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  • Textbook
  • May 2023

Introduction to Scientific Computing and Data Analysis

Authors:

  • Codes used for all of the computational examples are available on GitHub

  • Covers optimization methods, regression principal & independent component analysis & variational calculus

  • Problem solving & the constructive use of the mathematical foundations of the subject

Part of the book series: Texts in Computational Science and Engineering (TCSE, volume 13)

Buying options

Hardcover Book USD 99.99
Price excludes VAT (USA)
This title has not yet been released. You may pre-order it now and we will ship your order when it is published on 29 May 2023.

About this book

This textbook provides an 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 codes used for most of the computational examples in the text are available on GitHub.  This new edition includes material necessary for an upper division course in computational linear algebra.

Keywords

  • Scientific Computing
  • Data Analysis
  • Optimization
  • Interpolation
  • Nonlinear Equations
  • Numerical Linear Algebra
  • Numerical Integration
  • Singular Value Decomposition
  • Conjugate Gradient Method

Authors and Affiliations

  • Department of Mathematical Sciences, Rensselaer Polytechnic University, Troy, USA

    Mark H. Holmes

About the author

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.

Bibliographic Information

Buying options

Hardcover Book USD 99.99
Price excludes VAT (USA)
This title has not yet been released. You may pre-order it now and we will ship your order when it is published on 29 May 2023.