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Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory
The goal of this monograph is to give an accessible introduction to nonstandard methods and their applications, with an emphasis on combinatorics and Ramsey theory. It includes both new nonstandard proofs of classical results and recent developments initially obtained in the nonstandard setting. This makes it the first combinatorics-focused account of nonstandard methods to be aimed at a general (graduate-level) mathematical audience. This book will provide a natural starting point for researchers interested in approaching the rapidly growing literature on combinatorial results obtained via nonstandard methods. The primary audience consists of graduate students and specialists in logic and combinatorics who wish to pursue research at the interface between these areas.
Model Theory of Operator Algebras
Continuous model theory is an extension of classical first order logic which is best suited for classes of structures which are endowed with a metric. Applications have grown considerably in the past decade. This book is dedicated to showing how the techniques of continuous model theory are used to study C*-algebras and von Neumann algebras. This book geared to researchers in both logic and functional analysis provides the first self-contained collection of articles surveying the many applications of continuous logic to operator algebras that have been obtained in the last 15 years.
A Snapt Gold Ring
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Ultrafilters Throughout Mathematics
Ultrafilters and ultraproducts provide a useful generalization of the ordinary limit processes which have applications to many areas of mathematics. Typically, this topic is presented to students in specialized courses such as logic, functional analysis, or geometric group theory. In this book, the basic facts about ultrafilters and ultraproducts are presented to readers with no prior knowledge of the subject and then these techniques are applied to a wide variety of topics. The first part of the book deals solely with ultrafilters and presents applications to voting theory, combinatorics, and topology, while also dealing also with foundational issues. The second part presents the classical ...
The Intrapreneur
Work. Eat. Sleep. Repeat. Work. Eat. Sleep. Repeat. Work. Eat. Sleep. Repeat. Have you ever sat at your desk and asked yourself, why am I here? Is this really all there is? Believe me, it isn't. Over the past three decades, my generation created the enormous machines we call multinational corporations. Today, over half of the largest economies in the world are global businesses - controlled by the few, while impacting the many. Business has the power to change the world. But what if we, as individuals, had the power to change the world of business? We are in the age of the intrapreneur: where mavericks and rebels bring their entrepreneurial prowess to big business, to change it from the insi...
The Gold Ring
In September 1869, two young speculators, Jay Gould and Jim Fisk, Jr., undertook perhaps the most audacious financial operation in American history - the cornering of the national gold supply. Fisk and Gould manipulated prices to the point that legitimate commerce froze to a halt. When the federal Treasury finally broke the corner on Black Friday, September 24, the price of $100 gold coin fell from $160 to $130 in fifteen minutes, sparking a national financial panic, a stock market depression, and the bankruptcy of major trading houses. The scandal reached the very household of President Ulysses Grant, and only the intervention of their friend, Boss Tweed of Tammany Hall, saved Fisk and Gould from personal ruin.
After Lincoln
A latest historical chronicle by the author of Patriots examines the Reconstruction era, covering such topics as the impeachment of Andrew Johnson, Ulysses Grant's efforts to quash a rising KKK and Rutherford Hayes' agreement to remove troops from the South. 50,000 first printing.
