Mathematica Navigator (eBook)

Mathematics, Statistics and Graphics

Heikki Ruskeepaa (Autor)

eBook Download: PDF

2009 | 3. Auflage
1136 Seiten
Elsevier Science (Verlag)
978-0-08-092099-3 (ISBN)

Infos

Ruskeepaa gives a general introduction to the most recent versions of Mathematica, the symbolic computation software from Wolfram. The book emphasizes graphics, methods of applied mathematics and statistics, and programming.
Mathematica Navigator can be used both as a tutorial and as a handbook. While no previous experience with Mathematica is required, most chapters also include advanced material, so that the book will be a valuable resource for both beginners and experienced users.

- Covers both Mathematica 6 and Mathematica 7 - The book, fully revised and updated, is based on Mathematica 6 - Comprehensive coverage from basic, introductory information through to more advanced topics - Studies several real data sets and many classical mathematical models

Heikki Ruskeepää teaches applied mathematics at the University of Turku. He has published guides on mathematical software such as Macsyma, Mathematica, and SAS/OR. Ruskeepää received his Ph.D. from the Department of Applied Mathematics of the University of Turku, Finland. He has also published several books in Finnish.

Inhalt

Front Cover 1
Mathematica® Navigator: Mathematics, Statistics, and Graphics 4
Copyright Page 5
Contents 8
Preface 12
Chapter 1 Starting 24
1.1 What Is Mathematica 25
1.2 First Calculations 29
1.3 Important Conventions 35
1.4 Getting Help 38
1.5 Editing 45
Chapter 2 Sightseeing 48
2.1 Graphics 49
2.2 Expressions 54
2.3 Mathematics 63
Chapter 3 Notebooks 74
3.1 Working with Notebooks 75
3.2 Editing Notebooks 82
3.3 Inputs and Outputs 93
3.4 Writing Mathematical Documents 101
Chapter 4 Files 116
4.1 Loading Packages 117
4.2 Exporting and Importing 123
4.3 Saving for Other Purposes 132
4.4 Managing Time and Memory 135
Chapter 5 Graphics for Functions 138
5.1 Basic Plots for 2D Functions 139
5.2 Other Plots for 2D Functions 155
5.3 Plots for 3D Functions 162
5.4 Plots for 4D Functions 170
Chapter 6 Graphics Primitives 174
6.1 Introduction to Graphics Primitives 175
6.2 Primitives and Directives 178
Chapter 7 Graphics Options 202
7.1 Introduction to Options 203
7.2 Options for Form, Ranges, and Fonts 212
7.3 Options for Axes, Frames, and Primitives 218
7.4 Options for the Curve 226
7.5 Options for Surface Plots 233
7.6 Options for Contour and Density Plots 249
Chapter 8 Graphics for Data 254
8.1 Basic Plots 255
8.2 Scatter Plots 272
8.3 Bar Charts 276
8.4 Other Plots 283
8.5 Graph Plots 290
8.6 Plots for 3D Data 298
Chapter 9 Data 306
9.1 Chemical and Physical Data 307
9.2 Geographical and Financial Data 316
9.3 Mathematical and Other Data 323
Chapter 10 Manipulations 338
10.1 Basic Manipulation 339
10.2 Advanced Manipulation 361
Chapter 11 Dynamics 380
11.1 Views and Animations 380
11.2 Advanced Dynamics 392
Chapter 12 Numbers 418
12.1 Introduction to Numbers 419
12.2 Real Numbers 426
12.3 Options of Numerical Routines 432
Chapter 13 Expressions 436
13.1 Basic Techniques 437
13.2 Manipulating Expressions 442
13.3 Manipulating Special Expressions 450
13.4 Mathematical Functions 458
Chapter 14 Lists 466
14.1 Basic List Manipulation 467
14.2 Advanced List Manipulation 482
Chapter 15 Tables 490
15.1 Basic Tabulating 490
15.2 Advanced Tabulating 493
Chapter 16 Patterns 514
16.1 Patterns 514
16.2 String Patterns 528
Chapter 17 Functions 534
17.1 User-Defined Functions 535
17.2 More about Functions 546
17.3 Contexts and Packages 554
Chapter 18 Programs 564
18.1 Simple Programming 565
18.2 Procedural Programming 576
18.3 Functional Programming 591
18.4 Rule-Based Programming 607
18.5 Recursive Programming 619
Chapter 19 Differential Calculus 638
19.1 Derivatives 638
19.2 Taylor Series 647
19.3 Limits 653
Chapter 20 Integral Calculus 656
20.1 Integration 657
20.2 Numerical Quadrature 667
20.3 Sums and Products 689
20.4 Transforms 693
Chapter 21 Matrices 700
21.1 Vectors 700
21.2 Matrices 709
Chapter 22 Equations 732
22.1 Linear Equations 733
22.2 Polynomial and Radical Equations 739
22.3 Transcendental Equations 753
Chapter 23 Optimization 764
23.1 Global Optimization 766
23.2 Linear Optimization 776
23.3 Local Optimization 782
23.4 Classical Optimization 791
23.5 Special Topics 800
Chapter 24 Interpolation 814
24.1 Usual Interpolation 815
24.2 Piecewise Interpolation 820
24.3 Splines 826
24.4 Interpolation of Functions 829
Chapter 25 Approximation 834
25.1 Approximation of Data 835
25.2 Approximation of Functions 847
Chapter 26 Differential Equations 852
26.1 Symbolic Solutions 853
26.2 More about Symbolic Solutions 864
26.3 Numerical Solutions 872
26.4 More about Numerical Solutions 888
Chapter 27 Partial Differential Equations 908
27.1 Symbolic Solutions 909
27.2 Series Solutions 916
27.3 Numerical Solutions 932
Chapter 28 Difference Equations 946
28.1 Solving Difference Equations 947
28.2 The Logistic Equation 958
28.3 More about Discrete Systems 973
Chapter 29 Probability 984
29.1 Random Numbers and Sampling 985
29.2 Discrete Probability Distributions 989
29.3 Continuous Probability Distributions 999
29.4 Stochastic Processes 1010
Chapter 30 Statistics 1026
30.1 Descriptive Statistics 1027
30.2 Frequencies 1034
30.3 Confidence Intervals 1043
30.4 Hypothesis Testing 1047
30.5 Regression 1053
30.6 Smoothing 1064
30.7 Bayesian Statistics 1069
References 1086
Index 1090
About the CD-ROM 1135

Produkt-Details

• Erscheint lt. Verlag: 12.6.2009
• Sprache: englisch
• Themenwelt: Informatik ► Office Programme ► Outlook
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra
• Themenwelt: Technik
• ISBN-10: 0-08-092099-3 / 0080920993
• ISBN-13: 978-0-08-092099-3 / 9780080920993