A Logical Introduction to Proof

Paperback Engels 2014 2013e druk 9781489990990
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Samenvatting

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.

Specificaties

ISBN13:9781489990990
Taal:Engels
Bindwijze:paperback
Aantal pagina's:356
Uitgever:Springer New York
Druk:2013

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Inhoudsopgave

<p>Preface.- 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.</p>

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        A Logical Introduction to Proof