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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Mechanik & Akustik Lagrangian and Hamiltonian Mechanics
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Lagrangian and Hamiltonian Mechanics
José Rachid Mohallem (Gebundene Ausgabe, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
16.05.2024
Sprache
Englisch
EAN
9783031552014
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
José Rachid Mohallem
Seitenanzahl
142
Auflage
1
Einbandart
Gebundene Ausgabe
Buch Untertitel
A Modern Approach with Core Principles and Underlying Topics
Schlagwörter
Newton's Laws in Lagrangian Mechanics, Galilean Invariance, Lagrange Equations from D'Alembert's Principle, Adiabatic Invariants, Equivalent Lagrangians, Noether's Theorem, Hamilton-Jacobi Theory, Hamilton's Principle of Least Action, Poisson Brackets, Rigid Body Motion
Thema-Inhalt
PHD - Klassische Mechanik
PHU - Mathematische Physik
PBKF - Funktionalanalysis und Abwandlungen
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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