Differential Equations and Linear Algebra
by Simon J.A. Malham
Publisher: Heriot-Watt University 2010
Number of pages: 95
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.
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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.
by Peter Petersen - UCLA
This book covers the aspects of linear algebra that are included in most advanced undergraduate texts: complex vectors spaces, complex inner products, spectral theorem for normal operators, dual spaces, quotient spaces, the minimal polynomial, etc.
by W.B.V. Kandasamy, F. Smarandache, K. Ilanthenral - arXiv
This book introduced a new algebraic structure called linear bialgebra. We have ventured in this book to introduce new concepts like linear bialgebra and Smarandache neutrosophic linear bialgebra and also give the applications of these structures.
by Robert Forsyth Scott - Cambridge University Press
In the present treatise I have attempted to give an exposition of the Theory of Determinants and their more important applications. The treatise uses Grassmann's alternate units, by means of which the study of determinants is much simplified.