000 -LEADER |
fixed length control field |
01738nam a2200205Ia 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20241105113517.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
180205s9999 xx 000 0 und d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
978-1-4704-6501-8 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
ICTS-TIFR |
050 ## - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA300 |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Frank Morgan |
245 ## - TITLE STATEMENT |
Title |
Real analysis and applications |
Remainder of title |
: including fourier series and the calculus of variations |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Name of publisher, distributor, etc. |
American Mahematical Society, |
Date of publication, distribution, etc. |
[c2005] |
Place of publication, distribution, etc. |
Rhode Island: |
300 ## - Physical Description |
Pages: |
197 p. |
505 ## - FORMATTED CONTENTS NOTE |
Formatted contents note |
Part I: Real Numbers and Limits<br/>Part II: Topology<br/>Part III: Calculus<br/>Part IV: Fourier Series<br/>Part V: The Calculus of Variations |
520 ## - SUMMARY, ETC. |
Summary, etc. |
Real Analysis and Applications starts with a streamlined, but complete, approach to real analysis. It finishes with a wide variety of applications in Fourier series and the calculus of variations, including minimal surfaces, physics, economics, Riemannian geometry, and general relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set and fractals, calculus with the Riemann integral, a chapter on the Lebesgue theory, sequences of functions, infinite series, and the exponential and Gamma functions. The applications conclude with a computation of the relativistic precession of Mercury's orbit, which Einstein called "convincing proof of the correctness of the theory [of General Relativity]."The text not only provides clear, logical proofs, but also shows the student how to derive them. The excellent exercises come with select solutions in the back. This is a text that makes it possible to do the full theory and significant applications in one semester.---Summary provided by publisher |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Koha item type |
Book |