Basic Real Analysis (Relié)

This expanded second edition presents the fundamentals and touchstone results of the subject in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language. The text includes many elegant proofs and an excellent choice of topics, including Banach and Hilbert spaces, Fiemann-Stiellj es integral, fix point theorem, Kolmogorov theorems, Fourier series, monotone functions, integration theory, and elementary probability.
Numerous examples and exercises are integrated into the main text as well as the end of each chapter to reinforce the methodology. With expanded chapters, additional problems, and an expansive solutions manual,Basic Real Analysis, Second Edition, is ideal for senior undergraduates and first-year graduate students, both as a classroom text and a self-study guide.