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Author : Paul Raymond Scott
Publisher :
ISBN 13 : 9780701517397
Total Pages : 74 pages
Book Rating : 4.5/5 (173 download)
Download or read book Discovering Curves and Surfaces written by Paul Raymond Scott and published by . This book was released on 1974 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maciej Klimek
Publisher : Springer Science & Business Media
ISBN 13 : 9780387948904
Total Pages : 244 pages
Book Rating : 4.9/5 (489 download)
Download or read book Discovering Curves and Surfaces with Maple® written by Maciej Klimek and published by Springer Science & Business Media. This book was released on 1997-08-21 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the fact that Maple is one of the most popular computer algebra systems on the market, surprisingly few users realise its potential for scientific visualisation. This book equips readers with the graphics tools needed on the voyage into the complex and beautiful world of curves and surfaces. A comprehensive treatment of Maples graphics commands and structures is combined with an introduction to the main aspects of visual perception, with priority given to the use of light, colour, perspective, and geometric transformations. Numerous examples cover all aspects of Maple graphics, and these may be easily tailored to the individual needs of the reader. The approach is context-independent, and as such will appeal to students, educators, and researchers in a broad spectrum of scientific disciplines. For the general user at any level of experience, this book will serve as a comprehensive reference manual. For the beginner, it offers a user-friendly introduction to the subject, with mathematical requirements kept to a minimum, while, for those interested in advanced mathematical visualisation, it explains how to maximise Maples graphical capabilities.
Author : Grazyna Klimek
Publisher :
ISBN 13 : 9783540948902
Total Pages : 217 pages
Book Rating : 4.9/5 (489 download)
Download or read book Discovering Curves and Surfaces with Maple written by Grazyna Klimek and published by . This book was released on 1997 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maciej Klimek
Publisher : Springer Science & Business Media
ISBN 13 : 1461218268
Total Pages : 231 pages
Book Rating : 4.4/5 (612 download)
Download or read book Discovering Curves and Surfaces with Maple® written by Maciej Klimek and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the fact that Maple is one of the most popular computer algebra systems on the market, surprisingly few users realise its potential for scientific visualisation. This book equips readers with the graphics tools needed on the voyage into the complex and beautiful world of curves and surfaces. A comprehensive treatment of Maples graphics commands and structures is combined with an introduction to the main aspects of visual perception, with priority given to the use of light, colour, perspective, and geometric transformations. Numerous examples cover all aspects of Maple graphics, and these may be easily tailored to the individual needs of the reader. The approach is context-independent, and as such will appeal to students, educators, and researchers in a broad spectrum of scientific disciplines. For the general user at any level of experience, this book will serve as a comprehensive reference manual. For the beginner, it offers a user-friendly introduction to the subject, with mathematical requirements kept to a minimum, while, for those interested in advanced mathematical visualisation, it explains how to maximise Maples graphical capabilities.
Author :
Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.3/5 (91 download)
Download or read book Discovery written by and published by . This book was released on 1925 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Daniel Boissonnat
Publisher : Springer
ISBN 13 : 3642274137
Total Pages : 758 pages
Book Rating : 4.6/5 (422 download)
Download or read book Curves and Surfaces written by Jean-Daniel Boissonnat and published by Springer. This book was released on 2012-01-06 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Curves and Surfaces, held in Avignon, in June 2010. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 39 revised full papers presented together with 9 invited talks were carefully reviewed and selected from 114 talks presented at the conference. The topics addressed by the papers range from mathematical foundations to practical implementation on modern graphics processing units and address a wide area of topics such as computer-aided geometric design, computer graphics and visualisation, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, scattered data processing and learning theory and subdivision, wavelets and multi-resolution methods.
