This
book covers the following topics:
Ring Theory Background, Primary Decomposition and Associated
Primes, Integral Extensions, Valuation Rings, Completion, Dimension Theory,
Depth, Homological Methods and Regular Local Rings.
Author(s): Robert
B. Ash, Professor Emeritus, Mathematics
The contents of this book include: Systems of Equations,
Matrices, Determinants, Linear Transformations, Complex Numbers, Spectral
Theory, Some Curvilinear Coordinate Systems, Vector Spaces.
This
note explains the following topics: Eigenvalues and Eigenvectors, The
spectral theorem, Tensor Products, Fourier Analysis and Quadrtic Reciprocity.
This textbook is suitable for a
sophomore level linear algebra course taught in about twenty-five lectures. It
is designed both for engineering and science majors, but has enough abstraction
to be useful for potential math majors. Our goal in writing it was to produce
students who can perform computations with linear systems and also understand
the concepts behind these computations.
Author(s): David Cherney,
Tom Denton, Rohit Thomas and Andrew Waldron
This note explains
the following topics: Vector spaces, The field of complex numbers, Linear maps,
Subspaces, Matrices, Linear independence and dimension, Ranks, Linear maps and
matrices, Determinants, Eigenvalues and Eigenvectors.
This
book explains the following topics related to Differential Equations and Linear
Algebra: Linear second order ODEs, Homogeneous linear ODEs, Non-homogeneous
linear ODEs, Laplace transforms, Linear algebraic equations, Linear algebraic
eigenvalue problems and Systems of differential equations.
This
book covers the following topics: Brief introduction to Logic and Sets, Brief introduction to Proofs, Basic Linear
Algebra, Eigenvalues and Eigenvectors, Vector Spaces.