Bøker av Jonathan D. H. Smith

Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics. This edition offers numerous updates based on feedback from first edition adopters, as well as improved and simplified proofs of a number of important theorems. Many new exercises have been added throughou

Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics. This edition offers numerous updates based on feedback from first edition adopters, as well as improved and simplified proofs of a number of important theorems. Many new exercises have been added throughout, while new study projects examine skewfields, quaternions, and octonions. Each chapter includes exercises of varying levels of difficulty, chapter notes that point out variations in notation and approach, and study projects that cover an array of applications.

Shows how representation theories for groups are capable of extending to general quasigroups. This book presents the fundamentals of quasigroup and loop theory, covering special classes, the combinatorial multiplication group, universal stabilizers, and quasigroup analogues of abelian groups.

Advanced algebra in the service of contemporary mathematical research-- a unique introduction. This volume takes an altogether new approach to advanced algebra. Its intriguing title, inspired by the term postmodernism, denotes a departure from van der Waerden's Modern Algebra--a book that has dominated the field for nearly seventy years.