Foundations of Mathematical Economics PDF Download
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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.
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.
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.
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.
Author: Rakesh V. Vohra
Publisher: Psychology Press
ISBN: 9780415700085
Category : Business & Economics
Languages : en
Pages : 212
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Book Description
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.
Author: Kam Yu
Publisher: Springer Nature
ISBN: 3030272893
Category : Mathematics
Languages : en
Pages : 214
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Book Description
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.
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.
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.
Author: D. Wade Hands
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 488
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Book Description
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.
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.
