Journal F�r Die Reine Und Angewandte Mathematik, 1857, Vol. 53: In Vier Heftes (Classic Reprint) - Couverture souple

August Leopold Crelle

9780282697648: Journal F�r Die Reine Und Angewandte Mathematik, 1857, Vol. 53: In Vier Heftes (Classic Reprint)

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ISBN 10 : 0282697640 ISBN 13 : 9780282697648

Editeur : Forgotten Books, 2018

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The digital edition of all books may be viewed on our website before purchase. Excerpt from Journal f�r die Reine und Angewandte Mathematik, 1857, Vol. 53: In Vier Heftes (Classic Reprint)

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�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 0282697640
ISBN 13: 9780282697648
Reliure: Broch�
Nombre de pages: 391
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Journal für die Reine und Angewandte Mathematik, 1857, Vol. 53: In Vier Heftes

August Leopold Crelle, C. W. Bernhardt

Edit� par Forgotten Books, 2024

ISBN 10 : 0282697640 ISBN 13 : 9780282697648

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book presents a new way of understanding how periodic continued fractions correspond with square roots of non-quadratic whole numbers, based on the author's examination of the work of Carl Jacobi. Jacobi's approach to solving these equations was to convert the continued fraction into a special type of series, then use this series to derive two new equations. The author shows how this series can be applied to an infinite number of additional equations, using only a single continued fraction. The author also shares an alternative method of deriving equations corresponding to square roots, using properties of the continued fraction itself. The book explores several instances of this concept, including when there is no middle term, and when there is. It also touches on the significance of prime numbers in this context and shares how each of these formulas for continued fractions can be reduced to a single equation by using a previously established formula. 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. N� de r�f. du vendeur 9780282697648_0

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