Untersuchungen Über die Stabilität der Elastischen Linie in Ebene und Raum, Unter Verschiedenen Grenzbedingungen (Classic Reprint) (German Edition) - Softcover
Synopsis
This book analyzes the stability of an elastic wire under the influence of varying boundary conditions. The author, a mathematician, demonstrates that the potential energy inherent in the wire's form, under the constraint of given boundary conditions, can be used to determine which configurations are stable equilibria. The study extends previous research that exclusively relied on the method of small oscillations to determine stability, which introduces unaddressed complexities. The author begins with a description of the problem, then develops the necessary equations in detail. Following, the author presents the solutions to several cases, including the wire fixed at both ends, fixed at one end and free at the other, and fixed at one end with a weight attached to the other, demonstrating the book's significant value to those in the field of mathematics, especially those interested in differential equations, variational calculus, and applied mathematics.
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Untersuchungen Ãber die Stabilität der Elastischen Linie in Ebene und Raum
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Paperback. Condition: New. Print on Demand. This book analyzes the stability of an elastic wire under the influence of varying boundary conditions. The author, a mathematician, demonstrates that the potential energy inherent in the wire's form, under the constraint of given boundary conditions, can be used to determine which configurations are stable equilibria. The study extends previous research that exclusively relied on the method of small oscillations to determine stability, which introduces unaddressed complexities. The author begins with a description of the problem, then develops the necessary equations in detail. Following, the author presents the solutions to several cases, including the wire fixed at both ends, fixed at one end and free at the other, and fixed at one end with a weight attached to the other, demonstrating the book's significant value to those in the field of mathematics, especially those interested in differential equations, variational calculus, and applied mathematics. 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 # 9780282278519_0
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Untersuchungen ?ber die Stabilit?t der Elastischen Linie in Ebene und Raum, Unter Verschiedenen Grenzbedingungen (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282278519
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