Finite Dimensional Linear Algebra
Download and Read Finite Dimensional Linear Algebra full books in PDF, ePUB, and Kindle. Read online free Finite Dimensional Linear Algebra ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Finite-Dimensional Linear Algebra
Author | : Mark S. Gockenbach |
Publisher | : CRC Press |
Total Pages | : 674 |
Release | : 2011-06-15 |
Genre | : Mathematics |
ISBN | : 143981564X |
Download Finite-Dimensional Linear Algebra Book in PDF, Epub and Kindle
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.
Finite-Dimensional Linear Algebra Related Books
Pages: 674
Pages: 548
Pages: 209
Pages: 260
Pages: 333