methods and modelling Anthony, Martin. creator Biggs, Norman. text enk Cambridge [England] New York Cambridge University Press 1996 monographic eng

print

394 p. : ill. ; 24 cm. "Without expecting any particular background of the reader, this book covers the following mathematical topics with frequent reference to applications in economics and finance, Functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. Throughout, the stress is firmly on how the mathematics relates to economics, and this is illustrated with copious examples and exercises that will foster depth of understanding. Each chapter has three parts: the main text, where key concepts are developed; a section of further worked examples, where sample problems are fully solved; a summary of the chapter together with a selection of problems for the reader to attempt." "For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth."--Jacket. 1. Mathematical models in economics -- 2. Mathematical terms and notations -- 3. Sequences, recurrences, limits -- 4. The elements of finance -- 5. The cobweb model -- 6. Introduction to calculus -- 7. Some special functions -- 8. Introduction in optimisation -- 9. The derivative in economics -- I -- 10. The derivative in economics -- II -- 11. Partial derivatives -- 12. Applications of partial derivatives -- 13. Optimisation in two variables -- 14. Vectors, preferences and convexity -- 15. Matrix algebra -- 16. Linear equations -- I -- 17. Linear equations -- II -- 18. Inverse matrices -- 19. The input-output model -- 20. Determinants -- 21. Constrained optimisation -- 22. Lagrangeans and the consumer -- 23. Second-order recurrence equations -- 24. Macroeconomic applications -- 25. Areas and integrals -- 26. Techniques of integration -- 27. First-order differential equations -- 28. Second-order differential equations. Martin Anthony and Norman Biggs. Includes index. Includes index. Economics, Mathematical Finance Mathematical models HB135 .A62 1996 330.0151 0521551137 9780521551137 0521559138 (pbk.) 9780521559133 (pbk.) 96001581 http://catdir.loc.gov/catdir/description/cam027/96001581.html http://catdir.loc.gov/catdir/toc/cam026/96001581.html http://catdir.loc.gov/catdir/description/cam027/96001581.html http://catdir.loc.gov/catdir/toc/cam026/96001581.html DLC 960207 20150408114102.0 34191031 eng