Main Analysis I Edition: 4

Analysis I Edition: 4

Name: Analysis I Edition: 4
Rating: 5.0 (4 reviews)
ISBN: 9788195196197

Terence Tao

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This is the first book of a two-volume textbook on real analysis. Both the volumes—Analysis I and Analysis II—are intended for honors undergraduates who have already been exposed to calculus. The emphasis is on rigor and foundations. The material starts at the very beginning—the construction of number systems and set theory (Analysis I, Chaps. 1–5), then on to the basics of analysis such as limits, series, continuity, differentiation, and Riemann integration (Analysis I, Chaps. 6–11 on Euclidean spaces, and Analysis II, Chaps. 1–3 on metric spaces), through power series, several variable calculus, and Fourier analysis (Analysis II, Chaps. 4–6), and finally to the Lebesgue integral (Analysis II, Chaps. 7–8). There are appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) is in two quarters of twenty-five to thirty lectures each.

Request Code : ZLIB.IO18294739

Categories:

Year:

2022

Publisher:

Springer City: Singapore

Language:

English

ISBN 10:

8195196195

ISBN 13:

9788195196197