PREFACE1. Topics in linear algebra2. Multivariable calculus3. Static optimization4. Topics in integration5. Differential equations i: First order equations6. Differential equations ii: Second order equations systems in the plane7. Differential equations iii: Highest-order equations8. Calculus of variations9. Control theory i: Basic techniques10. Control theory ii: Extensions11. Difference equations12. Discrete time optimization13. Topology and separation14. Correspondences. Fixed pointsAPPENDIX 1: COMPLETENESS AND CONVERGENCE IN RAPPENDIX 2: TRIGONOMETRIC FUNCTIONSANSWERSREFERENCESINDEX

Further Mathematics for Economic Analysis 2nd edition takes you to the next level beyond the widely used companion volume Essential Mathematics for Economic Analysis.  You can progressively extend your previous mathematical knowledge through its systematic and appropriately rigorous treatment of topics like multivariable calculus, constrained static optimization, the calculus of variations, optimal control theory, and dynamic programming Further Mathematics for Economic Analysis 2nd edition is distinctive because of its emphasis on dynamic optimization, an important yet often underplayed tool in areas such as resource and environmental economics and growth theory. It is written in such a way that many chapters can be read in isolation, so you are free to pick the topics most relevant to you.  In this new edition, several chapters have been extensively rewritten, and numerous other improvements made. New to this Edition: ·         Answers to almost all of the 600 problems in the book for students to self check ·         Student’s Manual with extended worked answers to selected problems in the book ·         Instructor’s Manual now contains a large range of additional supplementary problems, simple to advanced, suitable for use in examinations The book is ideal for advanced undergraduate and graduate students of economics who have a basic undergraduate course in calculus and linear algebra.  It presents most of the mathematical tools they will encounter in their advanced courses in economics.  It is also ideally suited for self-study because of the extensive answers it offers to problems throughout the book. Peter Hammond is currently the Marie Curie Professor of Economics at the University of Warwick, and an Emeritus Professor at Stanford University.  His many research publications are mostly theoretical, but extend over several different fields of economics.   For many years he taught courses in mathematics for economists and in mathematical economics at Stanford, as well as earlier at the University of Essex and the London School of Economics. Knut Sydsæter, Atle Seierstad, and Arne Strøm all have extensive experience in teaching mathematics for economists in the Department of Economics at the University of Oslo. With Peter Berck at Berkeley, Knut Sydsæter and Arne Strøm have written a widely used formula book, Economists’ Mathematical Manual (Springer, 2005). The 1987 North-Holland book Optimal Control Theory for Economists by Atle Seierstad and Knut Sydsæter is still a standard reference in the field. Visit www.pearsoned.co.uk/sydsaeter to access the supplementary resources for this text including a new Student’s Manual with extended answers broken down step by step to selected problems in the text.  

This book 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.

Answers to almost all 600 problems in the book for student self check Student’s Manual with extended worked answers to selected problems in the book Instructor’s Manual now contains a large range of additional supplementary problems, simple to advance, suitable for use in examinations.