Mathematics for Modern Economics PDF Download
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Author: Chris Birchenhall
Publisher: Rowman & Littlefield Publishers
ISBN:
Category : Business & Economics
Languages : en
Pages : 450
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Book Description
Designed to give second-year undergraduates an intuitive understanding of basic mathematical techniques, and when and why they are applicable. Building on the traditional framework of calculus, the notion of a concave function is used to link the new algebraic methods with the more familiar graphical approachóand to introduce the modern use of duality in economic analysis. Final sections on consumer theory and the theory of the firm offer solutions to problems set earlier in the book. Contents: Sets, functions and their graphs; Differential calculus and local optima; Concave functions, global and constrained optima; Duality; Integration, first order differential and difference equations; Consumer theory and the theory of the firm; Appendix: Linear algebra^R
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: Adam Ostaszewski
Publisher: Wiley-Blackwell
ISBN: 9780631180562
Category : Business & Economics
Languages : en
Pages : 532
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Book Description
A valuable guide to the mathematical apparatus that underlies so much of modern economics. The approach to mathematics is rigorous and the mathematical techniques are always presented in the context of the economics problem they are used to solve. Students can gain insight into, and familiarity with, the mathematical models and methods involved in the transition from 'phenomenon' to quantitative statement.
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: 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
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: Jacob T. Schwartz
Publisher: Courier Dover Publications
ISBN: 0486828034
Category : Mathematics
Languages : en
Pages : 305
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Book Description
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.
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: Chris Birchenhall
Publisher: Rowman & Littlefield Publishers
ISBN:
Category : Business & Economics
Languages : en
Pages : 450
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Book Description
Designed to give second-year undergraduates an intuitive understanding of basic mathematical techniques, and when and why they are applicable. Building on the traditional framework of calculus, the notion of a concave function is used to link the new algebraic methods with the more familiar graphical approachóand to introduce the modern use of duality in economic analysis. Final sections on consumer theory and the theory of the firm offer solutions to problems set earlier in the book. Contents: Sets, functions and their graphs; Differential calculus and local optima; Concave functions, global and constrained optima; Duality; Integration, first order differential and difference equations; Consumer theory and the theory of the firm; Appendix: Linear algebra^R
Author: Mark Skousen
Publisher: Routledge
ISBN: 1000523896
Category : Business & Economics
Languages : en
Pages : 511
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Book Description
• The book is written in a lively style and includes text boxes highlighting little-known and often amusing facts about these famous economists, all of which add colour to the text • Provides a comprehensive overview of the historical development of economic thought and of its relevance to contemporary policy issues • Offers an Austrian economics perspective, in contrast to the competing textbooks • Updated to cover MMT (modern monetary theory), climate change, the COVID-19 pandemic; minimum wage debates, Schumpeter and socialism, Malthus and immigration, and more
