Synopsis
This book presents the application and use of elliptic functions in applied mathematics, extending beyond the applications to the cycloidal pendulum that are typically found in textbooks and treating many other problems in dynamics. The book first introduces the concept of elliptic functions to provide context, then proceeds to explain how to reduce elliptic integrals to their standard forms, allowing them to be solved. The author then examines the motion of a simple equivalent pendulum and uses it to define elliptic functions. These are then applied to a number of areas including the determination of the period of a pendulum, rectilinear oscillations, and the solution of Euler’s equations of motion, providing valuable insights into a variety of mathematical and physical problems.
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The Applications of Elliptic Functions (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book presents the application and use of elliptic functions in applied mathematics, extending beyond the applications to the cycloidal pendulum that are typically found in textbooks and treating many other problems in dynamics. The book first introduces the concept of elliptic functions to provide context, then proceeds to explain how to reduce elliptic integrals to their standard forms, allowing them to be solved. The author then examines the motion of a simple equivalent pendulum and uses it to define elliptic functions. These are then applied to a number of areas including the determination of the period of a pendulum, rectilinear oscillations, and the solution of Eulerâs equations of motion, providing valuable insights into a variety of mathematical and physical problems. 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 # 9781330337035_0
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