[PDF] Mathematics And Methodology For Economics eBook

Author : Wolfgang Eichhorn
Publisher : Springer
Page : 630 pages
File Size : 11,75 MB
Release : 2019-03-21
Category : Business & Economics
ISBN : 9783319794723

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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.

Author : Angel de la Fuente
Publisher : Cambridge University Press
Page : 630 pages
File Size : 41,72 MB
Release : 2000-01-28
Category : 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.

Author : Michael Carter
Publisher : MIT Press
Page : 678 pages
File Size : 33,62 MB
Release : 2001-10-26
Category : Business & Economics
ISBN : 9780262531924

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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.

Author : Martin Anthony
Publisher : Cambridge University Press
Page : 414 pages
File Size : 37,14 MB
Release : 1996-07-13
Category : Mathematics
ISBN : 1139643266

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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 : Jean-Pierre Aubin
Publisher : Courier Corporation
Page : 658 pages
File Size : 35,84 MB
Release : 2007-01-01
Category : 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.

Author : Akihito Asano
Publisher : Cambridge University Press
Page : 285 pages
File Size : 50,56 MB
Release : 2012-11-08
Category : 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.

Author : Michael Hoy
Publisher : MIT Press
Page : 164 pages
File Size : 13,47 MB
Release : 2001
Category : 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.

Author : Adam Ostaszewski
Publisher : Wiley-Blackwell
Page : 532 pages
File Size : 21,37 MB
Release : 1993-09-28
Category : Business & Economics
ISBN : 9780631180562

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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 : Kelvin Lancaster
Publisher : Courier Corporation
Page : 450 pages
File Size : 30,40 MB
Release : 2012-10-10
Category : Mathematics
ISBN : 0486145042

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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 : James Bergin
Publisher : Routledge
Page : 571 pages
File Size : 18,65 MB
Release : 2015-01-09
Category : Business & Economics
ISBN : 1317820150

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Mathematics for Economists with Applications provides detailed coverage of the mathematical techniques essential for undergraduate and introductory graduate work in economics, business and finance. Beginning with linear algebra and matrix theory, the book develops the techniques of univariate and multivariate calculus used in economics, proceeding to discuss the theory of optimization in detail. Integration, differential and difference equations are considered in subsequent chapters. Uniquely, the book also features a discussion of statistics and probability, including a study of the key distributions and their role in hypothesis testing. Throughout the text, large numbers of new and insightful examples and an extensive use of graphs explain and motivate the material. Each chapter develops from an elementary level and builds to more advanced topics, providing logical progression for the student, and enabling instructors to prescribe material to the required level of the course. With coverage substantial in depth as well as breadth, and including a companion website at www.routledge.com/cw/bergin, containing exercises related to the worked examples from each chapter of the book, Mathematics for Economists with Applications contains everything needed to understand and apply the mathematical methods and practices fundamental to the study of economics.