Topology of Surfaces - 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 of Surfaces write by L.Christine Kinsey. This book was released on 1997-09-26. Topology of Surfaces available in PDF, EPUB and Kindle. " . . . that famous pedagogical method whereby one begins with the general and proceeds to the particular only after the student is too confused to understand even that anymore. " Michael Spivak This text was written as an antidote to topology courses such as Spivak It is meant to provide the student with an experience in geomet describes. ric topology. Traditionally, the only topology an undergraduate might see is point-set topology at a fairly abstract level. The next course the average stu dent would take would be a graduate course in algebraic topology, and such courses are commonly very homological in nature, providing quick access to current research, but not developing any intuition or geometric sense. I have tried in this text to provide the undergraduate with a pragmatic introduction to the field, including a sampling from point-set, geometric, and algebraic topology, and trying not to include anything that the student cannot immediately experience. The exercises are to be considered as an in tegral part of the text and, ideally, should be addressed when they are met, rather than at the end of a block of material. Many of them are quite easy and are intended to give the student practice working with the definitions and digesting the current topic before proceeding. The appendix provides a brief survey of the group theory needed.
Surface Topology
Surface 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 Surface Topology write by P. A. Firby. This book was released on 1982. Surface Topology available in PDF, EPUB and Kindle.
Optical Measurement of Surface Topography
Optical Measurement of Surface Topography - 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 Optical Measurement of Surface Topography write by Richard Leach. This book was released on 2011-03-31. Optical Measurement of Surface Topography available in PDF, EPUB and Kindle. The measurement and characterisation of surface topography is crucial to modern manufacturing industry. The control of areal surface structure allows a manufacturer to radically alter the functionality of a part. Examples include structuring to effect fluidics, optics, tribology, aerodynamics and biology. To control such manufacturing methods requires measurement strategies. There is now a large range of new optical techniques on the market, or being developed in academia, that can measure areal surface topography. Each method has its strong points and limitations. The book starts with introductory chapters on optical instruments, their common language, generic features and limitations, and their calibration. Each type of modern optical instrument is described (in a common format) by an expert in the field. The book is intended for both industrial and academic scientists and engineers, and will be useful for undergraduate and postgraduate studies.
Geometry and Topology of Surfaces
Geometry and Topology of Surfaces - 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 Geometry and Topology of Surfaces write by Sebastian Baader. This book was released on 2021. Geometry and Topology of Surfaces available in PDF, EPUB and Kindle.
Topological, Differential and Conformal Geometry of Surfaces
Topological, Differential and Conformal Geometry of Surfaces - 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, Differential and Conformal Geometry of Surfaces write by Norbert A'Campo. This book was released on 2021-10-27. Topological, Differential and Conformal Geometry of Surfaces available in PDF, EPUB and Kindle. This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces. It first covers the prerequisites, including the basics of differential forms, the Poincaré Lemma, the Morse Lemma, the classification of compact connected oriented surfaces, Stokes’ Theorem, fixed point theorems and rigidity theorems. There is also a novel presentation of planar hyperbolic geometry. Moving on to more advanced concepts, it covers topics such as Riemannian metrics, the isometric torsion-free connection on vector fields, the Ansatz of Koszul, the Gauss–Bonnet Theorem, and integrability. These concepts are then used for the study of Riemann surfaces. One of the focal points is the Uniformization Theorem for compact surfaces, an elementary proof of which is given via a property of the energy functional. Among numerous other results, there is also a proof of Chow’s Theorem on compact holomorphic submanifolds in complex projective spaces. Based on lecture courses given by the author, the book will be accessible to undergraduates and graduates interested in the analytic theory of Riemann surfaces.
