# 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.

## Call number in WMU's library

QA9.54 .C48 2008 (Waldo Library, WMU Authors Collection, First Floor)

## 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.

## Recommended Citation

Chartrand, Gary; Polimeni, Albert D.; and Zhang, Ping, "Mathematical Proofs: A Transition to Advanced Mathematics (2nd Edition)" (2008). *All Books and Monographs by WMU Authors*. 287.

https://scholarworks.wmich.edu/books/287