Introduction to Mathematical Proofs

This book is designed to prepare students for higher mathematics by focusing on the development of theorems and proofs. Beginning with logic, the text discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers. It covers elementary topics in set theory, explores various properties of

List of contents

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.

About the author

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

Summary

This book is designed to prepare students for higher mathematics by focusing on the development of theorems and proofs. Beginning with logic, the text discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers. It covers elementary topics in set theory, explores various properties of

Product details

• Authors: Charles Roberts
• Publisher: Taylor and Francis
• Languages: English
• Product format: Paperback / Softback
• Released: 14.10.2024
• EAN: 9781032920238
• ISBN: 978-1-032-92023-8
• No. of pages: 414
• Weight: 770 g
• Illustrations: schwarz-weiss Illustrationen
• Series: Textbooks in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Basic principles; MATHEMATICS / General, MATHEMATICS / Functional Analysis, MATHEMATICS / Set Theory, Discrete Mathematics, Calculus & mathematical analysis, Calculus and mathematical analysis, Set theory