EAN: 9783319783604

UNDERGRADUATE LECTURE NOTES IN PHYSICS LINEAR...

A self-contained introduction to finite dimensional vector spaces  matrices  systems of linear
equations  spectral analysis on euclidean and hermitian spaces  affine euclidean geometry 
quadratic forms and conic sections. The mathematical formalism is motivated and introduced by
problems from physics  notably mechanics (including celestial) and electro-magnetism  with more
than two hundreds examples and solved exercises. Topics include: The group of orthogonal
transformations on euclidean spaces  in particular rotations  with Euler angles and angular
velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and
exponential map. The Dirac's bra-ket formalism. Spectral theory for self-adjoint endomorphisms
on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the
Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An
appendix collects basic algebraic notions like group  ring and field  and complex numbers and
integers modulo a prime number. The book will be useful to students taking a physics or
engineer degree for a basic education as well as for students who wish to be competent in the
subject and who may want to pursue a post-graduate qualification.

Aktuelle Preise zur EAN 9783319783604

Produktinformationen zur 9783319783604