Number Theory

Download E-books Reading, Writing, and Proving : A Closer Look at Mathematics PDF

By Ulrich Daepp, Pamela Gorkin

This ebook, that is in line with Pólya's approach to challenge fixing, aids scholars of their transition from calculus (or precalculus) to higher-level arithmetic. The booklet starts by way of offering loads of assistance on the way to procedure definitions, examples, and theorems in mathematics and ends with suggested projects for self sufficient study.

 

Students will stick with Pólya's 4 step approach: analyzing the matter, devising a plan to unravel the matter, undertaking that plan, and then determining the implication of the outcome. furthermore to the Pólya approach to proofs, this publication places special emphasis on examining proofs carefully and writing them good. The authors have incorporated a large choice of problems, examples, illustrations and exercises, some with hints and strategies, designed specifically to increase the student's skill to read and write proofs.

 

Historical connections are made in the course of the textual content, and scholars are inspired to exploit the relatively large bibliography to start making connections in their personal. whereas usual texts during this zone organize scholars for destiny classes in algebra, this booklet additionally contains chapters on sequences, convergence, and metric areas for these eager to bridge the distance among the traditional path in calculus and one in analysis.

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