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E-raamat: Mathematica Primer for Physicists [Taylor & Francis e-raamat]

(Temple University, Pennsylvania, USA)
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  • Taylor & Francis e-raamat
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Mathematica Primer for PhysicistsSuurem pilt
Teised raamatud teemal:
Taylor & Francis e-raamatudRohkem infot Taylor & Francis e-raamatute kohta
Raamatu kodulehekülg: https://www.taylorfrancis.com/books/9781315269481
"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 theyre 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 style





Presents important concepts within the framework of Mathematics





Gives examples from frequently encountered physics problems





Explains problem-solving in a step-by-step fashion

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.
Chapter 1 Introduction
1(14)
1.1 Getting Started
2(1)
1.2 Built-In Objects
3(1)
1.3 Functions
4(1)
1.4 Simple Plotting
5(2)
1.5 Good Habits for Writing Notebooks
7(1)
1.6 Physics Example
8(2)
1.7 Getting Help
10(1)
1.8
Chapter Summary
11(4)
Chapter 2 Solving Algebraic Equations
15(16)
2.1 Syntax for Equations and Solutions
16(1)
2.2 List Manipulations
17(1)
2.3 Systems of Equations
18(1)
2.4 Complex Numbers
19(2)
2.5 Physics Examples
21(4)
2.6
Chapter Summary
25(6)
Chapter 3 Derivatives, Integrals, and Series
31(12)
3.1 Derivatives
32(1)
3.2 Indefinite Integrals
33(1)
3.3 Definite Integrals
34(1)
3.4 Numerical Integration
34(1)
3.5 Power Series
35(1)
3.6 Physics Examples
35(5)
3.7
Chapter Summary
40(3)
Chapter 4 Differential Equations: Analytic Solutions
43(16)
4.1 First Order Ordinary Differential Equations
44(2)
4.2 Second Order Ordinary Differential Equations
46(1)
4.3 Simultaneous Differential Equations
46(1)
4.4 Partial Differential Equations
47(1)
4.5 Physics Examples
48(8)
4.6
Chapter Summary
56(3)
Chapter 5 Differential Equations: Numerical Solutions
59(12)
5.1 Ordinary Differential Equations
60(1)
5.2 Partial Differential Equations
61(2)
5.3 Plotting In Three Dimensions
63(1)
5.4 Physics Examples
64(5)
5.5
Chapter Summary
69(2)
Chapter 6 Vectors and Matrices
71(16)
6.1 Vectors and Matrices As Lists
72(1)
6.2 Logical Expressions and Operations
73(1)
6.3 Vector Operations
74(1)
6.4 Matrix Operations
75(1)
6.5 Eigenvalue Problems
76(2)
6.6 Physics Examples
78(6)
6.7
Chapter Summary
84(3)
Chapter 7 Basic Data Analysis
87(14)
7.1 Numbers In Lists
88(3)
7.2 Selecting Data Segments
91(1)
7.3 Reading Data From A File
92(1)
7.4 Making Histograms
93(1)
7.5 Physics Example
94(3)
7.6
Chapter Summary
97(4)
Chapter 8 Fitting Data to Models
101(20)
8.1 Linear Fitting
102(2)
8.2 Nonlinear Fitting
104(2)
8.3 Handling Data With Error Bars
106(5)
8.4 Physics Example
111(6)
8.5
Chapter Summary
117(4)
Chapter 9 Numerical Manipulations
121(14)
9.1 Significant Figures
122(1)
9.2 Numerical Solutions To Algebraic Equations
123(1)
9.3 Working With Units
124(2)
9.4 Access To Databases
126(1)
9.5 Physics Examples
127(6)
9.6
Chapter Summary
133(2)
Chapter 10 Random Numbers
135(18)
10.1 Generating Random Numbers
136(1)
10.2 Monte Carlo Techniques
136(2)
10.3 Probability Distributions
138(6)
10.4 Physics Example
144(4)
10.5
Chapter Summary
148(5)
Chapter 11 Animation
153(16)
11.1 Scoping
154(1)
11.2 Plots In Motion
155(2)
11.3 Drawing Geometric Shapes
157(1)
11.4 Cartoon Animation
158(1)
11.5 Physics Examples
159(8)
11.6
Chapter Summary
167(2)
Chapter 12 Advanced Plotting and Visualization
169(20)
12.1 Options for 2D Plots
170(2)
12.2 Options for 3D Plots
172(2)
12.3 Contour and Density Plots
174(3)
12.4 Vector Differential Calculus
177(2)
12.5 Visualizing Vector Fields
179(4)
12.6 Physics Examples
183(4)
12.7
Chapter Summary
187(2)
Appendix A Additional Exercises 189(8)
Appendix B Shorthands 197(2)
Index 199
Jim Napolitano is Professor of Physics at Temple University. His undergraduate degree is in Physics from Rensselaer Polytechnic Institute, and he earned his PhD in Physics at Stanford University. For the first ten years of his career, he was on the staffs at Argonne National Laboratory and Jefferson Laboratory, but has been a Physics faculty member at Rensselaer and Temple for more than 25 years.

Professor Napolitano has taught courses at all level, from introductory physics, to intermediate and upper level theoretical and experimental physics, and graduate quantum mechanics. His research field is Experimental Nuclear Physics, and has published many papers in the Physical Review, Physical Review Letters, and other journals. In 2016 he shared the Fundamental Physics Breakthrough Prize with his collaborators on the Daya Bay Reactor Neutrino Experiment. He was elected a Fellow of the American Physical Society in the Division of Nuclear Physics in 2011, is a member of the Physical Review C Editorial Board, and serves on or chairs several review panels in the field of Nuclear and High Energy Physics.
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