Search results for: mathematics-for-economists-with-applications

Mathematics for Economists with Applications

Author : James Bergin
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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, 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.

Applications of Mathematics in Economics

Author : Warren Page
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Shows instructors what mathematics is used at the undergraduate level in various parts of economics. Separate sections provide students with opportunities to apply their mathematics in relevant economics contexts. Brings together many different mathematics applications to such varied economics topics.

Mathematics for Economists

Author : Carl P. Simon
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Mathematics for Economists, a new text for advanced undergraduate and beginning graduate students in economics, is a thoroughly modern treatment of the mathematics that underlies economic theory.

Basic Mathematics for Economists

Author : Mike Rosser
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Basic Mathematics for Economists, now in its 3rd edition, is a classic of its genre and this new edition builds on the success of previous editions. Suitable for students who may only have a basic mathematics background, as well as students who may have followed more advanced mathematics courses but who still want a clear explanation of fundamental concepts, this book covers all the basic tenets required for an understanding of mathematics and how it is applied in economics, finance and business. Starting with revisions of the essentials of arithmetic and algebra, students are then taken through to more advanced topics in calculus, comparative statics, dynamic analysis, and matrix algebra, with all topics explained in the context of relevant applications, New features in this third edition reflect the increased emphasis on finance in many economics and related degree courses, with fuller analysis of topics such as: savings and pension schemes, including draw down pensions asset valuation techniques for bond and share prices the application of integration to concepts in economics and finance input-output analysis, using spreadsheets to do matrix algebra calculations In developing new topics the book never loses sight of their applied context and examples are always used to help explain analysis. This book is the most logical, user-friendly book on the market and is usable for mathematics of economics, finance and business courses in all countries.

Mathematics for Economics

Author : Michael Hoy
File Size : 65.53 MB
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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.

Mathematical Methods and Models for Economists

Author : Angel de la Fuente
File Size : 64.71 MB
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A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

An Introduction to Mathematics for Economics

Author : Akihito Asano
File Size : 78.58 MB
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A concise, accessible introduction to maths for economics with lots of practical applications to help students learn in context.

Introductory Mathematics for Economics and Business

Author : K. Holden
File Size : 60.16 MB
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This is a fully revised edition of the successful text, Introductory Mathematics for Economists. Updated throughout, it covers the essential mathematics required by students of economics and business. The emphasis is on applying mathematics rather than providing theorems, and a wide range of applications are covered with detailed answers provided for many of the exercises. The book is structured, and the material deliberately selected, to increase in difficulty as the book progresses. Subjects covered include: algebra; linear equations, with immediate applications in simple economic models of markets and the national economy; natural generalizations of elementary matrix algebra and non-linear equations; applications in finance; the groundwork for calculus; profit maximization for a firm, simple inventory models, and other applications of marginal concepts; integration covering both standard analytical techniques and numerical methods; partial differentiation; linear programming; and dynamic relationships in continuous terms and in discrete terms. Three appendices provide extensive treatment of trigonometric functions, an introduction to set theory, and detailed answers to all exercises provided.

Problems Book to Accompany Mathematics for Economists

Author : Tamara Todorova
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In highly mathematical courses, it is a truism that students learn by doing, not by reading. Tamara Todorova's Problems Book to Accompany Mathematics for Economists provides a life-line for students seeking an extra leg up in challenging courses. Beginning with college-level mathematics, this comprehensive workbook presents an extensive number of economics–focused problem sets, with clear and detailed solutions for each one. By keeping the focus on economic applications, Todorova provides economics students with the mathematical tools they need for academic success.

Mathematics for Economics third edition

Author : Michael Hoy
File Size : 54.47 MB
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A new edition of a comprehensive undergraduate mathematics text for economics students. This text offers a comprehensive presentation of the mathematics required to tackle problems in economic analyses. To give a better understanding of the mathematical concepts, the text follows the logic of the development of mathematics rather than that of an economics course. The only prerequisite is high school algebra, but the book goes on to cover all the mathematics needed for undergraduate economics. It is also a useful reference for graduate students. After a review of the fundamentals of sets, numbers, and functions, the book covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics. To develop the student's problem-solving skills, the book works through a large number of examples and economic applications. This streamlined third edition offers an array of new and updated examples. Additionally, lengthier proofs and examples are provided on the book's website. The book and the web material are cross-referenced in the text. A student solutions manual is available, and instructors can access online instructor's material that includes solutions and PowerPoint slides. Visit for complete details.

Foundations of Mathematical Economics

Author : Michael Carter
File Size : 74.37 MB
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An economics-focused introduction to the mathematical foundations of the field.

