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Titlebook: Linear Algebra and Analytic Geometry for Physical Sciences; Giovanni Landi,Alessandro Zampini Textbook 2018 Springer International Publish

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書目名稱Linear Algebra and Analytic Geometry for Physical Sciences
編輯Giovanni Landi,Alessandro Zampini
視頻videohttp://file.papertrans.cn/587/586266/586266.mp4
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
叢書名稱Undergraduate Lecture Notes in Physics
圖書封面Titlebook: Linear Algebra and Analytic Geometry for Physical Sciences;  Giovanni Landi,Alessandro Zampini Textbook 2018 Springer International Publish
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
關(guān)鍵詞Euclidean vector spaces; Diagonalisation of matrices; linear algebra textbook; analytic geometry textbo
版次1
doihttps://doi.org/10.1007/978-3-319-78361-1
isbn_softcover978-3-319-78360-4
isbn_ebook978-3-319-78361-1Series ISSN 2192-4791 Series E-ISSN 2192-4805
issn_series 2192-4791
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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978-3-319-78360-4Springer International Publishing AG, part of Springer Nature 2018
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Linear Algebra and Analytic Geometry for Physical Sciences978-3-319-78361-1Series ISSN 2192-4791 Series E-ISSN 2192-4805
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Linear Transformations,Together with the theory of linear equations and matrices, the notion of linear transformations is crucial in both classical and quantum physics. In this chapter we introduce them and study their main properties.
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