This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis.
Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes.
This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis.
The entire text (omitting some less central topics) is in two quarters of twenty-five to thirty lectures each. This is the first book of a two-volume textbook on real analysis.
"This textbook provides an outstanding introduction to analysis.
Analysis I: Third Edition Book by Terence Tao Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses.
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