Elliptic Integrals (Classic Reprint) - Hardcover

Harris Hancock

9780331848182: Elliptic Integrals (Classic Reprint)

Hardcover

ISBN 10: 033184818X ISBN 13: 9780331848182

Publisher: Forgotten Books, 2017

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Unlock the classic theory and practical tools of elliptic integrals

Understand the Legendre–Jacobi approach to elliptic integrals and learn how these powerful forms can be reduced to standard normal forms. This edition emphasizes the first and second kinds, with tables and worked examples to show practical applications.

This book connects the dots between elliptic integrals and their associated elliptic functions, highlighting how these functions reveal their doubly periodic nature. It also situates the subject in its historical context, referencing foundational figures and classic works that shaped the theory.

Clear development of reduction to normal forms for integrals involving cubic or quartic expressions under a square root
Step-by-step methods to transform and evaluate integrals using standard tables
Discussion of the associated elliptic functions and their periodic properties
Historical notes and pointers to further reading for deeper study

Ideal for readers of classic texts on elliptic functions and for those seeking a solid, computation-friendly introduction to elliptic integrals of the first and second kinds.

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