Introduction to Mathematical Reasoning Eccles Peter J. University of Manchester
Introduction to Mathematical Reasoning Eccles Peter J. University of Manchester The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university…
Specifikacia Introduction to Mathematical Reasoning Eccles Peter J. University of Manchester
Introduction to Mathematical Reasoning Eccles Peter J. University of Manchester
The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. This is achieved by exploring set theory, combinatorics and number theory, topics which include many fundamental ideas which are part of the tool kit of any mathematician. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics.
The book presents mathematics as a continually developing subject. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the classic proofs. Material meeting the needs of readers from a wide range of backgrounds is included.
Over 250 problems include questions to interest and challenge the most able student as well as plenty of routine exercises to help familiarize the reader with the basic ideas.