New Foundations for Classical Mechanics

• Main Author: Hestenes, David (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2002.
• Edition: Second Edition.
• Series: Fundamental Theories of Physics ; 99
• Subjects: Physics.; Algebraic geometry.; System theory.; Mechanics.; Observations, Astronomical.; Astronomy > Observations.; Astronomy, Observations and Techniques.; Algebraic Geometry.; Systems Theory, Control.

(revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American...

Table of Contents:

• Origins of Geometric Algebra
• Developments in Geometric Algebra
• Mechanics of a Single Particle
• Central Forces and Two-Particle Systems
• Operators and Transformations
• Many-Particle Systems
• Rigid Body Mechanics
• Celestical Mechanics
• Relativistic Mechanics.