Download or read book An Introduction to Manifolds written by Loring W. Tu and published by Springer Science & Business Media. This book was released on 2010-10-05 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.
Download or read book Introduction to Topological Manifolds written by John M. Lee and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manifolds play an important role in topology, geometry, complex analysis, algebra, and classical mechanics. Learning manifolds differs from most other introductory mathematics in that the subject matter is often completely unfamiliar. This introduction guides readers by explaining the roles manifolds play in diverse branches of mathematics and physics. The book begins with the basics of general topology and gently moves to manifolds, the fundamental group, and covering spaces.
Download or read book Dynamical Systems on 2 and 3 Manifolds written by Viacheslav Z. Grines and published by Springer. This book was released on 2016-11-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds.The topological classification is one of the main problems of the theory of dynamical systems and the results presented in this book are mostly for dynamical systems satisfying Smale's Axiom A. The main results on the topological classification of discrete dynamical systems are widely scattered among many papers and surveys. This book presents these results fluidly, systematically, and for the first time in one publication. Additionally, this book discusses the recent results on the topological classification of Axiom A diffeomorphisms focusing on the nontrivial effects of the dynamical systems on 2- and 3-manifolds. The classical methods and approaches which are considered to be promising for the further research are also discussed.“br> The reader needs to be familiar with the basic concepts of the qualitative theory of dynamical systems which are presented in Part 1 for convenience. The book is accessible to ambitious undergraduates, graduates, and researchers in dynamical systems and low dimensional topology. This volume consists of 10 chapters; each chapter contains its own set of references and a section on further reading. Proofs are presented with the exact statements of the results. In Chapter 10 the authors briefly state the necessary definitions and results from algebra, geometry and topology. When stating ancillary results at the beginning of each part, the authors refer to other sources which are readily available.
Download or read book An Introduction to Multivariable Analysis from Vector to Manifold written by Piotr Mikusinski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariable analysis is of interest to pure and applied mathematicians, physicists, electrical, mechanical and systems engineers, mathematical economists, biologists, and statisticians. This book takes the student and researcher on a journey through the core topics of the subject. Systematic exposition, with numerous examples and exercises from the computational to the theoretical, makes difficult ideas as concrete as possible. Good bibliography and index.
Download or read book Lectures and Surveys on G2 Manifolds and Related Topics written by Spiro Karigiannis and published by Springer Nature. This book was released on 2020-05-26 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.
Download or read book Calculus on Manifolds written by Michael Spivak and published by Westview Press. This book was released on 1965 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
Download or read book A Basic Course in Algebraic Topology written by William S. Massey and published by Springer. This book was released on 2019-06-28 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology; an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date.
Download or read book Lectures on Three Manifold Topology written by William H. Jaco and published by American Mathematical Soc.. This book was released on 1980-12-31 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This manuscript is a detailed presentation of the ten lectures given by the author at the NSF Regional Conference on Three-Manifold Topology, held October 1977, at Virginia Polytechnic Institute and State University. The purpose of the conference was to present the current state of affairs in three-manifold topology and to integrate the classical results with the many recent advances and new directions.
Download or read book Space written by Stephen Baxter and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Smooth Manifolds written by John M. Lee and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why
Download or read book Manifold Learning Theory and Applications written by Yunqian Ma and published by CRC Press. This book was released on 2011-12-20 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trained to extract actionable information from large volumes of high-dimensional data, engineers and scientists often have trouble isolating meaningful low-dimensional structures hidden in their high-dimensional observations. Manifold learning, a groundbreaking technique designed to tackle these issues of dimensionality reduction, finds widespread
Download or read book Advances in Biomolecular EPR written by and published by Academic Press. This book was released on 2022-04-22 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Biomolecular EPR, Volume 666 in the Methods of Enzymology series, highlights new advances in the field, with this new volume presenting interesting chapters on topics including Magnetic Resonance Characterization of Physiologically Important Metal Ion Binding Sites in the Prion and Related Proteins, The catalytic role of metal-radical/protein-based radicals in heme enzymes, Rigid Cu2+-based spin labels for the study of higher-order DNA G-quadruplex structures, Orthogonal spin labeling and membrane proteins: increasing the information content and going towards in cell applications, Spectroscopic investigation of mono- and di-Mn-containing centers in biochemistry with an emphasis on application of paramagnetic resonance techniques, and more. Additional chapters cover In Vivo pO2 Imaging of Tumors: Oxymetry with Very Low-Frequency Electron Paramagnetic Resonance, an Update, EPR contributions to understanding molybdenum-containing enzymes, EPR spectroscopy of Type I reaction centers, Characterization of a substrate-derived radical in the NosN reaction during the biosynthesis of nosiheptide, and much more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in Methods in Enzymology series Includes the latest information on Advances in Biomolecular EPR
Download or read book Knot Theory and Manifolds written by Dale Rolfsen and published by Springer. This book was released on 2006-11-14 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Journal of the Society of Automotive Engineers written by and published by . This book was released on 1918 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research Bulletin written by Purdue University. Engineering Experiment Station and published by . This book was released on 1918 with total page 1156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Manifolds and Differential Geometry written by Jeffrey Marc Lee and published by American Mathematical Soc.. This book was released on 2009 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and structures of modern differential geometry. It includes the topics usually found in a course on differentiable manifolds, such as vector bundles, tensors, and de Rham cohomology.
Download or read book Four Manifold Theory written by Cameron Gordon and published by American Mathematical Soc.. This book was released on 1984 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the proceedings of the Summer Research Conference on 4-manifolds held at Durham, New Hampshire, July 1982, under the auspices of the American Mathematical Society and National Science Foundation.
