Real analysis and applications (Record no. 1710)

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
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 5 01/18/2018 QA300 00975 Book