Analytic Inequalities - Softcover

Kazarinoff, Nicholas D

Softcover

ISBN 10: 1258767767 ISBN 13: 9781258767761

Publisher: Literary Licensing, LLC, 2013

Synopsis

Mathematical analysis is largely a systematic study and exploration of inequalities — but for students the study of inequalities often remains a foreign country, difficult of access. This book is a passport to that country, offering a background on inequalities that will prepare undergraduates (and even high school students) to cope with the concepts of continuity, derivative, and integral.
Beginning with explanations of the algebra of inequalities and conditional inequalities, the text introduces a pair of ancient theorems and their applications. Explorations of inequalities and calculus cover the number e, examples from the calculus, and approximations by polynomials. The final sections present modern theorems, including Bernstein's proof of the Weierstrass approximation theorem and the Cauchy, Bunyakovskii, Hölder, and Minkowski inequalities. Numerous figures, problems, and examples appear throughout the book, offering students an excellent foundation for further studies of calculus.

About this title

About the Author:

Nicholas D. Kazarinoff was Professor of Mathematics at the University of Michigan and the State University of New York at Buffalo.

About this edition

• Publisher: Literary Licensing, LLC
• Publication date: 2013
• ISBN 10: 1258767767
• ISBN 13: 9781258767761
• Binding: Paperback
• Number of pages: 96