Notes on the Ellipsoidal Function
This book focuses on the ellipsoidal function, which serves as an evolution and extension of the circular function (trigonometric function) and elliptic function. It presents an in-depth discussion of the ellipsoidal function (algebra) theory and the conf
- PDF / 2,332,623 Bytes
- 105 Pages / 453.543 x 683.15 pts Page_size
- 93 Downloads / 208 Views
Notes on the Ellipsoidal Function
Notes on the Ellipsoidal Function
Chang-Hong Liang
Notes on the Ellipsoidal Function
123
Chang-Hong Liang School of Electronic Engineering Xidian University Xi’an, Shaanxi China
The book has been published in Chinese language by Science Press, Beijing, in Oct. 2014. ISBN 978-7-03-042160-9 Science Press has agreed to publish the English version and the cooperation details will be discussed. ISBN 978-981-10-2907-3 DOI 10.1007/978-981-10-2908-0
ISBN 978-981-10-2908-0
(eBook)
Jointly published with Science Press, Beijing Library of Congress Control Number: 2016956467 © Science Press, Beijing and Springer Nature Singapore Pte Ltd. 2017 This work is subject to copyright. All rights are reserved by the Publishers, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publishers, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publishers nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #22-06/08 Gateway East, Singapore 189721, Singapore
Foreword
The circle, ellipse, sphere, and ellipsoid are the geometric forms we frequently encounter, and in scientific research or engineering technology we must often deal with many problems related to such forms. For example, the earth, due to its complicated shape, is replaced by the relatively simpler “reference ellipsoid” in geodesy to carry out various calculations, demarcate the coordinates of longitude and latitude, and mark elevations on its surface. A famous classical problem in electromagnetics is the calculation of the electric field and magnetic field caused by a point charge moving at a constant speed. Heaviside derived relevant equations as early as 1888, and subsequently others conducted similar calculations under different assumptions or through different approaches. Despite their different methods, they had a common conclusion that the electric field was contracted or deformed along the direction of motion into an ellipsoid, which was then called a Heaviside ellipsoid. In discussing the problems of e
Data Loading...
