Classical Mechanics

Theory and Mathematical Modeling
2011. Auflage 2010
ISBN: 978-0-8176-4526-7
Verlag: Birkhauser Boston

Buch, Englisch, 351 Seiten, Format (B × H): 167 mm x 245 mm, Gewicht: 1540 g

Reihe: Cornerstones

Classical mechanics is one of those special intersections in science where interdisciplinary contributions come together to provide an elegant and penetrating example of "modeling". Following Lagrangrian principles, the author employs mathematics not only as a "unifying" language, but also to exemplify its role as a catalyst for new concepts and discoveries, such as the d'Alembert principle, complex systems dynamics, and Hamiltonian mechanics. Today, these same dynamics are being focused to address other interdisciplinary areas of research in fields such as biology and chemistry. Offering a rigorous mathematical treatment of the subject and requiring of the reader only a solid background in introductory physics, multivariable calculus, and linear algebra, Classical Mechanics can serve as a text for advanced undergraduates and graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellent reference for applied mathematicians and mathematical physicists.

Zielgruppe

Graduate

Autoren/Hrsg.

Dibenedetto, Emmanuele

Fachgebiete

• Naturwissenschaften Physik Mechanik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Preface.- Geometry of Motion.- Constraints and Lagrangian Coordinates.- Dynamics of a Point Mass.- Geometry of Masses.- Systems Dynamics.- The Lagrange Equations.- Precessions.- Variational Principles.- Bibliography.- Index.