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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.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2013 Forfatter Aristides Mouzakitis, Bonita A. Lawrence, Ralph W. Oberste-Vorth
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9780883857793
Antall sider 249 Dimensjoner 17,7cm x 25,3cm x 2cm
Vekt 590 gram Leverandør Bertram Trading Ltd
Emner og form Mathematical foundations