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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.

After the Collapse wiped out more than 90 percent of humanity, the aliens arrived. Known as the E rikon, they sit within a shielded city, content to ignore the dwindling human settlements. Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving free epub Seventeen-year-old tomboy Jax Mitchell and her twin brother, Jace, are among the survivors, living within the community of Bridgelake.When a terrified yet defiant Jax watches the E rikon kidnap Jace, she decides to rescue him on her own. Wracked by crippling nightmares and panic attacks, Jax finds an ally in Lir, a handsome teenage E rikon who was left behind by his ship. The two of them form an unlikely partnership, with Jax guiding Lir through human territory while the alien promises to sneak her into the E rikon city. But as Jax s connection with Lir intensifies, she discovers a shocking secret one that could have catastrophic effects on humans and aliens alike."

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Author: Sanjoy Mahajan,Carver A. Mead
Number of Pages: 152 pages
Published Date: 13 Apr 2010
Publisher: MIT Press Ltd
Publication Country: Cambridge, Mass., United States
Language: English
ISBN: 9780262514293
Download Link: Click Here
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