Foundations of Mathematical Economics

Foundations of Mathematical Economics

Author: Michael Carter

Publisher: MIT Press

Published: 2001-10-26

Total Pages: 678

ISBN-13: 9780262531924

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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.


Mathematics for Economics

Mathematics for Economics

Author: Michael Hoy

Publisher: MIT Press

Published: 2001

Total Pages: 164

ISBN-13: 9780262582018

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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

Author: Akihito Asano

Publisher: Cambridge University Press

Published: 2012-11-08

Total Pages: 285

ISBN-13: 1107007607

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


Mathematical Methods and Models for Economists

Mathematical Methods and Models for Economists

Author: Angel de la Fuente

Publisher: Cambridge University Press

Published: 2000-01-28

Total Pages: 630

ISBN-13: 9780521585293

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


Mathematics for Economics and Finance

Mathematics for Economics and Finance

Author: Martin Anthony

Publisher: Cambridge University Press

Published: 1996-07-13

Total Pages: 414

ISBN-13: 1139643266

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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.


Mathematical Economics

Mathematical Economics

Author: Kelvin Lancaster

Publisher: Courier Corporation

Published: 2012-10-10

Total Pages: 450

ISBN-13: 0486145042

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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.


How Economics Became a Mathematical Science

How Economics Became a Mathematical Science

Author: E. Roy Weintraub

Publisher: Duke University Press

Published: 2002-05-28

Total Pages: 329

ISBN-13: 0822383802

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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.


Mathematical Economics

Mathematical Economics

Author: Akira Takayama

Publisher: Cambridge University Press

Published: 1985-08-30

Total Pages: 770

ISBN-13: 9780521314985

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


Economics for Mathematicians

Economics for Mathematicians

Author: John William Scott Cassels

Publisher: Cambridge University Press

Published: 1981-12-10

Total Pages: 161

ISBN-13: 052128614X

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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 in Economics

Mathematics in Economics

Author: Adam Ostaszewski

Publisher: Wiley-Blackwell

Published: 1993-09-28

Total Pages: 532

ISBN-13: 9780631180562

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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.