Book description
For the engineering and scientific professional, A Physicist’s Guide to Mathematica, Second Edition 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 as it applies to research in physics.
For professors teaching physics and other science courses using the Mathematica software, A Physicist’s Guide to Mathematica, Second Edition is the only fully compatible (new software release) Mathematica text that engages students by providing complete topic coverage, new applications, exercises and examples that enable the user to solve a wide range of physics problems.
- Does not require prior knowledge of Mathematica or computer programming
- Can be used as either a primary or supplemental text for upper-division physics majors
- Provides over 450 end-of-section exercises and end-of-chapter problems
- Serves as a reference suitable for chemists, physical scientists, and engineers
- Compatible with Mathematica Version 6, a recent major release
Table of contents
- Copyright
- Preface to the Second Edition
- Preface to the First Edition
-
I. Mathematica with Physics
- 1. The First Encounter
-
2. Interactive Use of Mathematica
-
2.1. 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 Integration
- 2.1.18. 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 Equations
- 2.2.15. 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
-
2.4. 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 Elements
- 2.4.6. 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
- 2.6. Problems
-
2.1. Numerical Capabilities
- 3. Programming in Mathematica
-
II. Physics with Mathematica
- 4. Mechanics
- 5. Electricity and Magnetism
- 6. Quantum Physics
- A. The Last Ten Minutes
- B. Operator Input Forms
- C. Solutions to Exercises
- D. Solutions to Problems
-
References
Product information
- Title: A Physicist's Guide to Mathematica, 2nd Edition
- Author(s):
- Release date: August 2011
- Publisher(s): Academic Press
- ISBN: 9780080926247
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