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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 : 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 : 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 : 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 : 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 : 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 : 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.
Author : Martin C. Gutzwiller
Publisher : Springer Science & Business Media
ISBN 13 : 1461209838
Total Pages : 445 pages
Book Rating : 4.4/5 (612 download)
Download or read book Chaos in Classical and Quantum Mechanics written by Martin C. Gutzwiller and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.
Author : Luther Pfahler Eisenhart
Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.:/5 (4 download)
Download or read book A Treatise on the Differential Geometry of Curves and Surfaces written by Luther Pfahler Eisenhart and published by . This book was released on 1909 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Treatise on the Differential Geometry of Curves and Surfaces by Luther Pfahler Eisenhart, first published in 1909, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it.
Author : C. S. Aravinda
Publisher : Cambridge University Press
ISBN 13 : 1316539180
Total Pages : 378 pages
Book Rating : 4.3/5 (165 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: The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often interact in novel and interesting ways. Containing ten survey articles written by some of the leading experts in the field, this proceedings volume provides an overview of important recent developments relating to negative curvature. Topics covered include homogeneous dynamics, harmonic manifolds, the Atiyah Conjecture, counting circles and arcs, and hyperbolic buildings. Each author pays particular attention to the expository aspects, making the book particularly useful for graduate students and mathematicians interested in transitioning from other areas via the common theme of negative curvature.
Author : A. T. Fomenko
Publisher : American Mathematical Soc.
ISBN 13 : 9780821898277
Total Pages : 424 pages
Book Rating : 4.8/5 (982 download)
Download or read book Minimal Surfaces, Stratified Multivarifolds, and the Plateau Problem written by A. T. Fomenko and published by American Mathematical Soc.. This book was released on 1991-02-21 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plateau's problem is a scientific trend in modern mathematics that unites several different problems connected with the study of minimal surfaces. In its simplest version, Plateau's problem is concerned with finding a surface of least area that spans a given fixed one-dimensional contour in three-dimensional space--perhaps the best-known example of such surfaces is provided by soap films. From the mathematical point of view, such films are described as solutions of a second-order partial differential equation, so their behavior is quite complicated and has still not been thoroughly studied. Soap films, or, more generally, interfaces between physical media in equilibrium, arise in many applied problems in chemistry, physics, and also in nature. In applications, one finds not only two-dimensional but also multidimensional minimal surfaces that span fixed closed ``contours'' in some multidimensional Riemannian space. An exact mathematical statement of the problem of finding a surface of least area or volume requires the formulation of definitions of such fundamental concepts as a surface, its boundary, minimality of a surface, and so on. It turns out that there are several natural definitions of these concepts, which permit the study of minimal surfaces by different, and complementary, methods. In the framework of this comparatively small book it would be almost impossible to cover all aspects of the modern problem of Plateau, to which a vast literature has been devoted. However, this book makes a unique contribution to this literature, for the authors' guiding principle was to present the material with a maximum of clarity and a minimum of formalization. Chapter 1 contains historical background on Plateau's problem, referring to the period preceding the 1930s, and a description of its connections with the natural sciences. This part is intended for a very wide circle of readers and is accessible, for example, to first-year graduate students. The next part of the book, comprising Chapters 2-5, gives a fairly complete survey of various modern trends in Plateau's problem. This section is accessible to second- and third-year students specializing in physics and mathematics. The remaining chapters present a detailed exposition of one of these trends (the homotopic version of Plateau's problem in terms of stratified multivarifolds) and the Plateau problem in homogeneous symplectic spaces. This last part is intended for specialists interested in the modern theory of minimal surfaces and can be used for special courses; a command of the concepts of functional analysis is assumed.
