An Introduction to Abstract Mathematics - Softcover

Robert J. Bond; William J. Keane

Softcover

ISBN 10: 1577665392 ISBN 13: 9781577665397

Publisher: Waveland Pr Inc, 2007

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 this title

About the Author:

Robert J. Bond is a graduate of the College for Financial Planning. Prior to becoming a Certified Financial Planner, he worked in a variety of fields related to finance, including commercial banker, mortgage agent, and real estate broker. Bob has taught at UCLA, CSULA, American Institute for Continuing Education and for the College for Financial Planning. His past publications include: Personal Finance, California Real Estate Principles, Real Estate Practice, Real Estate Finance and many more.

Robert Bond developed the telecourse and was the on-camera instructor and consultant for the popular series, "Real Estate and You." His professional designations and licenses have included Registered Principal (NASD), Variable Annuities Agent, Real Estate Broker, Fire and Casualty Agent, NASD Series 7 and 63, and Registered Investment Advisor. Boston College

About this edition

• Publisher: Waveland Pr Inc
• Publication date: 2007
• ISBN 10: 1577665392
• ISBN 13: 9781577665397
• Binding: Paperback
• Number of pages: 323