MARC details
| 000 -LEADER |
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04929nam a22004695i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
978-3-319-01195-0 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20160302170921.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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130726s2013 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319011950 |
| -- |
978-3-319-01195-0 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-319-01195-0 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QC19.2-20.85 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PHU |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
SCI040000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
530.1 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Hassani, Sadri. |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
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| 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 |
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| Edition statement |
2nd ed. 2013. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Cham : |
| Name of producer, publisher, distributor, manufacturer |
Springer International Publishing : |
| -- |
Imprint: Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2013. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
XXXI, 1205 p. 160 illus. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 505 0# - FORMATTED CONTENTS NOTE |
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| 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. |
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| 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 |
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| Topical term or geographic name as entry element |
Physics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Applied mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Engineering mathematics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Theoretical, Mathematical and Computational Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematical Methods in Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Numerical and Computational Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Applications of Mathematics. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Printed edition: |
| International Standard Book Number |
9783319011943 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="http://dx.doi.org/10.1007/978-3-319-01195-0">http://dx.doi.org/10.1007/978-3-319-01195-0</a> |
| 912 ## - |
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ZDB-2-PHA |
