This discussion focuses on favorite math problem books, highlighting several key texts across various mathematical subjects. Notable recommendations include "Principles of Mathematical Analysis," which is currently out of print but regarded as a masterpiece, and "Abstract Analysis" (ISBN: 978-0387901388). Additional resources include a free book with numerous solved exercises, "Math AnEx II," available at a university server, and specialized texts like "Lie Theory" (ISBN: 978-0387909699) and a collection of proof techniques (ISBN: 978-3662572648). The conversation emphasizes the importance of diverse problem sets in enhancing mathematical understanding.
PREREQUISITESMathematics students, educators, and enthusiasts seeking to deepen their problem-solving skills and explore diverse mathematical topics through recommended literature.
Such a shame Principles of Mathematical Analysis is out of print. It's a hidden masterpiece.fresh_42 said:A collection of exercises in calculus:
https://www.amazon.com/dp/B000P0R1SY/?tag=pfamazon01-20
A free book (because university server) with really many exercises (and many of them solved):
http://etananyag.ttk.elte.hu/FiLeS/downloads/4b_FeherKosToth_MathAnExII.pdf
A collection of proof techniques:
https://www.amazon.com/dp/3662572648/?tag=pfamazon01-20
Especially many exercises for an ordinary textbook (commutative algebra):
https://www.amazon.com/dp/0201407515/?tag=pfamazon01-20
Lie Theory:
https://www.amazon.com/dp/0387909699/?tag=pfamazon01-20
Abstract Analysis:
https://www.amazon.com/dp/0387901388/?tag=pfamazon01-20