Topology Now! (Classroom Resource Material),New

Topology Now! (Classroom Resource Material),New

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Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upperlevel mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and threedimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of pointset topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higherdimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.

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Frequently Asked Questions

  • Q: What is the main subject of the book 'Topology Now!'? A: The book 'Topology Now!' focuses on topology, a branch of mathematics that explores concepts such as continuity, convergence, and connectedness, aimed at making the material accessible to undergraduate students.
  • Q: Who is the author of 'Topology Now!'? A: The author of 'Topology Now!' is Robert Messer.
  • Q: What type of binding does 'Topology Now!' have? A: 'Topology Now!' comes in hardcover binding.
  • Q: How many pages are in 'Topology Now!'? A: 'Topology Now!' contains 240 pages.
  • Q: What condition is the used book 'Topology Now!' in? A: The used book 'Topology Now!' is in good condition.
  • Q: When was 'Topology Now!' published? A: 'Topology Now!' was published on March 15, 2006.
  • Q: What edition of 'Topology Now!' is available? A: 'Topology Now!' is available in the UK edition.
  • Q: Are there any prerequisites for understanding 'Topology Now!'? A: While the book is designed to be accessible, it is recommended that students have some exposure to the geometry of higher-dimensional Euclidean spaces and an appreciation for precise mathematical definitions and proofs.
  • Q: What topics does 'Topology Now!' cover? A: 'Topology Now!' covers various topics in topology, including knot theory, the topology of surfaces, three-dimensional manifolds, fixed points, elementary homotopy theory, and fundamental concepts of point-set topology.
  • Q: Is 'Topology Now!' suitable for beginners in mathematics? A: Yes, 'Topology Now!' is suitable for beginners, as it aims to make complex mathematical concepts understandable without requiring extensive prerequisites.