Combinatorics on words, or finite sequences, is a field that grew from the disparate mathematics branches of group theory and probability. In recent times, it has gained recognition as an independent theory and has found substantial applications in computer science automata theory and linguistics. This volume is the first to present a thorough treatment of this theory and includes discussions of Thue's square free words, Van der Waerden's theorem, and Ramsey's theorem. This volume is an accessible text for undergraduate and graduate level students in mathematics and computer science as well...
Combinatorics on words, or finite sequences, is a field that grew from the disparate mathematics branches of group theory and probability. In recent t...
Originally published in 1984, the principal objective of this book is to make the general theory of field extensions accessible to any reader with a modest background in groups, rings and vector spaces. Galois theory is generally regarded as one of the central and most beautiful parts of algebra and its creation marked the culmination of investigations by generations of mathematicians on one of the oldest problems in algebra, the solvability of polynomial equations by radicals.
Originally published in 1984, the principal objective of this book is to make the general theory of field extensions accessible to any reader with a m...