Discusses harmonic analysis and its connections to other areas of mathematics and science. This book attempts to unify certain themes in areas of Lie algebras, strong interaction physics, statistical mechanics, and nonlinear partial differential equations.

Contains translations of some of historically significant works in set theory, model theory, analysis and algebra. This book is suitable for graduate students and researchers interested in set theory and the history of mathematics.

Although the mathematical research community takes its international character very much for granted, this global nature is relatively recent, having evolved over a period of roughly 150 years - from the beginning of the 19th century to the middle of the 20th. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom the goal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far...

The life of Vito Volterra, one of the finest scientists and mathematicians Italy ever produced, spans the period from the unification of the Italian peninsula in 1860 to the onset of the Second World War - an era of unparalleled progress and unprecedented

This volume reveals the collection of mathematical works located at America's first military school, the US Military Academy at West Point. It outlines the relevant history of the Academy, discusses the mathematics department and curriculum, and describes the development of the library during the 19th century. A major part of this book is an annotated catalogue of the more than 1300 works published between 1496 and 1915 found in the West Point library. Mathematics and its instruction greatly influenced the development of the Academy, the technological growth of America's army, and the...

Operations research grew out of the application of the scientific method to certain problems of war during World War II. This book tells the story of how operations research became an important activity in the Eighth Air Force. It emphasizes the people involved in these historical events, rather than the technical matters with which they dealt.

This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of mathematics. It sets out to provide recognition of Beltrami comparable to that given the pioneering works of Bolyai and Labachevsky, not only because Beltrami rescued hyperbolic geometry from oblivion by proving to be logically consistent, but because he gave it a concrete meaning (a model) that made hyperbolic geometry part of ordinary mathematics. The models subsequently discovered by Klein and Poincare brought hyperbolic geometry even...

Emil Artin was one of the great mathematicians of the twentieth century. He had the rare distinction of having solved two of the famous problems posed by David Hilbert in 1900. He showed that every positive definite rational function of several variables w

The Ausdehnungslehre of 1862 is Grassmann's most mature presentation of his extension theory and captured the full sweep of his mathematical achievements. Compared with Grassmann's first book, Lineale Ausdehnungslehre, this book contains new material, including a detailed development of the inner product and its relation to the concept of angle, the theory of functions from the point of view of extension theory, and Grassmann's contribution to the Pfaff problem. In many ways, this book is the version of Grassmann's system most accessible to contemporary readers.

Contains a translation and study of "Euclid's Phaenomena", a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. This work includes an introduction that sets Euclid's geometry of the celestial sphere