Lagrangian and Hamiltonian Mechanics

Late Knight Books
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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Level
Advanced
Educational Level
Adult & Further Education
ISBN
9783031552014
Category

About this product

Product Identifiers

Publisher
Springer
ISBN-10
3031552016
ISBN-13
9783031552014
eBay Product ID (ePID)
22065343269

Product Key Features

Number of Pages
Xi, 142 Pages
Language
English
Publication Name
Lagrangian and Hamiltonian Mechanics : a Modern Approach with Core Principles and Underlying Topics
Subject
Functional Analysis, Mechanics / General, General, Physics / Mathematical & Computational
Publication Year
2024
Type
Textbook
Author
José Rachid Mohallem
Subject Area
Mathematics, Science
Format
Hardcover

Dimensions

Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Dewey Edition
23
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
531
Table Of Content
Chapter 1: Fundamentals.- Chapter 2: Lagrangian mechanics with L = T - V.- Chapter 3: Hamiltonian mechanics.- Chapter 4: Lagrangian and Hamiltonian introduction of field theory.
Synopsis
This book serves as a textbook for an analytical mechanics course, a fundamental subject of physics, that pays special attention to important topics that are not discussed in most standard textbooks. Readers are provided with a clear understanding of topics that are usually inaccessible to the undergraduate level and that are critical to learning Lagrangian and Hamiltonian mechanics. Each chapter also includes worked problems and solutions, as well as additional exercises for readers to try. This book begins with the fundamentals of analytical mechanics, concisely introducing readers to the calculus of variations, Hamilton's Principle, and Lagrange's equations. While presenting readers with these core topics, the author uses an intuitive approach to delve into essential questions, such as where Galilean invariance lies in Lagrangian mechanics and how Hamilton's Principle of Least Action encompasses Newton's three laws, interesting conclusions that often go unnoticed. Infact, Hamilton's principle is taken throughout as the very origin of classical physical laws, and the choice of appropriate Lagrangians in each case as the real theoretical challenge, meaning that forms of Lagrangian which differ from the standard one are not mere curiosities but, instead, the general rule. This book clarifies common misunderstandings that students face when learning the subject and formally rationalizes concepts that are often difficult to grasp. In addition, the final chapter provides an introduction to a Lagrangian field theory for those interested in learning more advanced topics. Ideal for upper undergraduate and graduate students, this book seeks to teach the intrinsic meaning of the principles and equations taught in an analytical mechanics course and convey their usefulness as powerful theoretical instruments of modern physics.
LC Classification Number
QC120-168.85

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