Elliptische Functionen (Classic Reprint)
Language: German
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 14.59
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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.…
Seller Inventory # 9780484957045_0
- Title
- Elliptische Functionen (Classic Reprint)
- Author
- Bernhard Riemann
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- German
- ISBN 10
- 048495704X
- ISBN 13
- 9780484957045
- Seller catalogs
- Books in German
Dieses Werk präsentiert Bernhard Riemanns Vorlesungen zu elliptischen Funktionen in einer lesbaren Ausgabe mit erläuternden Ergänzungen. Die Inhalte verbinden geometrische Ansätze mit analytischen Methoden und zeigen, wie die elliptischen Funktionen und ihre Integrale entstehen, sich verhalten und angewendet werden können. Die Ergänzungen helfen Lesern, die zentrale Idee der Theorie Schritt für Schritt nachzuvollziehen.
- Erschließt die Grundlagen der elliptischen Funktionen und das zugehörige Integral erster, zweiter und dritter Gattung.
- Verbindet Jacobi- und Weierstrass-Funktionen mit praktischen Darstellungsmethoden über Thetafunktionen.
- Bietet klar gekennzeichnete Zusatzabschnitte, die das Verständnis ohne Vorwissen aus der Abel’schen Theorie erleichtern.
- Enthält verständliche Formeln, Beispiele und Bezüge zu Periodizität und Verzweigungen.
Ideal für Leserinnen und Leser, die sich eine sorgfältig kommentierte Einführung in die elliptischen Funktionen wünschen und dabei historische Entwicklung sowie methodische Ansätze nachvollziehen möchten.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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Forgotten Books publishes hundreds of thousands of rare and classic books.
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed before purchase if you request a sample.
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