Explorations in Mathematical Physics The Concepts Behind an Elegant Language /

• Main Author: Koks, Don (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Subjects: Physics.; Quantum physics.; Theoretical, Mathematical and Computational Physics.; Mathematical Methods in Physics.; Physics, general.; Quantum Physics.

Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tou...

Table of Contents:

• The Language of Physics
• A Trip Down Linear Lane
• The Natural Language of Random Processes
• A Roundabout Route to Geometric Algebra
• Special Relativity and the Lorentz Transform
• Four-Vectors and the Road to Tensors
• Accelerated Frames: Onward to the Principle of Covariance
• The Elegance and Power of Tensor Notation
• Curvature and Differential Geometry
• Variational Calculus and Field Theory
• The Green Function Approach to Solving Field Equations
• Airliners, Black Holes, and Cosmology: The ABC of General Relativity.