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Author:
Publisher:
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Category :
Languages : en
Pages : 224
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 224
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Book Description
Author: J. Aczel
Publisher: Courier Corporation
ISBN: 0486445232
Category : Mathematics
Languages : en
Pages : 548
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Book Description
Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.
Author: O. von Grudzinski
Publisher: Elsevier
ISBN: 008087276X
Category : Mathematics
Languages : en
Pages : 469
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Book Description
This is a systematic exposition of the basics of the theory of quasihomogeneous (in particular, homogeneous) functions and distributions (generalized functions). A major theme is the method of taking quasihomogeneous averages. It serves as the central tool for the study of the solvability of quasihomogeneous multiplication equations and of quasihomogeneous partial differential equations with constant coefficients. Necessary and sufficient conditions for solvability are given. Several examples are treated in detail, among them the heat and the Schrödinger equation. The final chapter is devoted to quasihomogeneous wave front sets and their application to the description of singularities of quasihomogeneous distributions, in particular to quasihomogeneous fundamental solutions of the heat and of the Schrödinger equation.
Author: G. Hasenkamp
Publisher: Springer Science & Business Media
ISBN: 364245481X
Category : Business & Economics
Languages : en
Pages : 163
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Book Description
This monograph is intended as a contribution to applied work in production theory by treating: a) The measurement problems involved whenever several outputs are jointly produced, and b) The (possible) econometric framework for estimating production function parameters whenever (relative) prices vary sufficiently over the observations. Thus, the "pure" theory of production, and the theory of non-linear regression is not treated in sufficient detail: for these topics we refer to the available literature~ for a comprehensive list of references we refer to Uebe (1975). Some years ago, papers by L. J. Lau and W. E. Diewert initiated my interest in duality within production theory, and then I started to appreciate R. W. Shephard's fundamental contribution to this topic. This monograph is a (minor) revision of a Ph. D. dissertation submitted to the Department of Economics, The University of Wisconsin, Madison, in August 1973. The Graduate School and the Social Systems Research Institute provided funds for the reported computer work, Lawrence R. Klein and Laurits R. Christensen provided data, and as a Graduate Student I received financial support in form of an University Fellowship~ all this is very much appreciated. With some nostalgia I think back to the enjoyable period of learning during the preparation of my diFosertation~ I appreciate the spirit within the department, and the guidance of my committee Arthur S. Goldberger, Dennis J. Aigner, and Laurits R. Christensen.
Author: Paul Anthony Samuelson
Publisher: MIT Press
ISBN: 9780262192514
Category : Economics
Languages : en
Pages : 1074
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Book Description
The col. scient. pap. P.A. Samuelson /Ed. R.C. Merton.-v.5.
Author: Michael J. Panik
Publisher: CRC Press
ISBN: 1000408841
Category : Mathematics
Languages : en
Pages : 343
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Book Description
In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems. This book combines the areas of intermediate to advanced mathematics, optimization, and microeconomic decision making, and is suitable for advanced undergraduates and first-year graduate students. This text is highly readable, with all concepts fully defined, and contains numerous detailed example problems in both mathematics and microeconomic applications. Each section contains some standard, as well as more thoughtful and challenging, exercises. Solutions can be downloaded from the CRC Press website. All solutions are detailed and complete. Features Contains a whole spectrum of modern applicable mathematical techniques, many of which are not found in other books of this type. Comprehensive and contains numerous and detailed example problems in both mathematics and economic analysis. Suitable for economists and economics students with only a minimal mathematical background. Classroom-tested over the years when the author was actively teaching at the University of Hartford. Serves as a beginner text in optimization for applied mathematics students. Accompanied by several electronic chapters on linear algebra and matrix theory, nonsmooth optimization, economic efficiency, and distance functions available for free on www.routledge.com/9780367759018.
Author: Richard Beals
Publisher: Princeton University Press
ISBN: 1400882397
Category : Mathematics
Languages : en
Pages : 208
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Book Description
The description for this book, Calculus on Heisenberg Manifolds. (AM-119), Volume 119, will be forthcoming.
Author: Erol Başar
Publisher: Springer Science & Business Media
ISBN: 3642598935
Category : Science
Languages : en
Pages : 491
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Book Description
Neuroscience is ripe for a paradigm change as Freeman and Mountcastle describe. Brain Oscillations provide an important key to this change. In this book the functional importance of the brain's multiple oscillations is treated with an integrative scope. According to the author, neurophysiology and cognition demand integrative approaches similar to those of Galilei and Newton in physics and of Darwin in biology. Not only the human brain but also lower brains and ganglia of invertebrates are treated with electrophysical methods. Experiments on sensory registration, perception, movement, and cognitive processes related to attention, learning, and memory are described. A synopsis on brain functions leads to a new neuron assemblies doctrine, extending the concept of Sherrington, and new trends in this field. The book will appeal to scientists and graduate students.
Author: Melvyn Fuss
Publisher: Elsevier
ISBN: 148325903X
Category : Business & Economics
Languages : en
Pages : 361
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Book Description
Contributions to Economic Analysis: Production Economics: A Dual Approach to Theory and Applications, Volume 2 focuses on the theory of production from the standpoint of the "dual", the relationships between economic observables which are dual to physical technology. The selection first ponders on duality, intermediate inputs and value-added, Hicks' aggregation theorem and the existence of a real value-added function, and homotheticity and real value-added in Canadian manufacturing. Discussions focus on real value-added and the production structure, estimation of the production structure, double deflation and real value-added, measurement of total productivity, and duality between direct and conditional indirect utility functions. The book then examines the estimation techniques for the elasticity of substitution and other production parameters and measurement of the elasticity of factor substitution and bias of technical change. The publication takes a look at the identification of technical change in the electricity generating industry, factor substitution in electricity generation, and the effectiveness of rate-of-return regulation. Topics include statistical tests of regulatory effectiveness, profit function for a regulated firm, tests of the structure of technology, identification problems in the measurement of technical change, and measurement of disembodied technical change. The selection is a valuable source of information for economists and researchers interested in production economics.
Author: E. B. Dynkin
Publisher: Springer Science & Business Media
ISBN: 3662000318
Category : Mathematics
Languages : en
Pages : 377
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Book Description
The modem theory of Markov processes has its origins in the studies of A. A. MARKOV (1906-1907) on sequences of experiments "connected in a chain" and in the attempts to describe mathematically the physical phenomenon known as Brownian motion (L. BACHELlER 1900, A. EIN STEIN 1905). The first correct mathematical construction of a Markov process with continuous trajectories was given by N. WIENER in 1923. (This process is often called the Wiener process.) The general theory of Markov processes was developed in the 1930's and 1940's by A. N. KOL MOGOROV, W. FELLER, W. DOEBLlN, P. LEVY, J. L. DOOB, and others. During the past ten years the theory of Markov processes has entered a new period of intensive development. The methods of the theory of semigroups of linear operators made possible further progress in the classification of Markov processes by their infinitesimal characteristics. The broad classes of Markov processes with continuous trajectories be came the main object of study. The connections between Markov pro cesses and classical analysis were further developed. It has become possible not only to apply the results and methods of analysis to the problems of probability theory, but also to investigate analytic problems using probabilistic methods. Remarkable new connections between Markov processes and potential theory were revealed. The foundations of the theory were reviewed critically: the new concept of strong Markov process acquired for the whole theory of Markov processes great importance.
