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Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving (The MIT Press)

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Too much mathematical rigor teaches rigor mortis: the fear of making an unjustified leap even when it lands on a correct result. Instead of paralysis, have courage—shoot first and ask questions later. Although unwise as public policy, it is a valuable problem-solving philosophy, and it is the theme of this book: how to guess answers without a proof or an exact calculation.

Educated guessing and opportunistic problem solving require a toolbox. A tool, to paraphrase George Polya, is a trick I use twice. This book builds, sharpens, and demonstrates tools useful across diverse fields of human knowledge. The diverse examples help separate the tool—the general principle—from the particular applications so that you can grasp and transfer the tool to problems of particular interest to you.

The examples used to teach the tools include guessing integrals without integrating, refuting a common argument in the media, extracting physical properties from nonlinear differential equations, estimating drag forces without solving the Navier–Stokes equations, finding the shortest path that bisects a triangle, guessing bond angles, and summing infinite series whose every term is unknown and transcendental.
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The LEGO MINDSTORMS NXT 2.0 Discovery Book: A Beginner's Guide to Building and Programming Robots
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Discover the many features of the LEGO MINDSTORMS NXT 2.0 set. The LEGO MINDSTORMS NXT 2.0 Discovery Book is the complete, illustrated, beginner's guide to MINDSTORMS that you've been looking for.

The crystal clear instructions in the Discovery Book will show you how to harness the capabilities of the
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This...


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In just 24 sessions of one hour or less, you’ll learn how to build complete, reliable, and modern applications with Visual Basic 2010. Using this book’s straightforward, step-by-step approach, you’ll master the entire process, from navigating VB 2010 to deploying finished solutions. You’ll learn...

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