Mathematical Economics (Dover Books on Computer Science)

Discover a comprehensive and authoritative resource in the field of mathematical economics with this classic volume, highly regarded by experts. As noted by Mathematics Reviews, it is \"an excellent book which should find wide use,\" making it an essential addition to the library of graduate students and professional economists alike.

This volume masterfully combines a modern textbook for graduate courses with a valuable reference guide for practicing economists. It offers a unified and carefully structured presentation of various techniques of economic analysis, divided into two main parts: chapters on mathematical economics and corresponding mathematical reviews. To ensure clarity and ease of use, the economic analysis is separated from the purely mathematical material, allowing flexible application of the content as a teaching or reference tool.

The chapters and reviews are designed as a self-contained system, with reviews providing all necessary mathematical background for the chapters. Conversely, the chapters demonstrate the application of nearly all techniques outlined in the reviews. While an extensive mathematical background is not required, it is assumed that the reader has some familiarity with elementary calculus, facilitating a smooth learning curve.

The economic analysis section covers a broad spectrum of topics, including linear and nonlinear optimizing techniques, input-output and activity analysis, neoclassical and set-theoretic static economic models, modern general equilibrium theory, the Von Neumann and other models of balanced growth, efficient growth and turnpike theorems, as well as modern stability analysis. These areas are presented with rigor and clarity, making complex concepts accessible.

The mathematical reviews encompass essential topics such as set theory, linear algebra, matrices, linear equations and inequalities, convex sets and functions, continuous functions and mappings—including neoclassical calculus methods—topological ideas, differential and difference equations, calculus of variations, and related subjects. Every effort has been made to provide a complete and rigorous exposition, with the exception of topological methods, which are approached in a descriptive and heuristic manner. The text omits no essential proofs or steps in the arguments, ensuring a thorough understanding of the material.

• Brand: Dover Publications
• Product Type: ABIS_BOOK
• Series Title: Dover Books on Computer Science
• Author: Kelvin Lancaster
• Genre: Mathematics
• Binding: Paperback
• Language: English
• Publication Date: 2011