000 -LEADER |
fixed length control field |
01841nam a2200229Ia 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20230901123904.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
170804s1989 xx 000 0 und d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780387968902 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
ICTS-TIFR |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Arnold, V.I. |
245 ## - TITLE STATEMENT |
Title |
Mathematical methods of classical mechanics |
250 ## - EDITION STATEMENT |
Edition statement |
2nd Ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Name of publisher, distributor, etc. |
Springer Sciences + Business Media, Inc., |
Date of publication, distribution, etc. |
c1989 |
Place of publication, distribution, etc. |
New York: |
300 ## - Physical Description |
Pages: |
464 p. |
490 ## - SERIES STATEMENT |
Series statement |
Graduate Texts in Mathematics |
520 ## - SUMMARY, ETC. |
Summary, etc. |
Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifolds, Lie groups and Lie algebras, symplectic geometry and ergodic theory. Many modern mathematical theories arose from problems in mechanics and only later acquired that axiomatic-abstract form which makes them so hard to study. In this book we construct the mathematical apparatus of classical mechanics from the very beginning; thus, the reader is not assumed to have any previous knowledge beyond standard courses in analysis (differential and integral calculus, differential equations), geometry (vector spaces, vectors) and linear algebra (linear operators, quadratic forms). With the help of this apparatus, we examine all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the hamiltonian formalism. The author has tried to show the geometric, qualitative aspect of phenomena. In this respect the book is closer to courses in theoretical mechanics for theoretical physicists than to traditional courses in theoretical mechanics as taught by mathematicians.---Provided by publisher |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Translated by Weinstein, A. |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Vogtmann, K. |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/978-1-4757-2063-1">https://link.springer.com/book/10.1007/978-1-4757-2063-1</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Koha item type |
Book |