This text provides both theoretical knowledge and computational experience through the coverage of the mathematical underpinnings of scientific computing methods and their algorithmic aspects. The text meets the guidelines outlined by the actuarial society. Students are encouraged to use a calculator to complete the initial steps of an algorithm in order to have a firm understanding of it before writing a computer program. Separate computer exercises require students to write computer programs. Algorithms are presented in pseudocodes adaptable to any standard computer language. Flexible organization of the text presents important concepts in early chapters, making Chapters 1-8 suitable for a one-semester course, while Chapters 9-15 provide the more advanced material covered in a two-semester course.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Höhe: 241 mm
Breite: 196 mm
Gewicht
ISBN-13
978-0-03-098330-6 (9780030983306)
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Schweitzer Klassifikation
Preface. Numerical Computations. Nonlinear Equations. Roots of Polynomial Equations. Interpolation. Numerical Differentiation. Numerical Integration. Systems of Linear Equations. Initial-Value Problems: Single-Step Methods. Initial-Value Problems: Multistep Methods. Curve Fitting and Approximation of Functions. Iterative Methods for Systems of Equations. Numerical Solutions of Systems of Nonlinear Equations. Eigenvalues and Eigenvectors. Numerical Solution of Boundary-Value Problems. Numerical Solution of Partial Differential Equations. Appendix A: Review of Calculus. Appendix B: Review of Linear Algebra. Appendix C: Review of Ordinary Differential Equations. Appendix D: Review of Difference Equations. Appendix E: Orthogonal Polynomials. Answers to Selected Problems. Index.
