Are Books Necessary to Understand Mathematical Proofs?

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SUMMARY

Understanding mathematical proofs is significantly enhanced by utilizing specific texts. "How to Prove It: A Structured Approach" by Daniel J. Velleman provides a foundational framework for constructing proofs, while "Discrete Mathematics with Applications" by Susanna S. Epp offers a comprehensive introduction to discrete mathematics concepts essential for proof comprehension. Both books serve as valuable resources, moving beyond mere examples to provide structured methodologies for proof development.

PREREQUISITES
  • Basic knowledge of mathematical concepts, particularly in calculus.
  • Familiarity with discrete mathematics principles.
  • Understanding of logical reasoning and argumentation.
  • Ability to analyze and construct mathematical arguments.
NEXT STEPS
  • Read "How to Prove It: A Structured Approach" by Daniel J. Velleman.
  • Study "Discrete Mathematics with Applications" by Susanna S. Epp.
  • Explore logical reasoning techniques in mathematical proofs.
  • Practice constructing proofs using examples from both recommended texts.
USEFUL FOR

Students of mathematics, educators teaching proof techniques, and anyone seeking to deepen their understanding of mathematical reasoning and proof construction.

hellbike
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I'm looking for book about making proof.

Is this kind of book even required to understand proofs? Is there some special theory behind proofs, or books about proofs just provide examples, and are more like "math for dummies" ?

I'm not sure if it's proper to use that kind of book, should i figure everything out by myself from books about standard math topics (like calculus) ?
 
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How to Prove It: A Structured Approach by Daniel J. Velleman

or probably a better introduction if you can afford it

Discrete Mathematics with Applications by Susanna S. Epp
 

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