- Presents an overview of mathematical techniques useful in mathematical economics, general equilibrium theory and social choice theory
- Indispensable methods for research in quantitative economics
- With a new chapter on Topology and Social Choice
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- About this Textbook
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In recent years, the usual optimization techniques, which have proved so useful in microeconomic theory, have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behavior of general economic and political systems. These developments have necessarily resulted in an increase in the degree of formalism in the publications in the academic journals. This formalism can often deter graduate students. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.
- Table of contents (7 chapters)
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Sets, Relations, and Preferences
Pages 1-38
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Linear Spaces and Transformations
Pages 39-75
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Topology and Convex Optimisation
Pages 77-133
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Differential Calculus and Smooth Optimisation
Pages 135-187
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Singularity Theory and General Equilibrium
Pages 189-229
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Table of contents (7 chapters)
- Download Preface 1 PDF (183.3 KB)
- Download Sample pages 2 PDF (467.5 KB)
- Download Table of contents PDF (170.3 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Mathematical Methods in Economics and Social Choice
- Authors
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- Norman Schofield
- Series Title
- Springer Texts in Business and Economics
- Copyright
- 2014
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-39818-6
- DOI
- 10.1007/978-3-642-39818-6
- Hardcover ISBN
- 978-3-642-39817-9
- Softcover ISBN
- 978-3-662-49972-6
- Series ISSN
- 2192-4333
- Edition Number
- 2
- Number of Pages
- XV, 262
- Number of Illustrations
- 100 b/w illustrations
- Additional Information
- Originally published as volume 17 in the series: Studies in Economic Theory
- Topics
