Theory of Sets, Groups, Rings, Fields,Integral Domains, Vector Spaces, Metric Spaces and Topoloical Spaces - Couverture souple

MISRA, RAM BILAS

Couverture souple

ISBN 10 : 3838399439 ISBN 13 : 9783838399430

Editeur : LAP LAMBERT Academic Publishing, 2010

Synopsis

By now Algebra (based on set theoretic notions) and Topology have established their dominance over almost all the disciplines in pure mathematics. Both of these subjects have become so vast that they need their detailed discussion separately. However, an attempt has been made here to present the basic and core topics of these subjects together. The book comprises of three main parts:(i) Algebraic systems: Sets and Functions, Groups, Rings, Fields, Integral domains and Linear (or Vector) spaces; (ii) Metric spaces, and (iii) Topological spaces. The first chapter starts with Sets and Functions. It includes the main features of the Set Theory needed in our subsequent discussions. The next three chapters dwell upon different kinds of algebraic structures as detailed above and cover almost all the necessary information needed by a beginner. Metric spaces have been dealt in detail in Chapter 5 including topics on ?Sequences and their convergence'. Bounded and unbounded sets in the metric spaces are also given. The last chapter deals with the Topological spaces. It gives a detailed account of various types of these spaces and covers almost all important topics in the subject needed for a first course.

Détails de l'édition

• Éditeur: LAP LAMBERT Academic Publishing
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 3838399439
• ISBN 13: 9783838399430
• Reliure: Broché
• Nombre de pages: 148
• Coordonnées du fabricant: non disponible
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