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Matrix, Numerical, and Optimization Methods in Science and Engineering

Specificaties
Gebonden, 600 blz. | Engels
Cambridge University Press | e druk, 2021
ISBN13: 9781108479097
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Cambridge University Press e druk, 2021 9781108479097
€ 131,15
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Samenvatting

Address vector and matrix methods necessary in numerical methods and optimization of linear systems in engineering with this unified text. Treats the mathematical models that describe and predict the evolution of our processes and systems, and the numerical methods required to obtain approximate solutions. Explores the dynamical systems theory used to describe and characterize system behaviour, alongside the techniques used to optimize their performance. Integrates and unifies matrix and eigenfunction methods with their applications in numerical and optimization methods. Consolidating, generalizing, and unifying these topics into a single coherent subject, this practical resource is suitable for advanced undergraduate students and graduate students in engineering, physical sciences, and applied mathematics.

Specificaties

ISBN13:9781108479097
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:600

Inhoudsopgave

Part I. Matrix Methods: 1. Vector and matrix algebra; 2. Algebraic eigenproblems and their applications; 3. Differential eigenproblems and their applications; 4. Vector and matrix calculus; 5. Analysis of discrete dynamical systems; Part II. Numerical Methods: 6. Computational linear algebra; 7. Numerical methods for differential equations; 8. Finite-difference methods for boundary-value problems; 9. Finite-difference methods for initial-value problems; Part III. Least Squares and Optimization: 10. Least-squares methods; 11. Data analysis – curve fitting and interpolation; 12. Optimization and root finding of algebraic systems; 13. Data-driven methods and reduced-order modeling.

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€ 131,15
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        Matrix, Numerical, and Optimization Methods in Science and Engineering