Author: Jacob T. Schwartz
Publisher: Courier Dover Publications
ISBN: 0486828034
Category : Mathematics
Languages : en
Pages : 305
Book Description
An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.
Lectures on the Mathematical Method in Analytical Economics
Lectures on the Mathematical Method in Analytic Economics
Author: Jacob T. Schwartz
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Mathematics for Economic Analysis
Author: Knut Sydsæter
Publisher: Pearson
ISBN:
Category : Business & Economics
Languages : en
Pages : 1026
Book Description
For sophomore-level and above courses in Mathematical Methods, Mathematics for Economists. An introduction to those parts of mathematical analysis and linear algebra which are most important for economists.
Publisher: Pearson
ISBN:
Category : Business & Economics
Languages : en
Pages : 1026
Book Description
For sophomore-level and above courses in Mathematical Methods, Mathematics for Economists. An introduction to those parts of mathematical analysis and linear algebra which are most important for economists.
Mathematical Methods of Game and Economic Theory
Author: Jean-Pierre Aubin
Publisher: Courier Corporation
ISBN: 048646265X
Category : Mathematics
Languages : en
Pages : 658
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.
Publisher: Courier Corporation
ISBN: 048646265X
Category : Mathematics
Languages : en
Pages : 658
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.
Mathematical Methods for Economists
Author: Stephen Glaister
Publisher: Wiley-Blackwell
ISBN: 9780631137122
Category : Business & Economics
Languages : en
Pages : 272
Book Description
Publisher: Wiley-Blackwell
ISBN: 9780631137122
Category : Business & Economics
Languages : en
Pages : 272
Book Description
Lectures on Mathematical Theory of Extremum Problems
Author: I. V. Girsanov
Publisher: Springer Science & Business Media
ISBN: 3642806848
Category : Mathematics
Languages : en
Pages : 142
Book Description
The author of this book, Igor' Vladimirovich Girsanov, was one of the first mathematicians to study general extremum problems and to realize the feasibility and desirability of a unified theory of extremal problems, based on a functional analytic approach. He actively advocated this view, and his special course, given at the Faculty of Mechanics and Mathematics of the Moscow State University in 1963 and 1964, was apparently the first systematic exposition of a unified approach to the theory of extremal problems. This approach was based on the ideas of Dubovitskii and Milyutin [1]. The general theory of extremal problems has developed so intensely during the past few years that its basic concepts may now be considered finalized. Nevertheless, as yet the basic results of this new field of mathematics have not been presented in a form accessible to a wide range of readers. (The profound paper of Dubovitskii and Milyutin [2] can hardly be recommended for a first study of the theory, since, in particular, it does not contain proofs of the fundamental theorems. ) Girsanov's book fills this gap. It contains a systematic exposition of the general principles underlying the derivation of necessary and sufficient conditions for an extremum, in a wide variety of problems. Numerous applications are given to specific extremal problems. The main material is preceded by an introductory section in which all prerequisites from functional analysis are presented.
Publisher: Springer Science & Business Media
ISBN: 3642806848
Category : Mathematics
Languages : en
Pages : 142
Book Description
The author of this book, Igor' Vladimirovich Girsanov, was one of the first mathematicians to study general extremum problems and to realize the feasibility and desirability of a unified theory of extremal problems, based on a functional analytic approach. He actively advocated this view, and his special course, given at the Faculty of Mechanics and Mathematics of the Moscow State University in 1963 and 1964, was apparently the first systematic exposition of a unified approach to the theory of extremal problems. This approach was based on the ideas of Dubovitskii and Milyutin [1]. The general theory of extremal problems has developed so intensely during the past few years that its basic concepts may now be considered finalized. Nevertheless, as yet the basic results of this new field of mathematics have not been presented in a form accessible to a wide range of readers. (The profound paper of Dubovitskii and Milyutin [2] can hardly be recommended for a first study of the theory, since, in particular, it does not contain proofs of the fundamental theorems. ) Girsanov's book fills this gap. It contains a systematic exposition of the general principles underlying the derivation of necessary and sufficient conditions for an extremum, in a wide variety of problems. Numerous applications are given to specific extremal problems. The main material is preceded by an introductory section in which all prerequisites from functional analysis are presented.
Theory of Money a New and Independent Continuation of Lectures on the Mathematical Method in Analytical Economics
Author: Jacob T. Schwartz
Publisher:
ISBN:
Category :
Languages : en
Pages : 95
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 95
Book Description
Lectures on the Mathematical Method in Analitycal Economics
Author: Jacob T. Schwartz
Publisher:
ISBN:
Category :
Languages : en
Pages : 282
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 282
Book Description
Selected Water Resources Abstracts
Author:
Publisher:
ISBN:
Category : Hydrology
Languages : en
Pages : 776
Book Description
Publisher:
ISBN:
Category : Hydrology
Languages : en
Pages : 776
Book Description
Mathematical Analysis for Economists
Author: Roy George Douglas Allen
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 576
Book Description
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 576
Book Description