Elements of Numerical Mathematical Economics with Excel

Author : Giovanni Romeo
File Size : 38.6 MB
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Elements of Numerical Mathematical Economics with Excel: Static and Dynamic Optimization shows readers how to apply static and dynamic optimization theory in an easy and practical manner, without requiring the mastery of specific programming languages that are often difficult and expensive to learn. Featuring user-friendly numerical discrete calculations developed within the Excel worksheets, the book includes key examples and economic applications solved step-by-step and then replicated in Excel. After introducing the fundamental tools of mathematical economics, the book explores the classical static optimization theory of linear and nonlinear programming, applying the core concepts of microeconomics and some portfolio theory. This provides a background for the more challenging worksheet applications of the dynamic optimization theory. The book also covers special complementary topics such as inventory modelling, data analysis for business and economics, and the essential elements of Monte Carlo analysis. Practical and accessible, Elements of Numerical Mathematical Economics with Excel: Static and Dynamic Optimization increases the computing power of economists worldwide. This book is accompanied by a companion website that includes Excel examples presented in the book, exercises, and other supplementary materials that will further assist in understanding this useful framework. Explains how Excel provides a practical numerical approach to optimization theory and analytics Increases access to the economic applications of this universally-available, relatively simple software program Encourages readers to go to the core of theoretical continuous calculations and learn more about optimization processes

Mathematics for Economics and Finance

Author : Martin Anthony
File Size : 44.55 MB
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An introduction to mathematical modelling in economics and finance.

Elements of Mathematical Economics

Author : A. Kooros
File Size : 61.8 MB
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Mathematics of Economics and Business

Author : Frank Werner
File Size : 36.18 MB
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For all students who wish to understand current economic and business literature, knowledge of mathematical methods has become a prerequisite. Clear and concise, with precise definitions and theorems, Werner and Sotskov cover all the major topics required to gain a firm grounding in this subject including sequences, series, applications in finance, functions, differentiations, differentials and difference equations, optimizations with and without constraints, integrations and much more. Containing exercises and worked examples, precise definitions and theorems as well as economic applications, this book provides the reader with a comprehensive understanding of the mathematical models and tools used in both economics and business.

Mathematical Analysis for Economists

Author : R. G. D. Allen
File Size : 55.2 MB
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MATHEMATICAL ANALYSIS FOR ECONOMISTS by R. G. D. ALLEN. Originally published in 1937. FOREWORD; THIS book, which is based on a series of lectures given at the London School of Economics annually since 1931, aims at providing a course of pure mathematics developed in the directions most useful to students of economics. At each stage the mathematical methods described are used in the elucidation of problems of economic theory. Illustrative examples are added to all chapters and it is hoped that the reader, in solving them, will become familiar with the mathematical tools and with their applications to concrete economic problems. The method of treatment rules out any attempt at a systematic development of mathematical economic theory but the essentials of such a theory are to be found either in the text or in the examples. I hope that the book will be useful to readers of different types. The earlier chapters are intended primarily for the student with no mathematical equipment other than that obtained, possibly many years ago, from a matriculation course. Such a student may need to accustom himself to the application of the elementary methods before proceeding to the more powerful processes described in the later chapters. The more advanced reader may use the early sections for purposes of revision and pass on quickly to the later work. The experienced mathematical economist may find the book as a whole of service for reference and discover new points in some of the chapters. I have received helpful advice and criticism from many mathe maticians and economists. I am particularly indebted to Professor A. L. Bowley and to Dr. J. Marschak and the book includes numerous modifications made as a result of their suggestions on reading the original manuscript. I am also indebted to Mr. G. J. Nash who has read the proofs and has detected a number of slips in my construction of the examples. R. G. D. ALLEN THE LONDON SCHOOL OF ECONOMICS October, 1937. Contents include: FOREWORD ----------v A SHORT BIBLIOGRAPHY - ..... xiv THE USE OF GREEK LETTERS IN MATHEMATICAL ANALYSIS - - ...... xvi I. NUMBERS AND VARIABLES -------1 1.1 Introduction ---------1 1.2 Numbers of various types ------3 1.3 The real number system -------6 1.4 Continuous and discontinuous variables ... - 7 1.5 Quantities and their measurement ..... 9 1.0 Units of measurement - - - - - - - 13 1.7 Derived quantities - - - - - - - - 14 1.8 The location of points in space - - - - - 1G 1.9 Va viable points and their co-ordinates 20 EXAMPLES 1 The measurement of quantities graphical methods ---------23 . JpOJ ACTIONS AND THEIR DIAGRAMMATIC REPRESENTATION 28 2.1 Definition and examples of functions 28 2.2 The graphs of functions - - - - - - - 32 2.3 Functions and curves - - - - - - - 3 5 2.4 Classification of functions - - - - - - 38 2.5 Function types - - - - - - - - 41 2.6 The symbolic representation of functions of any form - 45 2.7 The diagrammatic method - - - - - - 48 2.8 The solution of equations in one variable 50 2.9 Simultaneous equations in two variables 54 EXAMPLES II Functions and graphs the solutionjof equa- tions ......... 57 III. ELEMENTARY ANALYTICAL GEOMETRY 61 3.1 Introduction ......... 61 3.2 The gradient of a straight line ..... 03 3.3 The equation of a straight line - - - 66 viii CONTENTS CHAP. 3.4 The parabola 09 3.5 The rectangular hyperbola - - - - - - 72 3.6 The circle 75 3.7 Curve classes and curve systems . - ... 76 3.8 An economic problem in analytical geometry 80 EXAMPLES III--The straight line curves and curve systems 82 IV...

