Ken Binmore

Calculus: Concepts and Methods (eBook, PDF)

• Format: PDF

Produktbeschreibung

The pebbles used in ancient abacuses gave their name to the calculus, which today is a fundamental tool in business, economics, engineering and the sciences. This introductory book takes readers gently from single to multivariate calculus and simple differential and difference equations. Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples. Ideas from univariate calculus and linear algebra are covered as needed, often from a new perspective. They are reinforced in the two-dimensional case, which is studied in detail before generalisation to higher dimensions. Although there are no theorems or formal proofs, this is a serious book in which conceptual issues are explained carefully using numerous geometric devices and a wealth of worked examples, diagrams and exercises. Mathematica has been used to generate many beautiful and accurate, full-colour illustrations to help students visualise 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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 7. Februar 2002
• Englisch
• ISBN-13: 9781139632751
• Artikelnr.: 39266580

Inhaltsangabe

Preface
Preliminaries
1. Matrices and vectors
2. Functions of one variable
3. Functions of several variables
4. Stationary points
5. Vector-valued functions
6. Optimization of scalar-valued functions
7. Inverse functions
8. Implicit functions
9. Differentials
10. Sums and integrals
11. Multiple integrals
12. Differential and difference equations of order one
13. Complex numbers
14. Higher order differential and difference equations.