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World Scientific Publishing Company World Scientific An Introduction To Lagrangian Mechanics 2nd Ed

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Description

Master the fundamentals of classical mechanics with An Introduction to Lagrangian Mechanics, Second Edition. Published by World Scientific Publishing Company, this textbook provides a deep historical perspective on the Lagrangian method. It begins with Fermat's Principle of Least Time to introduce the Calculus of Variations, building a solid foundation for understanding advanced physics. Readers will explore the principles of Maupertuis, Jacobi, and d'Alembert that led to Hamilton's formulation of the Principle of Least Action. This text guides students through the derivation of the Euler-Lagrange equations of motion, making complex concepts more accessible. Unlike standard undergraduate texts, this edition covers specialized topics such as the treatment of constraint forces and Routh's procedure for Lagrangian systems with symmetries. This book is an essential resource for students and researchers studying chaos and dynamic systems. It bridges the gap between historical theory and modern application, ensuring a comprehensive understanding of the mathematical frameworks used in physics today.

Key Features

Comprehensive historical context starting with Fermat's Principle of Least Time and the Calculus of Variations.

Detailed exploration of the principles of Maupertuis, Jacobi, and d'Alembert.

In-depth coverage of Hamilton's formulation of the Principle of Least Action and Euler-Lagrange equations.

Specialized instruction on the treatment of constraint forces within Lagrangian Mechanics.

Advanced content including Routh's procedure for Lagrangian systems with symmetries.

Expanded topics not typically found in standard undergraduate physics textbooks.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
28 November 2014
Listed Since
15 October 2014

Barcode

No barcode data available

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