Free Foundations of Combinatorial Topology (Dover Books on Mathematics)
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Hailed by The Mathematical Gazette as "an extremely valuable addition to the literature of algebraic topology," this concise but rigorous introductory treatment focuses on applications to dimension theory and fixed-point theorems. The lucid text examines complexes and their Betti groups, including Euclidean space, application to dimension theory, and decomposition into components; invariance of the Betti groups, with consideration of the cone construction and barycentric subdivisions of a complex; and continuous mappings and fixed points. Proofs are presented in a complete, careful, and elegant manner.In addition to its value as a one-semester text for graduate-level courses, this volume can also be used as a reference in preparing for seminars or examinations and as a source of basic information on combinatorial topology. Although considerable mathematical maturity is required of readers, formal prerequisites are merely a few simple facts about functions of a real variable, matrices, and commutative groups. Mathematical Physics - Free E-Books Mathematical Physics - list of freely downloadable books at E-Books Directory Mbius Strip -- from Wolfram MathWorld The Mbius strip also called the twisted cylinder (Henle 1994 p 110) is a one-sided nonorientable surface obtained by cutting a closed band into a single strip Applied Mathematics Books - Dover Publications Applied Mathematics Applied mathematics involves mathematical methods used to solve practical problems in science engineering business and industry Disk (mathematics) - Wikipedia In geometry a disk (also spelled disc) is the region in a plane bounded by a circle A disk is said to be closed if it contains the circle that constitutes its Topology and Geometry for Physicists - Dover Books Differential geometry and topology are essential tools for many theoretical physicists particularly in the study of condensed matter physics gravity and particle Graduate Texts in Mathematics - Wikipedia Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag The books in this series Unsolved Problems -- from Wolfram MathWorld Unsolved Problems There are many unsolved problems in mathematics Some prominent outstanding unsolved problems (as well as some which are not necessarily so well 0999 - Wikipedia 0999 9 09 Books in the Mathematical Sciences This site is intended as a resource for university students in the mathematical sciences Books are recommended on the basis of readability and other pedagogical value DISSERTATIONS - University of Massachusetts Amherst Submissions from 2014 Amoroso Jon William (2014) Reactive Probes for Manipulating Polyketide Synthases and Photoreactive Probes for Strained Alkyne Click Chemistry
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