Topological Groups : An Introduction

Nelson G Markley

ISBN 10: 0470624515 / ISBN 13: 9780470624517

Edité par Wiley Sep 2010, 2010

A propos de cet article

Neuware - A user-friendly introduction to metric and topological groupsTopological Groups: An Introduction provides a self-contained presentation with an emphasis on important families of topological groups. The book uniquely provides a modern and balanced presentation by using metric groups to present a substantive introduction to topics such as duality, while also shedding light on more general results for topological groups.Filling the need for a broad and accessible introduction to the subject, the book begins with coverage of groups, metric spaces, and topological spaces before introducing topological groups. Since linear spaces, algebras, norms, and determinants are necessary tools for studying topological groups, their basic properties are developed in subsequent chapters. For concreteness, product topologies, quotient topologies, and compact-open topologies are first introduced as metric spaces before their open sets are characterized by topological properties. These metrics, along with invariant metrics, act as excellent stepping stones to the subsequent discussions of the following topics:\* Matrix groups\* Connectednesss of topological groups\* Compact groups\* Character groupsExercises found throughout the book are designed so both novice and advanced readers will be able to work out solutions and move forward at their desired pace. All chapters include a variety of calculations, remarks, and elementary results, which are incorporated into the various examples and exercises.Topological Groups: An Introduction is an excellent book for advanced undergraduate and graduate-level courses on the topic. The book also serves as a valuable resource for professionals working in the fields of mathematics, science, engineering, and physics. Send Comment.

N° de réf. du vendeur 9780470624517

Détails bibliographiques

• Titre: Topological Groups : An Introduction
• Éditeur: Wiley Sep 2010
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 0470624515
• ISBN à 13 chiffres: 9780470624517
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 240 L x 161 H x 25 P (en millimètres) 240 millimètres de largeur par 161 millimètres de hauteur par 25 millimètres de profondeur
• Poids: 736 grammes

A propos de ce titre

Synopsis

A user-friendly introduction to metric and topological groups

Topological Groups: An Introduction provides a self-contained presentation with an emphasis on important families of topological groups. The book uniquely provides a modern and balanced presentation by using metric groups to present a substantive introduction to topics such as duality, while also shedding light on more general results for topological groups.

Filling the need for a broad and accessible introduction to the subject, the book begins with coverage of groups, metric spaces, and topological spaces before introducing topological groups. Since linear spaces, algebras, norms, and determinants are necessary tools for studying topological groups, their basic properties are developed in subsequent chapters. For concreteness, product topologies, quotient topologies, and compact-open topologies are first introduced as metric spaces before their open sets are characterized by topological properties. These metrics, along with invariant metrics, act as excellent stepping stones to the subsequent discussions of the following topics:

• Matrix groups

• Connectednesss of topological groups

• Compact groups

• Character groups

Exercises found throughout the book are designed so both novice and advanced readers will be able to work out solutions and move forward at their desired pace. All chapters include a variety of calculations, remarks, and elementary results, which are incorporated into the various examples and exercises.

Topological Groups: An Introduction is an excellent book for advanced undergraduate and graduate-level courses on the topic. The book also serves as a valuable resource for professionals working in the fields of mathematics, science, engineering, and physics.

À propos de l?auteur

NELSON G. MARKLEY, PhD, was professor of mathematics at the University of Maryland for more than twenty-five years and also served as provost at Lehigh University. He has written numerous journal articles in the area of dynamical systems and is the author of Principles of Differential Equations, also published by Wiley.