Proofs: A Longform Mathematics Textbook (The Longform Math Textbook Series)-used
Proofs: A Longform Mathematics Textbook (The Longform Math Textbook Series)-used

Proofs: A Longform Mathematics Textbook (The Longform Math Textbook Series)-used

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This Textbook Is Designed For Students. Rather Than The Typical Definitiontheoremproofrepeat Style, This Text Includes Much More Commentary, Motivation And Explanation. The Proofs Are Not Terse, And Aim For Understanding Over Economy. Furthermore, Dozens Of Proofs Are Preceded By 'Scratch Work' Or A Proof Sketch To Give Students A Bigpicture View And An Explanation Of How They Would Come Up With It On Their Own.This Book Covers Intuitive Proofs, Direct Proofs, Sets, Induction, Logic, The Contrapositive, Contradiction, Functions And Relations. The Text Aims To Make The Ideas Visible, And Contains Over 200 Illustrations. The Writing Is Relaxed And Conversational, And Includes Periodic Attempts At Humor.This Text Is Also An Introduction To Higher Mathematics. This Is Done Inpart Through The Chosen Examples And Theorems. Furthermore, Following Every Chapter Is An Introduction To An Area Of Math. These Include Ramsey Theory, Number Theory, Topology, Sequences, Real Analysis, Big Data, Game Theory, Cardinality And Group Theory.After Every Chapter Are 'Protips,' Which Are Short Thoughts On Things I Wish I Had Known When I Took My Introtoproofs Class. They Include Finer Comments On The Material, Study Tips, Historical Notes, Comments On Mathematical Culture, And More. Also, After Each Chapters Exercises Is An Introduction To An Unsolved Problem In Mathematics.In The First Appendix We Discuss Some Further Proof Methods, The Second Appendix Is A Collection Of Particularly Beautiful Proofs, And The Third Is Some Writing Advice.

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Frequently Asked Questions

  • Q: What is the focus of 'Proofs: A Long-Form Mathematics Textbook'? A: The textbook is designed to help students understand mathematical proofs through commentary, motivation, and explanations rather than just definitions and theorems.
  • Q: Who is the author of this mathematics textbook? A: The author of 'Proofs: A Long-Form Mathematics Textbook' is Jay Cummings.
  • Q: What topics are covered in this textbook? A: The book covers a range of topics including intuitive proofs, direct proofs, sets, induction, logic, functions, relations, and introduces areas like Ramsey theory, number theory, and topology.
  • Q: How does this textbook differ from traditional math texts? A: Unlike traditional textbooks, this one includes extensive commentary, pre-proof sketches, and tips, focusing on understanding rather than brevity.
  • Q: Is this textbook suitable for beginners in mathematics? A: Yes, the textbook serves as an introduction to higher mathematics, making it suitable for beginners.
  • Q: What is the binding type of this textbook? A: The textbook is available in paperback binding.
  • Q: How many pages does 'Proofs: A Long-Form Mathematics Textbook' contain? A: The textbook consists of 511 pages.
  • Q: When was this textbook published? A: The textbook was published on January 19, 2021.
  • Q: Does this book provide exercises and solutions? A: Yes, each chapter includes exercises along with introductions to unsolved problems in mathematics.
  • Q: What is the condition of the book when purchased? A: The book is in new condition when purchased.