Textbook or online website with Epsilon-Delta Proofs?

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SUMMARY

This discussion centers on finding resources for practicing epsilon-delta proofs in mathematics. Users recommend several textbooks, including W. Rudin's "Principles of Mathematical Analysis" for challenging exercises, G.M. Bergman's exercises packet as a supplement, and Spivak's "Calculus" for a more approachable introduction. Additional suggestions include Schaum's Advanced Calculus and Ross' "Elementary Analysis" for beginners. Free resources, such as John Erdman's problem text, are also highlighted for those seeking practice problems.

PREREQUISITES
  • Understanding of epsilon-delta definitions in calculus
  • Familiarity with real analysis concepts
  • Basic problem-solving skills in mathematics
  • Knowledge of mathematical proofs and their structures
NEXT STEPS
  • Acquire W. Rudin's "Principles of Mathematical Analysis" for advanced exercises
  • Explore G.M. Bergman's exercises packet for additional practice
  • Study Spivak's "Calculus" for a foundational approach to epsilon-delta proofs
  • Access John Erdman's free problem text for supplementary exercises
USEFUL FOR

Mathematics students, particularly first-year math majors, educators seeking teaching resources, and anyone looking to enhance their skills in epsilon-delta proofs and real analysis.

kramer733
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I don't do well by just reading a proof and internalizing it. I need problems to solve and would LOVE to internalize epsilon delta proofs by practicing 100s of them. It's how I got decent at integrals. It's how anybody gets good at math and music and in general your craft right?
I Don't know a place where i can find a ton of epsilon delta proof questions to do though. Can anybody help me?
And I've read paul notes. I don't want links about the idea of epsilon delta proofs. Just the exercise questions and the answers to them.
Please and thank you.
I'm willing to buy a textbook if it has a lot of them in it.

PLEASE HELP! I Just want to practice like mad. I want practice! It getrs boring practicing the same 2 questions my prof provided.
 
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Get W. Rudin's Principles of Mathemtical Analysis. The exercises are hard but still doable. Solutions are scattered on the web (Except for some problems).
A very good supplement to Rudin would be G.M. Bergman excercises packet, which can be found here:

http://math.berkeley.edu/~gbergman/ug.hndts/
 


I'm looking for somethijng a bit easier. well a lot easier.. But i'll definitely check it out. Something that first year math majors are expected to do. I also have average intelligence.
 
Spivak's Calculus uses epsilon-delta proofs throughout, and is just generally awesome.
 
Schaum's Advanced Calculus has some worked problems:
https://www.amazon.com/dp/0071623663/?tag=pfamazon01-20

There is also the Kaczor & Nowak series, but I haven't used them personally:
https://www.amazon.com/dp/0821820508/?tag=pfamazon01-20

You can find a free problem text by John Erdman here:
http://www.mth.pdx.edu/~erdman/PTAC/PTAClicensepage.html

In addition to the Spivak suggestion, if you want to start basic, try Ross' Elementary Analysis. It starts off about as slow as any text can.
There are solutions on some university websites.
https://www.amazon.com/dp/038790459X/?tag=pfamazon01-20
 
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Any introductory real analysis text and I don't suggest Rudin which is not introductory.

Also just throwing yourself at problems doesn't really work, you have to think about them for a while except in trivial cases.
 

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