Mathematical Methods and Models for Economists

Mathematical Methods and Models for Economists PDF Author: Angel de la Fuente
Publisher: Cambridge University Press
ISBN: 9780521585293
Category : Business & Economics
Languages : en
Pages : 630

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

Mathematical Methods and Models for Economists

Mathematical Methods and Models for Economists PDF Author: Angel de la Fuente
Publisher: Cambridge University Press
ISBN: 9780521585125
Category : Business & Economics
Languages : en
Pages : 342

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

Mathematical Methods and Models for Economists

Mathematical Methods and Models for Economists PDF Author: Angel de la Fuente
Publisher: Cambridge University Press
ISBN: 1139643339
Category : Business & Economics
Languages : en
Pages : 630

Book Description
This book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics. The topics covered include an introduction to analysis in metric spaces, differential calculus, comparative statics, convexity, static optimization, dynamical systems and dynamic optimization. The book includes a large number of applications to standard economic models and over two hundred fully worked-out problems.

Foundations of Mathematical Economics

Foundations of Mathematical Economics PDF Author: Michael Carter
Publisher: MIT Press
ISBN: 9780262531924
Category : Business & Economics
Languages : en
Pages : 678

Book Description
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.

Economic Dynamics: Methods and Models

Economic Dynamics: Methods and Models PDF Author: G Gandolfo
Publisher: Elsevier
ISBN: 0444601228
Category : Technology & Engineering
Languages : en
Pages : 584

Book Description
Economic Dynamics: Methods and Models aims to give a simple but comprehensive treatment of mathematical methods used in economic dynamics and show how they are utilized to build and to analyze dynamic models. The text also focuses on methods, and every mathematical technique introduced is followed by its application to selected models. The book is divided into three different parts. Part I: Different Equations discusses general principles; first-order, second-order, higher-order equations; simultaneous systems; and their economic applications. Part II: Differential Equations also discusses the same areas as those in Part I, but instead features differential equations, as what the section name suggests. Part III: More Advanced Material covers comparative statistics and the comparative principle; stability of equilibrium and Liapunov's second method; and linear mixed differential and difference equations, as well as its other related topics. The text is recommended for mathematicians and economists who have an idea on advanced mathematics and would like to know more about its applications in economics.

Mathematical Economics

Mathematical Economics PDF Author: Kelvin Lancaster
Publisher: Courier Corporation
ISBN: 0486145042
Category : Mathematics
Languages : en
Pages : 450

Book Description
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

Mathematical Methods in Economics PDF Author: Norman Schofield
Publisher: Routledge
ISBN: 1351140426
Category : Business & Economics
Languages : en
Pages : 239

Book Description
Originally published in 1984. Since the logic underlying economic theory can only be grasped fully by a thorough understanding of the mathematics, this book will be invaluable to economists wishing to understand vast areas of important research. It provides a basic introduction to the fundamental mathematical ideas of topology and calculus, and uses these to present modern singularity theory and recent results on the generic existence of isolated price equilibria in exchange economies.

Lectures on the Mathematical Method in Analytical Economics

Lectures on the Mathematical Method in Analytical Economics PDF Author: Jacob T. Schwartz
Publisher: Courier Dover Publications
ISBN: 0486828034
Category : Mathematics
Languages : en
Pages : 305

Book Description
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.

Mathematical Methods and Models in Economic Planning, Management and Budgeting

Mathematical Methods and Models in Economic Planning, Management and Budgeting PDF Author: Galimkair Mutanov
Publisher: Springer
ISBN: 3662451425
Category : Business & Economics
Languages : en
Pages : 364

Book Description
This book describes a system of mathematical models and methods that can be used to analyze real economic and managerial decisions and to improve their effectiveness. Application areas include: management of development and operation budgets, assessment and management of economic systems using an energy entropy approach, equation of exchange rates and forecasting foreign exchange operations, evaluation of innovative projects, monitoring of governmental programs, risk management of investment processes, decisions on the allocation of resources, and identification of competitive industrial clusters. The proposed methods and models were tested on the example of Kazakhstan’s economy, but the generated solutions will be useful for applications at other levels and in other countries. Regarding your book "Mathematical Methods and Models in Economics", I am impressed because now it is time when "econometrics" is becoming more appreciated by economists and by schools that are the hosts or employers of modern economists. ... Your presented results really impressed me. John F. Nash, Jr., Princeton University, Nobel Memorial Prize in Economic Sciences The book is within my scope of interest because of its novelty and practicality. First, there is a need for realistic modeling of complex systems, both natural and artificial that conclude computer and economic systems. There has been an ongoing effort in developing models dealing with complexity and incomplete knowledge. Consequently, it is clear to recognize the contribution of Mutanov to encapsulate economic modeling with emphasis on budgeting and innovation. Secondly, the method proposed by Mutanov has been verified by applying to the case of the Republic of Kazakhstan, with her vibrant emerging economy. Thirdly, Chapter 5 of the book is of particular interest for the computer technology community because it deals with innovation. In summary, the book of Mutanov should become one of the outstanding recognized pragmatic guides for dealing with innovative systems. Andrzej Rucinski, University of New Hampshire This book is unique in its theoretical findings and practical applicability. The book is an illuminating study based on an applied mathematical model which uses methods such as linear programming and input-output analysis. Moreover, this work demonstrates the author’s great insight and academic brilliance in the fields of finance, technological innovations and marketing vis-à-vis the market economy. From both theoretical and practical standpoint, this work is indeed a great achievement. Yeon Cheon Oh, President of Seoul National University

Mathematics of Economics and Business

Mathematics of Economics and Business PDF Author: Frank Werner
Publisher: Routledge
ISBN: 1134319312
Category : Business & Economics
Languages : en
Pages : 537

Book Description
1. Introduction -- 2. Sequences, series, finance -- 3. Relations, mappings, functions of a real variable -- 4. Differentiation -- 5. Integration -- 6. Vectors -- 7. Matrices and determinants -- 8. Linear equations and inequalities -- 9. Linear programming -- 10. Eigenvalue problems and quadratic forms -- 11. Functions of several variables -- 12. Differential equations and difference equations.
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