| 书目名称 | Linear Algebra and Analytic Geometry for Physical Sciences | | 编辑 | Giovanni Landi,Alessandro Zampini | | 视频video | | | 概述 | In-depth, self-contained textbook for students in physical sciences.With more than 200 examples and solved exercises.The mathematical formalism is motivated and introduced by problems from physics | | 丛书名称 | Undergraduate Lecture Notes in Physics | | 图书封面 |  | | 描述 | 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 subj | | 出版日期 | Textbook 2018 | | 关键词 | Euclidean vector spaces; Diagonalisation of matrices; linear algebra textbook; analytic geometry textbo | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-78361-1 | | isbn_softcover | 978-3-319-78360-4 | | isbn_ebook | 978-3-319-78361-1Series ISSN 2192-4791 Series E-ISSN 2192-4805 | | issn_series | 2192-4791 | | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
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发表于 2025-3-21 16:06:54
