Elementary Numerical Mathematics for Programmers and Engineers

• Verfasst von: Stoyan, Gisbert [VerfasserIn]
• Verfasst von: Baran, Agnes [VerfasserIn]
• Titel: Elementary Numerical Mathematics for Programmers and Engineers
• Verf.angabe: by Gisbert Stoyan, Agnes Baran
• Ausgabe: 2nd ed. 2024.
• Verlagsort: Cham
• Verlagsort: Cham
• Verlag: Springer International Publishing
• Verlag: Imprint: Birkhäuser
• E-Jahr: 2024
• Jahr: 2024.
• Jahr: 2024.
• Umfang: 1 Online-Ressource(XIV, 301 p. 39 illus., 23 illus. in color.)
• Gesamttitel/Reihe: Compact Textbooks in Mathematics
• ISBN: 978-3-031-66089-4
• DOI: doi:10.1007/978-3-031-66089-4
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Stoyan, Gisbert, 1942 - 2018: Elementary numerical mathematics for programmers and engineers. - Second edition. - Cham : Birkhäuser Verlag, 2024. - xiv, 301 Seiten
• K10plus-PPN: 190272061X
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

- 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.

Abstract

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.