An Introduction to Algebraic Topology

An Introduction to Algebraic TopologyThis self contained treatment of algebraic topology assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point set topology, offering background to students approaching the subject with no previous knowledge. Readers already familiar with point set topology can proceed directly to Chapter 4, which examines the fundamental group as well as homology groups and continuous mapping, barycentric

Professor Dettman included a new section on generalized functions to help explain the use of the Dirac delta function in connection with Green's functions

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Ivory's method and level surfaces

and vector field theory

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the theory is further explicated by suitable sequences of exercises

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