Introduction to Mathematical Proofs: A Transition to Advanced Mathematics - Couverture rigide

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Roberts, Charles

 
9781482246872: Introduction to Mathematical Proofs: A Transition to Advanced Mathematics
Couverture rigide
ISBN 10 : 1482246872 ISBN 13 : 9781482246872
Editeur : Chapman & Hall/CRC, 2014

Synopsis

Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs.

Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers.

It also covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. In the appendix, the author includes some basic guidelines to follow when writing proofs.

This new edition includes more than 125 new exercises in sections titled More Challenging Exercises. Also, numerous examples illustrate in detail how to write proofs and show how to solve problems. These examples can serve as models for students to emulate when solving exercises.

Several biographical sketches and historical comments have been included to enrich and enliven the text. Written in a conversational style, yet maintaining the proper level of mathematical rigor, this accessible book teaches students to reason logically, read proofs critically, and write valid mathematical proofs. It prepares them to succeed in more advanced mathematics courses, such as abstract algebra and analysis.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Charles Roberts, PhD, professor, Department of Math and Computer Science, Indiana State University, Terre Haute, USA

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Chapman & Hall/CRC
Date d'édition
2014
Langue
anglais
ISBN 10 
1482246872
ISBN 13 
9781482246872
Reliure
Relié
Numéro d'édition
2
Nombre de pages
416
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9781032920238: Introduction to Mathematical Proofs

Edition présentée

ISBN 10 :  1032920238 ISBN 13 :  9781032920238
Editeur : Chapman & Hall/CRC, 2024
Couverture souple