Further Mathematics For Economic Analysis

Further Mathematics for Economic Analysis By Sydster, Hammond, Seierstad and Strom Further Mathematics for Economic Analysis is a companion volume to the highly regarded Essential Mathematics for Economic Analysis by Knut Sydster and Peter Hammond. The new book is intended for advanced undergraduate and graduate economics students whose requirements go beyond the material usually taught in undergraduate mathematics courses for economists. It presents most of the mathematical tools that are required for advanced courses in economic theory both micro and macro. This second volume has the same qualities that made the previous volume so successful. These include mathematical reliability, an appropriate balance between mathematics and economic examples, an engaging writing style, and as much mathematical rigour as possible while avoiding unnecessary complications. Like the earlier book, each major section includes worked examples, as well as problems that range in difficulty from quite easy to more challenging. Suggested solutions to odd-numbered problems are provided. Key Features 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. Later chapters present multiple integration, as well as ordinary differential and difference equations, including systems of such equations. Other chapters include material on elementary topology in Euclidean space, correspondences, and fixed point theorems. A website is available which will include solutions to even-numbered problems (available to instructors), as well as extra problems and proofs of some of the more technical results. Peter Hammond is Professor of Economics at Stanford University. He is a prominent theorist whose many research publications extend over several different fields of economics. For many years he has 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 Sydster, Atle Seierstad , and Arne Strom 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 Sydster and Arne Strom have written a widely used formula book, Economists Mathematical Manual (Springer, 2000). The 1987 North-Holland book Optimal Control Theory for Economists by Atle Seierstad and Knut Sydster is still a standard reference in the field.Seierstad, Atle is the author of 'Further Mathematics For Economic Analysis', published 2005 under ISBN 9780273655763 and ISBN 0273655760.