Doing Mathematics: Convention, Subject, Calculation, Analogy
Book Details
Format
Paperback / Softback
ISBN-10
9812382062
ISBN-13
9789812382061
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 27th, 2003
Print length
472 Pages
Weight
648 grams
Dimensions
22.10 x 16.30 x 2.40 cms
Product Classification:
Mathematics
Ksh 8,650.00
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A discussion of ways of doing mathematical work. It argues that the conventions we adopt, the subject areas we delimit, what we can prove and calculate about the physical world, and the analogies that work for mathematicians - all depend on mathematics, what will work out and what won't.
This book discusses some ways of doing mathematical work and the subject matter that is being worked upon and created. It argues that the conventions we adopt, the subject areas we delimit, what we can prove and calculate about the physical world, and the analogies that work for mathematicians — all depend on mathematics, what will work out and what won't. And the mathematics, as it is done, is shaped and supported, or not, by convention, subject matter, calculation, and analogy. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connection between algebra and topology, the stability of matter, the Ising model, and the Langlands Program in number theory and representation theory.
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