Boas Primer Of ∗real Functions∗ 3ed (Carus Mathematical Monographs S.) - Hardcover

BOAS, RP

Hardcover

ISBN 10: 0883850222 ISBN 13: 9780883850220

Publisher: John Wiley & Sons, 1982

Synopsis

This is a revised, updated, and augmented edition of a classic Carus monograph with a new chapter on integration and its applications. Earlier editions covered sets, metric spaces, continuous functions, and differentiable functions. To that, this edition adds sections on measurable sets and functions and the Lebesgue and Stieltjes integrals. The book retains the informal chatty style of the previous editions. It presents a variety of interesting topics, many of which are not commonly encountered in undergraduate textbooks, such as the existence of continuous everywhere-oscillating functions; two functions having equal derivatives, yet not differing by a constant; application of Stieltjes integration to the speed of convergence of infinite series. For readers with a background in calculus, the book is suitable either for self-study or for supplemental reading in a course on advanced calculus or real analysis. Students of mathematics will find here the sense of wonder that was associated with the subject in its early days.

About this title

Review

'It is a great pleasure to see the new, the fourth edition of this gem which is well-known all over the world where mathematicians live. This is an important work especially for teachers and even for (trained) students.' Acta. Sci. Math.

Book Description

This is a revised, updated, and augmented edition of a classic Carus monograph with a new chapter on integration and its applications. Earlier editions covered sets, metric spaces, continuous functions, and differentiable functions. This fourth edition adds sections on measurable sets and functions and the Lebesgue and Stieltjes integrals. A variety of interesting and unusual topics are presented in an informal chatty style.

Edition details

• Publisher: John Wiley & Sons
• Publication date: 1982
• Language: English
• ISBN 10: 0883850222
• ISBN 13: 9780883850220
• Binding: Hardcover
• Edition number: 3
• Number of pages: 244