Merge pull request #87 from Trienko/master

Chapter 2 edits added to master
ratt-ru · Feb 17, 2017 · afee38e · afee38e
2 parents db8603f + e584df3
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diff --git a/2_Mathematical_Groundwork/2_0_introduction.ipynb b/2_Mathematical_Groundwork/2_0_introduction.ipynb
@@ -48,18 +48,20 @@
     "2. [Important functions](2_2_important_functions.ipynb)\n",
     "    1. [Gaussian function](2_2_important_functions.ipynb#math:sec:gaussian_function)\n",
     "    2. [Sinc function](2_2_important_functions.ipynb#math:sec:sync_function)\n",
-    "    3. [Heaviside function](2_2_important_functions.ipynb#math:sec:dirac_delta_function)\n",
+    "    3. [Heaviside function](2_2_important_functions.ipynb#math:sec:heaviside_function)\n",
     "    4. [Dirac delta function](2_2_important_functions.ipynb#math:sec:dirac_delta_function)\n",
     "    5. [Shah function](2_2_important_functions.ipynb#math:sec:shah_function)\n",
     "    6. [Boxcar and rectangle function](2_2_important_functions.ipynb#math:sec:boxcar_and_rectangle_function)\n",
     "3. [Fourier Series](2_3_fourier_series.ipynb)\n",
+    "    1. [Definition](2_3_fourier_series.ipynb#math:sec:fourier_series_definition)\n",
+    "    2. [Example](2_3_fourier_series.ipynb#math:sec:fourier_series_example)\n",
     "4. [The Fourier Transform](2_4_the_fourier_transform.ipynb)\n",
-    "    1. [Definition of the Fourier transform](2_4_the_fourier_transform.ipynb#math:sec:definition_of_the_fourier_transform)\n",
+    "    1. [Definition of the Fourier transform and its inversion](2_4_the_fourier_transform.ipynb#math:sec:definition_of_the_fourier_transform)\n",
     "    2. [Fourier transform of the Gaussian](2_4_the_fourier_transform.ipynb#math:sec:fourier_transform_of_the_gaussian)\n",
     "    3. [Fourier transform of Dirac's delta function](2_4_the_fourier_transform.ipynb#math:sec:fourier_transform_of_diracs_delta_function)\n",
     "    4. [Fourier transform of the comb function](2_4_the_fourier_transform.ipynb#math:sec:fourier_transform_of_the_comb_function)\n",
-    "    5. [Fourier transform of the rectangle function](2_4_the_fourier_transform.ipynb#math:sec:fourier_transform_of_the_rectangle_and_the_sinc_function)\n",
-    "    6. [Fourier transforms of real_valued_and_hermetian_functions](2_4_the_fourier_transform.ipynb#math:sec:fourier_transforms_of_real_valued_and_hermetian_functions)\n",
+    "    5. [Fourier transform of the rectangle and the sinc function](2_4_the_fourier_transform.ipynb#math:sec:fourier_transform_of_the_rectangle_and_the_sinc_function)\n",
+    "    6. [Fourier transforms of real valued and hermetian functions](2_4_the_fourier_transform.ipynb#math:sec:fourier_transforms_of_real_valued_and_hermetian_functions)\n",
     "    7. [Fourier transforms of complex conjugate functions](2_4_the_fourier_transform.ipynb#math:sec:fourier_transforms_of_complex_conjugate_functions)\n",
     "5. [Convolution](2_5_convolution.ipynb)\n",
     "    1. [Definition of the convolution](2_5_convolution.ipynb#math:sec:definition_of_the_convolution)\n",
@@ -80,15 +82,20 @@
     "    9. [Auto-correlation theorem (Wiener-Khinchin theorem)](2_7_fourier_theorems.ipynb#math:sec:auto_correlation_theorem_wiener_khinchin_theorem)\n",
     "    10. [Derivative theorem](2_7_fourier_theorems.ipynb#math:sec:derivative_theorem)\n",
     "8. [The Discrete Fourier transform](2_8_the_discrete_fourier_transform.ipynb)\n",
-    "    1. [The Discrete Fourier transform: definition](2_8_the_discrete_fourier_transform.ipynb#math:sec:the_discrete_fourier_transform_definition)\n",
-    "    2. [The Discrete convolution: definition and discrete convolution theorem](2_8_the_discrete_fourier_transform.ipynb#math:sec:the_discrete_convolution_definition_and_discrete_convolution_theorem)\n",
-    "    3. [The Discrete Fourier transform as coefficients for the Fourier transform of a sampled function](2_8_the_discrete_fourier_transform.ipynb#math:sec:the_discrete_fourier_transform_as_coefficients_for)\n",
-    "    4. [Fast Fourier transforms](2_8_the_discrete_fourier_transform.ipynb#math:sec:fast_fourier_tranforms)\n",
+    "    1. [The Discrete Time Fourier transform (DTFE): definition](2_8_the_discrete_fourier_transform.ipynb#math:sec:the_discrete_time_fourier_transform_definition)\n",
+    "    2. [The Discrete Fourier transform (DFT): definition](2_8_the_discrete_fourier_transform.ipynb#math:sec:the_discrete_fourier_transform_definition)\n",
