- MATLAB codes used for all of the numerical methods are available from author's website
- Extensive coverage of optimization methods including regression, both principal and independent component analysis, and variational calculus
- Directed towards problem solving that incorporates the mathematical foundations of the subject
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- About this Textbook
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This textbook provides and introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The MATLAB codes used to produce most of the figures and data tables in the text are available on the author’s website and SpringerLink.
- About the authors
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Mark Holmes is a Professor at Rensselaer Polytechnic Institute. His current research interests include mechanoreception and sleep-wake cycles. Professor Holmes has three published books in Springer's Texts in Applied Mathematics series: Introduction to Perturbation Methods, Introduction to the Foundations of Applied Mathematics, and Introduction to Numerical Methods in Differential Equations.
- Reviews
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“The material is accompanied by many examples, exercises, as well as diagrams and tables of resulting data which are produced by MATLAB for which the programs are available on the author's website. The book is intended for beginners in scientific computing with basic knowledge in calculus, matrix algebra, and differential equations. … a good reading for the more advanced scientific engineer or lecturer in this field who may find numerous suggestions for working or teaching.” (Gudula Rünger, zbMATH 1368.65002, 2017)
- Table of contents (9 chapters)
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Introduction to Scientific Computing
Pages 1-29
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Solving A Nonlinear Equation
Pages 31-70
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Matrix Equations
Pages 71-120
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Eigenvalue Problems
Pages 121-181
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Interpolation
Pages 183-229
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Table of contents (9 chapters)
- Download Preface 1 PDF (138.4 KB)
- Download Sample pages 1 PDF (1.1 MB)
- Download Table of contents PDF (89.6 KB)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Introduction to Scientific Computing and Data Analysis
- Authors
-
- Mark H. Holmes
- Series Title
- Texts in Computational Science and Engineering
- Series Volume
- 13
- Copyright
- 2016
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-30256-0
- DOI
- 10.1007/978-3-319-30256-0
- Hardcover ISBN
- 978-3-319-30254-6
- Softcover ISBN
- 978-3-319-80762-1
- Series ISSN
- 1611-0994
- Edition Number
- 1
- Number of Pages
- XIV, 497
- Number of Illustrations
- 39 b/w illustrations, 138 illustrations in colour
- Topics
