5 best algebraic topology books of all time (Update 2022)
5 Best Algebraic Topology Books of All Time (Update 2022)
Are you looking for the Best Algebraic Topology Books? If your answer is yes, then take a look at following text and download your requried free pdf books. Before starting the topic best algebraic topology books you have to know about what is algebraic topology?
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Algebraic topology is a branch of mathematics that is uses tools of from abstract algebra to study of spaces (topological spaces and maps).
In algebraic topology, we investigate spaces by mapping them to algebraic objects such as groups, and thereby bring into play new methods and intuitions from algebra to answer topological questions.
Branches of Algebraic Topology
Homotopy groups, Homology, Cohomology, Manifolds, Knot theory and Complexes are the main branches of algebraic topology
Applications of Algebraic Topology
Algebraic topology is used in medical imaging, such as CT scans, to reconstruct three-dimensional shapes from cross-sectional (tomographic) data. Homotopy is used a lot in differential equations and machine learning algorithms, while homology is used in clustering, shape comparison, and partitioned regression.
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Algebraic Topology PDF Books