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A Mathematica Primer for Physicists (2018)

الموضوع في 'قسم الفيزياء' بواسطة Elmajbery, بتاريخ ‏سبتمبر 24, 2019.

  1. Elmajbery

    Elmajbery Well-Known Member

    إنضم إلينا في:
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    الوظيفة:
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    [​IMG]

    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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  3. Elmajbery

    Elmajbery Well-Known Member

    إنضم إلينا في:
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    المشاركات:
    879
    الإعجابات المتلقاة:
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    108
    الوظيفة:
    أستاذ جامعى - دكتوراه
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