A Book of Curves PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Book of Curves PDF full book. Access full book title A Book of Curves by Edward Harrington Lockwood. Download full books in PDF and EPUB format.
Author: Edward Harrington Lockwood
Publisher: Cambridge University Press
ISBN: 9781001224114
Category : Curves
Languages : en
Pages : 290
Get Book Here
Book Description
Describes the drawing of plane curves, cycloidal curves, spirals, glissettes and others.
Author: Edward Harrington Lockwood
Publisher: Cambridge University Press
ISBN: 9781001224114
Category : Curves
Languages : en
Pages : 290
Get Book Here
Book Description
Describes the drawing of plane curves, cycloidal curves, spirals, glissettes and others.
Author: Allan McRobie
Publisher: Princeton University Press
ISBN: 0691175330
Category : Art
Languages : en
Pages : 168
Get Book Here
Book Description
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: Theodore Andrea Cook
Publisher:
ISBN:
Category : Aesthetics
Languages : en
Pages : 520
Get Book Here
Book Description
Author: C. Zwikker
Publisher: Courier Corporation
ISBN: 0486153436
Category : Mathematics
Languages : en
Pages : 316
Get Book Here
Book Description
"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.
Author: M. Abate
Publisher: Springer Science & Business Media
ISBN: 8847019419
Category : Mathematics
Languages : en
Pages : 407
Get Book Here
Book Description
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: Victor Gutenmacher
Publisher: Springer Science & Business Media
ISBN: 1475738099
Category : Mathematics
Languages : en
Pages : 166
Get Book Here
Book Description
Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels
Author: Gary Heavin
Publisher: Penguin
ISBN: 9780399529566
Category : Health & Fitness
Languages : en
Pages : 356
Get Book Here
Book Description
The power to amaze in 30 minutes a day, 3 days a week. Two million women have discovered Gary Heavin's secret to permanent weight loss at more than six thousand Curves fitness and weight-loss centers around the country. In thirty minutes, three times a week—and without a restrictive diet—many have been able to take off the weight and keep it off for good. The Curves Promise: A unique three-part nutrition plan that produces results quickly and shows how to maintain weight loss in order to eat normally for 28 days, and only monitor food intake two days a month A Metabolic Tune-Up helps deter yo-yo dieting and shows how to lose weight by eating more, not less Simple self-tests determine calorie or carbohydrate sensitivity, helping women individualize their food plan Shopping lists, meal plans, recipes, food and supplement guides, and charts to track progress and guide users through every phase of the nutrition and exercise plan A complete Curves At-Home workout, combining strength training and aerobics and taking only thirty minutes a day-no more than three times a week
Author: J. Dennis Lawrence
Publisher: Courier Corporation
ISBN: 0486167666
Category : Mathematics
Languages : en
Pages : 244
Get Book Here
Book Description
DIVOne of the most beautiful aspects of geometry. Information on general properties, derived curves, geometric and analytic properties of each curve. 89 illus. /div
Author: Jenny Pedigo
Publisher: Fox Chapel Publishing
ISBN: 1607659107
Category : Crafts & Hobbies
Languages : en
Pages : 341
Get Book Here
Book Description
· An exciting new collection of 30 sampler quilt blocks · Includes 3 sampler quilts and 11 mix-and-match projects for a total of 14 quilt projects, all with step-by-step instructions and helpful diagrams · Features an easy and approachable “cut-sew-square up” technique to form curves, as well as instructions on how to use the Wonder Curve Ruler tool · Multiple designs can be created with 1, 2, several, or all of the 30 sampler blocks, providing quilters with endless possibilities and creative freedom · Written by sisters Jenny Pedigo, Helen Robinson, and Sherilyn Mortensen, authors of the best-selling book Mini Wonderful Curves, One Wonderful Curve, and Contemporary Curved Quilts
Author: Victoria Janashvili
Publisher:
ISBN: 9780692472668
Category :
Languages : en
Pages :
Get Book Here
Book Description
