Economics for Mathematicians

by John William Scott Cassels

Author	: John William Scott Cassels
Publisher	: Cambridge University Press
Total Pages	: 161
Release	: 1981-12-10
Genre	: Business & Economics
ISBN	: 052128614X

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This is the expanded notes of a course intended to introduce students specializing in mathematics to some of the central ideas of traditional economics. The book should be readily accessible to anyone with some training in university mathematics; more advanced mathematical tools are explained in the appendices. Thus this text could be used for undergraduate mathematics courses or as supplementary reading for students of mathematical economics.

Mathematics for Economics

by Michael Hoy

Author	: Michael Hoy
Publisher	: MIT Press
Total Pages	: 164
Release	: 2001
Genre	: Business & Economics
ISBN	: 9780262582018

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This text offers a presentation of the mathematics required to tackle problems in economic analysis. After a review of the fundamentals of sets, numbers, and functions, it covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics.

An Introduction to Mathematics for Economics

by Akihito Asano

Author	: Akihito Asano
Publisher	: Cambridge University Press
Total Pages	: 285
Release	: 2012-11-08
Genre	: Business & Economics
ISBN	: 1107007607

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A concise, accessible introduction to maths for economics with lots of practical applications to help students learn in context.

Mathematical Economics

by Kam Yu

Author	: Kam Yu
Publisher	: Springer Nature
Total Pages	: 223
Release	: 2019-11-01
Genre	: Mathematics
ISBN	: 3030272893

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This textbook provides a one-semester introduction to mathematical economics for first year graduate and senior undergraduate students. Intended to fill the gap between typical liberal arts curriculum and the rigorous mathematical modeling of graduate study in economics, this text provides a concise introduction to the mathematics needed for core microeconomics, macroeconomics, and econometrics courses. Chapters 1 through 5 builds students’ skills in formal proof, axiomatic treatment of linear algebra, and elementary vector differentiation. Chapters 6 and 7 present the basic tools needed for microeconomic analysis. Chapter 8 provides a quick introduction to (or review of) probability theory. Chapter 9 introduces dynamic modeling, applicable in advanced macroeconomics courses. The materials assume prerequisites in undergraduate calculus and linear algebra. Each chapter includes in-text exercises and a solutions manual, making this text ideal for self-study.

Mathematical Methods and Models for Economists

by Angel de la Fuente

Author	: Angel de la Fuente
Publisher	: Cambridge University Press
Total Pages	: 630
Release	: 2000-01-28
Genre	: Business & Economics
ISBN	: 9780521585293

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A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

Mathematical Methods of Game and Economic Theory

by Jean-Pierre Aubin

Author	: Jean-Pierre Aubin
Publisher	: Courier Corporation
Total Pages	: 658
Release	: 2007-01-01
Genre	: Mathematics
ISBN	: 048646265X

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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.

Essential Mathematics for Economics and Business

by Teresa Bradley

Author	: Teresa Bradley
Publisher	: John Wiley & Sons
Total Pages	: 693
Release	: 2013-05-06
Genre	: Business & Economics
ISBN	: 1118358295

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Essential Mathematics for Economics and Business is established as one of the leading introductory textbooks on mathematics for students of business and economics. Combining a user–friendly approach to mathematics with practical applications to the subjects, the text provides students with a clear and comprehensible guide to mathematics. The fundamental mathematical concepts are explained in a simple and accessible style, using a wide selection of worked examples, progress exercises and real–world applications. New to this Edition Fully updated text with revised worked examples and updated material on Excel and Powerpoint New exercises in mathematics and its applications to give further clarity and practice opportunities Fully updated online material including animations and a new test bank The fourth edition is supported by a companion website at www.wiley.com/college/bradley, which contains: Animations of selected worked examples providing students with a new way of understanding the problems Access to the Maple T.A. test bank, which features over 500 algorithmic questions Further learning material, applications, exercises and solutions. Problems in context studies, which present the mathematics in a business or economics framework. Updated PowerPoint slides, Excel problems and solutions. "The text is aimed at providing an introductory-level exposition of mathematical methods for economics and business students. In terms of level, pace, complexity of examples and user-friendly style the text is excellent - it genuinely recognises and meets the needs of students with minimal maths background." —Colin Glass, Emeritus Professor, University of Ulster "One of the major strengths of this book is the range of exercises in both drill and applications. Also the 'worked examples' are excellent; they provide examples of the use of mathematics to realistic problems and are easy to follow." —Donal Hurley, formerly of University College Cork "The most comprehensive reader in this topic yet, this book is an essential aid to the avid economist who loathes mathematics!" —Amazon.co.uk

Advanced Mathematical Economics

by Rakesh V. Vohra

Author	: Rakesh V. Vohra
Publisher	: Psychology Press
Total Pages	: 212
Release	: 2005
Genre	: Business & Economics
ISBN	: 9780415700085

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This textbook presents students with all they need for advancing in mathematical economics. Higher level undergraduates as well as postgraduate students in mathematical economics will find this book extremely useful.

Philosophy of Mathematics and Economics

by Thomas A. Boylan

Author	: Thomas A. Boylan
Publisher	: Routledge
Total Pages	: 307
Release	: 2018-04-09
Genre	: Business & Economics
ISBN	: 1351124544

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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.