User:IssaRice/Reviews of undergraduate real analysis books
i'll slowly be filling this out.
the given years are for the first edition of the book, which gives a quick view of how old the material in the book is likely to be. but for the review, i am usually using the latest edition of the book.
Tao, Analysis I and II (2006)
Abbott, Understanding Analysis
Rudin, Principles of Mathematical Analysis (Baby Rudin)
Pugh, Real Mathematical Analysis
Spivak, Calculus
Apostol, Mathematical Analysis
Apostol, Calculus I and II
Zorich, Mathematical Analysis I and II
Bloch, The Real Numbers and Real Analysis
Gleason, Introduction to Analysis
Rogers and Boman, How We Got from There to Here
Stein and Shakarchi, Real Analysis
i think this is mostly graduate level material
Folland, Advanced Calculus
Schramm, Introduction to Real Analysis
Bressoud, A Radical Approach to Real Analysis
Taylor, Introduction to Analysis in One Variable and Introduction to Analysis in Several Variables
Lebl, Basic Analysis: Introduction to Real Analysis
Bartle (he has three books)
other books to add: Royden? Strichartz's The Way of Analysis? Kolmogorov & Fomin's Introduction to Real Analysis? Lang's Real and Functional Analysis? Ross's Elementary Analysis. Lang's Undergraduate Analysis. Hardy's A Course of Pure Mathematics?
lara alcock, jay cummings, the guide to rudin's book, The Real Analysis Lifesaver by Raffi Grinberg
Foundations of analysis by landau; Number Systems and the Foundations of Analysis by mendelson