A Second Semester of Linear Algebra
by S. E. Payne
Publisher: University of Colorado Denver 2009
Number of pages: 236
This book is intended to be used as a text for a second semester of linear algebra either at the senior or first-year-graduate level. It is written for you under the assumption that you already have successfully completed a first course in linear algebra and a first course in abstract algebra.
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by Simon J.A. Malham - Heriot-Watt University
From the table of contents: Linear second order ODEs; Homogeneous linear ODEs; Non-homogeneous linear ODEs; Laplace transforms; Linear algebraic equations; Matrix Equations; Linear algebraic eigenvalue problems; Systems of differential equations.
by Zico Kolter - Stanford University
From the tabble of contents: Basic Concepts and Notation; Matrix Multiplication; Operations and Properties; Matrix Calculus (Gradients and Hessians of Quadratic and Linear Functions, Least Squares, Eigenvalues as Optimization, etc.).
by W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral - InfoLearnQuest
Set linear algebras, introduced by the authors in this book, are the most generalized form of linear algebras. These structures make use of very few algebraic operations and are easily accessible to non-mathematicians as well.
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An introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the elementary vector and matrix calculations. The author makes extensive use of the exterior product of vectors.