Differential Analysis: Differentiation, Differential Equations and Differential Inequalities

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T. M. Flett

Differential Analysis

Differentiation, Differential Equations and Differential Inequalities

T. M. Flett

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English

Cambridge University Press
20 November 2008

Mathematics & Sciences; Differential calculus & equations

T. M. Flett was a Professor of Pure Mathematics at the University of Sheffield from 1967 until his death in 1976. This book, which he had almost finished, has been edited for publication by Professor J. S. Pym. This text is a treatise on the differential calculus of functions taking values in normed spaces. The exposition is essentially elementary, though on are occasions appeal is made to deeper results. The theory of vector-valued functions of one real variable is particularly straightforward, and this forms the substance of the initial chapter. A large part of the book is devoted to applications. An extensive study is made of ordinary differential equations. Extremum problems for functions of a vector variable lead to the calculus of variations and general optimisation problems. Other applications include the geometry of tangents and the Newton-Kantorovich method in normed spaces. The three historical notes show how the masters of the past (Cauchy, Peano…) created the subject by examining in depth the evolution of certain theories and proofs.

By: T. M. Flett
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm, Spine: 2mm
Weight: 540g
ISBN: 9780521090308
ISBN 10: 052109030X
Pages: 368
Publication Date: 20 November 2008
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Preface; Introduction; 1. Differentiation of functions of one real variable; 2. Ordinary differential equations; 3. The Fréchet differential; 4. The Gâteaux and Hadmard variations and differentials; Appendices.