Other Math Problem Books: Discover Your Favourites

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The discussion centers around favorite problem books in mathematics, highlighting a variety of resources across different subjects. Notable mentions include a comprehensive collection of calculus exercises, a free downloadable book with numerous solved problems, and a collection focused on proof techniques. Additionally, there are recommendations for textbooks in commutative algebra, Lie Theory, and Abstract Analysis. Participants express regret over the unavailability of "Principles of Mathematical Analysis," describing it as a hidden masterpiece. The conversation emphasizes the value of problem books for enhancing mathematical understanding and skills.
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Simple question: what are your favourite problem books on math? This can be any subject, even very specialised ones. Just your favourite ones in all of math.
 
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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
 
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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
Such a shame Principles of Mathematical Analysis is out of print. It's a hidden masterpiece.
 
i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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