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Georg Cantor
Georg Cantor
One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a...
From a Philosophical Point of View: Selected Studies
From a Philosophical Point of View: Selected Studies
One of the most important philosophers of recent times, Morton White has spent a career building bridges among the increasingly fragmented worlds of the humanities, social sciences, and natural sciences. From a Philosophical Point of View is a selection of White's best essays, written over a period of more than sixty years. Together these...
Algebraic Geometry in Coding Theory and Cryptography
Algebraic Geometry in Coding Theory and Cryptography

Algebraic geometry has found fascinating applications to coding theory and cryptography in the last few decades. This book aims to provide the necessary theoretical background for reading the contemporary literature on these applications. An aspect that we emphasize, as it is very useful for the applications, is the interplay between...

Complex Analysis (Princeton Lectures in Analysis, No. 2)
Complex Analysis (Princeton Lectures in Analysis, No. 2)

With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to...

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...
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...

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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