Bridge to Abstract Mathematics - Rilegato

Oberste-Vorth, Ralph W.; Mouzakitis, Aristides; Lawrence, Bonita A.

Rilegato

ISBN 10: 0883857790 ISBN 13: 9780883857793

Casa editrice: The Mathematical Association of America, 2013

Riassunto

Mathematics is a science that concerns theorems that must be proved within a system of axioms and definitions. With this book, the mathematical novice will learn how to prove theorems and explore the universe of abstract mathematics. The introductory chapters familiarise the reader with some fundamental ideas, including the axiomatic method, symbolic logic and mathematical language. This leads to a discussion of the nature of proof, along with various methods for proving statements. The subsequent chapters present some foundational topics in pure mathematics, including detailed introductions to set theory, number systems and calculus. Through these fascinating topics, supplemented by plenty of examples and exercises, the reader will hone their proof skills. This complete guide to proof is ideal preparation for a university course in pure mathematics, and a valuable resource for educators.

Su questo libro

Descrizione del libro:

This book is a complete guide to mathematical proof. Through plentiful examples and exercises, the mathematical novice will learn how to prove theorems and explore some fascinating areas of abstract mathematics. This book is ideal preparation for a university course in pure mathematics, and a valuable resource for educators.

L'autore:

Ralph W. Oberste-Vorth earned his PhD in mathematics from Cornell University. In 2002, he became the Chairman of the Department of Mathematics at Marshall University. In 2011, he accepted a position as the Chairman of the Department of Mathematics and Computer Science at Indiana State University.

Su questa edizione

• Editore: The Mathematical Association of America
• Data di pubblicazione: 2013
• ISBN 10: 0883857790
• ISBN 13: 9780883857793
• Rilegatura: Copertina rigida
• Numero di pagine: 249