The Theory of Determinants and Their Applications
by Robert Forsyth Scott
Publisher: Cambridge University Press 1904
Number of pages: 308
In the present treatise I have attempted to give an exposition of the Theory of Determinants and their more important applications. The principal novelty of the treatise lies in the systematic use of Grassmann's alternate units, by means of which the study of determinants is, I believe, much simplified.
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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 John Browne
The primary focus of this book is to provide a readable account in modern notation of Grassmann's major algebraic contributions to mathematics and science. It should be accessible to scientists and engineers, students and professionals alike.
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 Sergei Winitzki - Ludwig-Maximilians University
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.