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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
Students, teachers and professionals interested in utilizing the full power of Mathematica software. Little to no previous experience with the software is necessary.
PREFACE 1. STARTING (What is Mathematica; First Calculations; Important Conventions; Getting Help; Editing) 2. SIGHTSEEING (Graphics; Expressions; Mathematics) 3. NOTEBOOKS (Working with Notebooks; Editing Notebooks; Inputs and Outputs; Writing Mathematical Documents) 4. FILES (Loading Packages; Exporting and Importing; Saving for Other Purposes; Managing Time and Memory) 5. GRAPHICS FOR FUNCTIONS (Basic Plots for 2D Functions; Special Plots for 2D Functions; Plots for 3D Functions; Plots for 4D Functions) 6. GRAPHICS PRIMITIVES (Introduction; Primitives and Directives) 7. GRAPHICS OPTIONS (Introduction to Options; Options for Form, Ranges, and Fonts; Options for Axes, Frames, and Primitives; Options for the Curve; Options for Surface Plots; Options for Contour and Density Plots) 8. GRAPHICS FOR DATA (Basic Plots; Scatter Plots; Bar Charts; Other Plots; Graph Plots; Plots for 3D Data) 9. DATA (Chemical and Physical Data; Geographical and Financial Data; Mathematical and Other Data) 10. MANIPULATIONS (Basic Manipulation; Advanced Manipulation) 11. DYNAMICS (Views and Animations; Advanced Dynamics) 12. NUMBERS (Introduction to Numbers; Real Numbers; Options of Numerical Routines) 13. EXPRESSIONS (Basic Techniques; Manipulating Expressions; Manipulating Special Expressions; Mathematical Functions) 14. LISTS (Basic List Manipulation; Advanced List Manipulation) 15. TABLES (Basic Tabulating; Advanced Tabulating) 16. PATTERNS (Patterns; String Patterns) 17. FUNCTIONS (User-Defined Functions; More about Functions; Contexts and Packages) 18. PROGRAMS (Simple Programming; Procedural Programming; Functional Programming; Rule-Based Programming; Recursive Programming) 19. DIFFERENTIAL CALCULUS (Derivatives; Taylor Series; Limits) 20. INTEGRAL CALCULUS (Integration; Numerical Quadrature; Sums and Products; Transforms) 21. MATRICES (Vectors; Matrices) 22. EQUATIONS (Linear Equations; Polynomial and Radical Equations; Transcendental Equations) 23. OPTIMIZATION (Global Optimization; Linear Optimization; Local Optimization; Classical Optimization; Special Topics) 24. INTERPOLATION (Usual Interpolation; Piecewise Interpolation; Splines; Interpolation of Functions) 25. APPROXIMATION (Approximation of Data; Approximation of Functions) 26. DIFFERENTIAL EQUATIONS (Symbolic Solutions; More about Symbolic Solutions; Numerical Solutions; More about Numerical Solutions) 27. PARTIAL DIFFERENTIAL EQUATIONS (Symbolic Solutions; Series Solutions; Numerical Solutions) 28. DIFFERENCE EQUATIONS (Solving Difference Equations; The Logistic Equation; More About Discrete Systems) 29. PROBABILITY (Random Numbers and Sampling; Discrete Probability Distributions; Continuous Probability Distributions; Stochastic Processes) 30. STATISTICS (Descriptive Statistics; Frequencies; Confidence Intervals; Hypothesis Testing; Regression; Smoothing; Bayesian Statistics) REFERENCES INDEX
- © Academic Press 2009
- 6th March 2009
- Academic Press
- Paperback ISBN:
- eBook ISBN:
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.
University of Turku, Finland
Praise for the 2nd Edition:
"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." - John A. Wass, Scientific Computing
"... Run, do not walk, to get your copy." - Robert M. Lurie, Mathematica in Education and Research
"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 university curriculum in Mathematics such as calculus in single and several variables, linear algebra, differential equations, numerical analysis, partial differential equations." - Matti Vuorinen, Zentralblatt MATH
"The book is a must for all beginners in Mathematica, and a great help as a reference for those who already know Mathematica." - K. Waldhör, Computing Reviews
"... 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
"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
"There is a great need for this book. The outstanding feature of Mathematica Navigator is the great variety of Mathematica programs." - Mike Mesterton-Gibbons, Florida State University
"Mathematica Navigator is packed with excellent examples ... an invaluable companion to any textbook for most Mathematica-enriched courses." - Fred Szabo, Concordia University
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