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.

for each book say: year of first edition; sequential vs continuous functions approach; whether real system is constructed (and if so how); R vs R^n; whether it treats general metric spaces; good pictures or not; level of mathematical maturity required (e.g. is it suitable for someone who hasn't done proofs at all? does it assume you're very good at going through math books already?); level of suitability for self-study; does it have solutions?;

Stein and Shakarchi, Real Analysis

i think this is mostly graduate level material

Taylor, Introduction to Analysis in One Variable and Introduction to Analysis in Several Variables

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Bartle (he has three books)

oh god, there are so many.

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

Bryant's Yet Another Introduction to Analysis; A Problem Text in Advanced Calculus by John Erdman; Mathematical Analysis by S. C. Malik and Savita Aror; Fundamental Ideas of Analysis by Reed; calculus book by salas/etgen/hille; Elements of Real Analysis by denlinger; Introduction to Real Analysis by SK Mapa; Hoffman's Analysis in Euclidean Space; Hoffman's Elementary Classical Analysis; 'A First Course in Mathematical Analysis' by David Alexandar Brannan; Trench; Elementary Real Analysis by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner; Mathematical Analysis I by Elias Zakon; Alan Sultan's 'A Primer on Real Analysis'; Introduction to Analysis by Mattuck; Introduction to Analysis by Maxwell Rosenlicht; Courant and John's 'An introduction to Calculus and Analysis', volumes I and II; An Introduction to Classical Real Analysis by Karl Stromberg; "Guide to Analysis" by Hart & Towers; Steven R. Lay's book "Analysis - With an Introduction to Proof"; Real analysis by Frank Morgan; Methods of Real Analysis: Goldberg; Mathematical Analysis: A Straightforward Approach by K.G. Binmore;