An Introduction to Mathematical Reasoning

Eccles Peter J.

ISBN 10: 0521592690 / ISBN 13: 9780521592697

Published by Cambridge University Press, 1998

About this Item

Druck auf Anfrage Neuware - Printed after ordering - The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear 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. 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. The book presents mathematics as a continually developing subject. 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.

Seller Inventory # 9780521592697

Bibliographic Details

• Title: An Introduction to Mathematical Reasoning
• Publisher: Cambridge University Press
• Publication Date: 1998
• Language: English
• ISBN 10: 0521592690
• ISBN 13: 9780521592697
• Binding: Buch
• Condition: Neu
• Dimensions: 235W x 157H x 26D millimeters 235 millimeters width by 157 millimeters height by 26 millimeters depth
• Weight: 741 grams

About this title

Synopsis

This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. 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 all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.

Book Description

The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. Over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.