The Mathematical Beauty that led to Quantum Physics.part2.rar

Math for programmers video edition:

1 - Chapter 1. Learning math with code.mp4
10 - Chapter 2. Subtraction, displacement, and distance.mp4
100 - Chapter 14. Exploring spaces of functions.mp4
101 - Chapter 14. Finding the line of best fit using gradient descent.mp4
102 - Chapter 14. Fitting a nonlinear function.mp4
103 - Chapter 15. Classifying data with logistic regression.mp4
104 - Chapter 15. Testing a classification function on real data.mp4
105 - Chapter 15. Picturing a decision boundary.mp4
106 - Chapter 15. Framing classification as a regression problem.mp4
107 - Chapter 15. Introducing the sigmoid function.mp4
108 - Chapter 15. Exploring possible logistic functions.mp4
109 - Chapter 15. Measuring the quality of fit for a logistic function.mp4
11 - Chapter 2. Angles and trigonometry in the plane.mp4
110 - Chapter 15. Finding the best logistic function.mp4
111 - Chapter 15. Testing and understanding the best logistic classifier.mp4
112 - Chapter 16. Training neural networks.mp4
113 - Chapter 16. Classifying images of handwritten digits.mp4
114 - Chapter 16. Designing a neural network.mp4
115 - Chapter 16. Calculating activations.mp4
116 - Chapter 16. Building a neural network in Python.mp4
117 - Chapter 16. Training a neural network using gradient descent.mp4
118 - Chapter 16. Automatic training with scikit-learn.mp4
119 - Chapter 16. Calculating gradients with backpropagation.mp4
12 - Chapter 2. From components back to angles.mp4
120 - Appendix B. Python tips and tricks.mp4
121 - Appendix B. Collections of data in Python.mp4
122 - Appendix B. Generators.mp4
123 - Appendix B. Working with functions.mp4
124 - Appendix B. Plotting data with Matplotlib.mp4
125 - Appendix B. Object-oriented programming in Python.mp4
126 - Appendix B. Operator overloading.mp4
13 - Chapter 2. Transforming collections of vectors.mp4
14 - Chapter 3. Ascending to the 3D world.mp4
15 - Chapter 3. Vector arithmetic in 3D.mp4
16 - Chapter 3. Computing angles and directions.mp4
17 - Chapter 3. The dot product - Measuring vector alignment.mp4
18 - Chapter 3. Measuring angles with the dot product.mp4
19 - Chapter 3. The cross product - Measuring oriented area.mp4
2 - Chapter 1. Finding a good deal.mp4
20 - Chapter 3. Finding the length of the cross product.mp4
21 - Chapter 3. Rendering a 3D object in 2D.mp4
22 - Chapter 4. Transforming vectors and graphics.mp4
23 - Chapter 4. Composing vector transformations.mp4
24 - Chapter 4. Rotating an object about an axis.mp4
25 - Chapter 4. Linear transformations.mp4
26 - Chapter 4. Why linear transformations.mp4
27 - Chapter 4. Exercises.mp4
28 - Chapter 5. Computing transformations with matrices.mp4
29 - Chapter 5. Multiplying a matrix with a vector.mp4
3 - Chapter 1. Modeling the physical world.mp4
30 - Chapter 5. Implementing matrix multiplication.mp4
31 - Chapter 5. Interpreting matrices of different shapes.mp4
32 - Chapter 5. Viewing square and non-square matrices as vector functions.mp4
33 - Chapter 5. Composing linear maps.mp4
34 - Chapter 5. Translating vectors with matrices.mp4
35 - Chapter 5. Translating 3D objects in a 4D world.mp4
37 - Chapter 6. Improving the Vec2 class.mp4
38 - Chapter 6. Building a vector base class.mp4
39 - Chapter 6. Unit testing vector space classes.mp4
4 - Chapter 1. How not to learn math.mp4
40 - Chapter 6. Exploring different vector spaces.mp4
41 - Chapter 6. Treating functions as vectors.mp4
42 - Chapter 6. Manipulating images with vector operations.mp4
43 - Chapter 6. Looking for smaller vector spaces.mp4
44 - Chapter 6. Spanning a bigger space.mp4
45 - Chapter 6. Finding subspaces of the vector space of functions.mp4
46 - Chapter 6. Exercises.mp4
47 - Chapter 7. Solving systems of linear equations.mp4
48 - Chapter 7. Finding intersection points of lines.mp4
49 - Chapter 7. Linear equations in matrix notation.mp4
