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Numerical Linear Algebra is written by Lloyd N. Trefethen and published by SIAM. It's available with International Standard Book Number or ISBN identification 0898719577 (ISBN 10) and 9780898719574 (ISBN 13).
A concise, insightful, and elegant introduction to the field of numerical linear algebra. Designed for use as a stand-alone textbook in a one-semester, graduate-level course in the topic, it has already been class-tested by MIT and Cornell graduate students from all fields of mathematics, engineering, and the physical sciences. The authors' clear, inviting style and evident love of the field, along with their eloquent presentation of the most fundamental ideas in numerical linear algebra, make it popular with teachers and students alike.