Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra
by Ray M. Bowen, C.-C.Wang
Publisher: Springer 2008
Number of pages: 314
This work represents our effort to present the basic concepts of vector and tensor analysis. Volume I begins with a brief discussion of algebraic structures followed by a rather detailed discussion of the algebra of vectors and tensors.
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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 William Thomson
Every important principle has been illustrated by copious examples, a considerable number of which have been fully worked out. As my main object has been to produce a textbook suitable for beginners, many important theorems have been omitted.
by Leif Mejlbro - BookBoon
The book is a collection of solved problems in linear algebra. The second volume covers geometrical vectors, vector spaces and linear maps. All examples are solved, and the solutions usually consist of step-by-step instructions.
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.