Supported by many examples in mathematics, physics, economics, engineering, and other disciplines, this textbook for students in mathematics, physics, engineering, and computer science introduces topology as the natural evolution of ideas that the student has already seen in multi-variable calculus, differential equations, and real analysis. It features examples and applications from other parts of mathematics and various scientific disciplines, including the traveling salesman problem, digital imaging, mathematical economics, and dynamical systems. Coverage progresses from traditional concepts of topological space and separation axioms, to more advanced topics of algebraic topology and manifold theory. Appendices supply background on logic, real variable theory, set theory, algebraic structures, and the axiom of choice and its implications. With drill exercises, exploration problems, and selected solutions, the book offers a foundation for further study in real analysis and abstract algebra. Krantz is affiliated with Washington University. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)