Foundations of Mathematical Economics

Author: Michael Carter
Publisher: MIT Press
ISBN: 9780262531924
Category : Business & Economics
Languages : en
Pages : 678

Book Description
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.

Mathematical Methods and Models for Economists

Author: Angel de la Fuente
Publisher: Cambridge University Press
ISBN: 9780521585293
Category : Business & Economics
Languages : en
Pages : 630

Book Description
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

Methods of Mathematical Economics

Author: Joel N. Franklin
Publisher: Springer
ISBN: 3662253178
Category : Mathematics
Languages : en
Pages : 307

Book Description
In 1924 the firm of Julius Springer published the first volume of Methods of Mathematical Physics by Richard Courant and David Hilbert. In the preface, Courant says this: Since the seventeenth century, physical intuition has served as a vital source for mathematical problems and methods. Recent trends and fashions have, however, weakened the connection between mathematics and physics; mathematicians, turning away from the roots of mathematics in intuition, have concentrated on refinement and emphasized the postulational side of mathematics, and at times have overlooked the unity of their science with physics and other fields. In many cases, physicists have ceased to appreciate the attitudes of mathematicians. This rift is unquestionably a serious threat to science as a whole; the broad stream of scientific development may split into smaller and smaller rivulets and dry out. It seems therefore important to direct our efforts toward reuniting divergent trends by clarifying the common features and interconnections of many distinct and diverse scientific facts. Only thus can the student attain some mastery of the material and the basis be prepared for further organic development of research. The present work is designed to serve this purpose for the field of mathe matical physics . . . . Completeness is not attempted, but it is hoped that access to a rich and important field will be facilitated by the book. When I was a student, the book of Courant and Hilbert was my bible.

Schaum's Outline of Introduction to Mathematical Economics, 3rd Edition

Author: Edward Dowling
Publisher: McGraw Hill Professional
ISBN: 0071705074
Category : Study Aids
Languages : en
Pages : 553

Book Description
The ideal review for your intro to mathematical economics course More than 40 million students have trusted Schaum’s Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum’s Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice. Outline format supplies a concise guide to the standard college courses in mathematical economics 710 solved problems Clear, concise explanations of all mathematical economics concepts Supplements the major bestselling textbooks in economics courses Appropriate for the following courses: Introduction to Economics, Economics, Econometrics, Microeconomics, Macroeconomics, Economics Theories, Mathematical Economics, Math for Economists, Math for Social Sciences Easily understood review of mathematical economics Supports all the major textbooks for mathematical economics courses

Mathematics for Economics

Author: Michael Hoy
Publisher: MIT Press
ISBN: 9780262582018
Category : Business & Economics
Languages : en
Pages : 164

Book Description
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.

Instructor's Manual to Accompany Fundamental Methods of Mathematical Economics

Author: Alpha C. Chiang
Publisher:
ISBN: 9780070107861
Category : Economics, Mathematical
Languages : en
Pages : 116

Book Description

Tales From My First 90 Years

Author: Alpha C Chiang
Publisher: World Scientific
ISBN: 9811221014
Category : Biography & Autobiography
Languages : en
Pages : 571

Book Description
Alpha C Chiang, a renowned economist, and Professor Emeritus of Economics at the University of Connecticut, is best-known for his classic textbook — Fundamental Methods of Mathematical Economics.In this memoirs, he tells the entertaining, scary, embarrassing, glorifying and surreal tales that colored his life.On the academic side, Alpha describes in detail his scholastic journey, including why and how he created one of the most popular books on mathematical methods in economics, as well as the experiences of his teaching career. On the nonacademic side, he describes his ventures into his many hobbies, the spices of his life, including Chinese opera, ballroom dancing, painting and calligraphy, photography, piano, music composition, playwriting, and even magic. Such tales round out the depiction of a colorful life.What's behind his unusual name, Alpha? What schooling disaster tripped him at a young age? What surreal occurrence did he experience at a cliff at age 8? What major miracle changed his family? How did he become a loan shark when he was a graduate student at Columbia University? What Hollywood glamour star mysteriously materialized within inches of him when he was working on a TV show in his student days? How did he conquer a serious phobia and eventually become an acclaimed professor? What motivated his writing of his celebrated book? And what funny, embarrassing, and memorable events occurred in his teaching career?This book is a unique story about a unique life.

Essential Mathematics for Economics and Business

Author: Teresa Bradley
Publisher: John Wiley & Sons
ISBN: 1118358295
Category : Business & Economics
Languages : en
Pages : 693

Book Description
Essential Mathematics for Economics and Business is established as one of the leading introductory textbooks on mathematics for students of business and economics. Combining a user–friendly approach to mathematics with practical applications to the subjects, the text provides students with a clear and comprehensible guide to mathematics. The fundamental mathematical concepts are explained in a simple and accessible style, using a wide selection of worked examples, progress exercises and real–world applications. New to this Edition Fully updated text with revised worked examples and updated material on Excel and Powerpoint New exercises in mathematics and its applications to give further clarity and practice opportunities Fully updated online material including animations and a new test bank The fourth edition is supported by a companion website at www.wiley.com/college/bradley, which contains: Animations of selected worked examples providing students with a new way of understanding the problems Access to the Maple T.A. test bank, which features over 500 algorithmic questions Further learning material, applications, exercises and solutions. Problems in context studies, which present the mathematics in a business or economics framework. Updated PowerPoint slides, Excel problems and solutions. "The text is aimed at providing an introductory-level exposition of mathematical methods for economics and business students. In terms of level, pace, complexity of examples and user-friendly style the text is excellent - it genuinely recognises and meets the needs of students with minimal maths background." —Colin Glass, Emeritus Professor, University of Ulster "One of the major strengths of this book is the range of exercises in both drill and applications. Also the 'worked examples' are excellent; they provide examples of the use of mathematics to realistic problems and are easy to follow." —Donal Hurley, formerly of University College Cork "The most comprehensive reader in this topic yet, this book is an essential aid to the avid economist who loathes mathematics!" —Amazon.co.uk

Mathematical Methods of Game and Economic Theory

Author: Jean-Pierre Aubin
Publisher: Courier Corporation
ISBN: 048646265X
Category : Mathematics
Languages : en
Pages : 658

Book Description
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.

A First Course in Mathematical Economics

Author: Sunanda Roy
Publisher: Cambridge Scholars Publishing
ISBN: 1527548538
Category : Business & Economics
Languages : en
Pages : 364

Book Description
The book studies a set of mathematical tools and techniques most necessary for undergraduate economics majors as they transition from largely non-technical first-year principles courses into calculus-based upper-level courses in economics. The book’s presentation style places more emphasis on the intuition underlying the mathematical concepts and results discussed and less on proofs and technical details. Its discussion topics have been chosen in terms of their immediate usefulness for beginners, while examples and applications are drawn from material that is familiar from introductory economics courses.