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Terilien
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Are there any good online introductions to topology?
Eighty said:
fopc said:
JonF said:It would be a little rough doing topology without first doing some proof based calculus.
mathwonk said:there is a high school level intro to topology by chinn and steenrod, with almost "no" prerequisites. it is excellent, chinn is a decorated high school teacher and steenrod is one of the most outstanding topologists of the 20th century, from princeton.
Topology is a branch of mathematics that studies the properties of objects that do not change under continuous deformations, such as stretching or bending. It focuses on the concepts of continuity, connectivity, and proximity.
Topology has many applications in various fields such as physics, engineering, computer science, and biology. It helps us understand the shape and structure of objects, and how they can be transformed without changing their fundamental properties.
An online introduction to topology course is a virtual class that teaches the basic concepts and principles of topology. It is usually self-paced and includes lectures, readings, exercises, and assessments to help students understand and apply the material.
Topics that are typically covered in an online introduction to topology course include point-set topology, continuity, compactness, connectedness, and topological spaces. Students may also learn about common topological properties and constructions, such as homeomorphisms and quotient spaces.
Yes, an online introduction to topology course is designed for students with little to no prior knowledge of topology. It provides a solid foundation for further studies in higher level topology courses and can be beneficial for individuals interested in pursuing careers in mathematics, physics, or engineering.