المصدر: A Mathematica Primer for Physicists (2018) في منتدى : قسم الفيزياء 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. DOWNLOAD : هذا المحتوى يظهر للاعضاء المسجلين فقط: هذا المحتوى يظهر للاعضاء المسجلين فقط:
