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Introduction to Mathematical Proofs
Hardcover
Series: Textbooks in Mathematics, Book 26
ISBN13: 9781482246872
Publisher: CRC Press
Published: Jan 1 2015
Pages: 416
Weight: 1.55
Height: 0.90 Width: 6.40 Depth: 9.30
Language: English
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.
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