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Author : Albert Victor Bäcklund
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.:/5 (321 download)
Download or read book Concerning Surfaces with Constant Negative Curvature written by Albert Victor Bäcklund and published by . This book was released on 1899 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Henry Zeigel
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.:/5 (269 download)
Download or read book Surfaces of Constant Neg. Curvature written by William Henry Zeigel and published by . This book was released on 1904 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have shown that the pseudosphere is applicable to itself in an infinity of ways. Therefore these surfaces that are applicable to it can, after they are folded on the pseudosphere, be made to pass through the same deformations that the pseudosphere undergoes to reveal its applicability to itself. Hence they are applicable to the pseudosphere in an infinity of ways; and since in being applied to the pseudosphere, they are applied to each other and to themselves folded on the pseudosphere, they are therefore applicable to each other and to themselves in an infinity of ways. To illustrate the applicability of these surfaces we have taken two casts, one from each of our pseudospheres. These casts we formed into molds, and papers pressed in the smaller one which has the same Gaussian curvature as our surfaces of the elliptic and hyperbolie types, can be applied to any portion of these two surfaces or to itself. Papers pressed in the larger mold can be applied to any portion of the large pseudosphere without stretching, tearing or crumpling the paper. us first define what is meant by curvature. If w represents the angle between the positive directions of two tangents M T, and M' T', at two points M and M' which are infinitely near and on a curve c, at the point M, equal to the limit of the quotient of (arc M M' / w), as M approaches M' indefinitely; that is, R = ds/dw which is the reciprocal of the curvature. Therefore the curvature K = dw/ds. The radius of curvature lies in the osculating plane. The radius of the curvature of a normal section is measured along the normal to the surface. The radius of curvature of a normal section is obtained when the osculating plane coincides with a normal section of the surface. The principal radii of curvature of a point P on a surface are the radii of curvature of the principal normal sections, which sections pass through the axes of the indicatrix.
Author : Jesse Dwight Suter
Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (89 download)
Download or read book On the Theory of Applicable Surfaces written by Jesse Dwight Suter and published by . This book was released on 1906 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maurice Leslie Hartung
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (89 download)
Download or read book Geodesics on Surfaces of Constant Curvature written by Maurice Leslie Hartung and published by . This book was released on 1926 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor Andreevich Toponogov
Publisher : Springer Science & Business Media
ISBN 13 : 0817644024
Total Pages : 215 pages
Book Rating : 4.8/5 (176 download)
Download or read book Differential Geometry of Curves and Surfaces written by Victor Andreevich Toponogov and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem Many nontrivial and original problems (some with hints and solutions) Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels
Author :
Publisher :
ISBN 13 :
Total Pages : 962 pages
Book Rating : 4.:/5 (31 download)
Download or read book The Americana written by and published by . This book was released on 1911 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrew Russell Forsyth
Publisher :
ISBN 13 :
Total Pages : 622 pages
Book Rating : 4.F/5 ( download)
Download or read book Lectures on the Differential Geometry of Curves and Surfaces written by Andrew Russell Forsyth and published by . This book was released on 1912 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yu.D. Burago
Publisher : Springer Science & Business Media
ISBN 13 : 3662027518
Total Pages : 263 pages
Book Rating : 4.6/5 (62 download)
Download or read book Geometry III written by Yu.D. Burago and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: A volume devoted to the extremely clear and intrinsically beautiful theory of two-dimensional surfaces in Euclidean spaces. The main focus is on the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry, and the influence of properties of intrinsic metrics on the geometry of surfaces.
Author : C. S. Aravinda
Publisher : Cambridge University Press
ISBN 13 : 110752900X
Total Pages : 378 pages
Book Rating : 4.1/5 (75 download)
Download or read book Geometry, Topology, and Dynamics in Negative Curvature written by C. S. Aravinda and published by Cambridge University Press. This book was released on 2016-01-21 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.
Author : Andrew Pollington
Publisher : Routledge
ISBN 13 : 135142775X
Total Pages : 340 pages
Book Rating : 4.3/5 (514 download)
Download or read book Number Theory with an Emphasis on the Markoff Spectrum written by Andrew Pollington and published by Routledge. This book was released on 2017-10-05 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the proceedings of a recently held conference in Provo, Utah, this reference provides original research articles in several different areas of number theory, highlighting the Markoff spectrum.;Detailing the integration of geometric, algebraic, analytic and arithmetic ideas, Number Theory with an Emphasis on the Markoff Spectrum contains refereed contributions on: general problems of diophantine approximation; quadratic forms and their connections with automorphic forms; the modular group and its subgroups; continued fractions; hyperbolic geometry; and the lower part of the Markoff spectrum.;Written by over 30 authorities in the field, this book should be a useful resource for research mathematicians in harmonic analysis, number theory algebra, geometry and probability and graduate students in these disciplines.
