Numerical Analysis Using Sage

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Numerical Analysis Using Sage

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Author : George A. Anastassiou
language : en
Publisher: Springer
Release Date : 2015-04-11

Numerical Analysis Using Sage written by George A. Anastassiou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-11 with Mathematics categories.

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.

An Introduction To Sage Programming

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Author : Razvan A. Mezei
language : en
Publisher: John Wiley & Sons
Release Date : 2015-12-29

An Introduction To Sage Programming written by Razvan A. Mezei and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-29 with Mathematics categories.

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.

Sage Beginner S Guide

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Author : Craig Finch
language : en
Publisher: Packt Publishing Ltd
Release Date : 2011-05-11

Sage Beginner S Guide written by Craig Finch and has been published by Packt Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-11 with Computers categories.

Annotation Your work demands results, and you don't have time for tedious, repetitive mathematical tasks. Sage is a free, open-source software package that automates symbolic and numerical calculations with the power of the Python programming language, so you can focus on the analytical and creative aspects of your work or studies. Sage Beginner's Guide shows you how to do calculations with Sage. Each concept is illustrated with a complete example that you can use as a starting point for your own work. You will learn how to use many of the functions that are built in to Sage, and how to use Python to write sophisticated programs that utilize the power of Sage. This book starts by showing you how to download and install Sage, and introduces the command-line interface and the graphical notebook interface. It also includes an introduction to Python so you can start programming in Sage. Every major concept is illustrated with a practical example. After learning the fundamentals of variables and functions in Sage, you will learn how to symbolically simplify expressions, solve equations, perform integrals and derivatives, and manipulate vectors and matrices. You will learn how Sage can produce numerous kinds of plots and graphics. The book will demonstrate numerical methods in Sage, and explain how to use object-oriented programming to improve your code. Sage Beginner's Guide will give you the tools you need to unlock the full potential of Sage for simplifying and automating mathematical computing. Effectively use Sage to eliminate tedious algebra, speed up numerical calculations, implement algorithms and data structures, and illustrate your work with publication-quality plots and graphics.

Russian Journal Of Numerical Analysis And Mathematical Modelling

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Author :
language : en
Publisher:
Release Date : 1992

Russian Journal Of Numerical Analysis And Mathematical Modelling written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Electronic journals categories.

Journal Of The Statistical Society Of London

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Author :
language : en
Publisher:
Release Date : 1881

Journal Of The Statistical Society Of London written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1881 with Great Britain categories.

Canadian Geotechnical Journal

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Author : National Research Council Canada
language : en
Publisher:
Release Date : 2001

Canadian Geotechnical Journal written by National Research Council Canada and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Engineering categories.

Journal Of The Statistical Society Of London

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Author : Royal Statistical Society (Great Britain)
language : en
Publisher:
Release Date : 1881

Journal Of The Statistical Society Of London written by Royal Statistical Society (Great Britain) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1881 with Great Britain categories.

Published papers whose appeal lies in their subject-matter rather than their technical statistical contents. Medical, social, educational, legal,demographic and governmental issues are of particular concern.

A Numerical Method For Smoothing Thermodynamic Data

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Author : Dennis Jerone Graue
language : en
Publisher:
Release Date : 1965

A Numerical Method For Smoothing Thermodynamic Data written by Dennis Jerone Graue and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Hydrocarbons categories.

Journal Of The Statistical Society

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Author : Statistical Society (Great Britain)
language : en
Publisher:
Release Date : 1881

Journal Of The Statistical Society written by Statistical Society (Great Britain) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1881 with Great Britain categories.

Siam Journal On Numerical Analysis

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Author : Society for Industrial and Applied Mathematics
language : en
Publisher:
Release Date : 1973

Siam Journal On Numerical Analysis written by Society for Industrial and Applied Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Electronic journals categories.

Contains research articles on the development and analysis of numerical methods, including their convergence, stability, and error analysis as well as related results in functional analysis and approximation theory. Computational experiments and new types of numerical applications are also included.