by Peter Petersen
Publisher: UCLA 2007
Number of pages: 300
This book covers the aspects of linear algebra that are included in most advanced undergraduate texts. All the usual topics from complex vectors spaces, complex inner products, The Spectral theorem for normal operators, dual spaces, quotient spaces, the minimal polynomial, the Jordan canonical form, and the rational canonical form are explained. A chapter on determinants has been included as the last chapter.
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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 S. E. Payne - University of Colorado Denver
This book is written as a text for a second semester of linear algebra at the senior or first-year-graduate level. It is assumed that you already have successfully completed a first course in linear algebra and a first course in abstract algebra.
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 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.