Finite Dimensional Linear Algebra is popular PDF and ePub book, written by Mark S. Gockenbach in 2011-06-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Finite Dimensional Linear Algebra can be Read Online from any device for your convenience.
Finite Dimensional Linear Algebra Book PDF Summary
Linear algebra forms the basis for much of modern mathematics—theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation. The author begins with an overview of the essential themes of the book: linear equations, best approximation, and diagonalization. He then takes students through an axiomatic development of vector spaces, linear operators, eigenvalues, norms, and inner products. In addition to discussing the special properties of symmetric matrices, he covers the Jordan canonical form, an important theoretical tool, and the singular value decomposition, a powerful tool for computation. The final chapters present introductions to numerical linear algebra and analysis in vector spaces, including a brief introduction to functional analysis (infinite-dimensional linear algebra). Drawing on material from the author’s own course, this textbook gives students a strong theoretical understanding of linear algebra. It offers many illustrations of how linear algebra is used throughout mathematics.
Detail Book of Finite Dimensional Linear Algebra PDF
- Author : Mark S. Gockenbach
- Release : 15 June 2011
- Publisher : CRC Press
- ISBN : 9781439815649
- Genre : Mathematics
- Total Page : 674 pages
- Language : English
- PDF File Size : 14,8 Mb
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