Ken BinmoreCambridge University PressEdition: 2Rev Ed, 10/26/2011EAN 9780521775410, ISBN10: 0521775418Paperback, 568 pages, 24.6 x 19 x 2.9 cmLanguage: EnglishThe 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.PrefacePreliminaries1. Matrices and vectors2. Functions of one variable3. Functions of several variables4. Stationary points5. Vector-valued functions6. Optimization of scalar-valued functions7. Inverse functions8. Implicit functions9. Differentials10. Sums and integrals11. Multiple integrals12. Differential and difference equations of order one13. Complex numbers14. Higher order differential and difference equations.'... 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 für Mathematik
