An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods - Hardcover

Mezei, Razvan A.

Hardcover

ISBN 10: 1119122783 ISBN 13: 9781119122784

Publisher: Wiley, 2015

Synopsis

Features a simplified presentation of numerical methods by introducing and implementing SAGE programs

An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods emphasizes how to implement numerical methods using SAGE Math and SAGE Interacts and also addresses the fundamentals of computer programming, including if statements, loops, functions, and interacts. The book also provides a unique introduction to SAGE and its computer algebra system capabilities; discusses second and higher order equations and estimate limits; and determines derivatives, integrals, and summations. Providing critical resources for developing successful interactive SAGE numerical computations, the book is accessible without delving into the mathematical rigor of numerical methods.

The author illustrates the benefits of utilizing the SAGE language for calculus and the numerical analysis of various methods such as bisection methods, numerical integration, Taylor’s expansions, and Newton’s iterations. Providing an introduction to the terminology and concepts involved, An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods also features:

• An introduction to computer programming using SAGE
• Many practical examples throughout to illustrate the application of SAGE Interacts for various numerical methods
• Discussions on how to use SAGE Interacts and SAGE Cloud in order to create mathematical demonstrations
• Numerous homework problems and exercises that allow readers to practice their programming skillset
• A companion website that includes related SAGE programming code and select solutions to the homework problems and exercises

An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods is an ideal reference for applied mathematicians who need to employ SAGE for the study of numerical methods and analysis. The book is also an appropriate supplemental textbook for upper-undergraduate and graduate-level courses in numerical methods.

About this title

About the Author

Razvan A. Mezei, PhD, is Assistant Professor in the Department of Mathematics and Computing Sciences at Lenoir-Rhyne University. A former software developer, Dr. Mezei's research interests include approximation theory, numerical analysis, inequalities, programming languages, data structures and algorithms, and free open source software.

Review

"I was pleased to see this book appear. I'm a great fan of the Sage project and its goal of “Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab,” so any book that seems to further those goals is a welcome sight." (Mathematical Association of America 21st February 2017)

Edition details

• Publisher: Wiley
• Publication date: 2015
• ISBN 10: 1119122783
• ISBN 13: 9781119122784
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 256