Author : M. Abate
Publisher : Springer Science & Business Media
ISBN 13 : 8847019419
Total Pages : 407 pages
Book Rating : 4.8/5 (47 download)
Download or read book Curves and Surfaces written by M. Abate and published by Springer Science & Business Media. This book was released on 2012-06-11 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theorem of the local theory of curves. Then, after a self-contained presentation of degree theory for continuous self-maps of the circumference, we study the global theory of plane curves, introducing winding and rotation numbers, and proving the Jordan curve theorem for curves of class C2, and Hopf theorem on the rotation number of closed simple curves. The local theory of surfaces begins with a comparison of the concept of parametrized (i.e., immersed) surface with the concept of regular (i.e., embedded) surface. We then develop the basic differential geometry of surfaces in R3: definitions, examples, differentiable maps and functions, tangent vectors (presented both as vectors tangent to curves in the surface and as derivations on germs of differentiable functions; we shall consistently use both approaches in the whole book) and orientation. Next we study the several notions of curvature on a surface, stressing both the geometrical meaning of the objects introduced and the algebraic/analytical methods needed to study them via the Gauss map, up to the proof of Gauss’ Teorema Egregium. Then we introduce vector fields on a surface (flow, first integrals, integral curves) and geodesics (definition, basic properties, geodesic curvature, and, in the complementary material, a full proof of minimizing properties of geodesics and of the Hopf-Rinow theorem for surfaces). Then we shall present a proof of the celebrated Gauss-Bonnet theorem, both in its local and in its global form, using basic properties (fully proved in the complementary material) of triangulations of surfaces. As an application, we shall prove the Poincaré-Hopf theorem on zeroes of vector fields. Finally, the last chapter will be devoted to several important results on the global theory of surfaces, like for instance the characterization of surfaces with constant Gaussian curvature, and the orientability of compact surfaces in R3.
Author : Edward Harrington Lockwood
Publisher : Cambridge University Press
ISBN 13 : 9781001224114
Total Pages : 290 pages
Book Rating : 4.2/5 (241 download)
Download or read book A Book of Curves written by Edward Harrington Lockwood and published by Cambridge University Press. This book was released on 1967 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the drawing of plane curves, cycloidal curves, spirals, glissettes and others.
Author : James Casey
Publisher : Springer Science & Business Media
ISBN 13 : 3322802744
Total Pages : 305 pages
Book Rating : 4.3/5 (228 download)
Download or read book Exploring Curvature written by James Casey and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory book is organized around a collection of simple experiments which the reader can perform at home or in a classroom setting. Methods for physically exploring the intrinsic geometry of commonplace curved objects (such as bowls, balls and watermelons) are described. The concepts of Gaussian curvature, parallel transport, and geodesics are treated.
Author : Kristopher Tapp
Publisher : Springer
ISBN 13 : 3319397990
Total Pages : 370 pages
Book Rating : 4.3/5 (193 download)
Download or read book Differential Geometry of Curves and Surfaces written by Kristopher Tapp and published by Springer. This book was released on 2016-09-30 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on differential geometry well-suited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are minimal and include plenty of examples and intermediate steps within proofs, while providing an invitation to more excursive applications and advanced topics. For readers bound for graduate school in math or physics, this is a clear, concise, rigorous development of the topic including the deep global theorems. For the benefit of all readers, the author employs various techniques to render the difficult abstract ideas herein more understandable and engaging. Over 300 color illustrations bring the mathematics to life, instantly clarifying concepts in ways that grayscale could not. Green-boxed definitions and purple-boxed theorems help to visually organize the mathematical content. Color is even used within the text to highlight logical relationships. Applications abound! The study of conformal and equiareal functions is grounded in its application to cartography. Evolutes, involutes and cycloids are introduced through Christiaan Huygens' fascinating story: in attempting to solve the famous longitude problem with a mathematically-improved pendulum clock, he invented mathematics that would later be applied to optics and gears. Clairaut’s Theorem is presented as a conservation law for angular momentum. Green’s Theorem makes possible a drafting tool called a planimeter. Foucault’s Pendulum helps one visualize a parallel vector field along a latitude of the earth. Even better, a south-pointing chariot helps one visualize a parallel vector field along any curve in any surface. In truth, the most profound application of differential geometry is to modern physics, which is beyond the scope of this book. The GPS in any car wouldn’t work without general relativity, formalized through the language of differential geometry. Throughout this book, applications, metaphors and visualizations are tools that motivate and clarify the rigorous mathematical content, but never replace it.
