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.
General
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