Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving

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MIT Press, Mar 5, 2010 - Mathematics - 152 pages
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In problem solving, as in street fighting, rules are for fools: do whatever works -- don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge -- from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool -- the general principle -- from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
 

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User Review  - fpagan - LibraryThing

Slim but college-level and technical, intriguingly covering dimensional analysis, easy-case method, lumping, pictorial proofs, big-part removal, and analogical reasoning. Read full review

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An exciting book written on educated guessing, problem solving and rough calculations by MIT Prof. Sanjoy Mahajan. This book is all about applying the mathematics principles in situations dominated by fear and pressure,like a street fighting perhaps. You don’t have to follow rules in street fighting, so why not do so in fast problem solving too?
Read full preview here: http://guruparan18.wordpress.com/2010/03/30/street-fighting-mathematics-preview/
 

Contents

1 Dimensions
1
2 Easy cases
13
3 Lumping
31
4 Pictorial proofs
57
5 Taking out the big part
77
6 Analogy
99
Bibliography
123
Index
127
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