"This book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space, and its aim is to develop a coherent body of theory comparable with that which already exists for classical Diophantine approximation. In particular this book deals with Khint…
The surreal numbers form a system which includes both the ordinary real numbers and the ordinals. Since their introduction by J.H. Conway, the theory of surreal numbers has seen a rapid development revealing many natural and exciting properties. These notes provide a formal intr…
This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound development and has found a diversity of applications. The book assumes a background in elementary field theory, p-adic field, al…
A portion of the seventy-third annual meeting of the American Mathematical Society, held in Houston, Texas on 24028 January 1967, was devoted to a Special Session on recent advances in the theory of numbers. The articles included in this volume comprise all but one of the papers…
A portion of the seventy-third annual meeting of the American Mathematical Society, held in Houston, Texas on 24028 January 1967, was devoted to a Special Session on recent advances in the theory of numbers. The articles included in this volume comprise all but one of the papers…
In this monograph, Ivan Niven, provides a masterful exposition of some central results on irrational, transcendental, and normal numbers. He gives a complete treatment by elementary methods of the irrationality of the exponential, logarithmic, and trigonometric functions with ra…
"By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies."--Cover.
"By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies."--Cover
ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. Originally written to define the relation between the theories of transfinite numbers and mathe…
