Linear Algebra And Analytic Geometry For Physical Sciences paperback english - 5th Jun 2018
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| Publisher | Springer International Publishing AG |
| ISBN 13 | 9783319783604 |
| ISBN 10 | 3319783602 |
| Book Description | 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 |
| Editorial Review | There are over 230 exercises integrated into the text, most with several parts and explained in detail. These exercises also serve as examples. The book contains about 20 figures and several additional examples. This text will interest both beginning and advanced undergraduates studying physics. ... Summing Up: Recommended. Undergraduates through faculty and professionals. |
| About the Author | Giovanni Landi is Professor of Mathematical Physics at the University of Trieste. He is a leading expert of noncummutative geometry, and board member of several journals in the field. He has also written the monograph |
| Language | English |
| Author | Giovanni Landi, Alessandro Zampini |
| Publication Date | 5th Jun 2018 |
| Number of Pages | 345 |
Linear Algebra And Analytic Geometry For Physical Sciences paperback english - 5th Jun 2018
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