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How to Read and Do Proofs: An Introdu..., Solow, Daniel

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Item specifics

Condition
Very Good: A book that has been read but is in excellent condition. No obvious damage to the cover, ...
Book Title
How to Read and Do Proofs: An Introduction to Mathematical Tho...
ISBN
0471510041
EAN
9780471510048
Release Title
How to Read and Do Proofs: An Introduction to Mathematical Tho...
Artist
Solow, Daniel
Brand
N/A
Colour
N/A

About this product

Product Identifiers

Publisher
Wiley & Sons, Incorporated, John
ISBN-10
0471510041
ISBN-13
9780471510048
eBay Product ID (ePID)
950409

Product Key Features

Number of Pages
264 Pages
Publication Name
How to Read and Do Proofs : an Introduction to Mathematical Thought Process
Language
English
Subject
Logic
Publication Year
1990
Type
Textbook
Author
Daniel Solow
Subject Area
Mathematics
Format
Trade Paperback

Dimensions

Item Height
0.7 in
Item Weight
12.4 Oz
Item Length
9.1 in
Item Width
6 in

Additional Product Features

Edition Number
2
Intended Audience
College Audience
LCCN
89-070592
Dewey Edition
20
Illustrated
Yes
Dewey Decimal
511.3
Table Of Content
The 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.
Synopsis
How 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 Number
QA9.S577 1990

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