Foundations of Mathematical Economics

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

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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.

Mathematical Economics

Mathematical Economics PDF Author: Akira Takayama
Publisher: Cambridge University Press
ISBN: 9780521314985
Category : Business & Economics
Languages : en
Pages : 770

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

Mathematical Economics

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

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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 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

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

Mathematical Economics

Mathematical Economics PDF Author: Arsen Melkumian
Publisher: Routledge
ISBN: 1136868992
Category : Business & Economics
Languages : en
Pages : 232

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Book Description
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.

How Economics Became a Mathematical Science

How Economics Became a Mathematical Science PDF Author: E. Roy Weintraub
Publisher: Duke University Press
ISBN: 0822383802
Category : Business & Economics
Languages : en
Pages : 329

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Book Description
In How Economics Became a Mathematical Science E. Roy Weintraub traces the history of economics through the prism of the history of mathematics in the twentieth century. As mathematics has evolved, so has the image of mathematics, explains Weintraub, such as ideas about the standards for accepting proof, the meaning of rigor, and the nature of the mathematical enterprise itself. He also shows how economics itself has been shaped by economists’ changing images of mathematics. Whereas others have viewed economics as autonomous, Weintraub presents a different picture, one in which changes in mathematics—both within the body of knowledge that constitutes mathematics and in how it is thought of as a discipline and as a type of knowledge—have been intertwined with the evolution of economic thought. Weintraub begins his account with Cambridge University, the intellectual birthplace of modern economics, and examines specifically Alfred Marshall and the Mathematical Tripos examinations—tests in mathematics that were required of all who wished to study economics at Cambridge. He proceeds to interrogate the idea of a rigorous mathematical economics through the connections between particular mathematical economists and mathematicians in each of the decades of the first half of the twentieth century, and thus describes how the mathematical issues of formalism and axiomatization have shaped economics. Finally, How Economics Became a Mathematical Science reconstructs the career of the economist Sidney Weintraub, whose relationship to mathematics is viewed through his relationships with his mathematician brother, Hal, and his mathematician-economist son, the book’s author.

Economics for Mathematicians

Economics for Mathematicians PDF Author: John William Scott Cassels
Publisher: Cambridge University Press
ISBN: 052128614X
Category : Business & Economics
Languages : en
Pages : 161

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Book Description
This is the expanded notes of a course intended to introduce students specializing in mathematics to some of the central ideas of traditional economics. The book should be readily accessible to anyone with some training in university mathematics; more advanced mathematical tools are explained in the appendices. Thus this text could be used for undergraduate mathematics courses or as supplementary reading for students of mathematical economics.

Mathematics for Economics

Mathematics for Economics PDF Author: Michael Hoy
Publisher: MIT Press
ISBN: 9780262582018
Category : Business & Economics
Languages : en
Pages : 164

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Book Description
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.

An Introduction to Mathematics for Economics

An Introduction to Mathematics for Economics PDF Author: Akihito Asano
Publisher: Cambridge University Press
ISBN: 1107007607
Category : Business & Economics
Languages : en
Pages : 285

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

Methods of Mathematical Economics

Methods of Mathematical Economics PDF Author: Joel N. Franklin
Publisher: SIAM
ISBN: 0898715091
Category : Mathematics
Languages : en
Pages : 313

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Book Description
Easy-to-read classic, covering Wolfe's method and the Kuhn-Tucker theory.