Further Mathematics for Economic Analysis (Financial Times) Paperback – 10 July 2008
by: Prof Knut Sydsaeter，Prof Peter Hammond，Prof Atle Seierstad，Prof Arne Strom
ASIN: 0273713280
Publisher: Financial Times/ Prentice Hall; 2nd edition (10 July 2008)
Language: English
Paperback: 632 pages
ISBN-10: 9780273713289
ISBN-13: 9780273713289
Book Description
Synopsis
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.
From the Back Cover
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.
Contents
Preface
1—Topics in Linear Algebra
2—Multivariable Calculus
3—Static Optimization
4—Topics in Integration
5—Differential Equations I: First-Order Equations in One Variable
6—Differential Equations II: Second-Order Equations and Systems in the Plane
7—Differential Equations III: Higher-Order Equations
8—Calculus of Variations
9—Control Theory: Basic Techniques
10—Control Theory with Many Variables
11—Difference Equations
12—Discrete Time Optimization
13—Topology and Separation
14—Correspondences and Fixed Points
Appendix A—Sets, Completeness, and Convergence
Appendix B—Trigonometric Functions
Answers
References
Index
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