# Download EBOOK Elementary Applied Topology PDF for free

Category: Science & GeographyThe author of the book: Robert GhristFormat files: PDF, EPUB, TXT, DOCXThe size of the: 671 KBLanguage: EnglishISBN-13: 9781502880857Edition: CreatespaceDate of issue: 1 September 2014 |

## Description of the book "Elementary Applied Topology":

This text gives a brisk and engaging introduction to the mathematics behind the recently established field of Applied Topology. Over a century of development of principles and techniques in algebraic topology has of late crossed over to a variety of application domains. This text gives a completely novel introduction to these methods in the context of the applications. "Elementary Applied Topology" is short (250 pp. plus bibliography and index) and richly illustrated, with 268 figures. It is perfect for both self-study, and as the basis for a course in applied topology. This book is also well-suited for use as a PDF supplementary text in a more traditional algebraic topology course, providing both context and motivation for the tools to be learned. The progression of mathematical techniques is a fresh approach. The book begins with a quick trip through manifolds and cell complexes. The segue to algebraic topology comes in the form of the Euler characteristic and the Euler calculus born from it. Passing from this to homology, exact sequences, and cohomology sets the stage for the innovative content to come. This is comprised of modern Morse theory (including discrete Morse theory, Conley index, and stratified Morse theory), sheaf theory (with an ePub emphasis on cellular sheaves and cosheaves), and, finally, category theory and categorification. Every tool and topic is paired with an application. These range in scope across the biological, economic, engineering, material, physical, and statistical sciences. Of particular note are the applications to topological data analysis, including persistent homology and barcodes. "Elementary Applied Topology" is the first comprehensive text on applied algebraic topology for students of all mathematical sciences.## Reviews of the Elementary Applied Topology

Until now about the guide we've got Elementary Applied Topology feedback customers haven't but eventually left their particular review of the overall game, or you cannot make out the print but. However, if you have presently look at this ebook and you are ready to help make their own conclusions convincingly require you to spend your time to leave a review on our website (we will publish both positive and negative reviews). To put it differently, "freedom regarding speech" We totally supported. Your comments to lease Elementary Applied Topology -- some other audience is able to determine of a publication. This sort of help can make you more Combined!## Robert Ghrist

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