lie Groups and Lie Algebras -- 30 Representation of Clifford Algebras -- 31 Lie Groups and Differential Equations -- 32 Calculus of Variations, Symmetries, and Conservation Laws -- X Fiber Bundles -- 33 Fiber Bundles and Connections -- 34 Gauge Theories -- 35 Differential Geometry -- 36 Riemannian Geometry. |
520 ## - SUMMARY, ETC. |
Summary, etc |
The goal of this book is to expose the reader to the indispensable role that mathematics---often very abstract---plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fiber bundles and their applications to differential geometry and gauge theories. This second edition is a substantial revision of the first one with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras and spinors, fiber bundles, and gauge theories. The spirit of the first edition, namely the balance between rigor and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics. Einstein has famously said, "The most incomprehensible thing about nature is that it is comprehensible." What he had in mind was reiterated in another one of his famous quotes concerning the question of how " ... mathematics, being after all a product of human thought, is so admirably appropriate to the objects of reality." It is a question that comes to everyone's mind when encountering the highly abstract mathematics required for a deep understanding of modern physics. It is the experience that Eugene Wigner so profoundly described as "the unreasonable effectiveness of mathematics in the natural sciences." |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Physics. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Mathematical physics. |
|
Topical term or geographic name as entry element |
Physics. |
|
Topical term or geographic name as entry element |
Theoretical, Mathematical and Computational Physics. |
|
Topical term or geographic name as entry element |
Mathematical Methods in Physics. |
|
Topical term or geographic name as entry element |
Numerical and Computational Physics. |
|
Topical term or geographic name as entry element |
Applications of Mathematics. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783319011943 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-319-01195-0 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |