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This book provides a systematic exposition of mathematical economics, presenting and surveying existing theories and showing ways in which they can be extended. One of its strongest features is that it emphasises the unifying structure of economic theory in such a way as to provide the reader with the technical tools and methodological approaches necessary for undertaking original research. The author offers explanations and discussion at an accessible and intuitive level providing illustrative examples. He begins the work at an elementary level and progessively takes the reader to the frontier of current research. This second edition brings the reader fully up to date with recent research in the field.

Graduate-level text provides complete and rigorous expositions of economic models analyzed primarily from the point of view of their mathematical properties, followed by relevant mathematical reviews. Part I covers optimizing theory; Parts II and III survey static and dynamic economic models; and Part IV contains the mathematical reviews, which range fromn linear algebra to point-to-set mappings.

It has been 20 years since the last edition of this classic text. Kevin Wainwright, a long time user of the text (British Columbia University and Simon Fraser University), has executed the perfect revision--he has updated examples, applications and theory without changing the elegant, precise presentation style of Alpha Chiang. Readers will find the wait was worthwhile.

This text offers a comprehensive presentation of the mathematics required to tackle problems in economic analyses. To give a better understanding of the mathematical concepts, the text follows the logic of the development of mathematics rather than that of an economics course. The only prerequisite is high school algebra, but the book goes on to cover all the mathematics needed for undergraduate economics. It is also a useful reference for graduate students. After a review of the fundamentals of sets, numbers, and functions, the book covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics. To develop the student's problem-s...

The articles in this proceedings volume reflect the current trends in the theory of approximation, optimization and mathematical economics, and include numerous applications. The book will be of interest to researchers and graduate students involved in functional analysis, approximation theory, mathematical programming and optimization, game theory, mathematical finance and economics.

Launhardt stands first in the long line of economists from Dupuit in the 1830s to Abba P. Lerner in the 1930s who recognized that the pricing of public utilities presents a special problem, requiring public subventions if the welfare of consumers is to be served. Mark Blaug, University of London and University of Buckingham, UK The Mathematische is Launhardt s claim to a prominent place in the history of economic analysis. . . Launhardt achieves more in twenty pages than Böhm-Bawerk in about five hundred. Jurg Niehans, University of Bern, Switzerland It is clear that this work is important to an understanding of the origins of welfare economics. Donald Rutherford, The Economic Journal This ...

A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

Matrix Games, Programming, and Mathematical Economics deals with game theory, programming theory, and techniques of mathematical economics in a single systematic theory. The principles of game theory and programming are applied to simplified problems related to economic models, business decisions, and military tactics. The book explains the theory of matrix games and some of the tools used in the analysis of matrix games. The text describes optimal strategies for matrix games which have two basic properties, as well as the construction of optimal strategies. The book investigates the structure of sets of solutions of discrete matrix games, with emphasis on the class of games whose solutions ...

This book is designed to meet the requirements of a wide range of students, keeping in view the varied applications of mathematical techniques in different areas of Economics, Commerce, Finance and Management, at the Undergraduate and Post Graduate levels. The subject matter has been presented in a very simple and lucid manner. A large number of questions from various University examination papers have been included to provide a range of questions on different topics of the subjects. Exercises given at the end of each topic will provide a source of practice to the students and make them more confident, assuring better performance in the Examination. Teachers in the subject may also find it absorbing and different from other books, in respect of approach, style and lucidity in explanation supported by appropriate diagrams.