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Mathematical Methods And Economic Theory
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Book Synopsis Mathematical Methods and Economic Theory by : Anjan Mukherji
Download or read book Mathematical Methods and Economic Theory written by Anjan Mukherji and published by OUP India. This book was released on 2011-02-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Methods of Game and Economic Theory by : Jean-Pierre Aubin
Download or read book Mathematical Methods of Game and Economic Theory written by Jean-Pierre Aubin and published by Courier Corporation. This book was released on 2007-01-01 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Methods and Models for Economists by : Angel de la Fuente
Download or read book Mathematical Methods and Models for Economists written by Angel de la Fuente and published by Cambridge University Press. This book was released on 2000-01-28 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
Book Synopsis Mathematical Methods in Economics and Social Choice by : norman schofield
Download or read book Mathematical Methods in Economics and Social Choice written by norman schofield and published by Springer Science & Business Media. This book was released on 2004-03-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Introduction to Mathematical Analysis for Economic Theory and Econometrics by : Dean Corbae
Download or read book An Introduction to Mathematical Analysis for Economic Theory and Econometrics written by Dean Corbae and published by Princeton University Press. This book was released on 2009-02-17 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Mathematical Optimization and Economic Theory by : Michael D. Intriligator
Download or read book Mathematical Optimization and Economic Theory written by Michael D. Intriligator and published by SIAM. This book was released on 2002-01-01 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.
Book Synopsis Mathematical Methods in Theoretical Economics by : Erwin Klein
Download or read book Mathematical Methods in Theoretical Economics written by Erwin Klein and published by . This book was released on 1973 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Mathematical Economics by : Michael Carter
Download or read book Foundations of Mathematical Economics written by Michael Carter and published by MIT Press. This book was released on 2001-10-26 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.
Book Synopsis Mathematical Methods for Economic Theory 1 by : James C. Moore
Download or read book Mathematical Methods for Economic Theory 1 written by James C. Moore and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Methods for Economic Theory 2 by : James C. Moore
Download or read book Mathematical Methods for Economic Theory 2 written by James C. Moore and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Mathematical Methods in Economics by : Norman Schofield
Download or read book Mathematical Methods in Economics written by Norman Schofield and published by Routledge. This book was released on 2018-03-05 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lectures on the Mathematical Method in Analytical Economics by : Jacob T. Schwartz
Download or read book Lectures on the Mathematical Method in Analytical Economics written by Jacob T. Schwartz and published by Courier Dover Publications. This book was released on 2018-11-14 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics and Methodology for Economics by : Wolfgang Eichhorn
Download or read book Mathematics and Methodology for Economics written by Wolfgang Eichhorn and published by Springer. This book was released on 2016-02-11 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book about mathematics and methodology for economics is the result of the lifelong experience of the authors. It is written for university students as well as for students of applied sciences. This self-contained book does not assume any previous knowledge of high school mathematics and helps understanding the basics of economic theory-building. Starting from set theory it thoroughly discusses linear and non-linear functions, differential equations, difference equations, and all necessary theoretical constructs for building sound economic models. The authors also present a solid introduction to linear optimisation and game theory using production systems. A detailed discussion on market equilibrium, in particular on Nash Equilibrium, and on non-linear optimisation is also provided. Throughout the book the student is well supplied with numerous examples, some 2000 problems and their solutions to apply the knowledge to economic theories and models.
Book Synopsis Mathematical Methods and Theory in Games, Programming, and Economics: The theory of infinite games by : Samuel Karlin
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics: The theory of infinite games written by Samuel Karlin and published by . This book was released on 1959 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introductory Mathematical Economics by : D. Wade Hands
Download or read book Introductory Mathematical Economics written by D. Wade Hands and published by . This book was released on 1991 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics for Economics and Finance by : Michael Harrison
Download or read book Mathematics for Economics and Finance written by Michael Harrison and published by Routledge. This book was released on 2011-03-31 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to bring students of economics and finance who have only an introductory background in mathematics up to a quite advanced level in the subject, thus preparing them for the core mathematical demands of econometrics, economic theory, quantitative finance and mathematical economics, which they are likely to encounter in their final-year courses and beyond. The level of the book will also be useful for those embarking on the first year of their graduate studies in Business, Economics or Finance. The book also serves as an introduction to quantitative economics and finance for mathematics students at undergraduate level and above. In recent years, mathematics graduates have been increasingly expected to have skills in practical subjects such as economics and finance, just as economics graduates have been expected to have an increasingly strong grounding in mathematics. The authors avoid the pitfalls of many texts that become too theoretical. The use of mathematical methods in the real world is never lost sight of and quantitative analysis is brought to bear on a variety of topics including foreign exchange rates and other macro level issues.
Book Synopsis Schaum's Outline of Mathematical Methods for Business and Economics by : Edward T. Dowling
Download or read book Schaum's Outline of Mathematical Methods for Business and Economics written by Edward T. Dowling and published by McGraw Hill Professional. This book was released on 2009-12-18 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Confused by the math of business and economics? Problem solved. Schaum's Outline of Mathematical Methods for Business and Economics reviews the mathematical tools, topics, and techniques essential for success in business and economics today. The theory and solved problem format of each chapter provides concise explanations illustrated by examples, plus numerous problems with fully worked-out solutions. And you don't have to know advanced math beyond what you learned high school. The pedagogy enables you to progress at your own pace and adapt the book to your own needs.
