Introduction to Mathematical Proof: A Transition to Advanced Mathematics, Second Edition
(Sprache: Englisch)
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,...
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Produktinformationen zu „Introduction to Mathematical Proof: A Transition to Advanced Mathematics, Second Edition “
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 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.
Inhaltsverzeichnis zu „Introduction to Mathematical Proof: A Transition to Advanced Mathematics, Second Edition “
Logic. Deductive Mathematical Systems and Proofs. Set Theory. Relations. Functions. Mathematical Induction. Cardinalities of Sets. Proofs from Real Analysis. Proofs from Group Theory.
Bibliographische Angaben
- Autor: Charles Roberts
- 412 Seiten, Gebunden, Englisch
- Verlag: CRC PR INC
- ISBN-10: 1482246872
- ISBN-13: 9781482246872
- Erscheinungsdatum: 01.01.2015
Sprache:
Englisch
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