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Further Mathematics for Economic Analysis is a companion volume to the successful and highly regarded Essential Mathematics for Economic Analysis. 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.This book is intended for advanced undergraduate and graduate students of economics whose mathematical requirements go beyond the material usually taught in undergraduate courses.
Product Description
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. Features + Benefits
Systematic treatment of the calculus of variations, optimal control theory and dynamic programming.
Several early chapters review and extend material in the previous book on
elementary matrix algebra, multivariable calculus, and static optimization.
New! Coverage on optimisation transferred from Essentials of Economic analysis
New! Extended answers to problems are available online in a new Students Manual along with additional practice problems.
Backcover
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
· Students Manual with extended worked answers to selected problems in the book
· Instructors 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 Students Manual with extended answers broken down step by step to selected problems in the text.
PREFACE
1. Topics in linear algebra
2. Multivariable calculus
3. Static optimization
4. Topics in integration
5. Differential equations i: First order equations
6. Differential equations ii: Second order equations systems in the plane
7. Differential equations iii: Highest-order equations
8. Calculus of variations
9. Control theory i: Basic techniques
10. Control theory ii: Extensions
11. Difference equations
12. Discrete time optimization
13. Topology and separation
14. Correspondences. Fixed points
APPENDIX 1: COMPLETENESS AND CONVERGENCE IN R
APPENDIX 2: TRIGONOMETRIC FUNCTIONS
ANSWERS
REFERENCES
INDEX
Product Description
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. Features + Benefits
Systematic treatment of the calculus of variations, optimal control theory and dynamic programming.
Several early chapters review and extend material in the previous book on
elementary matrix algebra, multivariable calculus, and static optimization.
New! Coverage on optimisation transferred from Essentials of Economic analysis
New! Extended answers to problems are available online in a new Students Manual along with additional practice problems.
Backcover
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
· Students Manual with extended worked answers to selected problems in the book
· Instructors 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 Students Manual with extended answers broken down step by step to selected problems in the text.
PREFACE
1. Topics in linear algebra
2. Multivariable calculus
3. Static optimization
4. Topics in integration
5. Differential equations i: First order equations
6. Differential equations ii: Second order equations systems in the plane
7. Differential equations iii: Highest-order equations
8. Calculus of variations
9. Control theory i: Basic techniques
10. Control theory ii: Extensions
11. Difference equations
12. Discrete time optimization
13. Topology and separation
14. Correspondences. Fixed points
APPENDIX 1: COMPLETENESS AND CONVERGENCE IN R
APPENDIX 2: TRIGONOMETRIC FUNCTIONS
ANSWERS
REFERENCES
INDEX