Download or read book On the Conformal Representation of Plane Curves Particularly for the Cases P Primary Source Edition written by Charlotte Elvira Pengra and published by Nabu Press. This book was released on 2013-10 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Download or read book On the Conformal Representation of Plane Curves Particularly for the Cases P written by Charlotte Elvira Pengra and published by . This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Conformal Representation of Plane Curves Particularly for the Cases P written by Charlotte Elvira Pengra and published by . This book was released on 1901 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Conformal Representation of Plane Curves Particularly for the Cases P 4 5 and 6 written by Charlotte Elvira Pengra and published by Forgotten Books. This book was released on 2015-06-28 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On the Conformal Representation of Plane Curves Particularly for the Cases P = 4, 5, and 6 In order to do this we must classify surfaces according to their deficiencies and treat each class separately. In the case p=0 there are no cuts on the surface and no integrals of the first kind. Integrals of the second kind exist on all surfaces. Let us select one of these, w, which has a single algebraic infinity. The function w being of weight one assumes one and only one value corresponding to each point of the n-leaved surface F (x,y) = 0. These values, real and complex, may be represented by the points in a plane by the ordinary representation of complex numbers. The given n-leaved surface can then be conformally represented upon a plane by means of the real and complex values assumed by w. If p = 1 two cuts are required to make the surface simply connected. We know that on any surface of deficiency p, there exist p linearly independent integrals of the first kind. Here then there exists only one which we will call u. Let the periods across the cuts be w1 and w2 If u has the value uo at a given point, for all the region around containing no branch point the u will vary continuously, and since u can be nowhere infinite, and since its values may be represented by points of a plane just as any complex number is represented, these points must all be within a parallelogram whose boundaries are determined by the limits of the values of the real and imaginary parts of u as it varies over the surface, never crossing a boundary. If we seek then to represent our entire surface by means of the integral u which has an infinite number of values we get corresponding to a given point of Fn an infinite number of homologous points in similar parallelograms. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book On the Conformal Representation of Plane Curves written by Anonymous and published by Palala Press. This book was released on 2018-02-18 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book On the Conformal Representation of Plane Curves Particularly for the Cases P written by Charlotte Elvira Pengra Crathorne and published by . This book was released on 1904 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Download or read book Functions of a Complex Variable written by George F. Carrier and published by SIAM. This book was released on 2005-07-01 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes available to readers a comprehensive range of analytical techniques based upon complex variable theory.
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Download or read book The Advanced Geometry of Plane Curves and Their Applications written by C. Zwikker and published by Courier Corporation. This book was released on 2011-11-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
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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:
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