Numerical Analysis: A Graduate Course
Series: CMS/CAIMS Books in Mathematics; 4;
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Product details:
- Edition number 1st ed. 2022
- Publisher Springer International Publishing
- Date of Publication 2 December 2022
- Number of Volumes 1 pieces, Book
- ISBN 9783031081200
- Binding Hardback
- No. of pages632 pages
- Size 235x155 mm
- Weight 1245 g
- Language English
- Illustrations XV, 632 p. 114 illus., 66 illus. in color. Illustrations, black & white 267
Categories
Long description:
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.
MoreTable of Contents:
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.
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