A First Course in Topology: An Introduction to Mathematical Thinking

A First Course in Topology: An Introduction to Mathematical ThinkingStudents must prove all of the theorems in this undergraduate level text, which features extensive outlines to assist in study and comprehension. Thorough and well written, the treatment provides sufficient material for a one year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects. Most of the material focuses on point

Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects.
Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text.

Binding Type: Paperback
Publisher: Dover Publications
Published: 05/21/2014
ISBN: 9780486780016
Pages: 272
Weight: 0.80lbs
Size: 9.14h x 6.08w x 0.57d