Synopsis
Explore the foundations and applications of the calculus of variations in a clear, approachable way.
This classic introduction explains how to find the best shapes and paths that optimize quantities like length, time, and area. It builds from simple problems to general methods used in physics and geometry.
The book starts with the origin and core ideas, then moves through key techniques such as deriving the fundamental equations, using Lagrange’s method, and applying Hamilton’s principle. It includes concrete problems like the shortest line, curves of quickest descent, and surfaces of least area, along with extensions to multiple dependent variables and changing limits. The explanations emphasize intuition and practical steps, making the subject accessible to readers new to the topic.What you’ll experience
- A guided progression from basic ideas to general extremum problems
- Step-by-step derivations of core equations and principles
- Worked examples that illustrate how the theory applies to geometry and physics
- Extensions to problems with several dependent variables and variable endpoints
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Introduction to the Calculus of Variations (Classic Reprint)
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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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Introduction to the Calculus of Variations Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330363652
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Introduction to the Calculus of Variations 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 # LW-9781330363652
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