Abell / Braselton Mathematica by Example

1. Auflage 2014
ISBN: 978-1-4832-5928-4
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 670 Seiten, Web PDF

Mathematica by Example presents the commands and applications of Mathematica, a system for doing mathematics on a computer. This text serves as a guide to beginning users of Mathematica and users who do not intend to take advantage of the more specialized applications of Mathematica. The book combines symbolic manipulation, numerical mathematics, outstanding graphics, and a sophisticated programming language. It is comprised of 10 chapters. Chapter 1 gives a brief background of the software and how to install it in the computer. Chapter 2 introduces the essential commands of Mathematica. Basic operations on numbers, expressions, and functions are introduced and discussed. Chapter 3 provides Mathematica's built-in calculus commands. The fourth chapter presents elementary operations on lists and tables. This chapter is a prerequisite for Chapter 5 which discusses nested lists and tables in detail. The purpose of Chapter 6 is to illustrate various computations Mathematica can perform when solving differential equations. Chapters 7, 8, and 9 introduce Mathematica Packages that are not found in most Mathematica reference book. The final chapter covers the Mathematica Help feature. Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful.

Autoren/Hrsg.

Abell, Martha L

Braselton, James P.

Inhaltsverzeichnis

1;Front Cover;1
2;Mathematica by Example;4
3;Copyright Page;5
4;Table of Contents;6
5;PREFACE;16
6;Chapter 1. Getting Started;18
6.1;1.1 Macintosh Basics;19
6.2;1.2 Introduction to the Basic Types of Cells, Cursor Shapes, and Evaluating Commands;23
6.3;1.3 Introduction to the Mathematica Menu;28
6.4;Preview;30
7;Chapter 2. Mathematical Operations on Numbers, Expressions and Functions in Mathematica;31
7.1;2.1 Numerical Calculations and Built-in Functions;33
7.2;2.2 Expressions and Functions;43
7.3;2.3 Mod Math;61
7.4;2.4 Graphing Functions and Expressions;65
7.5;2.5 Exact and Approximate Solutions of Equations;88
8;Chapter 3. Calculus;101
8.1;3.1 Computing Limits;103
8.2;3.2 Differential Calculus;109
8.3;3.3 Implicit Differentiation;131
8.4;3.4 Integral Calculus;140
8.5;3.5 Series;154
8.6;3.6 Multi-Variable Calculus;164
9;Chapter 4. Introduction to Lists and Tables;207
9.1;4.1 Defining Lists;209
9.2;4.2 Operations on Lists;214
9.3;4.3 Applications;227
10;Chapter 5. Introduction to Nested Lists: Matrices and Vectors;278
10.1;5.1 Nested Lists: Introduction to Matrices, Vectors and Matrix Operations;279
10.2;5.2 Linear Systems of Equations;294
10.3;5.3 Vector Calculus;320
10.4;5.4 Saving Results for Future Mathematica Sessions;339
11;Chapter 6. Applications Related to Ordinary and Partial Differential Equations;352
11.1;6.1 Linear Equations;353
11.2;6.2 Exact Differential Equations;362
11.3;6.3 Undetermined Coefficients;372
11.4;6.4 Linear n-th Order Differential Equations with Constant Coefficients;380
11.5;6.5 The Cauchy-Euler Equation;386
11.6;6.6 Variation of Parameters;389
11.7;6.7 Capabilities of DSolve;394
11.8;6.8 Systems of Linear Differential Equations;397
11.9;6.9 Series Solutions to Ordinary Differential Equations;409
11.10;6.10 Series Solutions to Partial Differential Equations;419
11.11;6.11 Numerical Solutions of Differential Equations;431
11.12;6.12 Numerical Solutions of Systems of Differential Equations;434
12;Chapter 7. Introduction to Mathematica Packages;439
12.1;7.1 Algebra;440
12.2;7.2 Linear Algebra;452
12.3;7.3 Version 2.0 Calculus;487
12.4;7.4 Discrete Math;498
13;Chapter 8. Some Graphics Packages;514
13.1;8.1 Graphics.m;514
13.2;8.2 Polyhedra.m;526
13.3;8.3 Shapes.m;530
13.4;8.4 ParametricPlot3D.m;540
13.5;8.5 ImpIicitPlot.m;546
13.6;8.6 PlotField.m;550
13.7;8.7 PlotField3D.m;552
13.8;8.8 ComplexMap.m;556
14;Chapter 9. Some Special Packages;560
14.1;9.1 Approximations.m;561
14.2;9.2 GaussianQuadrature.m;566
14.3;9.3 NLimit.m;570
14.4;9.4 PolynomialFit.m;576
14.5;9.5 RungeKutta.m;582
14.6;9.7 HypothesisTests.m;597
14.7;9.8 Confidencelntervals.m;603
14.8;9.9 LinearRegression.m;606
15;Chapter 10. Getting Help from Mathematica and Making Mathematica Do What You Want;611
15.1;10.1 Getting Help from Mathematica;611
15.2;10.2 The init.m file;626
15.3;10.3 Explanation of the Mathematica Menu;629
15.4;10.4 Some Common Errors and Their Remedies;645
15.5;10.5 Additional References;651
16;Appendix: Introduction to Programming in Mathematica;652
17;Index;664