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Sinopsis
This book provides a detailed treatment of elliptic functions, a subject at the foundation of many fields of mathematics, physics, and engineering. The author begins with a detailed development of doubly periodic functions, addressing important properties such as the order and residues of such functions. Using these properties, the author develops a differential equation for second-order doubly periodic functions and shows that the solution to this equation can be expressed in terms of an integral. These ideas are then used to introduce the Jacobian normal form for elliptic integrals and the elliptic functions sn(u), cn(u), and dn(u). The text further develops the addition theorem for these functions and explores their transformation properties. Replete with illustrative figures, this book is a valuable resource for anyone working in the fields of mathematics, theoretical physics, or engineering that rely on elliptic functions.
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Excerpt from Elliptische Functionen
Ist nun ein Punkt im ersten Parallelogramm P, so enthalt jedes weitere Parallelogramm einen congruent liegenden Punkt. Der geometrische Sinn der Gleichung (2) ist der, dass in allen diesen Punkten denselben Werth hat. Die Function q;(o) ist folglich in allen Punkten der o-ebene bekannt, wenn man ihren Werth in allen Punkten eines, etwa des ersten Parallelogramms P kennt. Es genügt daher, die Function q> (12) auf ihr Verhalten in P zu unter suchen. Hierzu sei folgender Hilfssatz vorausgeschickt.
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Elliptische Functionen (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
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Paperback. Condición: New. Print on Demand. This book provides a detailed treatment of elliptic functions, a subject at the foundation of many fields of mathematics, physics, and engineering. The author begins with a detailed development of doubly periodic functions, addressing important properties such as the order and residues of such functions. Using these properties, the author develops a differential equation for second-order doubly periodic functions and shows that the solution to this equation can be expressed in terms of an integral. These ideas are then used to introduce the Jacobian normal form for elliptic integrals and the elliptic functions sn(u), cn(u), and dn(u). The text further develops the addition theorem for these functions and explores their transformation properties. Replete with illustrative figures, this book is a valuable resource for anyone working in the fields of mathematics, theoretical physics, or engineering that rely on elliptic functions. 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. Nº de ref. del artículo: 9780484957045_0
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Elliptische Functionen (Classic Reprint)
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9780484957045
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Elliptische Functionen (Classic Reprint)
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9780484957045
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