Analysis I by Terence Tao

Analysis I by Terence Tao

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. The fourth edition incorporates a large number of additional corrections reported since the release of the third edition, as well as some additional new exercises.

SKU	Unavailable
ISBN 13	9788195196197
ISBN 10	8195196195
Title	Analysis I
Author	Terence Tao
Series	Texts And Reading In Mathematics
Condition	Unavailable
Binding Type	Hardback
Publisher	Hindustan Book Agency
Year published	2022-09-30
Number of pages	376
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable