Author : Angel de la Fuente
Publisher : Cambridge University Press
Page : 630 pages
File Size : 29,83 MB
Release : 2000-01-28
Category : 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 : Mik Wisniewski
Publisher : McGraw-Hill Book Company Limited
Page : 375 pages
File Size : 21,51 MB
Release : 1996
Category : Business & Economics
ISBN : 9780077091095
This text introduces undergraduate students studying economics to a useful set of analytical tools and mathematical techniques.
Author : J. Colin Glass
Publisher :
Page : 300 pages
File Size : 11,78 MB
Release : 1980
Category : Economics
ISBN : 9780070841109
Author : Jean-Pierre Aubin
Publisher : Courier Corporation
Page : 658 pages
File Size : 36,87 MB
Release : 2007-01-01
Category : Mathematics
ISBN : 048646265X
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 : Dean Corbae
Publisher : Princeton University Press
Page : 696 pages
File Size : 44,22 MB
Release : 2009-02-17
Category : 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 : Akihito Asano
Publisher : Cambridge University Press
Page : 285 pages
File Size : 47,1 MB
Release : 2012-11-08
Category : Business & Economics
ISBN : 1107007607
A concise, accessible introduction to maths for economics with lots of practical applications to help students learn in context.
Author : Michael Carter
Publisher : MIT Press
Page : 678 pages
File Size : 47,47 MB
Release : 2001-10-26
Category : 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 : Belal Ehsan Baaquie
Publisher : Springer Nature
Page : 439 pages
File Size : 32,56 MB
Release : 2020-08-10
Category : Business & Economics
ISBN : 9811566119
Given the rapid pace of development in economics and finance, a concise and up-to-date introduction to mathematical methods has become a prerequisite for all graduate students, even those not specializing in quantitative finance. This book offers an introductory text on mathematical methods for graduate students of economics and finance–and leading to the more advanced subject of quantum mathematics. The content is divided into five major sections: mathematical methods are covered in the first four sections, and can be taught in one semester. The book begins by focusing on the core subjects of linear algebra and calculus, before moving on to the more advanced topics of probability theory and stochastic calculus. Detailed derivations of the Black-Scholes and Merton equations are provided – in order to clarify the mathematical underpinnings of stochastic calculus. Each chapter of the first four sections includes a problem set, chiefly drawn from economics and finance. In turn, section five addresses quantum mathematics. The mathematical topics covered in the first four sections are sufficient for the study of quantum mathematics; Black-Scholes option theory and Merton’s theory of corporate debt are among topics analyzed using quantum mathematics.
Author : Martin Anthony
Publisher : Cambridge University Press
Page : 414 pages
File Size : 41,65 MB
Release : 1996-07-13
Category : Mathematics
ISBN : 1139643266
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 : A. Simonovits
Publisher : Springer
Page : 308 pages
File Size : 14,34 MB
Release : 2000-06-05
Category : Business & Economics
ISBN : 0230513530
This book contains a concise description of important mathematical methods of dynamics and suitable economic models. It covers discrete as well as continuous-time systems, linear and nonlinear models. Mixing traditional and modern materials, the study covers dynamics with and without optimization, naive and rational expectations, respectively. In addition to standard models of growth and cycles, the book also contains original studies on control of a multisector economy and expectations-driven multicohort economy. Numerous examples, problems (with solutions) and figures complete the book.
