Calculus

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Calculus

Title:

Calculus

Author:

Binmore, K. G. (Kenneth George), 1940-

ISBN:

9780521775410

Personal Author:

Binmore, K. G. (Kenneth George), 1940-

Publication Information:

Cambridge, UK ; New York, NY, USA : Cambridge University Press, 2001.

Physical Description:

xiii, 554 p. : col. ill. ; 25 cm.

Contents:

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

Subject Term:

Calculus.

Added Author:

Davies, Joan, 1941-

Electronic Access:

Publisher description http://www.loc.gov/catdir/description/cam022/2002280693.html

Copies:

Available:*

Library	Material Type	Item Barcode	Shelf Number	Copy	Status
Searching... 1:IIEMSA	1:GEN-BOOK	33168020378283	515 B613C 2001	1	Searching... Unknown

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Summary

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.