Trending Bestseller

Theorems, Corollaries, Lemmas, and Methods of Proof

Richard J. Rossi

No reviews yet Write a Review
Hardback
29-June-2006
$331.00
Ships in 3-5 business days
Hurry up! Current stock:

A hands-on introduction to the tools needed for rigorous and theoretical mathematical reasoning

Successfully addressing the frustration many students experience as they make the transition from computational mathematics to advanced calculus and algebraic structures, Theorems, Corollaries, Lemmas, and Methods of Proof equips students with the tools needed to succeed while providing a firm foundation in the axiomatic structure of modern mathematics.

This essential book:

  • Clearly explains the relationship between definitions, conjectures, theorems, corollaries, lemmas, and proofs
  • Reinforces the foundations of calculus and algebra
  • Explores how to use both a direct and indirect proof to prove a theorem
  • Presents the basic properties of real numbers/li>
  • Discusses how to use mathematical induction to prove a theorem
  • Identifies the different types of theorems
  • Explains how to write a clear and understandable proof
  • Covers the basic structure of modern mathematics and the key components of modern mathematics

A complete chapter is dedicated to the different methods of proof such as forward direct proofs, proof by contrapositive, proof by contradiction, mathematical induction, and existence proofs. In addition, the author has supplied many clear and detailed algorithms that outline these proofs.

Theorems, Corollaries, Lemmas, and Methods of Proof uniquely introduces scratch work as an indispensable part of the proof process, encouraging students to use scratch work and creative thinking as the first steps in their attempt to prove a theorem. Once their scratch work successfully demonstrates the truth of the theorem, the proof can be written in a clear and concise fashion. The basic structure of modern mathematics is discussed, and each of the key components of modern mathematics is defined. Numerous exercises are included in each chapter, covering a wide range of topics with varied levels of difficulty.

Intended as a main text for mathematics courses such as Methods of Proof, Transitions to Advanced Mathematics, and Foundations of Mathematics, the book may also be used as a supplementary textbook in junior- and senior-level courses on advanced calculus, real analysis, and modern algebra.

This product hasn't received any reviews yet. Be the first to review this product!

$331.00
Ships in 3-5 business days
Hurry up! Current stock:

Theorems, Corollaries, Lemmas, and Methods of Proof

$331.00

Description

A hands-on introduction to the tools needed for rigorous and theoretical mathematical reasoning

Successfully addressing the frustration many students experience as they make the transition from computational mathematics to advanced calculus and algebraic structures, Theorems, Corollaries, Lemmas, and Methods of Proof equips students with the tools needed to succeed while providing a firm foundation in the axiomatic structure of modern mathematics.

This essential book:

  • Clearly explains the relationship between definitions, conjectures, theorems, corollaries, lemmas, and proofs
  • Reinforces the foundations of calculus and algebra
  • Explores how to use both a direct and indirect proof to prove a theorem
  • Presents the basic properties of real numbers/li>
  • Discusses how to use mathematical induction to prove a theorem
  • Identifies the different types of theorems
  • Explains how to write a clear and understandable proof
  • Covers the basic structure of modern mathematics and the key components of modern mathematics

A complete chapter is dedicated to the different methods of proof such as forward direct proofs, proof by contrapositive, proof by contradiction, mathematical induction, and existence proofs. In addition, the author has supplied many clear and detailed algorithms that outline these proofs.

Theorems, Corollaries, Lemmas, and Methods of Proof uniquely introduces scratch work as an indispensable part of the proof process, encouraging students to use scratch work and creative thinking as the first steps in their attempt to prove a theorem. Once their scratch work successfully demonstrates the truth of the theorem, the proof can be written in a clear and concise fashion. The basic structure of modern mathematics is discussed, and each of the key components of modern mathematics is defined. Numerous exercises are included in each chapter, covering a wide range of topics with varied levels of difficulty.

Intended as a main text for mathematics courses such as Methods of Proof, Transitions to Advanced Mathematics, and Foundations of Mathematics, the book may also be used as a supplementary textbook in junior- and senior-level courses on advanced calculus, real analysis, and modern algebra.

Customers Also Viewed

Buy Books Online at BookLoop

Discover your next great read at BookLoop, Australiand online bookstore offering a vast selection of titles across various genres and interests. Whether you're curious about what's trending or searching for graphic novels that captivate, thrilling crime and mystery fiction, or exhilarating action and adventure stories, our curated collections have something for every reader. Delve into imaginative fantasy worlds or explore the realms of science fiction that challenge the boundaries of reality. Fans of contemporary narratives will find compelling stories in our contemporary fiction section. Embark on epic journeys with our fantasy and science fiction titles,

Shop Trending Books and New Releases

Explore our new releases for the most recent additions in romance books, fantasy books, graphic novels, crime and mystery books, science fiction books as well as biographies, cookbooks, self help books, tarot cards, fortunetelling and much more. With titles covering current trends, booktok and bookstagram recommendations, and emerging authors, BookLoop remains your go-to local australian bookstore for buying books online across all book genres.

Shop Best Books By Collection

Stay updated with the literary world by browsing our trending books, featuring the latest bestsellers and critically acclaimed works. Explore titles from popular brands like Minecraft, Pokemon, Star Wars, Bluey, Lonely Planet, ABIA award winners, Peppa Pig, and our specialised collection of ADHD books. At BookLoop, we are committed to providing a diverse and enriching reading experience for all.