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A Mathematica Primer for Physicists
Author(s): Jim Napolitano
Series: Textbook Series in Physical Sciences
Publisher: CRC Press, Year: 2018
ISBN: 9781138035096, 1138035092, 9781138486560, 1138486566, 9781315269481, 1315269481, 9781351979214, 1351979213
Description:
"…an excellent text for either a short course or self-study… Professor Napolitano has figured out what students really need, and found a way to deliver it… I have found everything he writes to be worthy of my serious attention…"
Peter D. Persans, Professor of Physics and Director, Center for Integrated Electronics, Rensselaer Polytechnic Institute
Learn how to use Mathematica quickly for basic problems in physics. The author introduces all the key techniques and then shows how they’re applied using common examples. Chapters cover elementary mathematics concepts, differential and integral calculus, differential equations, vectors and matrices, data analysis, random number generation, animation, and visualization.
Jim Napolitano is professor and chair in the Department of Physics at Temple University. He is the author of other textbooks, including co-author with Alistair Rae of Quantum Mechanics, Sixth Edition, also published by Taylor & Francis / CRC Press.
Table of contents :
Content: Cover
Half Title
Textbook Series in Physical Sciences
Title
Copyright
Dedication
How to read this book
Preface
Contents
Chapter 1 Introduction
1.1 GETTING STARTED
1.2 BUILT-IN OBJECTS
1.3 FUNCTIONS
1.4 SIMPLE PLOTTING
1.5 GOOD HABITS FOR WRITING NOTEBOOKS
1.6 PHYSICS EXAMPLE
1.7 GETTING HELP
1.8 CHAPTER SUMMARY
Chapter 2 Solving Algebraic Equations
2.1 SYNTAX FOR EQUATIONS AND SOLUTIONS
2.2 LIST MANIPULATIONS
2.3 SYSTEMS OF EQUATIONS
2.4 COMPLEX NUMBERS
2.5 PHYSICS EXAMPLES
2.6 CHAPTER SUMMARY
Chapter 3 Derivatives, Integrals, and Series
3.1 DERIVATIVES. 3.2 INDEFINITE INTEGRALS3.3 DEFINITE INTEGRALS
3.4 NUMERICAL INTEGRATION
3.5 POWER SERIES
3.6 PHYSICS EXAMPLES
3.7 CHAPTER SUMMARY
Chapter 4 Differential Equations: Analytic Solutions
4.1 FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
4.2 SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
4.3 SIMULTANEOUS DIFFERENTIAL EQUATIONS
4.4 PARTIAL DIFFERENTIAL EQUATIONS
4.5 PHYSICS EXAMPLES
4.6 CHAPTER SUMMARY
Chapter 5 Differential Equations: Numerical Solutions
5.1 ORDINARY DIFFERENTIAL EQUATIONS
5.2 PARTIAL DIFFERENTIAL EQUATIONS
5.3 PLOTTING IN THREE DIMENSIONS
5.4 PHYSICS EXAMPLES. 5.5 CHAPTER SUMMARYChapter 6 Vectors and Matrices
6.1 VECTORS AND MATRICES AS LISTS
6.2 LOGICAL EXPRESSIONS AND OPERATIONS
6.3 VECTOR OPERATIONS
6.4 MATRIX OPERATIONS
6.5 EIGENVALUE PROBLEMS
6.6 PHYSICS EXAMPLES
6.7 CHAPTER SUMMARY
Chapter 7 Basic Data Analysis
7.1 NUMBERS IN LISTS
7.2 SELECTING DATA SEGMENTS
7.3 READING DATA FROM A FILE
7.4 MAKING HISTOGRAMS
7.5 PHYSICS EXAMPLE
7.6 CHAPTER SUMMARY
Chapter 8 Fitting Data to Models
8.1 LINEAR FITTING
8.2 NONLINEAR FITTING
8.3 HANDLING DATA WITH ERROR BARS
8.4 PHYSICS EXAMPLE
8.5 CHAPTER SUMMARY. Chapter 9 Numerical Manipulations9.1 SIGNIFICANT FIGURES
9.2 NUMERICAL SOLUTIONS TO ALGEBRAIC EQUATIONS
9.3 WORKING WITH UNITS
9.4 ACCESS TO DATABASES
9.5 PHYSICS EXAMPLES
9.6 CHAPTER SUMMARY
Chapter 10 Random Numbers
10.1 GENERATING RANDOM NUMBERS
10.2 MONTE CARLO TECHNIQUES
10.3 PROBABILITY DISTRIBUTIONS
10.4 PHYSICS EXAMPLE
10.5 CHAPTER SUMMARY
Chapter 11 Animation
11.1 SCOPING
11.2 PLOTS IN MOTION
11.3 DRAWING GEOMETRIC SHAPES
11.4 CARTOON ANIMATION
11.5 PHYSICS EXAMPLES
11.6 CHAPTER SUMMARY
Chapter 12 Advanced Plotting and Visualization. 12.1 OPTIONS FOR 2D PLOTS12.2 OPTIONS FOR 3D PLOTS
12.3 CONTOUR AND DENSITY PLOTS
12.4 VECTOR DIFFERENTIAL CALCULUS
12.5 VISUALIZING VECTOR FIELDS
12.6 PHYSICS EXAMPLES
12.7 CHAPTER SUMMARY
Appendix A Additional Exercises
Appendix B Shorthands
Index.
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