Introduction to Numerical Linear Algebra

Christoph Borgers (Autor)

Buch | Softcover

277 Seiten

2022
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-1-61197-691-5 (ISBN)

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Fit for students just starting to build a background in mathematics, this textbook provides an introduction to numerical methods for linear algebra problems. This text is ideal for a flipped classroom, as it provides detailed explanations that allow students to read on their own and instructors to go beyond lecturing.

Fit for students just starting to build a background in mathematics, this textbook provides an introduction to numerical methods for linear algebra problems.

Introduction to Numerical Linear Algebra

is ideal for a flipped classroom, as it provides detailed explanations that allow students to read on their own and instructors to go beyond lecturing,
assumes that the reader has taken a course on linear algebra, but reviews background as needed, and
covers several topics not commonly addressed in related introductory books, including diffusion, a toy model of computed tomography, global positioning systems, the use of eigenvalues in analyzing stability of equilibria, a detailed derivation and careful motivation of the QR method for eigenvalues starting from power iteration, a discussion of the use of the SVD for assigning grades, and multigrid methods.

This textbook is appropriate for undergraduate and beginning graduate students in mathematics and related fields. It can be used in the following courses: Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory

Christoph Börgers is a Professor of Mathematics at Tufts University. He has worked in and written about several areas of applied mathematics, including numerical methods for elliptic boundary value problems, computational fluid dynamics, computational methods for linear particle transport, computational neuroscience, the mathematics of voting, and anomalous diffusion and Lévy walks. He is the author of two previous books, including Mathematics of Social Choice (SIAM, 2009). He has been a SIAM member for much of his life.

Erscheinungsdatum	31.01.2022
Reihe/Serie	Other Titles in Applied Mathematics
Verlagsort	New York
Sprache	englisch
Gewicht	735 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	1-61197-691-X / 161197691X
ISBN-13	978-1-61197-691-5 / 9781611976915
Zustand	Neuware