5 - Chapter 1. Using your well-trained left brain.mp4
50 - Chapter 7. Identifying unsolvable systems.mp4
51 - Chapter 7. Generalizing linear equations to higher dimensions.mp4
52 - Chapter 7. Studying hyperplanes algebraically.mp4
53 - Chapter 7. Exercises.mp4
54 - Chapter 7. Changing basis by solving linear equations.mp4
55 - Part 2. Calculus and physical simulation.mp4
56 - Chapter 8. Understanding rates of change.mp4
57 - Chapter 8. Plotting the average flow rate over time.mp4
58 - Chapter 8. Approximating instantaneous flow rates.mp4
59 - Chapter 8. Approximating the change in volume.mp4
6 - Part 1. Vectors and graphics.mp4
60 - Chapter 8. Plotting the volume over time.mp4
61 - Chapter 8. Improving the approximation.mp4
62 - Chapter 9. Simulating moving objects.mp4
63 - Chapter 9. Simulating acceleration.mp4
64 - Chapter 9. Digging deeper into Euler’s method.mp4
65 - Chapter 9. Running Euler’s method with smaller time steps.mp4
66 - Chapter 10. Working with symbolic expressions.mp4
67 - Chapter 10. Modeling algebraic expressions.mp4
68 - Chapter 10. Putting a symbolic expression to work.mp4
69 - Chapter 10. Expanding an expression.mp4
7 - Chapter 2. Drawing with 2D vectors.mp4
70 - Chapter 10. Finding the derivative of a function.mp4
71 - Chapter 10. Derivatives of some special functions.mp4
72 - Chapter 10. Taking derivatives automatically.mp4
73 - Chapter 10. Integrating functions symbolically.mp4
74 - Chapter 11. Simulating force fields.mp4
75 - Chapter 11. Modeling gravitational fields.mp4
76 - Chapter 11. Adding gravity to the asteroid game.mp4
77 - Chapter 11. Introducing potential energy.mp4
78 - Chapter 11. Connecting energy and forces with the gradient.mp4
79 - Chapter 11. Finding the steepness of a graph with the gradient.mp4
8 - Chapter 2. 2D drawing in Python.mp4
80 - Chapter 12. Optimizing a physical system.mp4
81 - Chapter 12. Testing a projectile simulation.mp4
82 - Chapter 12. Calculating the optimal range.mp4
83 - Chapter 12. Solving for the maximum range.mp4
84 - Chapter 12. Enhancing our simulation.mp4
85 - Chapter 12. Solving for the range of the projectile in 3D.mp4
86 - Chapter 12. Optimizing range using gradient ascent.mp4
87 - Chapter 12. Implementing gradient ascent.mp4
88 - Chapter 13. Analyzing sound waves with a Fourier series.mp4
89 - Chapter 13. Playing sound waves in Python.mp4
9 - Chapter 2. Plane vector arithmetic.mp4
90 - Chapter 13. Turning a sinusoidal wave into a sound.mp4
91 - Chapter 13. Combining sound waves to make new ones.mp4
92 - Chapter 13. Building a linear combination of sinusoids.mp4
93 - Chapter 13. Decomposing a sound wave into its Fourier series.mp4
94 - Chapter 13. Defining an inner product for periodic functions.mp4
95 - Chapter 13. Fourier coefficients for other waveforms.mp4
96 - Part 3. Machine learning applications.mp4
97 - Chapter 14. Fitting functions to data.mp4
98 - Chapter 14. Measuring the quality of fit for a function.mp4
99 - Chapter 14. Calculating cost for car price functions.mp4


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Partial Differential Equations (Poisson, Laplace, heat eq.)


01 Fourier Transform and its inverse\
02 Solution of a PDE equation\
03 Some more physics behind the pde\
04 2nd order ODE solved via Fourier Transform\
05 Heat equation solution via Separation of Variables\
06 Laplace Equation solved via the method of Separation of Variables\
07 Nonhomogeneous Heat Equation\
08 Wave Equation (Exercises)\
09 Bi-dimensional problems (heat and wave equation)\
10 Appendix\


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The Mathematical Beauty that led to Quantum Physics:



01 Introduction\
02 Analysis of blackbody cavities\
03 Quantization_ Systems of Particles\
04 Derivation of the Average Energy per Mode\
05 Derivation of the Stefan-Boltzman Law\

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