MARC details
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03148cam a2200313 a 4500 |
| 001 - CONTROL NUMBER |
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vtls000000826 |
| 003 - CONTROL NUMBER IDENTIFIER |
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VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20250102224903.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
081020s1997 maua |b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
97-000300 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0817636951 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3764336951 |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] |
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| Level of rules in bibliographic description |
201402040051 |
| Level of effort used to assign nonsubject heading access points |
VLOAD |
| Level of effort used to assign subject headings |
201008020848 |
| Level of effort used to assign classification |
malmash |
| Level of effort used to assign subject headings |
200811111016 |
| Level of effort used to assign classification |
venkatrajand |
| Level of effort used to assign subject headings |
200810201316 |
| Level of effort used to assign classification |
Noora |
| -- |
200810201314 |
| -- |
Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QC125.2 |
| Item number |
.S6813 1997 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Souriau, J.-M. |
| Fuller form of name |
(Jean Marie), |
| Dates associated with a name |
1922- |
| 9 (RLIN) |
49028 |
| 245 10 - TITLE STATEMENT |
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| Title |
Structure of Dynamical Systems : |
| Remainder of title |
A Symplectic View of Physics / |
| Statement of responsibility, etc. |
J.-M. Souriau ; translated by C.H. Cushman-de Vries ; translation editors, R.H. Cushman, G.M. Tuynman. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
Boston : |
| Name of publisher, distributor, etc. |
Birkhauser, |
| Date of publication, distribution, etc. |
c1997. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xxxiv, 406 p. : |
| Other physical details |
ill. ; |
| Dimensions |
25 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Progress in mathematics ; |
| Volume/sequential designation |
v. 149 |
| 9 (RLIN) |
24858 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographical references (p. [387]-389) and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Introduction.-Differential Geometry.-Manifolds.-Derivations.-Differential Equations.-Differential Forms.-Foliated Manifolds.-Lie Groups.-The Calculus of Variations.-Symplectic Geometry.-2-Forms.-Symplectic Manifolds.-Canonical Transformations.-Dynamical Groups.-Mechanics.-The Geometric Structure of Classical Mechanics.-The Principles of Symplectic Mechanics.-A Mechanistic Description of Elementary Particles.-Particles Dynamics.-Statistical Mechanics.-Measures on a Manifold.-The Principles of Statistical Mechanics.-A Method of Quantization.-Geometric Quantization.-Quantization of Dynamical Systems.-Bibliography.-Index.-List of Notation. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization. The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. The first tow chapters provide the necessary mathematical background in differential geometry, Lie groups, and symplectic geometry. In Chapter 3 a coherent symplectic description of Galilean and relativistic mechanics is given, culminating in the classification of elementary particles (relativistic and non-relativistic, with or without spin, with or without mass). In Chapter 4 statistical mechanics is put into symplectic form, finishing with a symplectic description of the kinetic theory of gases and the computation of specific heats. Finally, in Chapter 5 the author presents his theory of geometric quantization. Highlights of this chapter are the derivations of various wave equations and the construction of the Fock space. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mechanics. |
| 9 (RLIN) |
7171 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Statistical mechanics. |
| 9 (RLIN) |
4708 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Quantum theory. |
| 9 (RLIN) |
1606 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Symplectic manifolds. |
| 9 (RLIN) |
2646 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematical physics. |
| 9 (RLIN) |
905 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Suppress in OPAC |
No |
| Koha item type |
Books |
