By Mark S. Gockenbach
ISBN-10: 1439815631
ISBN-13: 9781439815632
Linear algebra types the root for a lot of contemporary mathematics—theoretical, utilized, and computational. Finite-Dimensional Linear Algebra presents a high-quality starting place for the research of complicated arithmetic and discusses functions of linear algebra to such diversified parts as combinatorics, differential equations, optimization, and approximation.
The writer starts off with an summary of the basic subject matters of the ebook: linear equations, most sensible approximation, and diagonalization. He then takes scholars via an axiomatic improvement of vector areas, linear operators, eigenvalues, norms, and internal items. as well as discussing the certain homes of symmetric matrices, he covers the Jordan canonical shape, a massive theoretical instrument, and the singular worth decomposition, a robust instrument for computation. the ultimate chapters current introductions to numerical linear algebra and research in vector areas, together with a quick advent to practical research (infinite-dimensional linear algebra).
Drawing on fabric from the author’s personal direction, this textbook offers scholars a robust theoretical realizing of linear algebra. It bargains many illustrations of the way linear algebra is used all through arithmetic.
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Finite-Dimensional Linear Algebra (Discrete Mathematics and Its Applications) by Mark S. Gockenbach
by Mark
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