Introduction to Topology: Third Edition - Tapa dura

Mendelson, Bert

 
9781638232346: Introduction to Topology: Third Edition
Tapa dura
ISBN 10: 1638232342 ISBN 13: 9781638232346
Editorial: www.snowballpublishing.com, 2019

Sinopsis

Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.

The author begins with an informal discussion of set theory in Chapter 1, reserving coverage of countability for Chapter 5, where it appears in the context of compactness. In the second chapter Professor Mendelson discusses metric spaces, paying particular attention to various distance functions which may be defined on Euclidean n-space and which lead to the ordinary topology.

Chapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: connectedness and compactness. Throughout the text, Dr. Mendelson, a former Professor of Mathematics at Smith College, has included many challenging and stimulating exercises to help students develop a solid grasp of the material presented.

"Sinopsis" puede pertenecer a otra edición de este libro.

Editorial
www.snowballpublishing.com
Año de publicación
2019
Idioma
Inglés
ISBN 10 
1638232342
ISBN 13 
9781638232346
Encuadernación
Tapa dura
Número de páginas
224
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9781684119264: Introduction to Topology: Third Edition

Edición Destacada

ISBN 10:  168411926X ISBN 13:  9781684119264
Editorial: www.snowballpublishing.com, 2019
Tapa blanda