J. Munkres Topology

A comprehensive introduction to 3D modeling, from the fundamental ideas of topology to in-depth examples that will help you take your projects to the next level

Authors: Adhikari, Mahima Ranjan
Discusses the basic concepts of algebraic topology with numerous related illustrations and applications
Approaches the topic nearly “from scratch” and accompanies students through its natural development
Provides examples and step-by-step instructions and explains problem-solving techniques for a better grasp of the topic
Integrates various concepts of algebraic topology, examples, exercises, applications, and historical notes
Reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to pursue further study

Topology is one of the fundamental tools in relating entities. Topology naturally finds application in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business and even the arts. The motivating insight behind topology is that some geometric problems depend not on the exact shape of the objects involved, but rather on the way they are put together. Circa 1750, Euler stated the polyhedron formula, V − E + F = 2 (where V, E, and F respectively indicate the number of vertices, edges, and faces of the polyhedron), which may be regarded as the first theorem, signaling the birth of topology. Subjects included in topology are algebraic topology and graph theory. A related branch to graph theory is molecular topology (with concerns of either chemical or biological structure).

Master Topology of mathematics to enhance your new maths skills