MOMENTAN AUSVERKAUFT
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Product Identifiers
PublisherHindustan Book Agency
ISBN-109380250649
ISBN-139789380250649
eBay Product ID (ePID)26038662714
Product Key Features
Number of Pages368 Pages
LanguageEnglish
Publication NameAnalysis I
Publication Year2014
SubjectMathematical Analysis
FeaturesNew Edition
TypeTextbook
Subject AreaMathematics
AuthorTerence Tao
SeriesTexts and Readings in Mathematics Ser.
FormatHardcover
Dimensions
Item Height0.6 in
Item Weight26.3 Oz
Item Length10 in
Item Width7 in
Additional Product Features
Edition Number3
Intended AudienceScholarly & Professional
Dewey Edition23
Series Volume Number37
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal515
Table Of Content1. Introduction 2. Starting at the beginning: the natural numbers 3. Set theory 4. Integers and rationals 5. The real numbers 6. Limits of sequences 7. Series 8. Infinite sets 9. Continuous functions on R 10. Differentiation of functions 11. The Riemann integral Appendix A: The basics of mathematical logic Appendix B: The decimal system
Edition DescriptionNew Edition
SynopsisPart one of a two-volume introduction to real analysis, intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning - the construction of the number systems and set theory - then goes on to the basics of analysis, through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral., This is part one of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning - the construction of the number systems and set theory - then goes on to the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. There are also appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of twenty-five to thirty lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory. In the third edition, several typos and other errors have been corrected and a few new exercises have been added.
LC Classification NumberQA299.6-433
