From Numbers to Analysis (Record no. 60545)

000 -LEADER
fixed length control field 01551 a2200229 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240731b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 978-9810233044 (HB)
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER
Universal Decimal Classification number 511
Item number RANA
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Rana, Inder K
245 ## - TITLE STATEMENT
Title From Numbers to Analysis
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher World Scientific Publishing
Year of publication 1998
Place of publication Singapore
300 ## - PHYSICAL DESCRIPTION
Number of Pages xv, 370p.
Other physical details ill.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes References (359-362) and Index
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. Set Theory <br/> 2. Natural Numbers <br/> 3. Integers <br/> 4. Rational Numbers <br/> 5. Real Numbers: Construction and Uniqueness <br/> 6. Properties of Real Numbers <br/> 7. Complex Number
520 ## - SUMMARY, ETC.
Summary, etc Starting with the Zermelo-Fraenhel axiomatic set theory, this book gives a self-contained, step-by-step construction of real and complex numbers. The basic properties of real and complex numbers are developed, including a proof of the Fundamental Theorem of Algebra. Historical notes outline the evolution of the number systems and alert readers to the fact that polished mathematical concepts, as presented in lectures and books, are the culmination of the efforts of great minds over the years. The text also includes short life sketches of some of the contributing mathematicians. The book provides the logical foundation of Analysis and gives a basis to Abstract Algebra. It complements those books on real analysis which begin with axiomatic definitions of real numbers.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Set theory
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Number theory
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Real Numbers
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN)
Topical term or geographic name as entry element Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type BOOKS
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Shelving location Full call number Accession Number Koha item type
        IMSc Library First Floor, Rack No: 28, Shelf No: 36 511 RANA 78167 BOOKS
The Institute of Mathematical Sciences, Chennai, India

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