Mathematical Proofs: A Transition to Advanced Mathematics (2nd Edition)

Title

Mathematical Proofs: A Transition to Advanced Mathematics (2nd Edition)

Department

Mathematics

Document Type

Book

Files

Description

Mathematical Proofs: A Transition to Advanced Mathematics, 2/e,prepares students for the more abstract mathematics courses that follow calculus. This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, providing solid introductions to relations, functions, and cardinalities of sets.KEY TOPICS: Communicating Mathematics, Sets, Logic, Direct Proof and Proof by Contrapositive, More on Direct Proof and Proof by Contrapositive, Existence and Proof by Contradiction, Mathematical Induction, Prove or Disprove, Equivalence Relations, Functions, Cardinalities of Sets, Proofs in Number Theory, Proofs in Calculus, Proofs in Group Theory.MARKET: For all readers interested in advanced mathematics and logic.

ISBN

978-0321390530

Publication Date

2008

Publisher

Boston

City

Pearson/Addison Wesley

Keywords

Proof theory, textbooks.

Disciplines

Applied Mathematics | Mathematics

Citation for published book

Chartrand, Gary, Albert D. Polimeni, and Ping Zhang. Mathematical Proofs: A Transition to Advanced Mathematics. Boston: Pearson/Addison Wesley, 2008. Print.