Mathematics And Methodology For Economics

Author : Wolfgang Eichhorn,Winfried Gleißner
Publisher : Springer
Page : 630 pages
File Size : 55,8 Mb
Release : 2016-02-11
Category : Business & Economics
ISBN : 9783319233536

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Mathematics and Methodology for Economics by Wolfgang Eichhorn,Winfried Gleißner Pdf

This book about mathematics and methodology for economics is the result of the lifelong experience of the authors. It is written for university students as well as for students of applied sciences. This self-contained book does not assume any previous knowledge of high school mathematics and helps understanding the basics of economic theory-building. Starting from set theory it thoroughly discusses linear and non-linear functions, differential equations, difference equations, and all necessary theoretical constructs for building sound economic models. The authors also present a solid introduction to linear optimisation and game theory using production systems. A detailed discussion on market equilibrium, in particular on Nash Equilibrium, and on non-linear optimisation is also provided. Throughout the book the student is well supplied with numerous examples, some 2000 problems and their solutions to apply the knowledge to economic theories and models.

Author : Angel de la Fuente
Publisher : Cambridge University Press
Page : 630 pages
File Size : 41,6 Mb
Release : 2000-01-28
Category : Business & Economics
ISBN : 0521585295

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Mathematical Methods and Models for Economists by Angel de la Fuente Pdf

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

Author : Martin Anthony,Norman Biggs
Publisher : Cambridge University Press
Page : 128 pages
File Size : 49,9 Mb
Release : 1996-07-13
Category : Mathematics
ISBN : 9781139643269

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Mathematics for Economics and Finance by Martin Anthony,Norman Biggs Pdf

Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.

Author : Jean-Pierre Aubin
Publisher : Courier Corporation
Page : 658 pages
File Size : 50,7 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 9780486462653

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Mathematical Methods of Game and Economic Theory by Jean-Pierre Aubin Pdf

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.

Author : Joel N. Franklin
Publisher : Springer
Page : 307 pages
File Size : 41,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662253175

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Methods of Mathematical Economics by Joel N. Franklin Pdf

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.

Author : Norman Schofield
Publisher : Routledge
Page : 294 pages
File Size : 49,5 Mb
Release : 2018-03-05
Category : Business & Economics
ISBN : 9781351140430

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Mathematical Methods in Economics by Norman Schofield Pdf

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.

Author : norman schofield
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 43,7 Mb
Release : 2004-03-15
Category : Business & Economics
ISBN : 3540211381

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Mathematical Methods in Economics and Social Choice by norman schofield Pdf

In recent years, the usual optimisation techniques have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behaviour of general economic and political systems. 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.

Author : Adam Ostaszewski
Publisher : Wiley-Blackwell
Page : 532 pages
File Size : 48,7 Mb
Release : 1993-09-28
Category : Business & Economics
ISBN : 0631180567

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Mathematics in Economics by Adam Ostaszewski Pdf

A valuable guide to the mathematical apparatus that underlies so much of modern economics. The approach to mathematics is rigorous and the mathematical techniques are always presented in the context of the economics problem they are used to solve. Students can gain insight into, and familiarity with, the mathematical models and methods involved in the transition from 'phenomenon' to quantitative statement.

Author : Michael Carter
Publisher : MIT Press
Page : 678 pages
File Size : 55,9 Mb
Release : 2001-10-26
Category : Business & Economics
ISBN : 0262531925

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Foundations of Mathematical Economics by Michael Carter Pdf

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.

Author : Akihito Asano
Publisher : Cambridge University Press
Page : 285 pages
File Size : 42,9 Mb
Release : 2012-11-08
Category : Business & Economics
ISBN : 9781107007604

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An Introduction to Mathematics for Economics by Akihito Asano Pdf

A concise, accessible introduction to maths for economics with lots of practical applications to help students learn in context.

Author : Angel de la Fuente
Publisher : Cambridge University Press
Page : 630 pages
File Size : 47,8 Mb
Release : 2000-01-28
Category : Business & Economics
ISBN : 9781139643337

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Mathematical Methods and Models for Economists by Angel de la Fuente Pdf

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.

Author : Jacob T. Schwartz
Publisher : Courier Dover Publications
Page : 305 pages
File Size : 53,7 Mb
Release : 2018-11-14
Category : Mathematics
ISBN : 9780486828039

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Lectures on the Mathematical Method in Analytical Economics by Jacob T. Schwartz Pdf

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.

Author : Michael Hoy
Publisher : MIT Press
Page : 164 pages
File Size : 53,8 Mb
Release : 2001
Category : Business & Economics
ISBN : 0262582015

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Mathematics for Economics by Michael Hoy Pdf

This text offers a presentation of the mathematics required to tackle problems in economic analysis. After a review of the fundamentals of sets, numbers, and functions, it covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics.

Author : Frank Werner,Yuri N. Sotskov
Publisher : Routledge
Page : 537 pages
File Size : 46,6 Mb
Release : 2006-04-18
Category : Business & Economics
ISBN : 9781134319312

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Mathematics of Economics and Business by Frank Werner,Yuri N. Sotskov Pdf

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.

Author : Alpha Chiang
Publisher : Unknown
Page : 690 pages
File Size : 52,9 Mb
Release : 1997
Category : Economics, Mathematical
ISBN : OCLC:1076577092

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Fundamental Methods of Mathematical Economics by Alpha Chiang Pdf