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Concerning a Compound Discontinuous Solution in the Problem of the Surface of Revolution of Minimum Area (Classic Reprint) - Softcover
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Excerpt from Concerning a Compound Discontinuous Solution in the Problem of the Surface of Revolution of Minimum Area
Let Mo(t to, a: ao, y bo) and M1(t t1, a. A y bl) be two non conjugate points on any extremal. Then it is always possible to construct through the points Po(a: x0, y yo) and P1(:c at], y in the neighbor hood of IV, and Jill respectively, a unique extremal, over which the integral is a single-valued, continuous function of the coordinates of P0 and P1.
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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.
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- PublisherForgotten Books
- Publication date2024
- ISBN 10 1333108400
- ISBN 13 9781333108403
- BindingPaperback
- LanguageEnglish
- Number of pages31
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Concerning a Compound Discontinuous Solution in the Problem of the Surface of
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Paperback. Condition: New. Print on Demand. This book offers a breakthrough for a classical problem in mathematics, in which the goal is to find the minimal surface created by a wireframe when dipped in a soap solution and pulled apart. In this context, "minimal" means the surface with the smallest possible area. After an initial proposal in 1880, the problem was considered solved. However, the author discovered errors in the historical solution and proposes an alternative here. The new solution involves catenaries (curves formed by a hanging chain) and a straight line, with the key idea being to identify critical and conjugate points on the catenaries that determine the minimal surface. Complete with experiments verifying the theoretical findings, this book will appeal to those interested in variational calculus and differential geometry, showcasing an unexpected and intriguing application in the world of soap films. 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 # 9781333108403_0
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Concerning a Compound Discontinuous Solution in the Problem of the Surface of Revolution of Minimum Area Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781333108403
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Concerning a Compound Discontinuous Solution in the Problem of the Surface of Revolution of Minimum Area Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781333108403
Quantity: 15 available