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Author: Angel de la Fuente
Publisher: Cambridge University Press
Published: 2000-01-28
Total Pages: 630
ISBN-13: 9780521585293
DOWNLOAD EBOOK →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
Published: 2001-10-26
Total Pages: 678
ISBN-13: 9780262531924
DOWNLOAD EBOOK →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: Stephen Glaister
Publisher: Wiley-Blackwell
Published: 1991-01-15
Total Pages: 272
ISBN-13: 9780631137122
DOWNLOAD EBOOK →Author: Jean-Pierre Aubin
Publisher: Courier Corporation
Published: 2007-01-01
Total Pages: 658
ISBN-13: 048646265X
DOWNLOAD EBOOK →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: Martin Anthony
Publisher: Cambridge University Press
Published: 1996-07-13
Total Pages:
ISBN-13: 1139643266
DOWNLOAD EBOOK →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: Mik Wisniewski
Publisher: McGraw-Hill Book Company Limited
Published: 1996
Total Pages: 375
ISBN-13: 9780077091095
DOWNLOAD EBOOK →This text introduces undergraduate students studying economics to a useful set of analytical tools and mathematical techniques.
Author: Akihito Asano
Publisher: Cambridge University Press
Published: 2012-11-08
Total Pages: 285
ISBN-13: 1107007607
DOWNLOAD EBOOK →A concise, accessible introduction to maths for economics with lots of practical applications to help students learn in context.
Author: James Bergin
Publisher: Routledge
Published: 2015-01-09
Total Pages: 571
ISBN-13: 1317820150
DOWNLOAD EBOOK →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.
Author: Kenneth L. Judd
Publisher: MIT Press
Published: 2023-04-04
Total Pages: 657
ISBN-13: 0262547740
DOWNLOAD EBOOK →To harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents techniques from the numerical analysis and applied mathematics literatures and shows how to use them in economic analyses. The book is divided into five parts. Part I provides a general introduction. Part II presents basics from numerical analysis on R^n, including linear equations, iterative methods, optimization, nonlinear equations, approximation methods, numerical integration and differentiation, and Monte Carlo methods. Part III covers methods for dynamic problems, including finite difference methods, projection methods, and numerical dynamic programming. Part IV covers perturbation and asymptotic solution methods. Finally, Part V covers applications to dynamic equilibrium analysis, including solution methods for perfect foresight models and rational expectation models. A website contains supplementary material including programs and answers to exercises.
Author: Edward T. Dowling
Publisher: McGraw Hill Professional
Published: 2009-12-18
Total Pages: 396
ISBN-13: 0071702466
DOWNLOAD EBOOK →Confused by the math of business and economics? Problem solved. Schaum's Outline of Mathematical Methods for Business and Economics reviews the mathematical tools, topics, and techniques essential for success in business and economics today. The theory and solved problem format of each chapter provides concise explanations illustrated by examples, plus numerous problems with fully worked-out solutions. And you don't have to know advanced math beyond what you learned high school. The pedagogy enables you to progress at your own pace and adapt the book to your own needs.
