UID:
almahu_9949882718702882
Format:
XIV, 301 p. 39 illus., 23 illus. in color.
,
online resource.
Edition:
2nd ed. 2024.
ISBN:
9783031660894
Series Statement:
Compact Textbooks in Mathematics,
Content:
This book covers the basics of numerical methods. Avoiding the definition-theorem-proof style, it instead focuses on numerical examples and simple pseudo-codes. The text begins with a chapter on floating point arithmetic before moving on to discuss norms, conditions numbers, solutions of systems of equations, the least squares problem, eigenvalue problems, interpolation, numerical integration, ordinary differential equations, optimization (including a detailed case study), and practical error estimations. Exercises (partly in MATLAB) are provided at the end of each chapter. Suitable for readers with minimal mathematical knowledge, the book not only offers an elementary introduction to numerical mathematics for programmers and engineers but also provides supporting material for students and teachers of mathematics.
Note:
- Floating Point Arithmetic -- Norms, Condition Numbers -- Solving Systems of Linear Equations -- The Least Squares Problem -- Eigenvalue Problems -- Interpolation -- Nonlinear Equations and Systems -- Numerical Integration -- Ordinary Differential Equations -- Optimization -- Practical Error Estimation.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783031660887
Additional Edition:
Printed edition: ISBN 9783031660900
Language:
English
DOI:
10.1007/978-3-031-66089-4
URL:
https://doi.org/10.1007/978-3-031-66089-4
URL:
Volltext
(URL des Erstveröffentlichers)
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