Introduction to Mathematical Proofs by Charles E. Roberts Jr. - 9781482246872

CRC Press

Introduction to Mathematical ProofsAuthor(s): Charles E. Roberts Jr.\nFormat: Hardback\nPublisher: Taylor & Francis Inc, United States\nImprint: Chapman & Hall/CRC\nISBN-13: 9781482246872, 978-1482246872\nSynopsis\nIntroduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs.\n\nUnlike 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. \n\nIt 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 proof.