Mathematical Methods in Theoretical Economics
Author : Erwin Klein
Publisher :
Page : 416 pages
File Size : 42,67 MB
Release : 1973
Category : Business & Economics
ISBN :
Author : Erwin Klein
Publisher :
Page : 416 pages
File Size : 42,67 MB
Release : 1973
Category : Business & Economics
ISBN :
Author : Angel de la Fuente
Publisher : Cambridge University Press
Page : 630 pages
File Size : 27,14 MB
Release : 2000-01-28
Category : Business & Economics
ISBN : 9780521585293
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
Author : Norman Schofield
Publisher : Routledge
Page : 294 pages
File Size : 25,4 MB
Release : 2018-03-05
Category : Business & Economics
ISBN : 1351140434
Originally published in 1984. Since the logic underlying economic theory can only be grasped fully by a thorough understanding of the mathematics, this book will be invaluable to economists wishing to understand vast areas of important research. It provides a basic introduction to the fundamental mathematical ideas of topology and calculus, and uses these to present modern singularity theory and recent results on the generic existence of isolated price equilibria in exchange economies.
Author : norman schofield
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 45,83 MB
Release : 2004-03-15
Category : Business & Economics
ISBN : 9783540211389
In recent years, the usual optimisation techniques have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behaviour of general economic and political systems. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.
Author : Dean Corbae
Publisher : Princeton University Press
Page : 696 pages
File Size : 40,21 MB
Release : 2009-02-17
Category : Business & Economics
ISBN : 1400833086
Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded in economics research today. Dean Corbae, Maxwell B. Stinchcombe, and Juraj Zeman equip students with the knowledge of real and functional analysis and measure theory they need to read and do research in economic and econometric theory. Unlike other mathematics textbooks for economics, An Introduction to Mathematical Analysis for Economic Theory and Econometrics takes a unified approach to understanding basic and advanced spaces through the application of the Metric Completion Theorem. This is the concept by which, for example, the real numbers complete the rational numbers and measure spaces complete fields of measurable sets. Another of the book's unique features is its concentration on the mathematical foundations of econometrics. To illustrate difficult concepts, the authors use simple examples drawn from economic theory and econometrics. Accessible and rigorous, the book is self-contained, providing proofs of theorems and assuming only an undergraduate background in calculus and linear algebra. Begins with mathematical analysis and economic examples accessible to advanced undergraduates in order to build intuition for more complex analysis used by graduate students and researchers Takes a unified approach to understanding basic and advanced spaces of numbers through application of the Metric Completion Theorem Focuses on examples from econometrics to explain topics in measure theory
Author : Jacob T. Schwartz
Publisher : Courier Dover Publications
Page : 305 pages
File Size : 21,93 MB
Release : 2018-11-14
Category : Mathematics
ISBN : 0486828034
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.
Author : James C. Moore
Publisher : Springer Science & Business Media
Page : 436 pages
File Size : 18,37 MB
Release : 1999-10-19
Category : Business & Economics
ISBN : 9783540662358
This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. Volume One covers basic set theory, sequences and series, continuous and semi-continuous functions, an introduction to general linear spaces, basic convexity theory, and applications to economics.
Author : James C. Moore
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 38,60 MB
Release : 2013-03-14
Category : Business & Economics
ISBN : 3662085445
This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate in economics, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. This second volume introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces
Author : Anjan Mukherji
Publisher : OUP India
Page : 0 pages
File Size : 27,72 MB
Release : 2011-02-03
Category : Business & Economics
ISBN : 9780198069973
This textbook for postgraduate students learning mathematical methods in economics provides a comprehensive account of mathematics required to analyse and solve problems of choice encountered by economists. It looks at a wide variety of decision-making problems, both static and dynamic, in various contexts and provides mathematical foundations for the relevant economic theory.
Author : Belal Ehsan Baaquie
Publisher : Springer Nature
Page : 439 pages
File Size : 22,55 MB
Release : 2020-08-10
Category : Business & Economics
ISBN : 9811566119
Given the rapid pace of development in economics and finance, a concise and up-to-date introduction to mathematical methods has become a prerequisite for all graduate students, even those not specializing in quantitative finance. This book offers an introductory text on mathematical methods for graduate students of economics and finance–and leading to the more advanced subject of quantum mathematics. The content is divided into five major sections: mathematical methods are covered in the first four sections, and can be taught in one semester. The book begins by focusing on the core subjects of linear algebra and calculus, before moving on to the more advanced topics of probability theory and stochastic calculus. Detailed derivations of the Black-Scholes and Merton equations are provided – in order to clarify the mathematical underpinnings of stochastic calculus. Each chapter of the first four sections includes a problem set, chiefly drawn from economics and finance. In turn, section five addresses quantum mathematics. The mathematical topics covered in the first four sections are sufficient for the study of quantum mathematics; Black-Scholes option theory and Merton’s theory of corporate debt are among topics analyzed using quantum mathematics.