14 мая 2021 г. · Stephen Abbott's Understanding Analysis. Bartle & Sherbert's Introduction to Real Analysis. Michael Spivak's Calculus (apparently an analysis ...

22 апр. 2023 г. · Two that caught my eye, in particular, are Real Mathematical Analysis (Pugh) and The Way of Analysis (Strichartz).

9 авг. 2023 г. · Analysis textbooks · Real Mathematical Analysis, by Charles Pugh · Mathematical Analysis, by Tom Apostol · Principles of Mathematical Analysis, ...

27 июн. 2024 г. · Understanding Analysis by Abbott would be good, but I would also recommend Real Analysis by Jay Cummings as a supplement.

9 апр. 2023 г. · Real Analysis a long-form mathematics textbook by Jay Cummings. Analysis by Amann and Escher. Real Mathematical Analysis by Charles Pugh.

17 дек. 2023 г. · Not all textbooks have a chapter on topology (metric spaces) (eg Tao, Fitzpatrick, Buck). Is using books that don't cover those topics a bad idea?

19 авг. 2023 г. · My preferred alternative is Spaces by Tom Lindström. To be fair, it does assume some knowledge of analysis at the level of Abbott or Spivak and ...

8 февр. 2024 г. · You should take a look at Bloch's The Real Numbers and Real Analysis. The book offers various ways to start: Peano Axioms, Integers, Rationals, ...

6 янв. 2024 г. · If you're looking for measure theory, Stein and Shakarchi's real analysis is very good, Rudin's real and complex is a gold standard (challenging) ...

24 апр. 2019 г. · David Bressoud has a pair of books, A Radical Approach to Real Analysis and A Radical Approach to Lebesgue Integration, that go in depth on the ...