The Nuts and Bolts of Proofs

Antonella Cupillari

149 pages, parution le 01/04/2001 (2^eme édition)

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Résumé

This book leads readers through a progressive explanation of what mathematical proofs are, why they are important, and how they work, along with a presentation of basic techniques used to construct proofs. The Second Edition presents more examples, more exercises, a more complete treatment of mathematical induction and set theory, and it incorporates suggestions from students and colleagues. Since the mathematical concepts used are relatively elementary, the book can be used as a supplement in any post-calculus course.

This title has been successfully class-tested for years. There is an index for easier reference, a more extensive list of definitions and concepts, and an updated bibliography. An extensive collection of exercises with complete answers is provided, enabling students to practice on their own. Additionally, there is a set of problems without solutions to make it easier for instructors to prepare homework assignments.

Contents

List of symbols
Preface
Introduction and basic terminology
General suggestions
Some basic techniques used in proving a theorem of the form "if A, then B"
Special types of theorems
Review exercises
Exercises without solutions
Collection of "proofs"
Solutions for exercises at the end of the sections and the review exercises
Other books on the subject of proofs and mathematical writing
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Apress
Auteur(s)	Antonella Cupillari
Parution	01/04/2001
Édition	2^eme édition
Nb. de pages	149
Couverture	Broché
Poids	268g
Intérieur	Noir et Blanc
EAN13	9780121994518
ISBN13	978-0-12-199451-8