Essential Topology

1. Auflage 2005, Corr. 4th printing 2011
ISBN: 978-1-85233-782-7
Verlag: Springer

Buch, Englisch, 224 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 371 g

Reihe: Springer Undergraduate Mathematics Series

This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. Written from a thoroughly modern perspective, every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation. The book is ideal for self-study and assumes only a familiarity with the notion of continuity and basic algebra.

Zielgruppe

2nd and 3rd year undergraduate mathematics students

Autoren/Hrsg.

Crossley, Martin D.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie

Inhaltsverzeichnis

Continuous Functions.- Topological Spaces.- Topological Properties.- Deconstructionist Topology.- Homotopy.- The Euler Number.- Homotopy Groups.- Simplicial Homology.- Singular Homology.- More Deconstructionism.