3 books : Intuitive Concepts in Topology. + Topology: An Introduction With Application to Topological Groups + Elementary Concepts of Topology

McCarty, George + B.H. Arnold. + Paul Alexandroff.

ISBN 10: 0486656330 / ISBN 13: 9780486656335

Verlag: Dover + Prentice-Hall, 1988

Beschreibung

3 books : Intuitive Concepts in Topology. B.H. Arnold. Published by Prentice-Hall, 1962. 182p. hardcover no dust jacket, boards lightly bumped/scuffed, binding tight, text clean/unmarked, NOT xlib sunned spine otherwise fine condition + Elementary Concepts of Topology. Paul Alexandroff. Published by Dover Publications, 196157p. trade paperback, covers lightly bumped/scuffed, binding tight, text clean/unmarked- + Topology: An Introduction with Application to Topological Groups (ISBN: 0486656330 / 0-486-65633-0) McCarty, George, Dover Publications, New York, 1988, 270p, trade pb, covers bumped/scuffed/creased, clean text, solid binding---13.00 for all 3.

Bestandsnummer des Verkäufers ABE-1348626321

Bibliografische Details

• Titel: 3 books : Intuitive Concepts in Topology. + Topology: An Introduction With Application to Topological Groups + Elementary Concepts of Topology
• Verlag: Dover + Prentice-Hall
• Erscheinungsjahr: 1988
• Sprache: Englisch
• ISBN-10: 0486656330
• ISBN-13: 9780486656335
• Einband: Soft cover
• Zustand: Good
• Zustand des Schutzumschlags: No Jacket
• Verkäuferkataloge:
  • PHYSICS/CHEMISTRY
  • SCIENCE/TECHNOLOGY--GENERAL/HISTORY OF SCIENCE
  • MATHEMATICS/LOGIC

Über diesen Titel

Inhaltsangabe

Covers sets and functions, groups, metric spaces, topologies, topological groups, compactness and connectedness, function spaces, the fundamental group, the fundamental group of the circle, locally isomorphic groups, more. 1967 edition.

Von der hinteren Coverseite

"Admirably meets the topology requirements for the pregraduate training of research mathematicians." American Mathematical Monthly
Topology, sometimes described as "rubber-sheet geometry," is crucial to modern mathematics and to many other disciplines from quantum mechanics to sociology. This stimulating introduction to the field will give the student a familiarity with elementary point set topology, including an easy acquaintance with the line and the plane, knowledge often useful in graduate mathematics programs.
The book is not a collection of topics, rather it early employs the language of point set topology to define and discuss topological groups. These geometric objects in turn motivate a further discussion of set-theoretic topology and of its applications in function spaces. An introduction to homotopy and the fundamental group then brings the student's new theoretical knowledge to bear on very concrete problems: the calculation of the fundamental group of the circle and a proof of the fundamental theorem of algebra. Finally, the abstract development is brought to satisfying fruition with the classification of topological groups by equivalence under local isomorphism. Throughout the book there is a sustained geometric development a single thread of reasoning which unifies the topological course.
One of the special features of this work is its well-chosen exercises, along with a selection of problems in each chapter that contain interesting applications and further theory. Careful study of the text and diligent performance of the exercises will enable the student to achieve an excellent working knowledge of topology and a useful understanding of its applications. Moreover, the author's unique teaching approach lends an extra dimension of effectiveness to the books: "Of particular interest is the remarkable pedagogy evident in this work. The author converses with the reader on a personal basis. He speaks with him, questions him, challenges him, and best of all occasionally leaves him to his own devices." American Scientist