Linear Algebra and Analytic Geometry for Physical Sciences is popular PDF and ePub book, written by Giovanni Landi in 2018-05-12, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Linear Algebra and Analytic Geometry for Physical Sciences can be Read Online from any device for your convenience.
Linear Algebra and Analytic Geometry for Physical Sciences Book PDF Summary
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.
Detail Book of Linear Algebra and Analytic Geometry for Physical Sciences PDF
- Author : Giovanni Landi
- Release : 12 May 2018
- Publisher : Springer
- ISBN : 9783319783611
- Genre : Science
- Total Page : 348 pages
- Language : English
- PDF File Size : 18,8 Mb
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