Excerpt from Introduction to the Calculus of Variations
In our new problems, to speak in geometrical language, we have to find the form of a curve for which our integral, I, is greater or less than for any neighboring curve having the same end-points.
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating field of Calculus of Variations, a branch of mathematics that explores the art of finding functions that maximize or minimize specific integrals. Initially developed to solve problems in classical mechanics, this mathematical tool has since found widespread applications across diverse fields, including engineering, physics, and economics. The author's exploration of this subject unveils the profound connections between seemingly disparate areas of mathematics and science. Through the lens of Calculus of Variations, readers gain a deeper understanding of complex phenomena like the shape of a soap bubble, the path of a falling object, and even the behavior of light. This book not only provides a comprehensive overview of Calculus of Variations but also presents solutions to classic problems, such as the brachistochrone problem that seeks to determine the fastest path between two points. By examining the interplay between functions and integrals, the author uncovers the elegance and power of mathematical principles that govern the world around us. 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 # 9781330363652_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330363652
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330363652
Quantity: 15 available