Reading, Writing, and Proving : A Closer Look at Mathematics

Gorkin, Pamela, Daepp, Ulrich

ISBN 10: 0387008349 / ISBN 13: 9780387008349

Published by Springer, 2003

About this Item

Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.

Seller Inventory # 5444379-6

Bibliographic Details

• Title: Reading, Writing, and Proving : A Closer Look at Mathematics
• Publisher: Springer
• Publication Date: 2003
• Language: English
• ISBN 10: 0387008349
• ISBN 13: 9780387008349
• Binding: Hardcover
• Edition: 1st Edition.
• Condition: Good
• Weight: 1.543 pounds

About this title

Synopsis

This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.

From the Back Cover

 This book, which is based on Pólya's method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics. The book begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics. It ends by providing projects for independent study.

Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them. Special emphasis is placed on reading carefully and writing well. The authors have included a wide variety of examples, exercises with solutions, problems, and over 40 illustrations, chosen to emphasize these goals. Historical connections are made throughout the text, and students are encouraged to use the rather extensive bibliography to begin making connections of their own. While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wanting to bridge the gap between the standard course in calculus and one in analysis.