Analysis II (eBook)

Fourth Edition

Terence Tao (Autor)

eBook Download: PDF

2023
Springer Nature Singapore (Verlag)
978-981-19-7284-3 (ISBN)

Infos

This is the second 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 taught in two quarters of twenty-five to thirty lectures each.

Produkt-Details

• Erscheint lt. Verlag: 22.2.2023
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 981-19-7284-2 / 9811972842
• ISBN-13: 978-981-19-7284-3 / 9789811972843