Linear Algebra and Analytic Geometry for Physical Sciences

Linear Algebra and Analytic Geometry for Physical Sciences by Giovanni Landi, Alessandro Zampini.

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 physic...

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Bibliographic Details
Main Authors: Landi, Giovanni (Author), Zampini, Alessandro (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:Undergraduate Lecture Notes in Physics,
Springer eBook Collection.
Subjects:
Physics.
Matrix theory.
Algebra.
Applied mathematics.
Engineering mathematics.
Geometry.
Computer science—Mathematics.
Mathematical physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Introduction
  • Vectors and coordinate systems
  • Vector spaces
  • Euclidean vector spaces
  • Matrices
  • The determinant
  • Systems of linear equations
  • Linear transformations
  • Dual spaces
  • Endomorphisms and diagonalization
  • Spectral theorems on euclidean spaces
  • Rotations
  • Spectral theorems on hermitian spaces
  • Quadratic forms
  • Affine linear geometry
  • Euclidean affine linear geometry
  • Conic sections
  • A Algebraic Structures
  • A.1 A few notions of Set Theory
  • A.2 Groups
  • A.3 Rings and Fields
  • A.4 Maps between algebraic structures
  • A5 Complex numbers
  • A.6 Integers modulo a prime number.

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