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Logical Introduction to Proof by Daniel W. Cunningham (2012, Hardcover)

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About this product

Product Identifiers

PublisherSpringer New York

ISBN-101461436303

ISBN-139781461436300

eBay Product ID (ePID)114142620

Product Key Features

Number of PagesXvi, 356 Pages

Publication NameLogical Introduction to Proof

LanguageEnglish

SubjectGeneral, Logic

Publication Year2012

TypeTextbook

Subject AreaMathematics

AuthorDaniel W. Cunningham

FormatHardcover

Dimensions

Item Height0.3 in

Item Weight239.9 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2012-939054

ReviewsFrom the reviews: "Cunningham (Buffalo State, SUNY) focuses on the strategies for different proof techniques. ... The well-written text is consistent in its focus, which should help students. The book includes sufficient, appropriate exercises. ... contains ample notes to guide students through most of the exercises. Whether used for a course or as a reference for students learning proof techniques, this book is certainly worthy of consideration. Summing Up: Highly recommended. Lower-division undergraduates through graduate students." (J. R. Burke, Choice, Vol. 51 (1), September, 2013)

TitleLeadingA

Dewey Edition23

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal511.36

Table Of ContentPreface.- The Greek Alphabet.- 1. Propositional Logic.- 2. Predicate Logic.- 3. Proof Strategies and Diagrams.- 4. Mathematical Induction.- 5. Set Theory.- 6. Functions.- 7. Relations.- 8. Core Concepts in Abstract Algebra.- 9. Core Concepts in Real Analysis.- A Summary of Strategies.- References.- List of Symbols. Index.

SynopsisThis unique textbook uses a 'logic-first' approach to train and guide undergraduates through transition courses bridging calculus and advanced mathematics. It also offers a valuable introduction to group theory and real analysis, including proof strategies., The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a tool for showing students how to write correct mathematical proofs.

LC Classification NumberQA1-939