Analysis: A Gateway to Understanding Mathematics - Softcover

Seán Dineen

Softcover

ISBN 10: 9811208751 ISBN 13: 9789811208751

Publisher: World Scientific Publishing Company, 2012

Synopsis

This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.

About this title

Review

I particularly enjoyed Chapter 10 on the construction of the real numbers using sections of the dyadic rationals and a 'bisection principle'. Notable features of the book are the numerous well thought out, interesting exercises at the end of each chapter, with solutions provided at the end of the book. --Bulletin of the Irish Mathematical Society

The problems are truly instructional and a sufficient number of them are supplied with solutions. Overall, this book is highly recommended as a refreshingly different introduction to undergraduate mathematics. --MAA Reviews

This book may be used as a text in a standard one variable calculus or analysis course, however it might also be very useful for better understanding of the fundamentals of the mathematical analysis. --Zentralblatt MATH

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2012
• Language: English
• ISBN 10: 9811208751
• ISBN 13: 9789811208751
• Binding: Paperback
• Number of pages: 320