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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.
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.
Dr. José R. Mohallem has served as a professor of physics at the Federal University of Minas Gerais in Belo Horizonte, Brazil since 1981. He has decades of experience teaching classical and quantum mechanics and has research expertise in atomic and molecular physics. Since 1988, he has been a research fellow for the Conselho Nacional de Pesquisas Científicas e Tecnológicas (CNPq). Previously, he has also served as an invited senior researcher at Queen's University (Belfast, UK), visiting professor at the University of Reims Champagne-Ardenne (Reims, France), and a director of research at the French National Center for Scientific Research (Paris, France).
Chapter 1: Fundamentals.- Chapter 2: Lagrangian mechanics with L = T - V.- Chapter 3: Hamiltonian mechanics.- Chapter 4: Lagrangian and Hamiltonian introduction of field theory.
| Erscheinungsjahr: | 2025 |
|---|---|
| Fachbereich: | Mechanik & Akustik |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Physik, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xi
142 S. 21 s/w Illustr. 2 farbige Illustr. 142 p. 23 illus. 2 illus. in color. |
| ISBN-13: | 9783031552045 |
| ISBN-10: | 3031552040 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Mohallem, José Rachid |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 9 mm |
| Von/Mit: | José Rachid Mohallem |
| Erscheinungsdatum: | 17.05.2025 |
| Gewicht: | 0,248 kg |
Dr. José R. Mohallem has served as a professor of physics at the Federal University of Minas Gerais in Belo Horizonte, Brazil since 1981. He has decades of experience teaching classical and quantum mechanics and has research expertise in atomic and molecular physics. Since 1988, he has been a research fellow for the Conselho Nacional de Pesquisas Científicas e Tecnológicas (CNPq). Previously, he has also served as an invited senior researcher at Queen's University (Belfast, UK), visiting professor at the University of Reims Champagne-Ardenne (Reims, France), and a director of research at the French National Center for Scientific Research (Paris, France).
Chapter 1: Fundamentals.- Chapter 2: Lagrangian mechanics with L = T - V.- Chapter 3: Hamiltonian mechanics.- Chapter 4: Lagrangian and Hamiltonian introduction of field theory.
| Erscheinungsjahr: | 2025 |
|---|---|
| Fachbereich: | Mechanik & Akustik |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Physik, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xi
142 S. 21 s/w Illustr. 2 farbige Illustr. 142 p. 23 illus. 2 illus. in color. |
| ISBN-13: | 9783031552045 |
| ISBN-10: | 3031552040 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Mohallem, José Rachid |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 9 mm |
| Von/Mit: | José Rachid Mohallem |
| Erscheinungsdatum: | 17.05.2025 |
| Gewicht: | 0,248 kg |
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