A physicist's guide to Mathematica
For the engineering and scientific professional, A Physicist's Guide to Mathematica, 2e provides an updated reference guide based on the 2007 new 6.0 release, providing an organized and integrated desk reference with step-by-step instructions for the most commonly used features of the software...
| Autor principal: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; Boston :
Elsevier/AP
c2008.
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| Edición: | 2nd ed |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009627632506719 |
Tabla de Contenidos:
- Front Cover; A Physicist's Guide to Mathematica; Copyright Page; Table of Contents; Preface to the Second Edition; Preface to the First Edition; Part I: Mathematica with Physics; Chapter 1. The First Encounter; 1.1 The First Ten Minutes; 1.2 A Touch of Physics; 1.2.1 Numerical Calculations; 1.2.2 Symbolic Calculations; 1.2.3 Graphics; 1.3 Online Help; 1.4 Warning Messages; 1.5 Packages; 1.6 Notebook Interfaces; 1.6.1 Notebooks; 1.6.2 Entering Greek Letters; 1.6.3 Getting Help; 1.6.4 Preparing Input; 1.6.5 Starting and Aborting Calculations; 1.7 Problems
- Chapter 2. Interactive Use of Mathematica2.1 Numerical Capabilities; 2.1.1 Arithmetic Operations; 2.1.2 Spaces and Parentheses; 2.1.3 Common Mathematical Constants; 2.1.4 Some Mathematical Functions; 2.1.5 Cases and Brackets; 2.1.6 Ways to Refer to Previous Results; 2.1.7 Standard Computations; 2.1.8 Exact versus Approximate Values; 2.1.9 Machine Precision versus Arbitrary Precision; 2.1.10 Special Functions; 2.1.11 Matrices; 2.1.12 Double Square Brackets; 2.1.13 Linear Least-Squares Fit; 2.1.14 Complex Numbers; 2.1.15 Random Numbers; 2.1.16 Numerical Solution of Polynomial Equations
- 2.1.17 Numerical Integration2.1.18 Numerical Solution of Differential Equations; 2.1.19 Iterators; 2.1.20 Exercises; 2.2 Symbolic Capabilities; 2.2.1 Transforming Algebraic Expressions; 2.2.2 Transforming Trigonometric Expressions; 2.2.3 Transforming Expressions Involving Special Functions; 2.2.4 Using Assumptions; 2.2.5 Obtaining Parts of Algebraic Expressions; 2.2.6 Units, Conversion of Units, and Physical Constants; 2.2.7 Assignments and Transformation Rules; 2.2.8 Equation Solving; 2.2.9 Differentiation; 2.2.10 Integration; 2.2.11 Sums; 2.2.12 Power Series; 2.2.13 Limits
- 2.2.14 Solving Differential Equations2.2.15 Immediate versus Delayed Assignments and Transformation Rules; 2.2.16 Defining Functions; 2.2.17 Relational and Logical Operators; 2.2.18 Fourier Transforms; 2.2.19 Evaluating Subexpressions; 2.2.20 Exercises; 2.3 Graphical Capabilities; 2.3.1 Two-Dimensional Graphics; 2.3.2 Three-Dimensional Graphics; 2.3.3 Interactive Manipulation of Graphics; 2.3.4 Animation; 2.3.5 Exercise; 2.4 Lists; 2.4.1 Defining Lists; 2.4.2 Generating and Displaying Lists; 2.4.3 Counting List Elements; 2.4.4 Obtaining List and Sublist Elements
- 2.4.5 Changing List and Sublist Elements2.4.6 Rearranging Lists; 2.4.7 Restructuring Lists; 2.4.8 Combining Lists; 2.4.9 Operating on Lists; 2.4.10 Using Lists in Computations; 2.4.11 Analyzing Data; 2.4.12 Exercises; 2.5 Special Characters, Two-Dimensional Forms, and Format Types; 2.5.1 Special Characters; 2.5.2 Two-Dimensional Forms; 2.5.3 Input and Output Forms; 2.5.4 Exercises; 2.6 Problems; Chapter 3. Programming in Mathematica; 3.1 Expressions; 3.1.1 Atoms; 3.1.2 Internal Representation; 3.1.3 Manipulation; 3.1.4 Exercises; 3.2 Patterns; 3.2.1 Blanks; 3.2.2 Naming Patterns
- 3.2.3 Restricting Patterns
