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

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

In this book, the author builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management.

Tag(s): Mathematics

Publication date: 05 Mar 2010

ISBN-10: 026251429X

ISBN-13: 9780262514293

Paperback: 152 pages

Views: 23,889

Type: N/A

Publisher: The MIT Press

License: Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported

Post time: 25 Apr 2011 05:21:39

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

Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving In this book, the author builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management.
Tag(s): Mathematics
Publication date: 05 Mar 2010
ISBN-10: 026251429X
ISBN-13: 9780262514293
Paperback: 152 pages
Views: 23,889
Document Type: N/A
Publisher: The MIT Press
License: Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported
Post time: 25 Apr 2011 05:21:39
Summary/Excerpts of (and not a substitute for) the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported:
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Excerpts from the Introduction:
Sanjoy Mahajan wrote: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.




About The Author(s)


Sanjoy Mahajan is Associate Professor of Applied Science and Engineering at Olin College of Engineering and Visiting Associate Professor of Electrical Engineering and Computer Science at MIT.

Sanjoy Mahajan

Sanjoy Mahajan is Associate Professor of Applied Science and Engineering at Olin College of Engineering and Visiting Associate Professor of Electrical Engineering and Computer Science at MIT.


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