Lectures On The Mathematical Method In Analytical Economics
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Lectures On The Mathematical Method In Analytical Economics
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Author : Jacob T. Schwartz
language : en
Publisher: Courier Dover Publications
Release Date : 2018-11-14
Lectures On The Mathematical Method In Analytical Economics written by Jacob T. Schwartz and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-14 with Mathematics categories.
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.
Computable Foundations For Economics
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Author : K. Vela Velupillai
language : en
Publisher: Routledge
Release Date : 2012-07-26
Computable Foundations For Economics written by K. Vela Velupillai and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-26 with Business & Economics categories.
Computable Foundations for Economics is a unified collection of essays, some of which are published here for the first time and all of which have been updated for this book, on an approach to economic theory from the point of view of algorithmic mathematics. By algorithmic mathematics the author means computability theory and constructive mathematics. This is in contrast to orthodox mathematical economics and game theory, which are formalised with the mathematics of real analysis, underpinned by what is called the ZFC formalism, i.e., set theory with the axiom of choice. This reliance on ordinary real analysis and the ZFC system makes economic theory in its current mathematical mode completely non-algorithmic, which means it is numerically meaningless. The book provides a systematic attempt to dissect and expose the non-algorithmic content of orthodox mathematical economics and game theory and suggests a reformalization on the basis of a strictly rigorous algorithmic mathematics. This removes the current schizophrenia in mathematical economics and game theory, where theory is entirely divorced from algorithmic applicability – for experimental and computational exercises. The chapters demonstrate the uncomputability and non-constructivity of core areas of general equilibrium theory, game theory and recursive macroeconomics. The book also provides a fresh look at the kind of behavioural economics that lies behind Herbert Simon’s work, and resurrects a role for the noble classical traditions of induction and verification, viewed and formalised, now, algorithmically. It will therefore be of particular interest to postgraduate students and researchers in algorithmic economics, game theory and classical behavioural economics.
Economic Dynamics
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Author : Giancarlo Gandolfo
language : en
Publisher: Springer Science & Business Media
Release Date : 1997
Economic Dynamics written by Giancarlo Gandolfo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Business & Economics categories.
Treating the mathematical methods used in the economic dynamics, this book shows how they are utilised to build and analyse dynamical models. Accordingly, the focus is on the methods, and every new mathematical technique introduced is followed by its application to select economic models. The mathematical methods coveredc range from elementary linear difference and differential equations and simultaneous systems to the qualitative analysis of non-linear dynamical systems. Stability considerations are stressed throughout, including many advanced topics. Bifurcation and chaos theory are also dealt with. The reader is guided through a step-by-step analysis of each topic, be it a mathematical method or an economic model. The Study Edition also provides the reader with solutions to the numerous exercises.
Positive Dynamical Systems In Discrete Time
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Author : Ulrich Krause
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-03-10
Positive Dynamical Systems In Discrete Time written by Ulrich Krause and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-10 with Mathematics categories.
This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)
Karl Marx S Economics
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Author : John Cunningham Wood
language : en
Publisher: Taylor & Francis
Release Date : 2004-11
Karl Marx S Economics written by John Cunningham Wood and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11 with Business & Economics categories.
Theory Of Money
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Author : Jacob T. Schwartz
language : en
Publisher: Routledge
Release Date : 2017-04-21
Theory Of Money written by Jacob T. Schwartz and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-21 with Business & Economics categories.
This title, first published in 1965, provides an analysis of the forces and mechanisms governing the formation of the overall level of money prices. Even though this problem has a long history, and in spite of its obvious practical importance, it remains one of the most poorly understood questions in economic theory. This title will be of interest to students of monetary economics and the history of economic thought.
Semitopological Vector Spaces
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Author : Mark Burgin
language : en
Publisher: CRC Press
Release Date : 2017-06-26
Semitopological Vector Spaces written by Mark Burgin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-26 with Mathematics categories.
This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and hyperseminormed vector spaces. It develops mathematical tools for the further development of functional analysis and broadening of its applications. Exploration of semitopological vector spaces, hypernormed vector spaces, hyperseminormed vector spaces, and hypermetric vector spaces is the main topic of this book. A new direction in functional analysis, called quantum functional analysis, has been developed based on polinormed and multinormed vector spaces and linear algebras. At the same time, normed vector spaces and topological vector spaces play an important role in physics and in control theory. To make this book comprehendible for the reader and more suitable for students with some basic knowledge in mathematics, denotations and definitions of the main mathematical concepts and structures used in the book are included in the appendix, making the book useful for enhancing traditional courses of calculus for undergraduates, as well as for separate courses for graduate students. The material of Semitopological Vector Spaces: Hypernorms, Hyperseminorms and Operators is closely related to what is taught at colleges and universities. It is possible to use a definite number of statements from the book as exercises for students because their proofs are not given in the book but left for the reader.
Mr Sraffa On Joint Production And Other Essays
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Author : Bertram Schefold
language : en
Publisher: Routledge
Release Date : 1989
Mr Sraffa On Joint Production And Other Essays written by Bertram Schefold and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Prices categories.
Interest in the application of the classical theory of prices, in its significance for thecritique of economic theory, and in the special aspect of joint production hasdeveloped slowly but steadily since Sraffa's Production of Commodities by Means ofCommodities (henceforth to be abbreviated as PCMC) was published in 1960. The coreof this book (Part II) consists of my PhD thesis 'Mr Sraffa On Joint Production',which was written in 1969/70 when I was first a Visitor to the Faculty of Economics,then an Advanced Student at King's College, Cambridge. At that time, almostnobody had written about the.
Production And Efficiency Analysis With R
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Author : Andreas Behr
language : en
Publisher: Springer
Release Date : 2016-01-09
Production And Efficiency Analysis With R written by Andreas Behr and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-09 with Business & Economics categories.
This textbook introduces essential topics and techniques in production and efficiency analysis and shows how to apply these methods using the statistical software R. Numerous small simulations lead to a deeper understanding of random processes assumed in the models and of the behavior of estimation techniques. Step-by-step programming provides an understanding of advanced approaches such as stochastic frontier analysis and stochastic data envelopment analysis. The text is intended for master students interested in empirical production and efficiency analysis. Readers are assumed to have a general background in production economics and econometrics, typically taught in introductory microeconomics and econometrics courses.
Fixed Point Theory
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Author : V.I. Istratescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-30
Fixed Point Theory written by V.I. Istratescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-30 with Mathematics categories.
Approach your problems from the right It isn't that they can't see the solution. It end and begin with the answers. Then, is that they can't see the problem. one day, perhaps you will find the final G. K. Chesterton, The Scandal of Father question. Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.