Linear Algebra and Analytic Geometry for Physical SciencesКНИГИ » НАУКА И УЧЕБА
Название: Linear Algebra and Analytic Geometry for Physical Sciences Автор: Giovanni Landi, Alessandro Zampini Издательство: Springer Год: 2018 ISBN: 3319783602; 9783319783604 Серия: Undergraduate Lecture Notes in Physics Формат: pdf Страниц: 345 Размер: 10,4 mb Язык: English
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.
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Linear Algebra and Analytic Geometry for Physical Sciences 
