Calculus

Concepts and Methods

Ken Binmore, John Davies

554 pages, parution le 30/01/2002

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Résumé

The pebbles used in ancient abacuses gave their name to the calculus us, which today is a fundamental tool in business, economics, engineering and the sciences. This book is a no- nonsense introduction to the subject, with an emphasis on practical problem solving as well as a clear explanation of the underlying concepts. starting almost from scratch, readers are gently led from single to multivariate calculus and simple differential and difference equations.

Throughout the book, new concepts are carefully motivated and lucidly developed. Ideas from univariate calculus and linear algebra are rehearsed, often from a new perspective, as and when needed. They are reinforced in the one-variable case, which is studied in detail before generalisations to several variables are attempted. Although the re are no theorems or formal p roofs, this is a serious book in which conceptual issues are never dodged, but explained carefully using a variety of geometric devices and illustrations of the techniques. in consequence, there is a wealth of diagrams, worked examples and exercises. The book is also un usual in offering a range of applications in economics, as well as more conventional scientific examples.

Beautiful and accurate full-colour illustrations will aid students in the visualisation of complex mathematical objects. This adds to the accessibility of the text, which will appeal to a wide audience among students of mathematics, economics and science.

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Sommaire

Preliminaries
Matrices and vectors
Functions of one variable
Functions of several variables
Stationary points
Vector-valued functions
Optimization of scalar-valued functions
Inverse functions
Implicit functions
Differentials
Sums and integrals
Multiple integrals
Differential and difference equations of order one
Complex numbers
Higher order differential and difference equations.

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Ken Binmore, John Davies
Parution	30/01/2002
Nb. de pages	554
Format	18,8 x 24,5
Couverture	Broché
Poids	1266g
Intérieur	Quadri
EAN13	9780521775410
ISBN13	978-0-521-77541-0