Synopsis
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
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Elliptic Integrals (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of elliptic integrals, a branch of mathematics that expands upon the familiar concepts of calculus. While calculus focuses on integrating expressions involving quadratic functions under a square root, elliptic integrals delve into the more complex realm of cubics and quartics. The author masterfully guides readers through the intricate process of transforming these integrals into standard normal forms, revealing how seemingly complex problems can be reduced to manageable, calculable expressions. The book explores the historical evolution of elliptic integrals, tracing their origins back to the pioneering works of mathematicians like Fagnano, Maclaurin, and dââ â¢Alembert. It highlights the groundbreaking contributions of Euler in discovering the addition theorem for elliptic integrals, a discovery that profoundly shaped the understanding of these functions. The author's deep engagement with the subject is evident in the detailed explanations and the thorough examination of various transformations and substitutions, culminating in a comprehensive discussion of the numerical computation of these integrals. This book is a valuable resource for students and researchers seeking to understand the theoretical foundations and practical applications of elliptic integrals within the broader landscape of mathematical analysis. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333065096_0
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Elliptic Integrals Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333065096
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Elliptic Integrals Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333065096
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