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.
Contains translations of some of historically significant works in set theory, model theory, analysis and algebra. This book is suitable for graduate ...
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...
This volume reveals the collection of mathematical works located at America's first military school, the US Military Academy at West Point. It outline...
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...
This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of...
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
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...
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.
The Ausdehnungslehre of 1862 is Grassmann's most mature presentation of his extension theory and captured the full sweep of his mathematical achieveme...
Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general...
Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Hu...
For over two centuries, the work of the St. Petersburg mathematicians in number theory has constituted a glorious contribution to mathematics. The Russian book, The St. Petersburg School of Number Theory, is about the life and work of prominent members of this school, such as Chebyshev, Korkin, Zolotarev, Markov, Voronoi, and Vinogradov. These mathematicians are indeed a very distinguished group, and their work in number theory is of the highest quality and continues to have lasting significance. This English translation acquaints the reader with the most important works of these six eminent...
For over two centuries, the work of the St. Petersburg mathematicians in number theory has constituted a glorious contribution to mathematics. The Rus...
This volume contains original essays on Ramanujan and his work. It also includes survey articles in areas influenced by Ramanujan's mathematics. Most of the articles in the book are non-technical, but even those that are contain substantial sections that should engage the general reader. The opening section includes an account of a cryptic family history written by his younger brother, S. Lakshmi Narasimhan. Following are articles on Ramanujan's illness by R.A. Rankin, the British physician D.A.B. Young, and Nobel Laureate S. Chandrasekhar. They present a study of his symptoms, a convincing...
This volume contains original essays on Ramanujan and his work. It also includes survey articles in areas influenced by Ramanujan's mathematics. Most ...
The idea of chaos figures prominently in mathematics today. It arose in the work of one of the greatest mathematicians of the late 19th century, Henri Poincare, on a problem in celestial mechanics: the three body problem. This ancient problem - to describe the paths of three bodies in mutual gravitational interaction - is one of those which is simple to pose but impossible to solve precisely. Poincare's famous memoir on the three body problem arose from his entry in King Oscar of Sweden's 60th birthday competition. His essay won the prize and was set up in print as a paper in Acta Mathematica...
The idea of chaos figures prominently in mathematics today. It arose in the work of one of the greatest mathematicians of the late 19th century, Henri...
Includes articles written by A N Kolmogorov's students and colleagues and his personal accounts of shared experiences and lifelong mathematical friendships. This volume includes the following articles: "On A N Kolmogorov" by V I Arnol'd, "In Memory of A N
Includes articles written by A N Kolmogorov's students and colleagues and his personal accounts of shared experiences and lifelong mathematical friend...