A Logical Introduction to Proof | Taschenbuch

Cover: 9781489990990 | A Logical Introduction to Proof | Daniel W. Cunningham | Taschenbuch

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Identifies the important topics in logic that mathematicians use in their proofs

Methodically presents the key strategies used in mathematical proofs

Each proof strategy is illustrated by a variety of theorems concerning the natural, rational and real numbers

An introduction to group theory and real analysis that presents proof strategies for dealing with the core concepts introduced in these subjects

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2014
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xvi 356 S.
ISBN-13:	9781489990990
ISBN-10:	1489990992
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Cunningham, Daniel W.
Hersteller:	Humana Springer Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 21 mm
Von/Mit:	Daniel W. Cunningham
Erscheinungsdatum:	15.10.2014
Gewicht:	0,563 kg