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 Copperplate Calligraphy by Nicholas D. Kazarinoff
Cover of the book Encyclopedia of Embroidery Stitches, Including Crewel by Nicholas D. Kazarinoff
Cover of the book A Refresher Course in Mathematics by Nicholas D. Kazarinoff
Cover of the book Essential Modern Greek Grammar by Nicholas D. Kazarinoff
Cover of the book Prelude to Mathematics by Nicholas D. Kazarinoff
Cover of the book Variational Principles in Dynamics and Quantum Theory by Nicholas D. Kazarinoff
Cover of the book The Influence of Bones and Muscles on Form by Nicholas D. Kazarinoff
Cover of the book Network Analysis and Synthesis by Nicholas D. Kazarinoff
Cover of the book Introduction to Differential Geometry for Engineers by Nicholas D. Kazarinoff
Cover of the book In the Heart of the Rockies by Nicholas D. Kazarinoff
Cover of the book The Narrative of Arthur Gordon Pym of Nantucket by Nicholas D. Kazarinoff
Cover of the book How to Draw Animals by Nicholas D. Kazarinoff
Cover of the book The Moment of Creation by Nicholas D. Kazarinoff
Cover of the book Death in Venice & A Man and His Dog by Nicholas D. Kazarinoff
Cover of the book The Mysterious Mickey Finn 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