Format:
1 Online-Ressource(XV, 632 p. 114 illus., 66 illus. in color.)
Edition:
1st ed. 2022.
ISBN:
9783031081217
Series Statement:
CMS/CAIMS Books in Mathematics 4
Content:
Basics of mathematical computation -- Computing with Matrices and Vectors -- Solving nonlinear equations -- Approximations and interpolation -- Integration and differentiation -- Differential equations -- Randomness -- Optimization -- Appendix A: What you need from analysis.
Content:
This book aims to introduce graduate students to the many applications of numerical computation, explaining in detail both how and why the included methods work in practice. The text addresses numerical analysis as a middle ground between practice and theory, addressing both the abstract mathematical analysis and applied computation and programming models instrumental to the field. While the text uses pseudocode, Matlab and Julia codes are available online for students to use, and to demonstrate implementation techniques. The textbook also emphasizes multivariate problems alongside single-variable problems and deals with topics in randomness, including stochastic differential equations and randomized algorithms, and topics in optimization and approximation relevant to machine learning. Ultimately, it seeks to clarify issues in numerical analysis in the context of applications, and presenting accessible methods to students in mathematics and data science. .
Additional Edition:
ISBN 9783031081200
Additional Edition:
ISBN 9783031081224
Additional Edition:
ISBN 9783031081231
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031081200
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031081224
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031081231
Additional Edition:
Erscheint auch als Druck-Ausgabe Stewart, David, 1961 - Numerical analysis Cham : Springer, 2022 ISBN 9783031081200
Additional Edition:
ISBN 303108120X
Additional Edition:
ISBN 9783031081231
Language:
English
Subjects:
Mathematics
Keywords:
Wissenschaftliches Rechnen
;
Numerische lineare Algebra
;
Nichtlineares Gleichungssystem
;
Interpolation
;
Numerische Integration
;
Differentialgleichung
;
Zufallszahlen
;
Optimierung
DOI:
10.1007/978-3-031-08121-7
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