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The Essential John Nash
The Essential John Nash

"John Nash's creative work in game theory has of course had the most profound influence on both its mathematics and its practical applications in economics. It is very good to see his work in this area joined with his other mathematical contributions in a single volume, to give a more rounded perspective."--Kenneth J. Arrow, 1972 Nobel...

The Pythagorean Theorem: A 4,000-Year History
The Pythagorean Theorem: A 4,000-Year History

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class by even the most math-phobic students. Well over four hundred proofs are known to exist, including ones by a twelve-year-old Einstein, a young blind girl, Leonardo da Vinci, and a future president of the...

Nine Algorithms That Changed the Future: The Ingenious Ideas That Drive Today's Computers
Nine Algorithms That Changed the Future: The Ingenious Ideas That Drive Today's Computers
Computing is transforming our society in ways that are as profound as the changes wrought by physics and chemistry in the previous two centuries. Indeed, there is hardly an aspect of our lives that hasn't already been influenced, or even revolutionized, by digital technology. Given the importance of computing to modern society,...
Political Bubbles: Financial Crises and the Failure of American Democracy
Political Bubbles: Financial Crises and the Failure of American Democracy

Behind every financial crisis lurks a "political bubble"--policy biases that foster market behaviors leading to financial instability. Rather than tilting against risky behavior, political bubbles--arising from a potent combination of beliefs, institutions, and interests--aid, abet, and amplify risk. Demonstrating how political...

Superstition: Belief in the Age of Science
Superstition: Belief in the Age of Science
From uttering a prayer before boarding a plane, to exploring past lives through hypnosis, has superstition become pervasive in contemporary culture? Robert Park, the best-selling author of Voodoo Science, argues that it has. In Superstition, Park asks why people persist in superstitious convictions long after science has shown...
Photonic Crystals: Molding the Flow of Light (Second Edition)
Photonic Crystals: Molding the Flow of Light (Second Edition)
Since it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap materials and their use in controlling the propagation of light. This newly expanded and revised edition covers the latest developments in the field, providing the most up-to-date, concise,...
Classical Theory of Gauge Fields
Classical Theory of Gauge Fields
Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its...
The Toaster Project: Or a Heroic Attempt to Build a Simple Electric Appliance from Scratch
The Toaster Project: Or a Heroic Attempt to Build a Simple Electric Appliance from Scratch

Where do our things really come from? China is the most common answer, but Thomas Thwaites decided he wanted to know more. In The Toaster Project, Thwaites asks what lies behind the smooth buttons on a mobile phone or the cushioned soles of running sneakers. What is involved in extracting and processing materials? To answer these...

When Least Is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible
When Least Is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible
This book was terrific fun to read! I thought I would skim the chapters to write my review, but I was hooked by the preface, and read through the first 100 pages in one sitting... [Nahin shows] obvious delight and enjoyment--he is having fun and it is contagious. -- Bonnie Shulman MAA Online When Least is Best is clearly the result of immense...
Symmetry
Symmetry
STARTING from the somewhat vague notion of symmetry = harmony of proportions, these four lectures gradually develop first the geometric concept of symmetry in its several forms, as bilateral, translatory, rotational, ornamental and crystallographic symmetry, etc., and finally rise to the general idea underlying all these special forms, namely that...
Modeling with Data: Tools and Techniques for Scientific Computing
Modeling with Data: Tools and Techniques for Scientific Computing
I am a psychiatric geneticist but my degree is in neuroscience, which means that I now do far more statistics than I have been trained for. I cannot overstate to you the magnitude of the change in my productivity since finding this book. Even after reading the first few chapters, which explain why data analysis is painful and how one can implement...
Gamma: Exploring Euler's Constant
Gamma: Exploring Euler's Constant
Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery.

In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through...

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