Further Mathematics for Economic Analysis

●Description
It finds the right balance between mathematics and economic examples, providing a text that is demanding in level and broad ranging in content, whilst remaining accessible and interesting to its target audience.
●Features
1.Systematic treatment of dynamic programming, the calculus of variations, and optimal control theory which, although losing prominence in economics teaching is still useful for students.
2.Early chapters review and extend elementary matrix algebra, multivariable calculus and static optimisation, giving students revision practice.
3.Coverage of multiple integration, as well as ordinary difference and differential equations, including systems of equations.
4.Includes a chapter on elementary topology in R^n, set-valued functions, and fixed-point theorems.
5.Each chapter includes worked examples and problems, ranging in difficulty from quite easy to more challenging. Suggested solutions to odd-numbered problems are provided.
6.Excellent approach and writing style which has been thoroughly class-tested. Readers can be assured that they are getting a very accurate, accessible text.

PREFACE
Ch.1 Topics in linear algebra
Ch.2 Multivariable calculus
Ch.3 Static optimization
Ch.4 Topics in integration
Ch.5 Differential equations i: First order equations
Ch.6 Differential equations ii: Second order equations systems in the plane
Ch.7 Differential equations iii: Highest-order equations
Ch.8 Calculus of variations
Ch.9 Control theory i: Basic techniques
Ch.10 Control theory ii: Extensions
Ch.11 Difference equations
Ch.12 Discrete time optimization
Ch.13 Topology and separation
Ch.14 Correspondences. Fixed points
APPENDIX 1 Completeness and Convergence in R
APPENDIX 2 Trigonometric Functions
ANSWERS
REFERENCES
INDEX