Mathematical methods of classical mechanics (Record no. 116)

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
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 8 08/04/2012 QA805 00116 Book