Lecture notes on elementary topology and geometry. Undergraduate texts in mathematics

Singer, Isadore M. and John A. Thorpe:

ISBN 10: 3540902023 / ISBN 13: 9783540902027

Published by New York, Heidelberg, Berlin : Springer, 1976

About this Item

232 S. Schnitt und Einband sind leicht staubschmutzig; der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. ENGLISCH. Sprache: Englisch Gewicht in Gramm: 600.

Seller Inventory # 1724483

Bibliographic Details

• Title: Lecture notes on elementary topology and geometry. Undergraduate texts in mathematics
• Publisher: New York, Heidelberg, Berlin : Springer
• Publication Date: 1976
• Language: English
• ISBN 10: 3540902023
• ISBN 13: 9783540902027
• Binding: gebundene Ausgabe
• Condition: Gut
• Seller catalogs:
  • 200 Mathematik

About this title

Synopsis

At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After Calculus, students take courses in analysis and algebra, and depending on their interest, they take courses in special topics. If the student is exposed to topology, it is usually straightforward point set topology; if the student is exposed to geometry, it is usually classical differential geometry.

These notes are an attempt to break up this compartmentalization, at least in topology-geometry. What the student has learned in algebra and advanced calculus are used to prove some fairly deep results relating geometry, topology and group theory. The material studied includes De Rhams's theorem, the Gauss-Bonnet theorem for surfaces, the functional relation of fundamental group to covering space, and surfaces of constant curvature as homogeneous spaces.