Mathematics And Modern Economics PDF Download
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| Author | : Geoffrey Martin Hodgson |
| Publisher | : Edward Elgar Publishing |
| Total Pages | : 0 |
| Release | : 2012 |
| Genre | : Economics, Mathematical |
| ISBN | : 9781781000434 |
Download Mathematics and Modern Economics Book in PDF, ePub and Kindle
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 | : Chris Birchenhall |
| Publisher | : Rowman & Littlefield Publishers |
| Total Pages | : 444 |
| Release | : 1984 |
| Genre | : Business & Economics |
| ISBN | : |
Download Mathematics for Modern Economics Book in PDF, ePub and Kindle
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 | : D. Wade Hands |
| Publisher | : |
| Total Pages | : 488 |
| Release | : 1991 |
| Genre | : Business & Economics |
| ISBN | : |
Download Introductory Mathematical Economics Book in PDF, ePub and Kindle
| Author | : E. Roy Weintraub |
| Publisher | : Duke University Press |
| Total Pages | : 329 |
| Release | : 2002-05-28 |
| Genre | : Business & Economics |
| ISBN | : 0822383802 |
Download How Economics Became a Mathematical Science Book in PDF, ePub and Kindle
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 | : Adam Ostaszewski |
| Publisher | : Wiley-Blackwell |
| Total Pages | : 532 |
| Release | : 1993-09-28 |
| Genre | : Business & Economics |
| ISBN | : 9780631180562 |
Download Mathematics in Economics Book in PDF, ePub and Kindle
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 | : Malcolm Pemberton |
| Publisher | : Manchester University Press |
| Total Pages | : 1118 |
| Release | : 2023-11-10 |
| Genre | : Mathematics |
| ISBN | : 1526173522 |
Download Mathematics for economists Book in PDF, ePub and Kindle
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 | : Thomas A. Boylan |
| Publisher | : Routledge |
| Total Pages | : 307 |
| Release | : 2018-04-09 |
| Genre | : Business & Economics |
| ISBN | : 1351124544 |
Download Philosophy of Mathematics and Economics Book in PDF, ePub and Kindle
With the failure of economics to predict the recent economic crisis, the image of economics as a rigorous mathematical science has been subjected to increasing interrogation. One explanation for this failure is that the subject took a wrong turn in its historical trajectory, becoming too mathematical. Using the philosophy of mathematics, this unique book re-examines this trajectory. Philosophy of Mathematics and Economics re-analyses the divergent rationales for mathematical economics by some of its principal architects. Yet, it is not limited to simply enhancing our understanding of how economics became an applied mathematical science. The authors also critically evaluate developments in the philosophy of mathematics to expose the inadequacy of aspects of mainstream mathematical economics, as well as exploiting the same philosophy to suggest alternative ways of rigorously formulating economic theory for our digital age. This book represents an innovative attempt to more fully understand the complexity of the interaction between developments in the philosophy of mathematics and the process of formalisation in economics. Assuming no expert knowledge in the philosophy of mathematics, this work is relevant to historians of economic thought and professional philosophers of economics. In addition, it will be of great interest to those who wish to deepen their appreciation of the economic contours of contemporary society. It is also hoped that mathematical economists will find this work informative and engaging.
| Author | : Jacob T. Schwartz |
| Publisher | : Courier Dover Publications |
| Total Pages | : 305 |
| Release | : 2018-11-14 |
| Genre | : Mathematics |
| ISBN | : 0486828034 |
Download Lectures on the Mathematical Method in Analytical Economics Book in PDF, ePub and Kindle
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 | : J. E. Woods |
| Publisher | : |
| Total Pages | : 364 |
| Release | : 1978 |
| Genre | : Econometrics |
| ISBN | : 9780582446748 |
Download Mathematical Economics Book in PDF, ePub and Kindle
| Author | : Jaksa Cvitanic |
| Publisher | : MIT Press |
| Total Pages | : 528 |
| Release | : 2004-02-27 |
| Genre | : Business & Economics |
| ISBN | : 9780262033206 |
Download Introduction to the Economics and Mathematics of Financial Markets Book in PDF, ePub and Kindle
An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics. Introduction to the Economics and Mathematics of Financial Markets fills the longstanding need for an accessible yet serious textbook treatment of financial economics. The book provides a rigorous overview of the subject, while its flexible presentation makes it suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three different degrees of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way, the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics. The book is divided into three parts. The first part provides an introduction to basic securities and financial market organization, the concept of interest rates, the main mathematical models, and quantitative ways to measure risks and rewards. The second part treats option pricing and hedging; here and throughout the book, the authors emphasize the Martingale or probabilistic approach. Finally, the third part examines equilibrium models—a subject often neglected by other texts in financial mathematics, but included here because of the qualitative insight it offers into the behavior of market participants and pricing.
