Mathematical Economics

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Foundations of Mathematical Economics

Michael Carter
Foundations of Mathematical Economics Book PDF

Author : Michael Carter
Publisher : MIT Press
Page : 678 pages
File Size : 44,7 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.

Mathematical Economics

Akira Takayama
Mathematical Economics Book PDF

Author : Akira Takayama
Publisher : Cambridge University Press
Page : 770 pages
File Size : 46,6 Mb
Release : 1985-08-30
Category : Business & Economics
ISBN : 0521314984

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Mathematical Economics by Akira Takayama Pdf

This systematic exposition and survey of mathematical economics emphasizes the unifying structures of economic theory.

Mathematical Economics

Vasily E. Tarasov
Mathematical Economics Book PDF

Author : Vasily E. Tarasov
Publisher : MDPI
Page : 278 pages
File Size : 42,9 Mb
Release : 2020-06-03
Category : Business & Economics
ISBN : 9783039361182

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Mathematical Economics by Vasily E. Tarasov Pdf

This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.

Mathematical Economics

Kelvin Lancaster
Mathematical Economics Book PDF

Author : Kelvin Lancaster
Publisher : Courier Corporation
Page : 450 pages
File Size : 54,8 Mb
Release : 2012-10-10
Category : Mathematics
ISBN : 9780486145044

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Mathematical Economics by Kelvin Lancaster Pdf

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 Economics

Arsen Melkumian
Mathematical Economics Book PDF

Author : Arsen Melkumian
Publisher : Routledge
Page : 232 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781136868993

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Mathematical Economics by Arsen Melkumian Pdf

This textbook, designed for a single semester course, begins with basic set theory, and moves briskly through fundamental, exponential, and logarithmic functions. Limits and derivatives finish the preparation for economic applications, which are introduced in chapters on univariate functions, matrix algebra, and the constrained and unconstrained optimization of univariate and multivariate functions. The text finishes with chapters on integrals, the mathematics of finance, complex numbers, and differential and difference equations. Rich in targeted examples and explanations, Mathematical Economics offers the utility of a handbook and the thorough treatment of a text. While the typical economics text is written for two semester applications, this text is focused on the essentials. Instructors and students are given the concepts in conjunction with specific examples and their solutions.

Mathematical Economics

Gerard Debreu
Mathematical Economics Book PDF

Author : Gerard Debreu
Publisher : Cambridge University Press
Page : 266 pages
File Size : 47,8 Mb
Release : 1986-10-31
Category : Business & Economics
ISBN : 0521335612

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Mathematical Economics by Gerard Debreu Pdf

Twenty papers written by the influential economic theorist Professor Gerard Debreu.

Mathematical Economics

Kam Yu
Mathematical Economics Book PDF

Author : Kam Yu
Publisher : Springer Nature
Page : 214 pages
File Size : 44,8 Mb
Release : 2019-11-01
Category : Mathematics
ISBN : 9783030272890

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Mathematical Economics by Kam Yu Pdf

This textbook provides a one-semester introduction to mathematical economics for first year graduate and senior undergraduate students. Intended to fill the gap between typical liberal arts curriculum and the rigorous mathematical modeling of graduate study in economics, this text provides a concise introduction to the mathematics needed for core microeconomics, macroeconomics, and econometrics courses. Chapters 1 through 5 builds students’ skills in formal proof, axiomatic treatment of linear algebra, and elementary vector differentiation. Chapters 6 and 7 present the basic tools needed for microeconomic analysis. Chapter 8 provides a quick introduction to (or review of) probability theory. Chapter 9 introduces dynamic modeling, applicable in advanced macroeconomics courses. The materials assume prerequisites in undergraduate calculus and linear algebra. Each chapter includes in-text exercises and a solutions manual, making this text ideal for self-study.

An Introduction to Mathematical Analysis for Economic Theory and Econometrics

Dean Corbae,Maxwell Stinchcombe,Juraj Zeman
An Introduction to Mathematical Analysis for Economic Theory and Econometrics Book PDF

Author : Dean Corbae,Maxwell Stinchcombe,Juraj Zeman
Publisher : Princeton University Press
Page : 696 pages
File Size : 50,5 Mb
Release : 2009-02-17
Category : Business & Economics
ISBN : 9781400833085

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An Introduction to Mathematical Analysis for Economic Theory and Econometrics by Dean Corbae,Maxwell Stinchcombe,Juraj Zeman Pdf

Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded in economics research today. Dean Corbae, Maxwell B. Stinchcombe, and Juraj Zeman equip students with the knowledge of real and functional analysis and measure theory they need to read and do research in economic and econometric theory. Unlike other mathematics textbooks for economics, An Introduction to Mathematical Analysis for Economic Theory and Econometrics takes a unified approach to understanding basic and advanced spaces through the application of the Metric Completion Theorem. This is the concept by which, for example, the real numbers complete the rational numbers and measure spaces complete fields of measurable sets. Another of the book's unique features is its concentration on the mathematical foundations of econometrics. To illustrate difficult concepts, the authors use simple examples drawn from economic theory and econometrics. Accessible and rigorous, the book is self-contained, providing proofs of theorems and assuming only an undergraduate background in calculus and linear algebra. Begins with mathematical analysis and economic examples accessible to advanced undergraduates in order to build intuition for more complex analysis used by graduate students and researchers Takes a unified approach to understanding basic and advanced spaces of numbers through application of the Metric Completion Theorem Focuses on examples from econometrics to explain topics in measure theory