Author : M. Bachir Bekka
Publisher : Cambridge University Press
ISBN 13 : 9780521660303
Total Pages : 214 pages
Book Rating : 4.6/5 (63 download)
Download or read book Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces written by M. Bachir Bekka and published by Cambridge University Press. This book was released on 2000-05-11 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.
Author : Ivor Grattan-Guiness
Publisher : Routledge
ISBN 13 : 1134888392
Total Pages : 764 pages
Book Rating : 4.1/5 (348 download)
Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guiness and published by Routledge. This book was released on 2004-11-11 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Author : Shiing-Shen Chern
Publisher : World Scientific
ISBN 13 : 9789810241827
Total Pages : 370 pages
Book Rating : 4.2/5 (418 download)
Download or read book Lectures on Differential Geometry written by Shiing-Shen Chern and published by World Scientific. This book was released on 1999 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fiber bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specially for this edition by Professor Chern to bring the text into perspectives.
Author : G.L Oppo
Publisher : CRC Press
ISBN 13 : 9780750304900
Total Pages : 386 pages
Book Rating : 4.3/5 (49 download)
Download or read book Quantum Dynamics of Simple Systems written by G.L Oppo and published by CRC Press. This book was released on 1997-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present level of experimental sophistication in quantum physics allows physicists to explore domains unimaginable just a decade ago and to test the most fundamental laws of quantum mechanics. This has led to renewed interest in devising new tests, experiments, and devices where it is possible to observe the interaction and localization of just a few atoms or photons. These techniques have been used to reveal new nonclassical effects, to question the limit of the principle of correspondence, and to force quantum behavior in semiconductors. With contributions from leading experts in quantum systems, Quantum Dynamics of Simple Systems provides an overview of the present range of quantum dynamics, exploring their use and exotic behaviors. It covers specific subjects of quantum dynamics in a competent and detailed way with emphasis on simple systems where few atoms or electrons are involved. This volume will prove to be a useful tool for graduate students as well as experienced physicists.
Author : Walter William Rouse Ball
Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.:/5 (89 download)
Download or read book Mathematical Recreations and Essays written by Walter William Rouse Ball and published by . This book was released on 1920 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Katsuei Kenmotsu
Publisher : American Mathematical Soc.
ISBN 13 : 9780821834794
Total Pages : 156 pages
Book Rating : 4.8/5 (347 download)
Download or read book Surfaces with Constant Mean Curvature written by Katsuei Kenmotsu and published by American Mathematical Soc.. This book was released on 2003 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the three-dimensional space. A surface whose mean curvature is zero at each point is a minimal surface, and it is known that such surfaces are models for soap film. There is a rich and well-known theory of minimal surfaces. A surface whose mean curvature is constant but nonzero is obtained when we try to minimize the area of a closed surface without changing the volume it encloses. An easy example of a surface of constant mean curvature is the sphere. A nontrivial example is provided by the constant curvature torus, whose discovery in 1984 gave a powerful incentive for studying such surfaces. Later, many examples of constant mean curvature surfaces were discovered using various methods of analysis, differential geometry, and differential equations. It is now becoming clear that there is a rich theory of surfaces of constant mean curvature. In this book, the author presents numerous examples of constant mean curvature surfaces and techniques for studying them. Many finely rendered figures illustrate the results and allow the reader to visualize and better understand these beautiful objects. The book is suitable for advanced undergraduates, graduate students and research mathematicians interested in analysis and differential geometry.
Author : James Mattingly
Publisher : SAGE Publications
ISBN 13 : 1506353282
Total Pages : 1801 pages
Book Rating : 4.5/5 (63 download)
Download or read book The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics written by James Mattingly and published by SAGE Publications. This book was released on 2022-10-28 with total page 1801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project Description: Theories are part and parcel of every human activity that involves knowing about the world and our place in it. In all areas of inquiry from the most commonplace to the most scholarly and esoteric, theorizing plays a fundamental role. The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics focuses on the ways that various STEM disciplines theorize about their subject matter. How is thinking about the subject organized? What methods are used in moving a novice in given field into the position of a competent student of that subject? Within the pages of this landmark work, readers will learn about the complex decisions that are made when framing a theory, what goes into constructing a powerful theory, why some theories change or fail, how STEM theories reflect socio-historical moments in time and how – at their best – they form the foundations for exploring and unlocking the mysteries of the world around us. Featuring more than 200 authoritative articles written by experts in their respective fields, the encyclopedia includes a Reader’s Guide that organizes entries by broad themes; lists of Further Readings and cross-references that conclude each article; and a Resource Guide listing classic books in the field, leading journals, associations, and key websites.
