The Advanced Geometry Of Plane Curves And Their Applications
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The Advanced Geometry Of Plane Curves And Their Applications
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Author : Cornelis Zwikker
language : en
Publisher: Courier Dover Publications
Release Date : 2005
The Advanced Geometry Of Plane Curves And Their Applications written by Cornelis Zwikker and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
"Of chief interest to mathematicians, but physicists and others will be fascinated ... and intrigued by the fruitful use of non-Cartesian methods. Students ... should find the book stimulating." — British Journal of Applied Physics This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. Its wide coverage, which includes both algebraic and transcendental curves, extends to unusual properties of familiar curves along with the nature of lesser known curves. Informative discussions of the line, circle, parabola, ellipse, and hyperbola presuppose only the most elementary facts. The less common curves — cissoid, strophoid, spirals, the leminscate, cycloid, epicycloid, cardioid, and many others — receive introductions that explain both their basic and advanced properties. Derived curves-the involute, evolute, pedal curve, envelope, and orthogonal trajectories-are also examined, with definitions of their important applications. These range through the fields of optics, electric circuit design, hydraulics, hydrodynamics, classical mechanics, electromagnetism, crystallography, gear design, road engineering, orbits of subatomic particles, and similar areas in physics and engineering. The author represents the points of the curves by complex numbers, rather than the real Cartesian coordinates, an approach that permits simple, direct, and elegant proofs.
The Advanced Geometry Of Plane Curves And Their Applications
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Author : C. Zwikker
language : en
Publisher: Courier Corporation
Release Date : 2011-11-30
The Advanced Geometry Of Plane Curves And Their Applications written by C. Zwikker and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with Mathematics categories.
"Of chief interest to mathematicians, but physicists and others will be fascinated ... and intrigued by the fruitful use of non-Cartesian methods. Students ... should find the book stimulating." — British Journal of Applied Physics This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. Its wide coverage, which includes both algebraic and transcendental curves, extends to unusual properties of familiar curves along with the nature of lesser known curves. Informative discussions of the line, circle, parabola, ellipse, and hyperbola presuppose only the most elementary facts. The less common curves — cissoid, strophoid, spirals, the leminscate, cycloid, epicycloid, cardioid, and many others — receive introductions that explain both their basic and advanced properties. Derived curves-the involute, evolute, pedal curve, envelope, and orthogonal trajectories-are also examined, with definitions of their important applications. These range through the fields of optics, electric circuit design, hydraulics, hydrodynamics, classical mechanics, electromagnetism, crystallography, gear design, road engineering, orbits of subatomic particles, and similar areas in physics and engineering. The author represents the points of the curves by complex numbers, rather than the real Cartesian coordinates, an approach that permits simple, direct, and elegant proofs.
The Advanced Geometry Of Plane Curves And Their Applications
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Author : C. Zwikker
language : en
Publisher:
Release Date : 1963
The Advanced Geometry Of Plane Curves And Their Applications written by C. Zwikker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Curves categories.
The Advanced Geometry Of Plane Curves And Their Applications
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Author : C. Zwikker
language : es
Publisher:
Release Date : 1963
The Advanced Geometry Of Plane Curves And Their Applications written by C. Zwikker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
A Catalog Of Special Plane Curves
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Author : J. Dennis Lawrence
language : en
Publisher: Courier Corporation
Release Date : 2013-12-31
A Catalog Of Special Plane Curves written by J. Dennis Lawrence and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-31 with Mathematics categories.
DIVOne of the most beautiful aspects of geometry. Information on general properties, derived curves, geometric and analytic properties of each curve. 89 illus. /div
Pythagorean Hodograph Curves Algebra And Geometry Inseparable
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Author : Rida T Farouki
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-11
Pythagorean Hodograph Curves Algebra And Geometry Inseparable written by Rida T Farouki 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 2007-10-11 with Mathematics categories.
By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. It emphasizes the interplay of ideas from algebra and geometry and their historical origins and includes many figures, worked examples, and detailed algorithm descriptions.
Geometric Methods In Physics Xl
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Author : Piotr Kielanowski
language : en
Publisher: Springer Nature
Release Date : 2024-08-27
Geometric Methods In Physics Xl written by Piotr Kielanowski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-27 with Science categories.
This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Białowieża, Poland in July 2023. These chapters provide readers an overview of cutting-edge research in infinite-dimensional groups, integrable systems, quantum groups, Lie algebras and their generalizations and a wide variety of other areas. Specific topics include: Yang-Baxter equation The restricted Siegel disc and restricted Grassmannian Geometric and deformation quantization Degenerate integrability Lie algebroids and groupoids Skew braces Geometric Methods in Physics XL will be a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas.
Geometric Methods In Physics Xxxix
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Author : Piotr Kielanowski
language : en
Publisher: Springer Nature
Release Date : 2023-07-21
Geometric Methods In Physics Xxxix written by Piotr Kielanowski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-21 with Science categories.
This volume collects papers based on lectures given at the XXXIX Workshop on Geometric Methods in Physics, held in Białystok, Poland in June 2022. These chapters provide readers an overview of cutting-edge research in geometry, analysis, and a wide variety of other areas. Specific topics include: Classical and quantum field theories Infinite-dimensional groups Integrable systems Lie groupoids and Lie algebroids Representation theory Geometric Methods in Physics XXXIX will be a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas.
Geometry I
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Author : Marcel Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-21
Geometry I written by Marcel Berger 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 2009-01-21 with Mathematics categories.
Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.
Handbook Of Computer Aided Geometric Design
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Author : G. Farin
language : en
Publisher: Elsevier
Release Date : 2002-08-13
Handbook Of Computer Aided Geometric Design written by G. Farin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-13 with Mathematics categories.
This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include:Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering.This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposureto this subject.