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What are some recommended mathematical economics books for someone looking to deepen their understanding of economic theory and analysis?
Some recommended mathematical economics books for deepening understanding of economic theory and analysis include "Microeconomic Theory" by Andreu Mas-Colell, Michael D. Whinston, and Jerry R. Green, "Mathematics for Economists" by Carl P. Simon and Lawrence Blume, and "Advanced Macroeconomics" by David Romer.
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What is the significance of the Weierstrass theorem in mathematical analysis?
The Weierstrass theorem is significant in mathematical analysis because it guarantees the existence of continuous functions that approximate any given function on a closed interval. This theorem is fundamental in understanding the behavior of functions and their approximation in calculus and analysis.
What is the origin development of mathematical economics?
I cannot quite understand your eaning of "origin". If you mean the first one in history of economics to had done mathematical analysis, it was ricardo when he was working on his incomplete theory of labour. But the first one to have done complete mathematical deuction was Thuen(not sure if I have spelled that wrong" a Gernman. Please correct me if I have said anything wrong.
Why is eonomics is an art and science?
The claim that economics is both an art and a science means that while there is enough real knowledge involved in economics to qualify it as a science, there is also not really enough knowledge that we can use mathematical analysis alone to arrive at reliable results, hence, economist have to rely upon more of a holistic understanding that is more typical of the arts than of the sciences.
What is mathematical economics?
Mathematical economics refers to the application of mathematical methods to represent economic theory or analyze problems posed in economics. Expositors maintain that it allows formulation and derivation of key relationships in the theory with clarity, generality, rigor, and simplicity. For example, Paul Samuelson's Foundations of Economic Analysis (1947) identifies a common mathematical structure across multiple fields in the subject. Mathematical economics, however, conventionally makes use of calculus and matrix algebra in economic analysis. These are prerequisites for formal study, not only in mathematical economics but in contemporary economic theory generally. Mathematical economics provides methods to model behavior in diverse, real world situations, including international climate agreements, reactions to changes in divorce laws, and pricing in the futures markets for commodities. Mathematics allows economists to form meaningful, testable propositions about wide-ranging and complex subjects which could not be adequately expressed informally. Further, the language of mathematics allows economists to make clear, specific, positive claims about controversial or contentious subjects that would be impossible without mathematics. source: wikipedia.
What is the contribution of paul samuelson to the economics discipline?
Paul Samuelson made significant contributions to economics by formalizing many economic theories through mathematical models, which helped to establish economics as a rigorous scientific discipline. His seminal work, "Foundations of Economic Analysis," introduced the use of calculus in economics, leading to the development of welfare economics and consumer theory. Samuelson also played a crucial role in the development of Keynesian economics and contributed to the understanding of public goods and the theory of revealed preference. His textbook, "Economics," became one of the most widely used introductory texts, influencing generations of economists.
What has the author Robert Dorfman written?
Robert Dorfman has written: 'Application of linear programming to the theory of the firm' -- subject(s): Economics, Mathematical, Industrial management, Mathematical Economics 'Prices and markets' -- subject(s): Microeconomics, Supply and demand, Prices, Price 'The price system' -- subject(s): Prices 'General equilibrium with public goods' 'Economic theory and public decisions' -- subject(s): Decision making, Economic policy, Economics, Economics, Mathematical, Mathematical Economics 'Linear programming and economic analysis' -- subject(s): Economics, Input-output analysis, Mathematical models
What has the author Paramsothy Silvapulle written?
Paramsothy Silvapulle has written: 'Testing stationary nonnested short memory against long memory processes' -- subject(s): Economics, Mathematical, Mathematical Economics, Regression analysis, Statistical hypothesis testing, Time-series analysis 'A Lagrange multiplier test for seasonal fractional integration' -- subject(s): Fractional integrals, Time-series analysis, Multiplier (Economics), Econometrics
What has the author Charalambos D Aliprantis written?
Charalambos D. Aliprantis has written: 'Locally solid Riesz spaces' -- subject(s): Riesz spaces 'Cones and order' -- subject(s): Cones (Operator theory), Ordered Linear topological spaces 'Problems in equilibrium theory' -- subject(s): Equilibrium (Economics), Mathematical Economics, Mathematical models, Problems, exercises 'Positive Operators, Riesz Spaces, and Economics' 'Infinite dimensional analysis' -- subject(s): Functional analysis, Mathematical Economics
What has the author David F Batten written?
David F. Batten has written: 'Spatial analysis of interacting economies' -- subject(s): Entropy (Information theory), Information theory in economics, Input-output analysis, Mathematical models, Regional economics 'Transportation for the Future' 'Discovering Artificial Economics'
What has the author Oskar Morgenstern written?
Oskar Morgenstern has written: 'Selected economic writings of Oskar Morgenstern' -- subject(s): Economics, Economics, Mathematical, Economists, Mathematical Economics 'General report on the economics of the peaceful uses of underground nuclear explosions' -- subject(s): Economic aspects, Economic aspects of Nuclear energy, Nuclear energy, Nuclear excavation, Underground nuclear explosions 'International financial transactions and business cycles' -- subject(s): Business cycles, Currency question, International economic relations 'Mathematical theory of expanding and contracting economies' -- subject(s): Mathematical models, Economics, Economic development 'Economic activity analysis' -- subject(s): Economics, Mathematical, Linear programming, Mathematical Economics 'Spieltheorie und Wirtschaftswissenschaft' -- subject(s): Economics, Mathematical, Game theory, Mathematical Economics, Supply and demand 'The question of national defense'
Why do we use tables and graphs in scientific experiments?
Mathematical analysis is tremendously important for understanding the result of an experiment.
Difference between statics and comparative static analysis in mathematical economics?
Statics is a branch of mathematics concerned with the analysis of loads or physical systems in equilibrium. Comparative static analysis is a branch of economics that compares two different economic outcomes, before and after a change of some kind in an outside parameter.
What is the significance of the Weierstrass theorem in mathematical analysis?
The Weierstrass theorem is significant in mathematical analysis because it guarantees the existence of continuous functions that approximate any given function on a closed interval. This theorem is fundamental in understanding the behavior of functions and their approximation in calculus and analysis.
What is the origin development of mathematical economics?
I cannot quite understand your eaning of "origin". If you mean the first one in history of economics to had done mathematical analysis, it was ricardo when he was working on his incomplete theory of labour. But the first one to have done complete mathematical deuction was Thuen(not sure if I have spelled that wrong" a Gernman. Please correct me if I have said anything wrong.
What has the author Christine Smith written?
Christine Smith has written: 'Integrated multiregion models for policy analysis' -- subject(s): Economic conditions, Input-output analysis, Mathematical models, Regional economics
Why is eonomics is an art and science?
The claim that economics is both an art and a science means that while there is enough real knowledge involved in economics to qualify it as a science, there is also not really enough knowledge that we can use mathematical analysis alone to arrive at reliable results, hence, economist have to rely upon more of a holistic understanding that is more typical of the arts than of the sciences.
What is the significance of the cosine infinite product in mathematical analysis?
The cosine infinite product is significant in mathematical analysis because it provides a way to express the cosine function as an infinite product of its zeros. This representation helps in understanding the behavior of the cosine function and its properties, making it a useful tool in various mathematical applications.
