Mathematics for Modern Economics PDF Download
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Author: Chris Birchenhall
Publisher:
ISBN: 9780860030232
Category : Economics, Mathematical
Languages : en
Pages : 0
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Book Description
Author: Chris Birchenhall
Publisher:
ISBN: 9780860030232
Category : Economics, Mathematical
Languages : en
Pages : 0
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Book Description
Author: Geoffrey Martin Hodgson
Publisher: Edward Elgar Publishing
ISBN: 9781781000434
Category : Economics, Mathematical
Languages : en
Pages : 0
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Book Description
The appropriate role of mathematics in economics has been controversial for two hundred years, and has been a matter of ongoing debate as economics became more mathematical after the Second World War. Controversy has been heightened after extensive criticisms of models used for analysis, prediction and risk assessment prior to the great financial crash of 2008. In this topical collection, Professor Hodgson brings together the seminal classic and recent essays published since 1945 on the role of mathematics in economics, by leading authors including six Nobel Laureates, and from a variety of perspectives.
Author: E. Roy Weintraub
Publisher: Duke University Press
ISBN: 0822383802
Category : Business & Economics
Languages : en
Pages : 329
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Book Description
In How Economics Became a Mathematical Science E. Roy Weintraub traces the history of economics through the prism of the history of mathematics in the twentieth century. As mathematics has evolved, so has the image of mathematics, explains Weintraub, such as ideas about the standards for accepting proof, the meaning of rigor, and the nature of the mathematical enterprise itself. He also shows how economics itself has been shaped by economists’ changing images of mathematics. Whereas others have viewed economics as autonomous, Weintraub presents a different picture, one in which changes in mathematics—both within the body of knowledge that constitutes mathematics and in how it is thought of as a discipline and as a type of knowledge—have been intertwined with the evolution of economic thought. Weintraub begins his account with Cambridge University, the intellectual birthplace of modern economics, and examines specifically Alfred Marshall and the Mathematical Tripos examinations—tests in mathematics that were required of all who wished to study economics at Cambridge. He proceeds to interrogate the idea of a rigorous mathematical economics through the connections between particular mathematical economists and mathematicians in each of the decades of the first half of the twentieth century, and thus describes how the mathematical issues of formalism and axiomatization have shaped economics. Finally, How Economics Became a Mathematical Science reconstructs the career of the economist Sidney Weintraub, whose relationship to mathematics is viewed through his relationships with his mathematician brother, Hal, and his mathematician-economist son, the book’s author.
Author: Angel de la Fuente
Publisher: Cambridge University Press
ISBN: 9780521585293
Category : Business & Economics
Languages : en
Pages : 630
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Book Description
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
Author: Kelvin Lancaster
Publisher: Courier Corporation
ISBN: 0486145042
Category : Mathematics
Languages : en
Pages : 450
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Book Description
Graduate-level text provides complete and rigorous expositions of economic models analyzed primarily from the point of view of their mathematical properties, followed by relevant mathematical reviews. Part I covers optimizing theory; Parts II and III survey static and dynamic economic models; and Part IV contains the mathematical reviews, which range fromn linear algebra to point-to-set mappings.
Author: Martin Anthony
Publisher: Cambridge University Press
ISBN: 1139643266
Category : Mathematics
Languages : en
Pages : 414
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Book Description
Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.
Author: Charalambos D. Aliprantis
Publisher: Springer Science & Business Media
ISBN: 3662030047
Category : Business & Economics
Languages : en
Pages : 623
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Book Description
This text was born out of an advanced mathematical economics seminar at Caltech in 1989-90. We realized that the typical graduate student in mathematical economics has to be familiar with a vast amount of material that spans several traditional fields in mathematics. Much of the mate rial appears only in esoteric research monographs that are designed for specialists, not for the sort of generalist that our students need be. We hope that in a small way this text will make the material here accessible to a much broader audience. While our motivation is to present and orga nize the analytical foundations underlying modern economics and finance, this is a book of mathematics, not of economics. We mention applications to economics but present very few of them. They are there to convince economists that the material has so me relevance and to let mathematicians know that there are areas of application for these results. We feel that this text could be used for a course in analysis that would benefit math ematicians, engineers, and scientists. Most of the material we present is available elsewhere, but is scattered throughout a variety of sources and occasionally buried in obscurity. Some of our results are original (or more likely, independent rediscoveries). We have included some material that we cannot honestly say is neces sary to understand modern economic theory, but may yet prove useful in future research.
Author: Dean Corbae
Publisher: Princeton University Press
ISBN: 1400833086
Category : Business & Economics
Languages : en
Pages : 696
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Book Description
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: Mark Skousen
Publisher: Routledge
ISBN: 131745586X
Category : Business & Economics
Languages : en
Pages : 770
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Book Description
Here is a bold history of economics - the dramatic story of how the great economic thinkers built today's rigorous social science. Noted financial writer and economist Mark Skousen has revised and updated this popular work to provide more material on Adam Smith and Karl Marx, and expanded coverage of Joseph Stiglitz, 'imperfect' markets, and behavioral economics.This comprehensive, yet accessible introduction to the major economic philosophers of the past 225 years begins with Adam Smith and continues through the present day. The text examines the contributions made by each individual to our understanding of the role of the economist, the science of economics, and economic theory. To make the work more engaging, boxes in each chapter highlight little-known - and often amusing - facts about the economists' personal lives that affected their work.
Author: Malcolm Pemberton
Publisher: Manchester University Press
ISBN: 1526173522
Category : Mathematics
Languages : en
Pages : 1118
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Book Description
This book is a self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics, econometrics and finance. Building up gently from a very low level, the authors provide a clear, systematic coverage of calculus and matrix algebra. The second half of the book gives a thorough account of probability, dynamics and static and dynamic optimisation. The last four chapters are an accessible introduction to the rigorous mathematical analysis used in graduate-level economics. The emphasis throughout is on intuitive argument and problem-solving. All methods are illustrated by examples, exercises and problems selected from central areas of modern economic analysis. The book's careful arrangement in short chapters enables it to be used in a variety of course formats for students with or without prior knowledge of calculus, for reference and for self-study. The preface to the new edition and full table of contents are available from https://www.manchesterhive.com/page/mathematics-for-economists-supplementary-materials
