Parametric Geometry Of Curves And Surfaces
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Parametric Geometry Of Curves And Surfaces
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Author : Alberto Lastra
language : en
Publisher: Springer Nature
Release Date : 2021-09-06
Parametric Geometry Of Curves And Surfaces written by Alberto Lastra and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-06 with Mathematics categories.
This textbook provides a thorough introduction to the differential geometry of parametrized curves and surfaces, along with a wealth of applications to specific architectural elements. Geometric elements in architecture respond to practical, physical and aesthetic needs. Proper understanding of the mathematics underlying the geometry provides control over the construction. This book relates the classical mathematical theory of parametrized curves and surfaces to multiple applications in architecture. The presentation is mathematically complete with numerous figures and animations illustrating the theory, and special attention is given to some of the recent trends in the field. Solved exercises are provided to see the theory in practice. Intended as a textbook for lecture courses, Parametric Geometry of Curves and Surfaces is suitable for mathematically-inclined students in engineering, architecture and related fields, and can also serve as a textbook for traditional differential geometry courses to mathematics students. Researchers interested in the mathematics of architecture or computer-aided design will also value its combination of precise mathematics and architectural examples.
A Treatise On The Differential Geometry Of Curves And Surfaces
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Author : Luther Pfahler Eisenhart
language : en
Publisher: Courier Corporation
Release Date : 2013-04-25
A Treatise On The Differential Geometry Of Curves And Surfaces written by Luther Pfahler Eisenhart and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-25 with Mathematics categories.
Created especially for graduate students by a leading writer on mathematics, this introduction to the geometry of curves and surfaces concentrates on problems that students will find most helpful.
Differential Geometry Of Curves And Surfaces
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Author : Thomas F. Banchoff
language : en
Publisher: CRC Press
Release Date : 2022-08-05
Differential Geometry Of Curves And Surfaces written by Thomas F. Banchoff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-05 with Mathematics categories.
The Third edition has been made more accessible by offering more graduated exercise sets. Also, Maple applets replace the Java used in the previous two editions. There are other books with this title, yet none offer integrated technology to assist students in visualizing the concepts. The use of Maple to build in a visual element, often in three dimensions, creates an opportunity for readers, instructors, and students will find compelling.
Differential Geometry Of Curves And Surfaces
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Author : Thomas F. Banchoff
language : en
Publisher: CRC Press
Release Date : 2016-04-05
Differential Geometry Of Curves And Surfaces written by Thomas F. Banchoff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-05 with Mathematics categories.
Differential Geometry of Curves and Surfaces, Second Edition takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive computer graphics applets suppor
Projective Differential Geometry Of Curves And Surfaces
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Author : Ernest Preston Lane
language : en
Publisher:
Release Date : 1932
Projective Differential Geometry Of Curves And Surfaces written by Ernest Preston Lane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1932 with Mathematics categories.
Curves And Surfaces
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Author : Pierre-Jean Laurent
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Curves And Surfaces written by Pierre-Jean Laurent and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Curves and Surfaces provides information pertinent to the fundamental aspects of approximation theory with emphasis on approximation of images, surface compression, wavelets, and tomography. This book covers a variety of topics, including error estimates for multiquadratic interpolation, spline manifolds, and vector spline approximation. Organized into 77 chapters, this book begins with an overview of the method, based on a local Taylor expansion of the final curve, for computing the parameter values. This text then presents a vector approximation based on general spline function theory. Other chapters consider a nonparametric technique for estimating under random censorship the amplitude of a change point in change point hazard models. This book discusses as well the algorithm for ray tracing rational parametric surfaces based on inversion and implicitization. The final chapter deals with the results concerning the norm of the interpolation operator and error estimates for a square domain. This book is a valuable resource for mathematicians.
Metric Differential Geometry Of Curves And Surfaces
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Author : Ernest Preston Lane
language : en
Publisher:
Release Date : 1940
Metric Differential Geometry Of Curves And Surfaces written by Ernest Preston Lane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1940 with Mathematics categories.
Differential Geometry Of Curves And Surfaces
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Author : Victor Andreevich Toponogov
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-10
Differential Geometry Of Curves And Surfaces written by Victor Andreevich Toponogov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-10 with Mathematics categories.
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
Differential Geometry
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Author : Wolfgang Kühnel
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Differential Geometry written by Wolfgang Kühnel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Curves categories.
Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in I\!\!R^3 that arise in calculus. Here we learn about line and surface integrals, divergence and curl, and the various forms of Stokes' Theorem. If we are fortunate, we may encounter curvature and such things as the Serret-Frenet formulas. With just the basic tools from multivariable calculus, plus a little knowledge of linear algebra, it is possible to begin a much richer and rewarding study of differential geometry, which is what is presented in this book. It starts with an introduction to the classical differential geometry of curves and surfaces in Euclidean space, then leads to an introduction to the Riemannian geometry of more general manifolds, including a look at Einstein spaces. An important bridge from the low-dimensional theory to the general case is provided by a chapter on the intrinsic geometry of surfaces. The first half of the book, covering the geometry of curves and surfaces, would be suitable for a one-semester undergraduate course. The local and global theories of curves and surfaces are presented, including detailed discussions of surfaces of rotation, ruled surfaces, and minimal surfaces. The second half of the book, which could be used for a more advanced course, begins with an introduction to differentiable manifolds, Riemannian structures, and the curvature tensor. Two special topics are treated in detail: spaces of constant curvature and Einstein spaces. The main goal of the book is to get started in a fairly elementary way, then to guide the reader toward more sophisticated concepts and more advanced topics. There are many examples and exercises to help along the way. Numerous figures help the reader visualize key concepts and examples, especially in lower dimensions. For the second edition, a number of errors were corrected and some text and a number of figures have been added.
Differential Geometry Of Three Dimensions
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Author : C. E. Weatherburn
language : en
Publisher: Cambridge University Press
Release Date : 1927
Differential Geometry Of Three Dimensions written by C. E. Weatherburn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.
Originally published in 1930, as the second of a two-part set, this textbook contains a vectorial treatment of geometry.