عنوان

An introduction to SAGE programming

(Number (ISBN

:9781119122784

Number

25298

.Language of Text, Soundtrack etc

انگلیسی

Title Proper

An introduction to SAGE programming

General Material Designation

[electronic resources]

Other Title Information

: with applications to SAGE interacts for numerical methods

First Statement of Responsibility

\ Razvan A. Mezei, Lenoir-Rhyne University, Donald & Helen Schort School of Mathematics and Computing Sciences, Hickory, NC, USA.

Place of Publication, Distribution, etc.

Hoboken, New Jersey

Name of Publisher, Distributor, etc.

: Wiley

Date of Publication, Distribution, etc.

, 2016

Specific Material Designation and Extent of Item

xii, 230 p.

Other Physical Details

:ill.

Dimensions

;24 cm

Text of Note

Index

Text of Note

Bibliography

Text of Note

Machine generated contents note: Preface vii 1. INTRODUCTION 1 1.1 What is Sage Math? 1 1.2 Various Flavors of Sage Math 1 1.2.1 Sage Math on your Machine 1 1.2.2 Sage Cell 2 1.2.3 Sage Cloud 2 2. USING SAGE MATH AS A CALCULATOR 5 2.1 First Sage Math Examples 5 2.2 Computations 6 2.2.1 Basic Arithmetic Operators 6 2.2.2 Decimals vs Exact Values 10 2.2.3 Constants 11 2.2.4 Breaking Long Lines of Code 12 2.2.5 Comments 13 2.2.6 Library Functions 14 2.2.7 Working with Strings 17 2.2.8 Solving equations and inequalities 19 2.2.9 Calculus Functions 21 2.2.10 Exercises 25 2.3 Graphs 28 2.3.1 2D Graphs 28 2.3.2 3D Graphs 53 2.3.3 Exercises 54 3. INTRODUCTION TO PROGRAMMING IN SAGE 57 3.1 Variables 58 3.1.1 Exercises 61 3.2 More on Operators 61 3.2.1 Exercises 63 3.3 Making Decisions 64 3.3.1 Boolean Expressions 64 3.3.2 If statements 66 3.3.3 Exercises 73 3.4 Loops 75 3.4.1 For loops 75 3.4.2 Strings 82 3.4.3 While loops 84 3.4.4 Nested loops 88 3.4.5 Lists 91 3.4.6 Exercises 96 3.5 Functions 99 3.5.1 Using library functions. Random, Scipy, Numpy 104 3.5.2 Exercises 105 3.6 Interacts 107 3.6.1 Exercises 123 3.7 Application to Data Security: Caesar's Cipher. Interacts, strings, and encryption 125 3.7.1 Exercises 127 3.8 Application to Business: Present Value of an Annuity. Amortization127 3.8.1 Exercises 133 3.9 Application to Elementary Statistics. Mean, Median, Histograms, and Bar Charts. 134 3.9.1 Exercises 142 4. SAGE INTERACTS FOR NUMERICAL METHODS 143 4.1 Equations of Lines 143 4.1.1 Exercises 145 4.2 Tangent Lines and Plots 145 4.2.1 Exercises 149 4.3 Taylor Polynomials 149 4.3.1 Exercises 155 4.4 Riemann Sum and De…nite Integrals 156 4.4.1 Exercises 162 4.5 Trapezoidal Rule for Numerical Integration 162 4.5.1 Exercises 170 4.6 Bisection Algorithm for Solving Equations 170 4.6.1 Exercises 179 4.7 Newton-Raphson Algorithm for Solving Equations 179 4.7.1 Exercises 191 4.8 Polynomial Interpolation 192 4.8.1 Exercises 198 4.9 Linear Spline Interpolation 198 4.9.1 Exercises 202 4.10 Cubic Spline Interpolation 203 4.10.1 Exercises 212 4.11 SAGE for solving Differential Equations 212 4.12 Numerical Methods for Ordinary Differential Equations 215 4.12.1 Exercises 221 4.13 Numerical Methods for Partial Di¤erential Equations 222 4.13.1 Exercises 227 4.14 Scatter plots. Line of Best Fit and More 228 4.14.1 Exercises 236 4.15 Matrices, Eigenvalues, and Eigenvectors 236 4.15.1 Exercises 243 4.16 Solving Matrix Equations 243 4.16.1 Exercises 245 Bibliography 247 Index 249 .

0

Text of Note

"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"--

Mathematics-- Data processing.

Numerical analysis-- Data processing.

Computer programming.

ریاضیات -- داده‌پردازی

Class number

Book number

Mezei, Razvan A.,1982-

Country

ایران

Date of Transaction

20190123161943.0

Cataloguing Rules (Descriptive Conventions))

rda

Date and Hour of Consultation and Access

9781119122784.pdf

Uniform Resource Identifier

http://catalogimages.wiley.com/images/db/jimages/9781119122784.jpg

BL

279177

1

N