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

Sommario

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.

Info autore

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

Riassunto

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

Dettagli sul prodotto

• Autori: Charles Roberts, Roberts Fred
• Editore: Taylor & Francis Ltd.
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 14.10.2024
• EAN: 9781032920238
• ISBN: 978-1-0-3292023-8
• Pagine: 414
• Serie: Textbooks in Mathematics
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Fondamenti; MATHEMATICS / General, MATHEMATICS / Functional Analysis, MATHEMATICS / Set Theory, Discrete Mathematics, Calculus & mathematical analysis, Calculus and mathematical analysis, Set theory