Author : Angel de la Fuente
Publisher : Cambridge University Press
Page : 630 pages
File Size : 23,44 MB
Release : 2000-01-28
Category : Business & Economics
ISBN : 9780521585293
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
Author : Michael Carter
Publisher : MIT Press
Page : 678 pages
File Size : 20,79 MB
Release : 2001-10-26
Category : 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.
Author : Jean-Pierre Aubin
Publisher : Courier Corporation
Page : 658 pages
File Size : 36,36 MB
Release : 2007-01-01
Category : 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.
Author : Stephen Glaister
Publisher : Wiley-Blackwell
Page : 272 pages
File Size : 44,96 MB
Release : 1991-01-15
Category : Business & Economics
ISBN : 9780631137122
Author : Jacob T. Schwartz
Publisher : Courier Dover Publications
Page : 305 pages
File Size : 37,9 MB
Release : 2018-11-14
Category : 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.
Author : James Bergin
Publisher : Routledge
Page : 571 pages
File Size : 47,95 MB
Release : 2015-01-09
Category : Business & Economics
ISBN : 1317820150
Mathematics for Economists with Applications provides detailed coverage of the mathematical techniques essential for undergraduate and introductory graduate work in economics, business and finance. Beginning with linear algebra and matrix theory, the book develops the techniques of univariate and multivariate calculus used in economics, proceeding to discuss the theory of optimization in detail. Integration, differential and difference equations are considered in subsequent chapters. Uniquely, the book also features a discussion of statistics and probability, including a study of the key distributions and their role in hypothesis testing. Throughout the text, large numbers of new and insightful examples and an extensive use of graphs explain and motivate the material. Each chapter develops from an elementary level and builds to more advanced topics, providing logical progression for the student, and enabling instructors to prescribe material to the required level of the course. With coverage substantial in depth as well as breadth, and including a companion website at www.routledge.com/cw/bergin, containing exercises related to the worked examples from each chapter of the book, Mathematics for Economists with Applications contains everything needed to understand and apply the mathematical methods and practices fundamental to the study of economics.
Author : Akihito Asano
Publisher : Cambridge University Press
Page : 285 pages
File Size : 42,55 MB
Release : 2012-11-08
Category : Business & Economics
ISBN : 1107007607
A concise, accessible introduction to maths for economics with lots of practical applications to help students learn in context.
Author : Kenneth L. Judd
Publisher : MIT Press
Page : 657 pages
File Size : 45,96 MB
Release : 2023-04-04
Category : Business & Economics
ISBN : 0262547740
To harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents techniques from the numerical analysis and applied mathematics literatures and shows how to use them in economic analyses. The book is divided into five parts. Part I provides a general introduction. Part II presents basics from numerical analysis on R^n, including linear equations, iterative methods, optimization, nonlinear equations, approximation methods, numerical integration and differentiation, and Monte Carlo methods. Part III covers methods for dynamic problems, including finite difference methods, projection methods, and numerical dynamic programming. Part IV covers perturbation and asymptotic solution methods. Finally, Part V covers applications to dynamic equilibrium analysis, including solution methods for perfect foresight models and rational expectation models. A website contains supplementary material including programs and answers to exercises.
Author : Michael Hoy
Publisher : MIT Press
Page : 164 pages
File Size : 13,45 MB
Release : 2001
Category : Business & Economics
ISBN : 9780262582018
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 : Mik Wisniewski
Publisher : McGraw-Hill Book Company Limited
Page : 375 pages
File Size : 44,82 MB
Release : 1996
Category : Business & Economics
ISBN : 9780077091095
This text introduces undergraduate students studying economics to a useful set of analytical tools and mathematical techniques.
