Tensor Calculus and Analytical Dynamics

1. Auflage 1998
ISBN: 978-0-8493-8514-8
Verlag: CRC Press

Buch, Englisch, 432 Seiten, Format (B × H): 160 mm x 246 mm, Gewicht: 871 g

Reihe: Engineering Mathematics

Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints.
Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as:

- tensor calculus in nonholonomic variables

- Pfaffian nonholonomic constraints

- related integrability theory of Frobenius
The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.

Autoren/Hrsg.

Papastavridis, John G

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Werkstoffprüfung

Inhaltsverzeichnis

Tensor Calculus, Introduction and Background, Tensor Algebra, Tensor Analysis, Analytical Dynamics, Introduction to Analytical Dynamics, Particle on a Curve and on a Surface, Lagrangean Mechanics: Kinematics, Lagrangean Mechanics: Kinetics

Über Autor(innen)

John G. Papastavridis