Undergraduate Lecture Notes in Physics

Linear Algebra and Analytic Geometry for Physical Sciences

Authors: Landi, Giovanni, Zampini, Alessandro

  • 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
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eBook 41,64 €
price for Spain (gross)
  • Due: June 5, 2018
  • ISBN 978-3-319-78361-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-78360-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

About the authors

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.

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Table of contents (16 chapters)

Buy this book

eBook 41,64 €
price for Spain (gross)
  • Due: June 5, 2018
  • ISBN 978-3-319-78361-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-78360-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Linear Algebra and Analytic Geometry for Physical Sciences
Authors
Series Title
Undergraduate Lecture Notes in Physics
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-78361-1
DOI
10.1007/978-3-319-78361-1
Softcover ISBN
978-3-319-78360-4
Series ISSN
2192-4791
Edition Number
1
Number of Pages
XII, 345
Topics