Skip to main content

The Advanced Geometry Of Plane Curves And Their Applications

Download The Advanced Geometry Of Plane Curves And Their Applications Full eBooks in PDF, EPUB, and kindle. The Advanced Geometry Of Plane Curves And Their Applications is one my favorite book and give us some inspiration, very enjoy to read. you could read this book anywhere anytime directly from your device. This site is like a library, Use search box in the widget to get ebook that you want.

The Advanced Geometry of Plane Curves and Their Applications

The Advanced Geometry of Plane Curves and Their Applications Book
Author : C. Zwikker
Publisher : Courier Corporation
Release : 2011-11-30
ISBN : 0486153436
File Size : 37,5 Mb
Language : En, Es, Fr and De

DOWNLOAD

Book Summary :

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. 1950 edition.

The Advanced Geometry of Plane Curves and Their Applications

The Advanced Geometry of Plane Curves and Their Applications Book
Author : C. Zwikker
Publisher : Courier Dover Publications
Release : 2005
ISBN : 0987650XXX
File Size : 31,7 Mb
Language : En, Es, Fr and De

DOWNLOAD

Book Summary :

"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.

A Catalog of Special Plane Curves

A Catalog of Special Plane Curves Book
Author : J. Dennis Lawrence
Publisher : Courier Corporation
Release : 2013-12-31
ISBN : 0486167666
File Size : 44,7 Mb
Language : En, Es, Fr and De

DOWNLOAD

Book Summary :

DIVOne of the most beautiful aspects of geometry. Information on general properties, derived curves, geometric and analytic properties of each curve. 89 illus. /div

Differential Geometry and Its Applications

Differential Geometry and Its Applications Book
Author : John Oprea
Publisher : American Mathematical Soc.
Release : 2019-02-06
ISBN : 147045050X
File Size : 40,7 Mb
Language : En, Es, Fr and De

DOWNLOAD

Book Summary :

Differential Geometry and Its Applications studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole. It mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. That mix of ideas offers students the opportunity to visualize concepts through the use of computer algebra systems such as Maple. Differential Geometry and Its Applications emphasizes that this visualization goes hand in hand with understanding the mathematics behind the computer construction. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.

Modern Differential Geometry of Curves and Surfaces with Mathematica

Modern Differential Geometry of Curves and Surfaces with Mathematica Book
Author : Elsa Abbena,Simon Salamon,Alfred Gray
Publisher : CRC Press
Release : 2017-09-06
ISBN : 1351992201
File Size : 48,8 Mb
Language : En, Es, Fr and De

DOWNLOAD

Book Summary :

Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.

The Mathematics of Surfaces IX

The Mathematics of Surfaces IX Book
Author : Roberto Cipolla,Ralph Martin
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1447104951
File Size : 27,6 Mb
Language : En, Es, Fr and De

DOWNLOAD

Book Summary :

These proceedings collect the papers accepted for presentation at the bien nial IMA Conference on the Mathematics of Surfaces, held in the University of Cambridge, 4-7 September 2000. While there are many international con ferences in this fruitful borderland of mathematics, computer graphics and engineering, this is the oldest, the most frequent and the only one to concen trate on surfaces. Contributors to this volume come from twelve different countries in Eu rope, North America and Asia. Their contributions reflect the wide diversity of present-day applications which include modelling parts of the human body for medical purposes as well as the production of cars, aircraft and engineer ing components. Some applications involve design or construction of surfaces by interpolating or approximating data given at points or on curves. Others consider the problem of 'reverse engineering'-giving a mathematical descrip tion of an already constructed object. We are particularly grateful to Pamela Bye (at the Institue of Mathemat ics and its Applications) for help in making arrangements; Stephanie Harding and Karen Barker (at Springer Verlag, London) for publishing this volume and to Kwan-Yee Kenneth Wong (Cambridge) for his heroic help with com piling the proceedings and for dealing with numerous technicalities arising from large and numerous computer files. Following this Preface is a listing of the programme committee who with the help of their colleagues did much work in refereeing the papers for these proceedings.

The Many Faces of Elastica

The Many Faces of Elastica Book
Author : Ivaïlo M. Mladenov,Mariana Hadzhilazova
Publisher : Springer
Release : 2017-08-18
ISBN : 3319612441
File Size : 50,9 Mb
Language : En, Es, Fr and De

DOWNLOAD

Book Summary :

This book provides an introduction to the mathematical aspects of Euler's elastic theory and its application. The approach is rigorous, as well as visually depicted, and can be easily digested. The first few chapters introduce the needed mathematical concepts from geometry and variational calculus. The formal definitions and proofs are always illustrated through complete derivations and concrete examples. In this way, the reader becomes acquainted with Cassinian ovals, Sturmian spirals, co-Lemniscates, the nodary and the undulary, Delaunay surfaces, and their generalizations. The remaining chapters discuss the modeling of membranes, mylar balloons, rotating liquid drops, Hele-Shaw cells, nerve fibers, Cole's experiments, and membrane fusion. The book is geared towards applied mathematicians, physicists and engineers interested in Elastica Theory and its applications.

Pythagorean Hodograph Curves Algebra and Geometry Inseparable

Pythagorean Hodograph Curves  Algebra and Geometry Inseparable Book
Author : Rida T Farouki
Publisher : Springer Science & Business Media
Release : 2007-10-11
ISBN : 3540733973
File Size : 35,6 Mb
Language : En, Es, Fr and De

DOWNLOAD

Book Summary :

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.