Notes on the Ellipsoidal Function

Chang-Hong Liang

nën 2016 · Springer

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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 conformal mapping (geometry) theory of the ellipsoid function, demonstrating the outstanding performance of the ellipsoid function response filter. Applications of the ellipsoidal function include the capacitance of ellipsoidal conductors and the surface area of ellipsoids, which in turn correspond to ellipsoidal integrals of the first kind and the second kind, respectively. The book offers a valuable reference guide for undergraduates, graduate students and researchers in the related fields.

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Prof. Chang-Hong Liang was born in Shanghai in December 1943. He is currently a professor, doctoral supervisor of Xidian University and senior member of IEEE. He graduated from the Department of Physics of People's Liberation Army Institute of Telecommunication Engineering (the current Xidian University) in 1965, and took a teaching post there after receiving a master's degree from the college in July 1967. He was invited to serve as a visiting scholar by Syracuse University from 1980 to 1982, and was appointed as the President of Xidian University from 1992 to 2002. Prof. Liang has long been engaged in the study of microwaves and electromagnetism, and has made substantial achievements, particularly in computational microwave, nonlinear electromagnetism and microwave network theories. Moreover, he has won a dozen provincial and ministerial scientific and technological awards as well as teaching awards, and has published a dozen monographs and translations. Being meticulous in scholarship and a model of virtue for his students, he continued to teach basic courses even after he became the president of the university. His lectures were vivid but readily understandable. In 2003, he received the first "State-level Famous Teacher" prize awarded by the Ministry of Education of China, and his lecture "Fundamentals of Microwave Technology" was evaluated as one of the first "State-level Excellent Courses" in the same year.