+    "    3. [The Discrete convolution: definition and discrete convolution theorem](2_8_the_discrete_fourier_transform.ipynb#math:sec:the_discrete_convolution_definition_and_discrete_convolution_theorem)\n",
+    "    4. [Numerically Implementing the DFT](2_8_the_discrete_fourier_transform.ipynb#math:sec:numerical_DFT)\n",
+    "    5. [Fast Fourier transforms](2_8_the_discrete_fourier_transform.ipynb#math:sec:fast_fourier_tranforms)\n",
     "9. [Sampling theory](2_9_sampling_theory.ipynb) \n",
-    "    1. [Nyquist's sampling theorem](2_9_sampling_theory.ipynb#math:sec:nyquists_sampling_theorem)\n",
-    "    2. [Limited sampling](2_9_sampling_theory.ipynb#math:sec:limited_sampling)\n",
-    "    3. [Examples for aliasing and limited sampling](2_9_sampling_theory.ipynb#math:sec:examples_for_aliasing_and_limited_sampling)\n",
+    "    1. [Sampling a continuous function](2_9_sampling_theory.ipynb#math:sec:sampling_continuous_function)\n",
+    "    2. [Nyquist-Shannon Sampling Theorem](2_9_sampling_theory.ipynb#math:sec:nyquists_sampling_theorem)\n",
+    "    3. [Aliasing](2_9_sampling_theory.ipynb#math:sec:aliasing)\n",
     "10. [Linear Algrebra](2_10_linear_algebra.ipynb)\n",
+    "    1. [Vectors](2_10_linear_algebra.ipynb#math:sec:alg_vectors)\n",
+    "    2. [Matrices](2_10_linear_algebra.ipynb#math:sec:lin_alg_matrices)\n",
+    "    3. [Linear Systems](2_10_linear_algebra.ipynb#math:sec:lin_alg_lin_sys)\n",
+    "    4. [Convolution and Toeplitz matrices](2_10_linear_algebra.ipynb#math:lin_alg:conv_toeplitz)\n",
     "11. [Least-squares Minimization](2_11_least_squares.ipynb)\n",
     "12. [Solid Angle](2_12_solid_angle.ipynb)\n",
     "13. [Spherical Trigonometry](2_13_spherical_trigonometry.ipynb)\n",
@@ -101,9 +108,10 @@
    "source": [
     "#### Chapter Editors\n",
     "\n",
-    "* Landman Bester\n",
-    "* Jonathan Kenyon\n",
-    "* UA Mbou Sob\n",
+    "* Landman Bester (2016)\n",
+    "* Jonathan Kenyon (2016)\n",
+    "* UA Mbou Sob (2016)\n",
+    "* Benjamin Hugo (2017)\n",
     "\n",
     "#### Chapter Contributors\n",
     "\n",
@@ -114,17 +122,21 @@
     "\n",
     "#### Format status:\n",
     "\n",
-    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : LF: Date\n",
-    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : NC: Date\n",
-    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : RF: Date\n",
-    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : HF: Date\n",
-    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : GM: Date\n",
-    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : CC: Date\n",
-    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : CL: Date\n",
-    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : ST: Date\n",
-    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : FN: Date\n",
-    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : TC: Date\n",
-    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : XX: Date"
+    "* <span style=\"background-color:green\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : LF: 7 February 2017\n",
+    "* <span style=\"background-color:green\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : NC: 10 February 2017\n",
+    "* <span style=\"background-color:yellow\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : RF: 10 February 2017\n",
+    "* <span style=\"background-color:green\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : HF: 10 February 2017\n",
+    "* <span style=\"background-color:yellow\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : GM: 10 February 2017\n",
+    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : CC: 10 February 2017 (missing conclusion)\n",
+    "* <span style=\"background-color:green\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : CL: 10 February 2017\n",
+    "* <span style=\"background-color:yellow\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : ST: 10 February 2017 styling sparcely used, but used correctly\n",
+    "* <span style=\"background-color:green\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : FN: 10 February 2017\n",
+    "* <span style=\"background-color:yellow\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : TC: 10 February 2017\n",
+    "* <span style=\"background-color:red\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : SP: Unchecked\n",
+    "* <span style=\"background-color:green\">&nbsp;&nbsp;&nbsp;&nbsp;</span> : XX: 10 February 2017\n",
+    "\n",
+    "Editors notes:\n",
+    "Did not edit above 2.10. Please assign another editor."
    ]
   },
   {
@@ -163,7 +175,7 @@
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