Volker Runde's A Taste of Topology (Universitext) PDF

By Volker Runde

ISBN-10: 038725790X

ISBN-13: 9780387257907

If arithmetic is a language, then taking a topology path on the undergraduate point is cramming vocabulary and memorizing abnormal verbs: an important, yet now not regularly intriguing workout one has to move via prior to you can learn nice works of literature within the unique language. the current publication grew out of notes for an introductory topology direction on the college of Alberta. It presents a concise advent to set theoretic topology (and to a tiny bit of algebraic topology). it really is obtainable to undergraduates from the second one 12 months on, yet even starting graduate scholars can reap the benefits of a few elements. nice care has been dedicated to the choice of examples that aren't self-serving, yet already obtainable for college students who've a history in calculus and basic algebra, yet now not inevitably in actual or complicated research. In a few issues, the e-book treats its fabric otherwise than different texts at the topic: Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; nets are used greatly, specifically for an intuitive facts of Tychonoff's theorem; a brief and stylish, yet little identified evidence for the Stone-Weierstrass theorem is given.

Show description

Read Online or Download A Taste of Topology (Universitext) PDF

Best geometry & topology books

Read e-book online Metric Structures in Differential Geometry (Graduate Texts PDF

This ebook deals an creation to the idea of differentiable manifolds and fiber bundles. It examines bundles from the viewpoint of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil thought are mentioned, together with the Pontrjagin, Euler, and Chern attribute sessions of a vector package deal.

Download e-book for kindle: Geometry: A Comprehensive Course (Dover Books on by Dan Pedoe

"A lucid and masterly survey. " — arithmetic GazetteProfessor Pedoe is well known as an exceptional instructor and an excellent geometer. His talents in either components are essentially obvious during this self-contained, well-written, and lucid advent to the scope and techniques of undemanding geometry. It covers the geometry often incorporated in undergraduate classes in arithmetic, aside from the idea of convex units.

Metric and Differential Geometry: The Jeff Cheeger by Xianzhe Dai,Xiaochun Rong PDF

Metric and Differential Geometry grew out of a equally named convention held at Chern Institute of arithmetic, Tianjin and Capital common college, Beijing. many of the contributions to this quantity conceal a wide variety of subject matters in metric and differential geometry, together with metric areas, Ricci stream, Einstein manifolds, Kähler geometry, index conception, hypoelliptic Laplacian and analytic torsion.

Valery V. Volchkov,Vitaly V. Volchkov's Offbeat Integral Geometry on Symmetric Spaces PDF

The publication demonstrates the advance of imperative geometry on domain names of homogeneous areas because 1990. It covers a variety of issues, together with research on multidimensional Euclidean domain names and Riemannian symmetric areas of arbitrary ranks in addition to contemporary paintings on part area and the Heisenberg team.

Extra resources for A Taste of Topology (Universitext)

Example text

Download PDF sample

A Taste of Topology (Universitext) by Volker Runde

by Michael

Rated 4.80 of 5 – based on 31 votes