About this product

Product Identifiers

PublisherHachette Learning

ISBN-100340676531

ISBN-139780340676530

eBay Product ID (ePID)640077

Product Key Features

Number of Pages288 Pages

LanguageEnglish

Publication NameNumbers and Proofs

SubjectGeneral, Logic, Applied

Publication Year1997

TypeTextbook

Subject AreaMathematics

AuthorReg Allenby

FormatTrade Paperback

Dimensions

Item Height0.5 in

Item Weight16 Oz

Item Length9.4 in

Item Width6.6 in

Additional Product Features

Intended AudienceCollege Audience

LCCN00-703226

Dewey Edition21

IllustratedYes

Dewey Decimal511.3

Table Of ContentThe need for proof * Statements and connectives * True or false? * Sets, negations, notations and functions * Proofs....for all * There exists....proofs * The principle of mathematical induction * The integers and rational numbers * The rational numbers and the real numbers * Real numbers and complex numbers * Guessing, analogy and transformation * Generalisation and specialisation * Fallacies and paradoxes * A mixed bag * Solutions appendix * Answers to exercises * References.

Synopsis'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems concerning mainly numbers (real, rational, complex and integers). An indispensable guide to all students of mathematics. Each proof is preceded by a discussion which is intended to show the reader the kind of thoughts they might have before any attempt proof is made. Established proofs which the student is in a better position to follow then follow. Presented in the author's entertaining and informal style, and written to reflect the changing profile of students entering universities, this book will prove essential reading for all seeking an introduction to the notion of proof as well as giving a definitive guide to the more common forms. Stressing the importance of backing up "truths" found through experimentation, with logically sound and watertight arguments, it provides an ideal bridge to more complex undergraduate maths.

LC Classification NumberQA9.54.A55 1997