Applied Scientific Computing

With Python

Peter R. Turner, Thomas Arildsen, Kathleen Kavanagh (Autoren)

Buch | Hardcover

X, 272 Seiten

2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-89574-1 (ISBN)

Artikel merken

lt;p>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.

lt;p>Motivation and Background

Number Representations and Errors

Numerical Calculus

Linear Equations

Iterative Solution of Nonlinear Equations

Interpolation

Differential Equations

lt;p>"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)

Erscheinungsdatum	09.07.2018
Reihe/Serie	Texts in Computer Science
Zusatzinfo	X, 272 p. 56 illus., 7 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	577 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Differential Equations • Interpolation • least squares approximation • Linear equations • numerical calculus • Numerical Differentiation • Numerical Integration • Python • Scientific Computing
ISBN-10	3-319-89574-5 / 3319895745
ISBN-13	978-3-319-89574-1 / 9783319895741
Zustand	Neuware