Mathematics for Economists with Applications

Author: James Bergin
Publisher: Routledge
ISBN: 1317820150
Format: PDF, Mobi
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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.

Problems Book to Accompany Mathematics for Economists

Author: Tamara Todorova
Publisher: John Wiley & Sons
ISBN: 0470591811
Format: PDF, Kindle
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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.

Applications of Mathematics in Economics

Author: Warren Page
Publisher: MAA
ISBN: 088385192X
Format: PDF, Docs
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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.

Basic Mathematics for Economists

Author: Mike Rosser
Publisher: Routledge
ISBN: 1317280849
Format: PDF, ePub
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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 and Methodology for Economics

Author: Wolfgang Eichhorn
Publisher: Springer
ISBN: 331923353X
Format: PDF, ePub, Docs
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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.

Real Analysis with Economic Applications

Author: Efe A. Ok
Publisher: Princeton University Press
ISBN: 1400840899
Format: PDF, ePub
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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.

Mathematics for Economists

Author: Carl P. Simon
Publisher: W. W. Norton
ISBN: 9780393957334
Format: PDF, ePub
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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.

Mathematics for Economics

Author: Michael Hoy
Publisher: MIT Press
ISBN: 026229480X
Format: PDF, ePub, Docs
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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 http://mitpress.mit.edu/math_econ3 for complete details.

Mathematical Economics

Author: Akira Takayama
Publisher: Cambridge University Press
ISBN: 9780521314985
Format: PDF, ePub
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This book provides a systematic exposition of mathematical economics, presenting and surveying existing theories and showing ways in which they can be extended. One of its strongest features is that it emphasises the unifying structure of economic theory in such a way as to provide the reader with the technical tools and methodological approaches necessary for undertaking original research. The author offers explanations and discussion at an accessible and intuitive level providing illustrative examples. He begins the work at an elementary level and progessively takes the reader to the frontier of current research. This second edition brings the reader fully up to date with recent research in the field.