Analytic Inequalities

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Analytic Inequalities by Nicholas D. Kazarinoff, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Nicholas D. Kazarinoff ISBN: 9780486798172
Publisher: Dover Publications Publication: August 19, 2014
Imprint: Dover Publications Language: English
Author: Nicholas D. Kazarinoff
ISBN: 9780486798172
Publisher: Dover Publications
Publication: August 19, 2014
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Real Analysis by Nicholas D. Kazarinoff
Cover of the book Easy Tatting by Nicholas D. Kazarinoff
Cover of the book Medieval Tales and Stories by Nicholas D. Kazarinoff
Cover of the book The Hound of the Baskervilles by Nicholas D. Kazarinoff
Cover of the book Nat Turner's Slave Rebellion by Nicholas D. Kazarinoff
Cover of the book The Supreme Court and the Constitution by Nicholas D. Kazarinoff
Cover of the book Functionals of Finite Riemann Surfaces by Nicholas D. Kazarinoff
Cover of the book The Magical Land of Noom by Nicholas D. Kazarinoff
Cover of the book The Great Physicists from Galileo to Einstein by Nicholas D. Kazarinoff
Cover of the book American Drawings and Prints by Nicholas D. Kazarinoff
Cover of the book Neo-Classical Furniture Designs by Nicholas D. Kazarinoff
Cover of the book Slave Narratives of the Underground Railroad by Nicholas D. Kazarinoff
Cover of the book Iron Horses by Nicholas D. Kazarinoff
Cover of the book Native American Mythology by Nicholas D. Kazarinoff
Cover of the book Julius Caesar by Nicholas D. Kazarinoff
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy