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A mathematica primer for physicists
- Author / Creator
- Available as
- Online
- Summary
-
"" ... 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 wri...
"" ... 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 InstituteLearn 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. Written in an appealing, conversational stylePresents important concepts within the framework of MathematicsGives examples from frequently encountered physics problemsExplains problem-solving in a step-by-step fashion"--Provided by publisher.
Details
- Creator
- Jim Napolitano
- Format
- Books
- Language
- English
- Publication
-
- First edition
- Boca Raton, FL : CRC Press, 2018
- ©2018
- Physical Details
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- 1 online resource (xiv, 215 pages)
- ISBNs
- 9781315269481, 1315269481, 9781351979214, 1351979213, 9781138035096, 9781138486560, 1138486566, 9781138035096
- OCLC
- on1023837660
- Includes bibliographical references and index.
- 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