Advanced Mathematics For Economists
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Author | : Rakesh V. Vohra |
Publisher | : Psychology Press |
Total Pages | : 212 |
Release | : 2005 |
Genre | : Business & Economics |
ISBN | : 9780415700085 |
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.
Author | : Peter J. Lambert |
Publisher | : Wiley-Blackwell |
Total Pages | : 231 |
Release | : 1985-01-01 |
Genre | : Business & Economics |
ISBN | : 9780631141389 |
Author | : Michael Carter |
Publisher | : MIT Press |
Total Pages | : 678 |
Release | : 2001-10-26 |
Genre | : Business & Economics |
ISBN | : 9780262531924 |
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 | : Angel de la Fuente |
Publisher | : Cambridge University Press |
Total Pages | : 630 |
Release | : 2000-01-28 |
Genre | : Business & Economics |
ISBN | : 9780521585293 |
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
Author | : Michael Hoy |
Publisher | : MIT Press |
Total Pages | : 164 |
Release | : 2001 |
Genre | : Business & Economics |
ISBN | : 9780262582018 |
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 | : Akihito Asano |
Publisher | : Cambridge University Press |
Total Pages | : 285 |
Release | : 2012-11-08 |
Genre | : Business & Economics |
ISBN | : 1107007607 |
A concise, accessible introduction to maths for economics with lots of practical applications to help students learn in context.
Author | : Dean Corbae |
Publisher | : Princeton University Press |
Total Pages | : 696 |
Release | : 2009-02-17 |
Genre | : Business & Economics |
ISBN | : 1400833086 |
Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded in economics research today. Dean Corbae, Maxwell B. Stinchcombe, and Juraj Zeman equip students with the knowledge of real and functional analysis and measure theory they need to read and do research in economic and econometric theory. Unlike other mathematics textbooks for economics, An Introduction to Mathematical Analysis for Economic Theory and Econometrics takes a unified approach to understanding basic and advanced spaces through the application of the Metric Completion Theorem. This is the concept by which, for example, the real numbers complete the rational numbers and measure spaces complete fields of measurable sets. Another of the book's unique features is its concentration on the mathematical foundations of econometrics. To illustrate difficult concepts, the authors use simple examples drawn from economic theory and econometrics. Accessible and rigorous, the book is self-contained, providing proofs of theorems and assuming only an undergraduate background in calculus and linear algebra. Begins with mathematical analysis and economic examples accessible to advanced undergraduates in order to build intuition for more complex analysis used by graduate students and researchers Takes a unified approach to understanding basic and advanced spaces of numbers through application of the Metric Completion Theorem Focuses on examples from econometrics to explain topics in measure theory
Author | : James Bergin |
Publisher | : Routledge |
Total Pages | : 571 |
Release | : 2015-01-09 |
Genre | : Business & Economics |
ISBN | : 1317820150 |
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 | : Michael J. Panik |
Publisher | : CRC Press |
Total Pages | : 343 |
Release | : 2021-09-30 |
Genre | : Mathematics |
ISBN | : 1000408841 |
In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems. This book combines the areas of intermediate to advanced mathematics, optimization, and microeconomic decision making, and is suitable for advanced undergraduates and first-year graduate students. This text is highly readable, with all concepts fully defined, and contains numerous detailed example problems in both mathematics and microeconomic applications. Each section contains some standard, as well as more thoughtful and challenging, exercises. Solutions can be downloaded from the CRC Press website. All solutions are detailed and complete. Features Contains a whole spectrum of modern applicable mathematical techniques, many of which are not found in other books of this type. Comprehensive and contains numerous and detailed example problems in both mathematics and economic analysis. Suitable for economists and economics students with only a minimal mathematical background. Classroom-tested over the years when the author was actively teaching at the University of Hartford. Serves as a beginner text in optimization for applied mathematics students. Accompanied by several electronic chapters on linear algebra and matrix theory, nonsmooth optimization, economic efficiency, and distance functions available for free on www.routledge.com/9780367759018.
Author | : M. J. Rosser |
Publisher | : Psychology Press |
Total Pages | : 474 |
Release | : 1993 |
Genre | : Business & Economics |
ISBN | : 9780415084253 |
While economists are not always expected to be mathematical geniuses, it is generally accepted that some basic mathematical knowledge is necessary. Basic Mathematics for Economists recognizes that not everyone is comfortable with figures and aims to develop mathematical knowledge and build confidence in mature students and those without A-level maths, to the level required for a general economics degree course. The first chapters provide a gentle introduction, concentrating on revision of arithmetical and algebraic methods that students have probably learned but forgotten. Here, as throughout the book, the information is set out, where possible, in the context of applications in economics. As the book progresses, so the pace increases, as new information is gradually introduced. However, the techniques are kept as simple and relevant to economic use as possible, thus familiarizing students with practical usage as quickly as possible, while avoiding abstract techniques. Mike Rosser concentrates on those techniques which are likely to be useful to all students and avoids complex proofs and special cases.