Methods of Mathematical Economics

Methods of Mathematical Economics
Author: Joel N. Franklin
Publisher: Springer
Total Pages: 307
Release: 2013-06-29
Genre: Mathematics
ISBN: 3662253178

In 1924 the firm of Julius Springer published the first volume of Methods of Mathematical Physics by Richard Courant and David Hilbert. In the preface, Courant says this: Since the seventeenth century, physical intuition has served as a vital source for mathematical problems and methods. Recent trends and fashions have, however, weakened the connection between mathematics and physics; mathematicians, turning away from the roots of mathematics in intuition, have concentrated on refinement and emphasized the postulational side of mathematics, and at times have overlooked the unity of their science with physics and other fields. In many cases, physicists have ceased to appreciate the attitudes of mathematicians. This rift is unquestionably a serious threat to science as a whole; the broad stream of scientific development may split into smaller and smaller rivulets and dry out. It seems therefore important to direct our efforts toward reuniting divergent trends by clarifying the common features and interconnections of many distinct and diverse scientific facts. Only thus can the student attain some mastery of the material and the basis be prepared for further organic development of research. The present work is designed to serve this purpose for the field of mathe matical physics . . . . Completeness is not attempted, but it is hoped that access to a rich and important field will be facilitated by the book. When I was a student, the book of Courant and Hilbert was my bible.

Foundations of Mathematical Economics

Foundations of Mathematical Economics
Author: Michael Carter
Publisher: MIT Press
Total Pages: 678
Release: 2001-10-26
Genre: Business & Economics
ISBN: 9780262531924

This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.

Mathematical Methods and Models for Economists

Mathematical Methods and Models for Economists
Author: Angel de la Fuente
Publisher: Cambridge University Press
Total Pages: 630
Release: 2000-01-28
Genre: Business & Economics
ISBN: 9780521585293

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

Mathematical Methods of Game and Economic Theory

Mathematical Methods of Game and Economic Theory
Author: Jean-Pierre Aubin
Publisher: Courier Corporation
Total Pages: 658
Release: 2007-01-01
Genre: Mathematics
ISBN: 048646265X

Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.

Mathematical Economics

Mathematical Economics
Author: Kelvin Lancaster
Publisher: Courier Corporation
Total Pages: 450
Release: 2012-10-10
Genre: Mathematics
ISBN: 0486145042

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.

Mathematical Methods in Economics and Social Choice

Mathematical Methods in Economics and Social Choice
Author: Norman Schofield
Publisher: Studies in Economic Theory
Total Pages: 320
Release: 2003-02-12
Genre: Business & Economics
ISBN:

In recent years, the usual optimization techniques, which have proved so useful in microeconomic theory, have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behavior of general economic and political systems. These developments have necessarily resulted in an increase in the degree of formalism in the publications in the academic journals. This formalism can often deter graduate students. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.

Lectures on the Mathematical Method in Analytical Economics

Lectures on the Mathematical Method in Analytical Economics
Author: Jacob T. Schwartz
Publisher: Courier Dover Publications
Total Pages: 305
Release: 2018-11-14
Genre: Mathematics
ISBN: 0486828034

An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.

Schaum's Outline of Introduction to Mathematical Economics, 3rd Edition

Schaum's Outline of Introduction to Mathematical Economics, 3rd Edition
Author: Edward Dowling
Publisher: McGraw Hill Professional
Total Pages: 553
Release: 2011-09-28
Genre: Study Aids
ISBN: 0071705074

The ideal review for your intro to mathematical economics course More than 40 million students have trusted Schaum’s Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum’s Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice. Outline format supplies a concise guide to the standard college courses in mathematical economics 710 solved problems Clear, concise explanations of all mathematical economics concepts Supplements the major bestselling textbooks in economics courses Appropriate for the following courses: Introduction to Economics, Economics, Econometrics, Microeconomics, Macroeconomics, Economics Theories, Mathematical Economics, Math for Economists, Math for Social Sciences Easily understood review of mathematical economics Supports all the major textbooks for mathematical economics courses

A First Course in Mathematical Economics

A First Course in Mathematical Economics
Author: Sunanda Roy
Publisher: Cambridge Scholars Publishing
Total Pages: 364
Release: 2020-03-17
Genre: Business & Economics
ISBN: 1527548538

The book studies a set of mathematical tools and techniques most necessary for undergraduate economics majors as they transition from largely non-technical first-year principles courses into calculus-based upper-level courses in economics. The book’s presentation style places more emphasis on the intuition underlying the mathematical concepts and results discussed and less on proofs and technical details. Its discussion topics have been chosen in terms of their immediate usefulness for beginners, while examples and applications are drawn from material that is familiar from introductory economics courses.

Mathematical Methods and Economic Theory

Mathematical Methods and Economic Theory
Author: Anjan Mukherji
Publisher: OUP India
Total Pages: 0
Release: 2011-02-03
Genre: Business & Economics
ISBN: 9780198069973

This textbook for postgraduate students learning mathematical methods in economics provides a comprehensive account of mathematics required to analyse and solve problems of choice encountered by economists. It looks at a wide variety of decision-making problems, both static and dynamic, in various contexts and provides mathematical foundations for the relevant economic theory.