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Painlevé Transcendents
At the turn of the twentieth century, the French mathematician Paul Painlevé and his students classified second order nonlinear ordinary differential equations with the property that the location of possible branch points and essential singularities of their solutions does not depend on initial conditions. It turned out that there are only six such equations (up to natural equivalence), which later became known as Painlevé I–VI. Although these equations were initially obtained answering a strictly mathematical question, they appeared later in an astonishing (and growing) range of applications, including, e.g., statistical physics, fluid mechanics, random matrices, and orthogonal polynomi...
I'll Have What She's Having
How we learn from those around us: an essential guide to understanding how people behave. Humans are, first and foremost, social creatures. And this, according to the authors of I'll Have What She's Having, shapes—and explains—most of our choices. We're not just blindly driven by hard-wired instincts to hunt or gather or reproduce; our decisions are based on more than “nudges” exploiting individual cognitive quirks. I'll Have What She's Having shows us how we use the brains of others to think for us and as storage space for knowledge about the world. The story zooms out from the individual to small groups to the complexities of populations. It describes, among other things, how buzzw...
Navy Directory
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Scots and Scots' Descendants in America
The 2,000 marriages in this book, are arranged alphabetically by the names of the grooms and furnish the names of brides and officiating ministers, along with a number of genealogical annotations.
Nonlinear Dispersive Equations
This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations. Simplicity, concrete examples, and applications are emphasized throughout in order to make the material easily accessible. The list of classical nonlinear dispersive equations studied include Korteweg-de Vries, Benjamin-Ono, and Schrodinger equations. Many special Jacobian elliptic functions play a role in these examples. The author brings the reader to the forefront of knowledge about some aspects of the theory and motivates future developments in this fascinating and rapidly growing field. The book can be used as an instructive study guide as well as a reference by students and mature scientists interested in nonlinear wave phenomena.
Descriptive Set Theory
Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned primarily with establishing regularity properties of Borel and Lebesgue measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late 1930s, primarily because it bumped against problems which were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the...
