Introduction to Real Analysis
by William F. Trench
Publisher: Prentice Hall 2003
Number of pages: 583
Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The book is written for those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.
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by Shlomo Sternberg
The topology of metric spaces, Hilbert spaces and compact operators, the Fourier transform, measure theory, the Lebesgue integral, the Daniell integral, Wiener measure, Brownian motion and white noise, Haar measure, Banach algebras, etc.
by L. C. Young - Cambridge University Press
On the one hand, practically no knowledge is assumed; on the other hand, the ideas of Cauchy, Riemann, Darboux, Weierstrass, familiar to the reader who is acquainted with the elementary theory, are used as much as possible ...
by G.H. Hardy - Cambridge University Press
This classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. Hardy explains the fundamental ideas of the differential and integral calculus, and the properties of infinite series.
by Bert G. Wachsmuth - Seton Hall University
Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. It deals with sets, sequences, series, continuity, differentiability, integrability, topology, power series, and more.