Calculus: Concepts and Methods
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Edition number 2 Rev ed
- Publisher Cambridge University Press
- Date of Publication 7 February 2002
- ISBN 9780521775410
- Binding Paperback
- No. of pages567 pages
- Size 246x190x29 mm
- Weight 1200 g
- Language English
- Illustrations 649 b/w illus. 345 exercises 0
Categories
Short description:
A gentle, thorough and beautifully illustrated introduction to calculus for students from a range of disciplines.
MoreLong description:
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.
'... well illustrated and has a good supply of examples and exercises ... an excellent textbook for courses in intermediate calculus for students of mathematics as well as economics.' Zentralblatt f&&&252;r Mathematik
Table of Contents:
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.
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