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Numerical Analysis Using Sage / by George A. Anastassiou, Razvan A. Mezei.

Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online

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Format:
Book
Author/Creator:
Anastassiou, George A., Author.
Mezei, Razvan A., Author.
Series:
Springer Undergraduate Texts in Mathematics and Technology, 1867-5506
Language:
English
Subjects (All):
Numerical analysis.
Computer software.
Numerical Analysis.
Mathematical Software.
Local Subjects:
Numerical Analysis.
Mathematical Software.
Physical Description:
1 online resource (XII, 314 p. 104 illus., 102 illus. in color.)
Edition:
1st ed. 2015.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2015.
Language Note:
English
Summary:
This is the first numerical analysis text to use Sage for the implementation of algorithms and can be used in a one-semester course for undergraduates in mathematics, math education, computer science/information technology, engineering, and physical sciences. The primary aim of this text is to simplify understanding of the theories and ideas from a numerical analysis/numerical methods course via a modern programming language like Sage. Aside from the presentation of fundamental theoretical notions of numerical analysis throughout the text, each chapter concludes with several exercises that are oriented to real-world application. Answers may be verified using Sage. The presented code, written in core components of Sage, are backward compatible, i.e., easily applicable to other software systems such as Mathematica®. Sage is open source software and uses Python-like syntax. Previous Python programming experience is not a requirement for the reader, though familiarity with any programming language is a plus. Moreover, the code can be written using any web browser and is therefore useful with Laptops, Tablets, iPhones, Smartphones, etc. All Sage code that is presented in the text is openly available on SpringerLink.com.
Contents:
Preface
1. Fundamentals
2. Solving Nonlinear Equations
3. Polynomial Interpolation
4.Numerical Differentiation
5. Numerical Integration
6. Spline Interpolation
7. Numerical Methods for Differential Equations
References
Index.
Notes:
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references and index.
Description based on publisher supplied metadata and other sources.
ISBN:
3-319-16739-1
OCLC:
907534753

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