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Numerical Analysis: A Graduate Course
Buch von David E. Stewart
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

David Stewart is a Professor of Mathematics at the University of Iowa specializing in the area of numerical analysis. Much of his research work can be found in Dynamics with Inequalities: impacts and hard constraints (SIAM), which is on differential equations with discontinuities. His interests also include numerical optimization, mathematical modeling, and other aspects of differential equations.

Zusammenfassung

Combines theory and practice in an application-based approach

Presents accessible graduate-level text

Includes algorithms and examples in Matlab and Julia programming

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2022
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xv
632 S.
48 s/w Illustr.
66 farbige Illustr.
632 p. 114 illus.
66 illus. in color.
ISBN-13: 9783031081200
ISBN-10: 303108120X
Sprache: Englisch
Einband: Gebunden
Autor: Stewart, David E.
Auflage: 1st edition 2022
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 38 mm
Von/Mit: David E. Stewart
Erscheinungsdatum: 02.12.2022
Gewicht: 1,245 kg
Artikel-ID: 121600675
Über den Autor

David Stewart is a Professor of Mathematics at the University of Iowa specializing in the area of numerical analysis. Much of his research work can be found in Dynamics with Inequalities: impacts and hard constraints (SIAM), which is on differential equations with discontinuities. His interests also include numerical optimization, mathematical modeling, and other aspects of differential equations.

Zusammenfassung

Combines theory and practice in an application-based approach

Presents accessible graduate-level text

Includes algorithms and examples in Matlab and Julia programming

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2022
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xv
632 S.
48 s/w Illustr.
66 farbige Illustr.
632 p. 114 illus.
66 illus. in color.
ISBN-13: 9783031081200
ISBN-10: 303108120X
Sprache: Englisch
Einband: Gebunden
Autor: Stewart, David E.
Auflage: 1st edition 2022
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 38 mm
Von/Mit: David E. Stewart
Erscheinungsdatum: 02.12.2022
Gewicht: 1,245 kg
Artikel-ID: 121600675
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