Classical Mechanics Theory and Mathematical Modeling /

• Main Author: DiBenedetto, Emmanuele (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011.
• Series: Cornerstones
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Applied mathematics.; Engineering mathematics.; Geometry.; Physics.; Mechanics.; Mechanics, Applied.; Applications of Mathematics.; Mathematical Methods in Physics.; Dynamical Systems and Ergodic Theory.; Theoretical and Applied Mechanics.

Classical mechanics is a chief example of the scientific method organizing a "complex" collection of information into theoretically rigorous, unifying principles; in this sense, mechanics represents one of the highest forms of mathematical modeling. This textbook covers standard topics of...

Table of Contents:

• 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.