Essential Mathematics for Economic Analysis

Author : Knut Sydsaeter
File Size : 40.48 MB
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Essential Mathematics for Economic Analysis, 2nd Edition"" "Essential Mathematics for Economic Analysis, "2nd Edition, provides an invaluable introduction to the mathematical tools that undergraduate economists need. The coverage is comprehensive, ranging from elementary algebra to more advanced material, whilst focusing on all the core topics that are usually taught in undergraduate courses on mathematics for economists. FEATURES An intelligent approach to teaching mathematics, based on years of experience. Mathematical rigour and a strong focus on mathematical reasoning. Large selection of worked examples throughout the book. These are not just specific to economics, as most topics are first dealt with from a purely mathematical point of view before providing economic insight. Large number of problems for students to solve. Answers to selected questions included in the back of the book. CHANGES TO THIS EDITION New Chapter 17 on linear programming. All chapters revised and updated. Even more economic examples and problem material added. Extensive resources for students and lecturers on the companion website. 'The book is by far the best choice one can make for a course on mathematics for economists. It is exemplary in finding the right balance between mathematics and economic examples.' Dr. Roelof J. Stroeker, Erasmus University, Rotterdam. 'The writing style is superb. I found that the style of writing promotes interest and manages to allow intuitive understanding whilst not sacrificing mathematical precision and rigour.' Dr. Steven Cook, University of Wales, Swansea Knut Sydsaeter is a Professor of Mathematics in the Economics Department atthe University of Oslo, where, since 1965, he has had extensive experience in teaching mathematics for economists. He has also given graduate courses in dynamic optimization at Berkeley and Gothenborg. He has written and co-authored a number of books, of which several have been translated into many languages. In recent years he has been engaged in an attempt to improve the teaching of mathematics for economists in several African universities. Peter Hammond is a Professor of Economics at Stanford University, where he moved in 1979 after holding the same position at the University of Essex. He completed a BA in Mathematics and a PhD in Economics at the University of Cambridge. He has been an editor of the "Review of Economic Studies," of the Econometric Society Monograph Series, and served on the editorial boards of "Social Choice and Welfare "and the "Journal of Public Economic Theory." He has published more than 90 academic papers in journals and books, mostly on economic theory and mathematical economics. Also available: "Further Mathematics for Economic Analysis" by Sydsaeter, Hammond, Seierstad and Strom (ISBN 0 273 65576 0) "Further Mathematics for Economic Analysis" is a companion volume to "E""ssential Mathematics for Economic Analysis," It is intended for advanced undergraduate and graduate economics students whose requirements go beyond the material usually taught in undergraduate mathematics courses for economists. It presents most of the mathematical tools that are required for advanced courses in economic theory -- both micro and macro.

Introductory Mathematical Economics

Author : Adil H. Mouhammed
File Size : 80.25 MB
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This book provides both students and individuals with a simple and rigorous introduction to various mathematical techniques used in economic theory. It discusses the applications to macroeconomics and market models, and describes derivatives and their applications to economic theory.

Mathematics for Economics and Business

Author : Jean Soper
File Size : 43.86 MB
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This text offers the ideal approach for economics and business students seeking to understand the mathematics relevant to them. Each chapter demonstrates basic mathematical techniques, while also explaining the economic analysis and business context where each is used. By following the worked examples and tackling the practice problems, students will discover how to use and apply each of these techniques. Now in its second edition, the text features expanded summaries of economic analysis, new sections on matrix algebra and linear programming, and additional demonstrations of economics applications. Demonstrates mathematical techniques while explaining their economic and business applications Engages the reader with numerous worked examples and practice problems Features new sections on matrix algebra and linear programming Includes a companion website with the book, containing the award winning MathEcon software, Excel files, Powerpoint slides, all definitions and 'remember boxes', and additional practice questions

Real Analysis with Economic Applications

Author : Efe A. Ok
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There are many mathematics textbooks on real analysis, but they focus on topics not readily helpful for studying economic theory or they are inaccessible to most graduate students of economics. Real Analysis with Economic Applications aims to fill this gap by providing an ideal textbook and reference on real analysis tailored specifically to the concerns of such students. The emphasis throughout is on topics directly relevant to economic theory. In addition to addressing the usual topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calculus of variations. Efe Ok complements the mathematical development with applications that provide concise introductions to various topics from economic theory, including individual decision theory and games, welfare economics, information theory, general equilibrium and finance, and intertemporal economics. Moreover, apart from direct applications to economic theory, his book includes numerous fixed point theorems and applications to functional equations and optimization theory. The book is rigorous, but accessible to those who are relatively new to the ways of real analysis. The formal exposition is accompanied by discussions that describe the basic ideas in relatively heuristic terms, and by more than 1,000 exercises of varying difficulty. This book will be an indispensable resource in courses on mathematics for economists and as a reference for graduate students working on economic theory.