An Introduction to Abstract Mathematics

Robert J. Bond; William J. Keane

ISBN 10: 1577665392 / ISBN 13: 9781577665397

Published by Waveland Pr Inc, 2007

About this Item

A copy that has been read, remains in good condition. All pages are intact, and the cover is intact. The spine and cover show signs of wear. Pages can include notes and highlighting and show signs of wear, and the copy can include "From the library of" labels or previous owner inscriptions. 100% GUARANTEE! Shipped with delivery confirmation, if youâ re not satisfied with purchase please return item for full refund. Ships via media mail.

Seller Inventory # OTV.1577665392.G

Bibliographic Details

• Title: An Introduction to Abstract Mathematics
• Publisher: Waveland Pr Inc
• Publication Date: 2007
• Language: English
• ISBN 10: 1577665392
• ISBN 13: 9781577665397
• Binding: Soft cover
• Condition: good

About this title

Synopsis

Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofs--all while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant discipline--its long, fascinating history continually intersects with territory still uncharted and questions still in need of answers. The authors' extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higher-level mathematics courses. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Chapters 1-5 introduce the fundamentals of abstract mathematics and chapters 6-8 apply the ideas and techniques, placing the earlier material in a real context. Readers' interest is continually piqued by the use of clear explanations, practical examples, discussion and discovery exercises, and historical comments.

About the Authors

Robert J. Bond taught mathematics at Boston College.

William J. Keane taught mathematics at Boston College.