Differential Analysis by T M Flett

Differential Analysis by T M Flett

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Summary

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.

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Differential Analysis by T M Flett

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.
SKU Unavailable
ISBN 13 9780521090308
ISBN 10 052109030X
Title Differential Analysis
Author T M Flett
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 2008-11-20
Number of pages 368
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.