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Foundations of Elliptic Functions: Definitions, key properties, and worked examples for sn, cn, dn and applications master the essentials of elliptic functions with clear definitions, concrete properties, and practical worked examples.
This non-fiction reference introduces how elliptic functions can be defined through their differential properties, then guides you through the core operations, from addition and multiplication to integration and differentiation. It also surveys related moduli and the role of periods, and includes graphical representations and historical notes to place the subject in context.
- Definitions and relationships of the elliptic functions sn, cn, and dn, with helpful notation.
- Foundations of periods, moduli, and their impact on function values.
- Worked examples and exercises that illuminate key techniques.
- Applications in geometry and calculus, plus graphical and historical context.
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The Elementary Properties of the Elliptic Functions: With Examples
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Paperback. Zustand: New. Print on Demand. 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. 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. Bestandsnummer des Verkäufers 9781440066801_0
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The Elementary Properties of the Elliptic Functions With Examples Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781440066801
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The Elementary Properties of the Elliptic Functions With Examples Classic Reprint
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The Elementary Properties of the Elliptic Functions: With Examples (Classic Reprint)
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Paperback. Zustand: Brand New. 152 pages. 9.00x6.00x0.35 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk1440066809
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