Linear Algebra and Analytic Geometry for Physical Sciences

Giovanni Landi, Alessandro Zampini

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English

Springer International Publishing AG
22 May 2018

Algebra; Analytic geometry; Maths for scientists

Series: Undergraduate Lecture Notes in Physics

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.

By: Giovanni Landi, Alessandro Zampini
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2018 ed.
Dimensions: Height: 235mm, Width: 155mm,
Weight: 5.445kg
ISBN: 9783319783604
ISBN 10: 3319783602
Series: Undergraduate Lecture Notes in Physics
Pages: 345
Publication Date: 22 May 2018
Audience: College/higher education , Further / Higher Education
Format: Paperback
Publisher's Status: Active

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 ""An Introduction to Noncommutative Spaces and their Geometries"" published by Springer (1997). Alessandro Zampini works at the University of Luxemburg, where he gives a course on linear algebra and analytic geometry.

Reviews for Linear Algebra and Analytic Geometry for Physical Sciences

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. (D. P. Turner, Choice, Vol. 56 (04), December, 2018)