About this product

Product Identifiers

PublisherWiley & Sons, Incorporated, John

ISBN-100471510041

ISBN-139780471510048

eBay Product ID (ePID)950409

Product Key Features

Number of Pages264 Pages

Publication NameHow to Read and Do Proofs : an Introduction to Mathematical Thought Process

LanguageEnglish

SubjectLogic

Publication Year1990

TypeTextbook

AuthorDaniel Solow

Subject AreaMathematics

FormatTrade Paperback

Dimensions

Item Height0.7 in

Item Weight12.4 Oz

Item Length9.1 in

Item Width6 in

Additional Product Features

Edition Number2

Intended AudienceCollege Audience

LCCN89-070592

Dewey Edition20

IllustratedYes

Dewey Decimal511.3

Table Of ContentThe Truth of It All. The Forward-Backward Method. On Definitions and Mathematical Terminology. Quantifiers I: The Construction Method. Quantifiers II: The Choose Method. Quantifiers III: Induction. Quantifiers IV: Specialization. Quantifiers V: Nested Quantifiers. The Contradiction Method. The Contrapositive Method. Nots of Nots Lead to Knots. Special Proof Techniques. Summary. Appendices. Solutions to Exercises. Glossary of Mathematical Symbols. Index.

SynopsisHow to Read and Do Proofs Describes All of the Fundamental Techniques used in mathematical proofs and illustrates each with an example requiring only high school mathematics Simplifies Complex Proofs by showing how a complicated proof can be understood as a sequence of applications of the individual techniques Unravels the Mystery of "Condensed" Proofs that are found in textbooks and journal articles by teaching you to identify which techniques are being used and how they are being applied in the particular proof Gets You Started in the right direction by showing how the form of the problem under consideration can often be used to choose a successful proof technique, This straightforward guide describes the main methods used to prove mathematical theorems. Shows how and when to use each technique such as the contrapositive, induction and proof by contradiction. Each method is illustrated by step-by-step examples. The Second Edition features new chapters on nested quantifiers and proof by cases, and the number of exercises has been doubled with answers to odd-numbered exercises provided. This text will be useful as a supplement in mathematics and logic courses. Prerequisite is high-school algebra., A brief text which names and describes techniques that are used in all mathematical proofs, How to Read and Do Proofs teaches students how and when to use each technique. Useful as a supplement to a maths course, or as a book of general interest to anyone with a background of school maths, the book provides a structure and procedure for students that makes learning easier, and enables them to understand all mathematical proofs, regardless of subject matter, as a sequence of applications of individual proof techniques.

LC Classification NumberQA9.S577 1990