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© 2018

Applied Scientific Computing

With Python

Textbook

Part of the Texts in Computer Science book series (TCS)

Table of contents

  1. Front Matter
    Pages i-x
  2. Peter R. Turner, Thomas Arildsen, Kathleen Kavanagh
    Pages 1-13
  3. Peter R. Turner, Thomas Arildsen, Kathleen Kavanagh
    Pages 15-33
  4. Peter R. Turner, Thomas Arildsen, Kathleen Kavanagh
    Pages 35-80
  5. Peter R. Turner, Thomas Arildsen, Kathleen Kavanagh
    Pages 81-144
  6. Peter R. Turner, Thomas Arildsen, Kathleen Kavanagh
    Pages 145-188
  7. Peter R. Turner, Thomas Arildsen, Kathleen Kavanagh
    Pages 189-228
  8. Peter R. Turner, Thomas Arildsen, Kathleen Kavanagh
    Pages 229-266
  9. Back Matter
    Pages 267-272

About this book

Introduction

This easy-to-understand textbook presents a modern approach to learning numerical methods (or scientific computing), with a unique focus on the modeling and applications of the mathematical content. Emphasis is placed on the need for, and methods of, scientific computing for a range of different types of problems, supplying the evidence and justification to motivate the reader. Practical guidance on coding the methods is also provided, through simple-to-follow examples using Python.

Topics and features:

  • Provides an accessible and applications-oriented approach, supported by working Python code for many of the methods
  • Encourages both problem- and project-based learning through extensive examples, exercises, and projects drawn from practical applications
  • Introduces the main concepts in modeling, python programming, number representation, and errors
  • Explains the essential details of numerical calculus, linear, and nonlinear equations, including the multivariable Newton method
  • Discusses interpolation and the numerical solution of differential equations, covering polynomial interpolation, splines, and the Euler, Runge–Kutta, and shooting methods
  • Presents largely self-contained chapters, arranged in a logical order suitable for an introductory course on scientific computing

Undergraduate students embarking on a first course on numerical methods or scientific computing will find this textbook to be an invaluable guide to the field, and to the application of these methods across such varied disciplines as computer science, engineering, mathematics, economics, the physical sciences, and social science.

Dr. Peter R. Turner  is the Founding Director of the Institute for STEM Education at Clarkson University, Potsdam, NY, USA.  Dr. Thomas Arildsen  is an Associate Professor in the Department of Electronic Systems at Aalborg University, Denmark.  Dr. Kathleen Kavanagh  is a Professor in the Department of Mathematics at Clarkson University.

Keywords

Scientific Computing Interpolation Numerical Calculus Numerical Integration Numerical Differentiation Differential Equations Linear Equations Least Squares Approximation Python

Authors and affiliations

  1. 1.Clarkson UniversityPotsdamUSA
  2. 2.Aalborg UniversityAalborgDenmark
  3. 3.Clarkson UniversityPotsdamUSA

About the authors

Dr. Peter R. Turner is the Founding Director of the Institute for STEM Education at Clarkson University, Potsdam, NY USA.

Dr. Thomas Arildsen is an Associate Professor in the Department of Electronic Systems at Aalborg University, Denmark.

Dr. Kathleen Kavanagh is a Professor in the Department of Mathematics at Clarkson University.

Bibliographic information

Industry Sectors
IT & Software

Reviews

“This book is a valuable contribution, easily readable, in the field of computation of linear and nonlinear systems using Python. … The book will be very useful to a vast number of readers in various fields.” (Nirode C. Mohanty, zbMATH 1411.65004, 2019)