A First Course in Mathematical Economics

Sunanda Roy
A First Course in Mathematical Economics Book PDF

Author : Sunanda Roy
Publisher : Cambridge Scholars Publishing
Page : 364 pages
File Size : 40,8 Mb
Release : 2020-03-17
Category : Business & Economics
ISBN : 9781527548534

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A First Course in Mathematical Economics by Sunanda Roy Pdf

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.

Mathematics for Economics

Michael Hoy
Mathematics for Economics Book PDF

Author : Michael Hoy
Publisher : MIT Press
Page : 164 pages
File Size : 48,7 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.

Advances in Mathematical Economics Volume12

Shigeo Kusuoka,Toru Maruyama
Advances in Mathematical Economics Volume12 Book PDF

Author : Shigeo Kusuoka,Toru Maruyama
Publisher : Springer Science & Business Media
Page : 172 pages
File Size : 43,5 Mb
Release : 2009-03-24
Category : Business & Economics
ISBN : 9784431929352

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Advances in Mathematical Economics Volume12 by Shigeo Kusuoka,Toru Maruyama Pdf

Advances in Mathematical Economics is a publication of the Research Center for Mathematical Economics, which was founded in 1997 as an international scientific association that aims to promote research activities in mathematical economics. Our publication was launched to realize our long-term goal of bringing together those mathematicians who are seriously interested in obtaining new challenging stimuli from economic theories and those economists who are seeking effective mathematical tools for their research. The scope of Advances in Mathematical Economics includes, but is not limited to, the following fields: - economic theories in various fields based on rigorous mathematical reasoning; - mathematical methods (e.g., analysis, algebra, geometry, probability) motivated by economic theories; - mathematical results of potential relevance to economic theory; - historical study of mathematical economics. Authors are asked to develop their original results as fully as possible and also to give a clear-cut expository overview of the problem under discussion. Consequently, we will also invite articles which might be considered too long for publication in journals.

Methods of Mathematical Economics

Joel N. Franklin
Methods of Mathematical Economics Book PDF

Author : Joel N. Franklin
Publisher : Springer
Page : 307 pages
File Size : 55,7 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.

Elements of Numerical Mathematical Economics with Excel

Giovanni Romeo
Elements of Numerical Mathematical Economics with Excel Book PDF

Author : Giovanni Romeo
Publisher : Academic Press
Page : 816 pages
File Size : 49,9 Mb
Release : 2019-11-28
Category : Business & Economics
ISBN : 9780128176498

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Elements of Numerical Mathematical Economics with Excel by Giovanni Romeo Pdf

Elements of Numerical Mathematical Economics with Excel: Static and Dynamic Optimization shows readers how to apply static and dynamic optimization theory in an easy and practical manner, without requiring the mastery of specific programming languages that are often difficult and expensive to learn. Featuring user-friendly numerical discrete calculations developed within the Excel worksheets, the book includes key examples and economic applications solved step-by-step and then replicated in Excel. After introducing the fundamental tools of mathematical economics, the book explores the classical static optimization theory of linear and nonlinear programming, applying the core concepts of microeconomics and some portfolio theory. This provides a background for the more challenging worksheet applications of the dynamic optimization theory. The book also covers special complementary topics such as inventory modelling, data analysis for business and economics, and the essential elements of Monte Carlo analysis. Practical and accessible, Elements of Numerical Mathematical Economics with Excel: Static and Dynamic Optimization increases the computing power of economists worldwide. This book is accompanied by a companion website that includes Excel examples presented in the book, exercises, and other supplementary materials that will further assist in understanding this useful framework. Explains how Excel provides a practical numerical approach to optimization theory and analytics Increases access to the economic applications of this universally-available, relatively simple software program Encourages readers to go to the core of theoretical continuous calculations and learn more about optimization processes

Mathematical Methods and Models for Economists

Angel de la Fuente
Mathematical Methods and Models for Economists Book PDF

Author : Angel de la Fuente
Publisher : Cambridge University Press
Page : 630 pages
File Size : 53,7 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.

Advanced Mathematical Economics

Rakesh V. Vohra
Advanced Mathematical Economics Book PDF

Author : Rakesh V. Vohra
Publisher : Psychology Press
Page : 212 pages
File Size : 52,6 Mb
Release : 2005
Category : Business & Economics
ISBN : 0415700086

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Advanced Mathematical Economics by Rakesh V. Vohra Pdf

This textbook presents students with all they need for advancing in mathematical economics. Higher level undergraduates as well as postgraduate students in mathematical economics will find this book extremely useful.