This book provides a systematic exposition of mathematical economics, presenting and surveying existing theories and showing ways in which they can be extended. One of its strongest features is that it emphasises the unifying structure of economic theory in such a way as to provide the reader with the technical tools and methodological approaches necessary for undertaking original research. The author offers explanations and discussion at an accessible and intuitive level providing illustrative examples. He begins the work at an elementary level and progessively takes the reader to the frontier of current research. This second edition brings the reader fully up to date with recent research in the field.
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This systematic exposition and survey of mathematical economics emphasizes the unifying structures of economic theory.
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15 of 17 people found the following review helpful:
2.0 out of 5 stars
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This review is from: Mathematical Economics (Paperback)
Overall, this is a well-written book. It covers a variety of topics, from preference maximization through existence and stability of eq'ia, to optimal control and growth models.However, I'm not sure what its niche is -- what this book provides that others don't, or that it covers more thoroughly. If you want math, read Simon and Blume or a math book. If you want micro theory, read Mas-Collel or Silberberg. If you want neoclassical macro theory, read Sargent. For optimal control, read Kamien/Schwarz or Seierstad/Sydsaeter. This book covers selected topics from each. Though it covers them well, much is left out. Noticeably absent from the book is any uncertainty, randomness, or probability. There is also no game theory. These seek huge omissions for a book which seeks to show the usefulness of mathematical techniques in economic analysis. Notation is also a bit unusual. I was a bit confused by some of the author's own notation for partial orderings and Cartesian products.
10 of 12 people found the following review helpful:
5.0 out of 5 stars
Mathematical economics,
This review is from: Mathematical Economics (Paperback)
This is an excellent book for every economist who want to learn more than what is taught in classic courses. It is true that its lecture demands solid knoeledge of the topic, but the author gives full explanations and foundations after each teorem or development, and it has helped me to get the necessary mathematical skills for building models. If you are not sure of your math abilities, try first simon and blume ones, which is easier. I highly recommend it!
10 of 13 people found the following review helpful:
5.0 out of 5 stars
The best book in advanced Economics.,
This review is from: Mathematical Economics (Paperback)
Economists can be divided into those who have read "Mathematical Economics" and those who are going to read it. I believe this book can furhter your knowledge as no other book can do. Usually it takes many months, or even years to be fully understood. I would advice undergraduate students to start with books like K. Lancaster 's "Mathematical Economics" or maybe Simon and Blume's book, to get the best out of Takayama's wisdom. The challenge of reading this book is something that no good economists can avoid.
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Inside This Book
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First Sentence:
A set is a collection of objects (of any kind). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
modified golden rule path, cheaper point assumption, optimal stationary program, optimal feasible path, attainable path, attainable program, general production set, maximand function, unconstrained maximum problem, gross substitutability assumption, vector maximum problem, dominant diagonal matrices, dual stability theorem, balanced growth solution, rank constraint qualification, phase diagram technique, nonsatiation assumption, golden age paths, aggregate production set, successive principal minors, optimal growth problem, causal indeterminacy, turnpike theorem, free disposability, vanishing simultaneously Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Review of Economic Studies, Economic Journal, Quarterly Journal of Economics, Stanford University Press, Princeton University Press, International Economic Review, Mathematical Methods, American Economic Review, Clarendon Press, Purdue University, Social Sciences, Academic Press, Harvard University Press, Journal of Political Economy, Krannert Institute Paper, American Mathematical Society, Foundations of Economic Analysis, Modern Economics, Theory of Value, Englewood Cliffs, Non-linear Programming, Oxford University Press, Economic Studies Quarterly, Quantitative Economics New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
A set is a collection of objects (of any kind). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
modified golden rule path, cheaper point assumption, optimal stationary program, optimal feasible path, attainable path, attainable program, general production set, maximand function, unconstrained maximum problem, gross substitutability assumption, vector maximum problem, dominant diagonal matrices, dual stability theorem, balanced growth solution, rank constraint qualification, phase diagram technique, nonsatiation assumption, golden age paths, aggregate production set, successive principal minors, optimal growth problem, causal indeterminacy, turnpike theorem, free disposability, vanishing simultaneously Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Review of Economic Studies, Economic Journal, Quarterly Journal of Economics, Stanford University Press, Princeton University Press, International Economic Review, Mathematical Methods, American Economic Review, Clarendon Press, Purdue University, Social Sciences, Academic Press, Harvard University Press, Journal of Political Economy, Krannert Institute Paper, American Mathematical Society, Foundations of Economic Analysis, Modern Economics, Theory of Value, Englewood Cliffs, Non-linear Programming, Oxford University Press, Economic Studies Quarterly, Quantitative Economics New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
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91
books
cite this book:
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- Foundations of Economic Analysis: Enlarged Edition (Harvard Economic Studies) by Paul Samuelson on 12 pages
- Convex Structures and Economic Theory (Mathematics in Science & Engineering) by Hukukane Nikaido on 10 pages
- Linear Inequalities and Related Systems. (AM-38) (Annals of Mathematics Studies) by Harold William Kuhn on 9 pages
- Activity Analysis of Production and Allocation by Koopmans on 6 pages
- Elements of Pure Economics, or The Theory of Social Wealth by Leon Walras on 6 pages
See all 100 books this book cites
- Mathematical Methods and Models for Economists by Angel de la Fuente on page 272, page 323, and page 580
- Optimization: Foundations and Applications by H. Ronald Miller on page 168, page 224, and page 581
- Trade, Networks and Hierarchies by Geoffrey J.D. Hewings on page 224, page 404, and page 431
- Economic Dynamics: Study Edition (Springer Study Edition) by Giancarlo Gandolfo on page 134, page 427, and page 589
- A Mathematical Treatment of Economic Cooperation and Competition Among Nations, with Nigeria, USA, UK, China, and the Middle East Examples, Volume 203 (Mathematics in Science and Engineering) by Ethelbert N. Chukwu on page 157, and page 243
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