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ANALYSIS I: THIRD EDITION (TEXTS AND READINGS IN By Terence Tao - Hardcover *VG*
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N.º de artículo de eBay:336039659605
Última actualización el 17 jul 2025 17:06:15 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- En muy buen estado
- Notas del vendedor
- ISBN-10
- 9380250649
- Book Title
- Analysis I: Third Edition (Texts and Readings in Mathematics)
- ISBN
- 9789380250649
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Product Identifiers
Publisher
Hindustan Book Agency
ISBN-10
9380250649
ISBN-13
9789380250649
eBay Product ID (ePID)
26038662714
Product Key Features
Number of Pages
368 Pages
Language
English
Publication Name
Analysis I
Publication Year
2014
Subject
Mathematical Analysis
Features
New Edition
Type
Textbook
Subject Area
Mathematics
Series
Texts and Readings in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.6 in
Item Weight
26.3 Oz
Item Length
10 in
Item Width
7 in
Additional Product Features
Edition Number
3
Intended Audience
Scholarly & Professional
Dewey Edition
23
Series Volume Number
37
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515
Table Of Content
1. 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 Description
New Edition
Synopsis
Part 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 Number
QA299.6-433
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