Mathematica Navigator
Mathematics, Statistics, and Graphics
- 2nd Edition - May 5, 2004
- Author: Heikki Ruskeepaa
- Language: English
Mathematica Navigator is the only book you need to understand and use the new Mathematica. Part tutorial and part handbook, this updated guidebook provides a thorough introd… Read more
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Mathematica Navigator is the only book you need to understand and use the new Mathematica. Part tutorial and part handbook, this updated guidebook provides a thorough introduction to the software plus practical information and tips for using Mathematica on a daily basis to solve mathematical problems. The book emphasizes the use of graphics, methods of applied mathematics and statistics, and programming. While no previous experience with Mathematica is required, most chapters also include advanced material so that the book will be a valuable resource for beginners and experienced users. You'll want to keep it close by your computer for easy reference.
Based on recent releases of MathematicaWith the CD-ROM, the whole book can be installed into the help system of MathematicaMost chapters, while starting from the basics, go up to advanced topicsStudies several real-life data sets
Students and researchers interested in employing the full power of Mathematica
PrefaceChapter 1 Starting1.1 What Is Mathematica1.2 First Calculations1.3 Important Conventions1.4 Getting Help1.5 EditingChapter 2 Sightseeing2.1 Graphics2.2 Expressions2.3 MathematicsChapter 3 Notebooks3.1 Working with Notebooks3.2 Editing Notebooks3.3 Inputs and Outputs3.4 Writing Mathematical DocumentsChapter 4 Files4.1 Loading Packages4.2 Exporting and Importing Data and Graphics4.3 Saving for Other Purposes4.4 Managing Time and MemoryChapter 5 2D Graphics for Functions5.1 Basic Plotting5.2 Arranging Plots5.3 Other Plots for 2D Functions5.4 Graphics Primitives and DirectivesChapter 6 Options for 2D Graphics6.1 Introduction to Options6.2 Options for Form, Ranges, and Colors6.3 Font and Formatting6.4 Options for Curve6.5 Options for Axes, Ticks, Frames, and Grid Lines6.6 Options for Plot Labels, Primitives, and LegendsChapter 7 3D Graphics for Functions7.1 Surface, Contour, and Density Plots7.2 Other Plots for 3D Functions7.3 Improving the Illusion of Space7.4 Plots for 4D FunctionsChapter 8 Options for 3D Graphics8.1 Options for Surface Plots8.2 Options for Contour and Density PlotsChapter 9 2D Graphics for Data9.1 Plotting One Time Series9.2 Plotting Several Time Series9.3 Bar and Pie Charts9.4 Dot and Box-and-Whisker Plots9.5 Comparing Dependent VariablesChapter 10 3D Graphics for Data10.1 Surface, Contour, and Density Plots10.2 Bar Charts and Scatter PlotsChapter 11 Numbers11.1 Introduction to Numbers11.2 Real Numbers11.3 Options of Numerical RoutinesChapter 12 Expressions12.1 Basic Techniques12.2 Manipulating Expressions12.3 Manipulating Special Expressions12.4 Mathematical FunctionsChapter 13 Lists13.1 Forming and Tabulating Lists13.2 Manipulating Lists13.3 Mapping ListsChapter 14 Functions14.1 User-Defined Functions14.2 Tracing, Compiling, and Attributes14.3 Contexts and PackagesChapter 15 Programs15.1 Procedural Programming15.2 Functional Programming15.3 Rule-Based ProgrammingChapter 16 Differential Calculus16.1 Derivatives16.2 Taylor Series16.3 LimitsChapter 17 Integral Calculus17.1 Integration17.2 Numerical Quadrature17.3 Sums and Products17.4 TransformsChapter 18 Matrices18.1 Vectors18.2 MatricesChapter 19 Equations19.1 Linear Equations19.2 Polynomial and Radical Equations19.3 Transcendental EquationsChapter 20 Optimization20.1 Unconstrained Optimization20.2 Constrained Optimization20.3 Classical OptimizationChapter 21 Interpolation21.1 Usual Interpolation21.2 Piecewise Interpolation21.3 Splines21.4 Interpolation of FunctionsChapter 22 Approximation22.1 Approximation of Data22.2 Approximation of FunctionsChapter 23 Differential Equations23.1 Symbolic Solutions23.2 More about Symbolic Solutions23.3 Numerical Solutions23.4 More about Numerical SolutionsChapter 24 Partial Differential Equations24.1 Symbolic Solutions24.2 Series Solutions24.3 Numerical SolutionsChapter 25 Difference Equations25.1 Solving Difference Equations25.2 The Logistic Equation25.3 More about Nonlinear EquationsChapter 26 Probability26.1 Probability Distributions26.2 Stochastic ProcessesChapter 27 Statistics27.1 Descriptive Statistics27.2 Frequencies and Data Manipulation27.3 Smoothing27.4 Confidence Intervals27.5 Hypothesis Testing27.6 Regression27.7 Bayesian StatisticsReferencesIndex
"Novices or beginners who may be students of engineering, science or mathematics....definitely needs Mathematica Navigator. ...Those who do not use Mathematica everyday, and may work with it for a period of time and then not again for several weeks or more...finds that Mathematica Navigator is totally indispensable. ...Finally, some users are constantly working with Mathematica, probably teaching courses or writing programs...should definitely have Mathematica Navigator. ...Run, do not walk, to get your copy."—Robert M. Lurie, MIT for iJournals.net "Each [chapter] is a gem of clarity and concise application, but space limits the praise. If the book has any failings, it is in leaving the reader begging for more."—Scientific Computing and Instrumentation "This is an excellent reference book that I would recommend to any one who is thinking about becoming (or already is) a serious user of Mathematica...I am particularly impressed by the organization which allows a mathematician to approach Mathematica by specific mathematical topics rather than using the organization of Wolfram's Mathematica Book. In addition, I find that the text is clearly written and the examples are well-chosen."—Bill Emerson, Metropolitan State University "Mathematica Navigator is packed with excellent examples...an invaluable companion to any textbook for most Mathematica-enriched courses."—Fred Szabo, Concordia University "...does a fantastic job at introducing Mathematica for the applied scientist. The book's use of Mathematica is slick, intelligent and comprehensive. It emphasizes Mathematica's strengths, and does it in the best possible way."—Joaquin Carbonara, Buffalo State University "There is a great need for this book. The outstanding feature...is the great variety of Mathematica programs."—Mike Mesterton-Gibbons, Florida State University "The present book is one of the best sources in many respects: its perfect layout, carefully thought-of exposition of the fine points of the software, sophisticated and illuminating examples that are all available on the accompanying CD-ROM. The topics discussed cover many topics which occur in the first two or three years of universioty curriculum in Mathematics such as calculus in single and several variables, linear algebra, differential equations, numerical analysis, partial differential equations."—ZentralblattMATH
- Edition: 2
- Published: May 5, 2004
- Language: English
HR
Heikki Ruskeepaa
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.
Affiliations and expertise
University of Turku, Finland