Author : Carl Friedrich Gauss
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (89 download)
Download or read book General Investigations of Curved Surfaces of 1827 and 1825 written by Carl Friedrich Gauss and published by . This book was released on 1902 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Friedman
Publisher : Springer Nature
ISBN 13 : 3031057201
Total Pages : 258 pages
Book Rating : 4.0/5 (31 download)
Download or read book Ramified Surfaces written by Michael Friedman and published by Springer Nature. This book was released on 2022-09-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. Starting with separate beginnings during the 19th century with descriptive geometry as well as knot theory, the book focuses on the 20th century, covering the rise of the Italian school of algebraic geometry between the 1900s till the 1930s (with Federigo Enriques, Oscar Zariski and Beniamino Segre, among others), the decline of its classical approach during the 1940s and the 1950s (with Oscar Chisini and his students), and the emergence of new approaches with Boris Moishezon’s program of braid monodromy factorization. By focusing on how the research on one specific curve changed during the 20th century, the author provides insights concerning the dynamics of epistemic objects and configurations of mathematical research. It is in this sense that the book offers to take the branch curve as a cross-section through the history of algebraic geometry of the 20th century, considering this curve as an intersection of several research approaches and methods. Researchers in the history of science and of mathematics as well as mathematicians will certainly find this book interesting and appealing, contributing to the growing research on the history of algebraic geometry and its changing images.
Author : David W. Farmer
Publisher : American Mathematical Soc.
ISBN 13 : 0821804510
Total Pages : 111 pages
Book Rating : 4.8/5 (218 download)
Download or read book Knots and Surfaces written by David W. Farmer and published by American Mathematical Soc.. This book was released on 1996 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: In most mathematics textbooks, the most exciting part of mathematics - the process of invention and discovery - is completely hidden from the student. The aim of Knots and Surfaces is to change all that. Knots and Surfaces guides the reader through Euler's formula, one and two-sided surfaces, and knot theory using games and examples. By means of a series of carefully selected tasks, this book leads the reader on to discover some real mathematics. There are no formulas to memorize; no procedures to follow. This book is a guide to the mathematics - it starts you in the right direction and brings you back if you stray too far. Discovery is left to you. This book is aimed at undergraduates and those with little background knowledge of mathematics.
Author : Andrew Russell Forsyth
Publisher :
ISBN 13 :
Total Pages : 527 pages
Book Rating : 4.:/5 (749 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 1920 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor Aladjev
Publisher : Fultus Corporation
ISBN 13 : 1596820802
Total Pages : 405 pages
Book Rating : 4.5/5 (968 download)
Download or read book Maple written by Victor Aladjev and published by Fultus Corporation. This book was released on 2006 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of two parts. The first part consists of seven chapters and presents a new software for package Maple of releases 6-10. The tools represented in this chapters increase the range and efficiency of use of Maple on Windows platform. The basic attention is devoted to additional tools created in the process of practical use and testing the Maple of releases 4 - 10 which by some parameters extend essentially the opportunities of the package and facilitate the work with it.Whereas the algorithms of physical and engineering problems of the second part mainly use the finite element method (FEM). The part consists of eight chapters and solves in Maple environment the physical and engineering problems from such fields as: thermal conductivity, mechanics of deformable bodies, theory of elasticity, hydrodynamics, hydromechanics, etc. At last, application of Maple for solution of optimization problems is presented.
Author : Allan McRobie
Publisher : Princeton University Press
ISBN 13 : 0691175330
Total Pages : 168 pages
Book Rating : 4.6/5 (911 download)
Download or read book The Seduction of Curves written by Allan McRobie and published by Princeton University Press. This book was released on 2017-09-19 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this large-format book, lavishly illustrated in color throughout, Allan McRobie takes the reader on an alluring exploration of the beautiful curves that shape our world--from our bodies to Salvador Dalí's paintings and the space-time fabric of the universe itself. The book focuses on seven curves--the fold, cusp, swallowtail, and butterfly, plus the hyperbolic, elliptical, and parabolic "umbilics"--and describes the surprising origins of their taxonomy in the catastrophe theory of mathematician René Thom.
Author : William Henry Roever
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (813 download)
Download or read book Brilliant Points of Curves and Surfaces written by William Henry Roever and published by . This book was released on 1908 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
