Home » Analytic Inequalities (Dover Books on Mathematics) by Nicholas D. Kazarinoff
Analytic Inequalities (Dover Books on Mathematics) Nicholas D. Kazarinoff

Analytic Inequalities (Dover Books on Mathematics)

Nicholas D. Kazarinoff

Published August 19th 2014
ISBN :
Kindle Edition
89 pages
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 About the Book 

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 onMoreMathematical 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 Bernsteins 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.