Foundations of Mathematical Economics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Foundations of Mathematical Economics PDF full book. Access full book title Foundations of Mathematical Economics by Michael Carter. Download full books in PDF and EPUB format.
Author: Michael Carter
Publisher: MIT Press
ISBN: 9780262531924
Category : Business & Economics
Languages : en
Pages : 678
Get Book
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
Get Book
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 Hoy
Publisher: MIT Press
ISBN: 9780262582018
Category : Business & Economics
Languages : en
Pages : 164
Get Book
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: Akira Takayama
Publisher: Cambridge University Press
ISBN: 9780521314985
Category : Business & Economics
Languages : en
Pages : 770
Get Book
Book Description
This systematic exposition and survey of mathematical economics emphasizes the unifying structures of economic theory.
Author: Vasily E. Tarasov
Publisher: MDPI
ISBN: 303936118X
Category : Business & Economics
Languages : en
Pages : 278
Get Book
Book Description
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.
Author: Kam Yu
Publisher: Springer Nature
ISBN: 3030272893
Category : Mathematics
Languages : en
Pages : 214
Get Book
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: Angel de la Fuente
Publisher: Cambridge University Press
ISBN: 9780521585293
Category : Business & Economics
Languages : en
Pages : 630
Get Book
Book Description
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
Author: Kelvin Lancaster
Publisher: Courier Corporation
ISBN: 0486145042
Category : Mathematics
Languages : en
Pages : 450
Get Book
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: Rakesh V. Vohra
Publisher: Psychology Press
ISBN: 9780415700085
Category : Business & Economics
Languages : en
Pages : 212
Get Book
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: D. Wade Hands
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 488
Get Book
Book Description
Author: Jean-Pierre Aubin
Publisher: Courier Corporation
ISBN: 048646265X
Category : Mathematics
Languages : en
Pages : 658
Get Book
Book Description
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.
