Assistant Professor Shaun V Ault Topology sku-376506082

Assistant Professor Shaun V Ault's All Books listing sku-376506082 is Understanding Topology: A Practical Introduction, ISBN 9781421424071. This new, English-language hardcover has 416 pages, sewn binding, cloth over boards and black-and-white illustrations.

Written as an introduction for undergraduate students of mathematics and the sciences, it assumes calculus and general familiarity with set theory and logic. It explains topology as the study of properties of spaces unchanged by stretching and other distortions.

The book covers Euclidean, abstract and basic algebraic topology; metric topology, vector spaces and dynamics; point-set topology; surfaces, knot theory, graphs and map coloring; the fundamental group; and homology. Worked problems and solutions accompany optional advanced sections for independent projects. Applications include mapping DNA and determining the shape of the universe.

Organized to fit a standard syllabus, the text uses local-to-global analysis and topological invariants as groundwork for algebraic topology.