The Tools of Mathematical Reasoning
Author:   Tamara J. Lakins
Publisher:   American Mathematical Society
ISBN:  

9781470428990


Pages:   217
Publication Date:   30 October 2016
Format:   Hardback
Availability:   In Print   Availability explained
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The Tools of Mathematical Reasoning


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Overview

This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis. The importance of the logical structure of a mathematical statement as a framework for finding a proof of that statement, and the proper use of variables, is an early and consistent theme used throughout the book.

Full Product Details

Author:   Tamara J. Lakins
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.568kg
ISBN:  

9781470428990


ISBN 10:   1470428997
Pages:   217
Publication Date:   30 October 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Language, logic, and proof Techniques of proof Induction Sets Functions An introduction to number theory Equivalence relations and partitions Finite and infinite sets Foundations of analysis Writing mathematics Bibliography

Reviews

Lakins' book is a nice, solid exposition of the tools students need as they transition to abstract mathematical thinking. - Michele Intermont, MAA Reviews


Author Information

Tamara J. Lakins Allegheny College, Meadville, PA.

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