
Introduction to Mathematical Proofs
A Transition to Advanced Mathematics, Second Edition
Charles E. Roberts Jr.(Author)
Chapman & Hall/CRC (Publisher)
2nd Edition
Published on 17. December 2014
Book
Hardback
416 pages
978-1-4822-4687-2 (ISBN)
Article not available for order
Description
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.
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.
More details
Series
Edition
2nd edition
Language
English
Place of publication
Boca Raton
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Postgraduate
Illustrations
51 s/w Abbildungen, 49 s/w Tabellen
49 Tables, black and white; 51 Illustrations, black and white
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 27 mm
Weight
787 gr
ISBN-13
978-1-4822-4687-2 (9781482246872)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Charles E. Roberts Jr. | Miklos Bona
Introduction to Mathematical Proofs
A Transition to Advanced Mathematics
Book
approx. 12/2026
3rd Edition
CRC Press
€126.38
Not yet published
Additional editions

Charles E. Roberts Jr.
Introduction to Mathematical Proofs
Book
10/2024
2nd Edition
Chapman & Hall/CRC
€81.00
Shipment within 10-20 days

Charles E. Roberts Jr.
Introduction to Mathematical Proofs
A Transition to Advanced Mathematics, Second Edition
E-Book
12/2014
2nd Edition
Chapman & Hall/CRC
€78.99
Available for download

Charles E. Roberts Jr.
Introduction to Mathematical Proofs
E-Book
12/2014
2nd Edition
Chapman and Hall
€78.99
Available for download
Previous edition

Book
07/2009
1st Edition
Chapman & Hall/CRC
€112.84
Article exhausted; check for reprint
Person
Charles Roberts, PhD, professor, Department of Math and Computer Science, Indiana State University, Terre Haute, USA
Content
Logic. Deductive Mathematical Systems and Proofs. Set Theory. Relations. Functions. Mathematical Induction. Cardinalities of Sets. Proofs from Real Analysis. Proofs from Group Theory. Appendix Reading and Writing Mathematical Proofs. Answers to Selected Exercises. References. Index.