Analytic Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Topology write by Gordon Thomas Whyburn. This book was released on 1963. Analytic Topology available in PDF, EPUB and Kindle. "The material here presented represents an elaboration on my Colloquium Lectures delivered before the American Mathematical Society at its September, 1940 meeting at Dartmouth College." - Preface.
On the Topology of Isolated Singularities in Analytic Spaces
On the Topology of Isolated Singularities in Analytic Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Topology of Isolated Singularities in Analytic Spaces write by José Seade. This book was released on 2006-03-21. On the Topology of Isolated Singularities in Analytic Spaces available in PDF, EPUB and Kindle. Offers an overview of selected topics on the topology of singularities, with emphasis on its relations to other branches of geometry and topology. This book studies real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations.
Computational Topology for Data Analysis
Computational Topology for Data Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computational Topology for Data Analysis write by Tamal Krishna Dey. This book was released on 2022-03-10. Computational Topology for Data Analysis available in PDF, EPUB and Kindle. Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text introduces students and researchers in mathematics and computer science to the current state of the field. The book features a description of mathematical objects and constructs behind recent advances, the algorithms involved, computational considerations, as well as examples of topological structures or ideas that can be used in applications. It provides a thorough treatment of persistent homology together with various extensions – like zigzag persistence and multiparameter persistence – and their applications to different types of data, like point clouds, triangulations, or graph data. Other important topics covered include discrete Morse theory, the Mapper structure, optimal generating cycles, as well as recent advances in embedding TDA within machine learning frameworks.
Topology for Analysis
Topology for Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topology for Analysis write by Albert Wilansky. This book was released on 2008-10-17. Topology for Analysis available in PDF, EPUB and Kindle. Starting with the first principles of topology, this volume advances to general analysis. Three levels of examples and problems make it appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important concepts, and a 40-page appendix includes tables of theorems and counterexamples. 1970 edition.
Topological Data Analysis for Genomics and Evolution
Topological Data Analysis for Genomics and Evolution - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Data Analysis for Genomics and Evolution write by Raúl Rabadán. This book was released on 2019-10-31. Topological Data Analysis for Genomics and Evolution available in PDF, EPUB and Kindle. Biology has entered the age of Big Data. The technical revolution has transformed the field, and extracting meaningful information from large biological data sets is now a central methodological challenge. Algebraic topology is a well-established branch of pure mathematics that studies qualitative descriptors of the shape of geometric objects. It aims to reduce questions to a comparison of algebraic invariants, such as numbers, which are typically easier to solve. Topological data analysis is a rapidly-developing subfield that leverages the tools of algebraic topology to provide robust multiscale analysis of data sets. This book introduces the central ideas and techniques of topological data analysis and its specific applications to biology, including the evolution of viruses, bacteria and humans, genomics of cancer and single cell characterization of developmental processes. Bridging two disciplines, the book is for researchers and graduate students in genomics and evolutionary biology alongside mathematicians interested in applied topology.
