The Elementary Properties of the Elliptic Functions: With Examples (Classic Reprint) - Softcover

Fling, Fred Morrow

 
9781440066801: The Elementary Properties of the Elliptic Functions: With Examples (Classic Reprint)

Synopsis

This book expands on the definitions of elliptic functions with examples. It introduces the terms period and related modulus and delves into the addition of arguments for functions such as sn(u), cn(u), and dn(u). The functions are defined by equations involving their derivatives and referred to as the Jacobian elliptic functions. They were first defined by Niels Henrik Abel and Carl Jacobi in the 19th century. They appear in many applications, including number theory, geometry, and physics, and this book explores their properties in depth, including the Weierstrass notation and degeneration of the functions. The book provides a thorough examination of elliptic functions that will benefit both students and professionals alike.

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