- Hardcover: 832 pages
- Publisher: Princeton University Press (January 22, 2007)
- Language: English
- ISBN-10: 0691117683
- ISBN-13: 978-0691117683
- Product Dimensions: 6.4 x 1.6 x 9.3 inches
- Shipping Weight: 2.7 pounds (View shipping rates and policies)
- Average Customer Review: 13 customer reviews
- Amazon Best Sellers Rank: #376,005 in Books (See Top 100 in Books)
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Real Analysis with Economic Applications
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"The book is intended as a textbook on real analysis for graduate students in economics. It is largely graduate level mathematics, and the students should have a solid undergraduate real analysis background. . . . The author's writing style is . . . in general quite attractive. The book should be quite successful for its intended purpose."--Gerald A. Heuer, Zentralblatt MATH
"Important and commendable, this indispensable resource should be highly prized by all concerned with courses on mathematics for economists and by graduate students working on economic theory. Rarely do books meet such high aspirations and carry out their aims, yet this one certainly does. Well written in an engaging style and impressively researched in the requirements of graduate students of economics and finance, Real Analysis with Economic Applications is sure to become the definitive work for its intended audience. Real Analysis with Economic Applications with its large number of economics applications and variety of exercises represents the single most important mathematical source for students of economics applications and it will be the book, for a long time to come, to which they will turn with confidence, as well as pleasure, in all questions of economic applications."--Current Engineering Practice
From the Back Cover
"Because of its comprehensive coverage of the basic topics of real analysis that are of primary interest to economists, this is a much-needed contribution to the current selection of mathematics textbooks for students of economics, and it will be a good addition to any economist's library. It includes a large number of economics applications that will motivate students to learn the math, and its number and variety of exercises--forty to fifty in each chapter--is a further asset."--Susan Elmes, Columbia University
"This book is poised to be a standard reference. Its author gets high marks for care of execution and obvious devotion to, and command of, the topics."--Wei Xiong, Princeton University
"This very well written book displays its author's engaging style, and offers interesting questions between topics that make them entertaining to read through."--Darrell Duffie, Stanford University, author of Dynamic Asset Pricing Theory
"The idea of doing such a math book directed toward graduate students of economics and finance is an excellent one. There are many students who are interested in this topic, and--until now--the existing math books have not directed their examples and exercises toward an economics approach."--Salih Neftci, City University of New York
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Top customer reviews
It must be said that this is not an elementary real analysis book. If you have zero experience with real analysis you'll find this book hard to read. The author lists some prerequisites:
-Every monotonic sequence of real numbers in a closed and bounded interval converges in that interval.
-Every concave function defined on an open interval is continuos and quasiconcave.
-Every differentiable function on R is continuous, but not conversely.
-Every continuous real function defined on a closed and bounded interval attains its maximum.
-A set of vectors that spans Rn has at least n vectors.
-A linear function defined on Rn is continuous.
-The (Rieman) integral of every continuous function defined on a closed and bounded interval equals a finite number.
-The fundamental theorem od calculus
-The Mean value theorem.
According to the author, if you can sketch a quick informal argument regarding the validity of about half of them you are well prepared to read this book. All of these results are proved in the book.
The book covers topics that are well beyond classical introductory texts in real analysis, like Rudin.
If you are looking for a shortcut to understanding Mas-Colell's Microecon textbook, this is not the way to go. Of course, if you manage to read and understand this book, Microeconomics should be no problem. But this will take you a lot of time and effort.
If you already have some background in math, this is a great reference for concepts, theorems and proofs.
This is a must have for economists wishing to understand in depht graduate level econ textbooks
That being said, I am trained to read math books. I prefer a certain style, clarity and mathematical writing. For a purely economics student I could see how this book would be easier to read. I give it 4 stars because while I pointed out one downfall it is not that big of a downfall. A lot of the topics in this book are very well covered. And the applications to economics are very good. I would buy it again and recommend it to someone pursuing their PhD in economics.