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Reading, Writing, and Proving: A Closer Look at Mathematics by Ulrich Daepp, Pamela Gorkin (Paperback, 2013)

About this product

About this product

Product Information

This book, which is based on Polya'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 and ends with suggested projects for independent study. Students will follow Polya's four step approach: analyzing the problem, devising a plan to solve the problem, carrying out that plan, and then determining the implication of the result. In addition to the Polya approach to proofs, this book places special emphasis on reading proofs carefully and writing them well. The authors have included a wide variety of problems, examples, illustrations and exercises, some with hints and solutions, designed specifically to improve the student's ability to read and write proofs. 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.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781461429159
eBay Product ID (ePID)
189600003

Product Key Features

Author
Ulrich Daepp, Pamela Gorkin
Publication Name
Reading, Writing, and Proving: a Closer Look at Mathematics
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2013
Type
Textbook
Number of Pages
378 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
599g

Additional Product Features

Title_Author
Pamela Gorkin, Ulrich Daepp
Series Title
Undergraduate Texts in Mathematics
Country/Region of Manufacture
United States

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