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Lagrangian and Hamiltonian mechanics = a modern approach with core principles and underlying topics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lagrangian and Hamiltonian mechanics/ by Jose Rachid Mohallem.
Reminder of title:	a modern approach with core principles and underlying topics /
Author:	Mohallem, Jose Rachid.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xi, 142 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Chapter 1: Fundamentals -- Chapter 2: Lagrangian mechanics with L = T - V -- Chapter 3: Hamiltonian mechanics -- Chapter 4: Lagrangian and Hamiltonian introduction of field theory.
Contained By:	Springer Nature eBook
Subject:	Mechanics, Analytic. -
Online resource:	https://doi.org/10.1007/978-3-031-55202-1
ISBN:	9783031552021

Lagrangian and Hamiltonian mechanics = a modern approach with core principles and underlying topics /
Mohallem, Jose Rachid.

Lagrangian and Hamiltonian mechanicsa modern approach with core principles and underlying topics /[electronic resource] :by Jose Rachid Mohallem. - Cham :Springer Nature Switzerland :2024. - xi, 142 p. :ill. (some col.), digital ;24 cm.

Chapter 1: Fundamentals -- Chapter 2: Lagrangian mechanics with L = T - V -- Chapter 3: Hamiltonian mechanics -- Chapter 4: Lagrangian and Hamiltonian introduction of field theory.

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. In fact, 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.

ISBN: 9783031552021

Standard No.: 10.1007/978-3-031-55202-1doiSubjects--Topical Terms:

516850
Mechanics, Analytic.

LC Class. No.: QA805

Dewey Class. No.: 531.01515

Lagrangian and Hamiltonian mechanics = a modern approach with core principles and underlying topics /
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505 0 $a Chapter 1: Fundamentals -- Chapter 2: Lagrangian mechanics with L = T - V -- Chapter 3: Hamiltonian mechanics -- Chapter 4: Lagrangian and Hamiltonian introduction of field theory.
520 $a 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. In fact, 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.
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