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Fourier Analysis: An Introduction (Princeton Lectures in Analysis)
Fourier Analysis: An Introduction (Princeton Lectures in Analysis)

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical...

The Princeton Companion to Mathematics
The Princeton Companion to Mathematics

This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the...

The Calculus Gallery: Masterpieces from Newton to Lebesgue
The Calculus Gallery: Masterpieces from Newton to Lebesgue
More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and...
The Green House: New Directions in Sustainable Architecture
The Green House: New Directions in Sustainable Architecture

From the arid deserts of Tucson, Arizona to the icy forests of Poori, Finland to the tropical beaches of New South Wales, Australia to the urban jungle of downtown Manhattan, critics Alanna Stang and Christopher Hawthorne have traveled to the farthest reaches of the globe to find all that is new in the design of sustainable, or...

The Enjoyment of Math
The Enjoyment of Math
A thoroughly enjoyable sampler of fascinating mathematical problems and their solutions.
(Science )

Each chapter is a gem of mathematical exposition.... [The book] will not only stretch the imagination of the amateur, but it will also give pleasure to the sophisticated mathematician.
...
Information Science
Information Science
From cell phones to Web portals, advances in information and communications technology have thrust society into an information age that is far-reaching, fast-moving, increasingly complex, and yet essential to modern life. Now, renowned scholar and author David Luenberger has produced Information Science, a text that distills and explains...
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...

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...
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...
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...
Why Stock Markets Crash: Critical Events in Complex Financial Systems (Princeton Science Library)
Why Stock Markets Crash: Critical Events in Complex Financial Systems (Princeton Science Library)

The scientific study of complex systems has transformed a wide range of disciplines in recent years, enabling researchers in both the natural and social sciences to model and predict phenomena as diverse as earthquakes, global warming, demographic patterns, financial crises, and the failure of materials. In this book, Didier Sornette boldly...

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,...
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