Numerical analysis: a graduate course - David E. Stewart

Numerical analysis: a graduate course

Buch | Softcover
XV, 632 Seiten
2023 | 1. Auflage
Springer International Publishing (Verlag)
978-3-031-08123-1 (ISBN)
58,84 inkl. MwSt

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. 

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.


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.

"This is an attractive and challenging introduction to the theory and practice of numerical analysis intended primarily as a text for a graduate course. Well-prepared advanced undergraduates might also find it a valuable resource. ... Exercises throughout the book are numerous, well tied in to the text, and sometimes very challenging. The author seems to have given considerable thought to their creation and selection. Virtually all the algorithms included in the book come with pseudo-code ... ." (Bill Satzer, MAA Reviews, May 16, 2023)

“This is an attractive and challenging introduction to the theory and practice of numerical analysis intended primarily as a text for a graduate course. Well-prepared advanced undergraduates might also find it a valuable resource. … Exercises throughout the book are numerous, well tied in to the text, and sometimes very challenging. The author seems to have given considerable thought to their creation and selection. Virtually all the algorithms included in the book come with pseudo-code … .” (Bill Satzer, MAA Reviews, May 16, 2023)

Erscheinungsdatum
Reihe/Serie CMS/CAIMS Books in Mathematics
Zusatzinfo Illustrationen
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 979 g
Einbandart kartoniert
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte Approximation Theory • Numerical analysis • Numerical Differential Equations • numerical linear algebra • Numerical optimization • Scientific Computing • solution of equations
ISBN-10 3-031-08123-4 / 3031081234
ISBN-13 978-3-031-08123-1 / 9783031081231
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch | Hardcover (2022)
Springer Spektrum (Verlag)
79,99