An Introduction to Mathematical Proofs - Couverture rigide

Loehr, Nicholas A.

 
9780367338237: An Introduction to Mathematical Proofs
Couverture rigide
ISBN 10 : 0367338238 ISBN 13 : 9780367338237
Editeur : CRC Press, 2019

Synopsis

An Introduction to Mathematical Proofs presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No prerequisites are needed beyond high-school algebra.

New material is presented in small chunks that are easy for beginners to digest. The author offers a friendly style without sacrificing mathematical rigor. Ideas are developed through motivating examples, precise definitions, carefully stated theorems, clear proofs, and a continual review of preceding topics.

Features

  • Study aids including section summaries and over 1100 exercises
  • Careful coverage of individual proof-writing skills
  • Proof annotations and structural outlines clarify tricky steps in proofs
  • Thorough treatment of multiple quantifiers and their role in proofs
  • Unified explanation of recursive definitions and induction proofs, with applications to greatest common divisors and prime factorizations

About the Author:

Nicholas A. Loehr is an associate professor of mathematics at Virginia Technical University. He has taught at College of William and Mary, United States Naval Academy, and University of Pennsylvania. He has won many teaching awards at three different schools. He has published over 50 journal articles. He also authored three other books for CRC Press, including Combinatorics, Second Edition, and Advanced Linear Algebra.

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

À propos de l?auteur

Nicholas A. Loehr is an associate professor of mathematics at Virginia Technical University. He has taught at College of William and Mary, United States Naval Academy, and University of Pennsylvania. He has won many teaching awards at three different schools. He has published over 50 journal articles. He also authored three other books for CRC Press, including Combinatorics, Second Edition, and Advanced Linear Algebra.

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

Éditeur
CRC Press
Date d'édition
2019
Langue
anglais
ISBN 10 
0367338238
ISBN 13 
9780367338237
Reliure
Relié
Nombre de pages
412
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9781032475226: An Introduction to Mathematical Proofs

Edition présentée

ISBN 10 :  1032475226 ISBN 13 :  9781032475226
Editeur : CRC Press, 2023
Couverture souple