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author | Trupti Kini | 2016-06-17 23:30:26 +0600 |
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committer | Trupti Kini | 2016-06-17 23:30:26 +0600 |
commit | fbe366f4f4e49899794544dffa7f5974bee7f80d (patch) | |
tree | 26ff8b8810b9771810bc0097e995b92d92aa94d2 /Higher_Engineering_Mathematics_by_B._S._Grewal/chapter24_1.ipynb | |
parent | 64a90b1b4fe1e8c57650c8a4b32d76cb94adc085 (diff) | |
download | Python-Textbook-Companions-fbe366f4f4e49899794544dffa7f5974bee7f80d.tar.gz Python-Textbook-Companions-fbe366f4f4e49899794544dffa7f5974bee7f80d.tar.bz2 Python-Textbook-Companions-fbe366f4f4e49899794544dffa7f5974bee7f80d.zip |
Added(A)/Deleted(D) following books
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap10_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap11_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap12_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap13_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap16_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap17_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap18_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap19_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap20_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap21_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap22_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap23_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap24_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap25_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap26_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap27_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap28_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap29_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap30_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap31_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap32_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap33_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap34_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap3_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap5_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap7_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap8_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/Chap9_1.ipynb
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/screenshots/Ch28Capacitance_1.png
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/screenshots/Ch28OpFreq_1.png
A A_Textbook_of_Electronic_Circuits_by_R._S._Sedha/screenshots/Ch28VoltageGain_1.png
A Electronics_Circuits_and_Systems_by_Y._N._Bapat/README.txt
A Engineering_Mechanics_of_Solids_by_Popov_E_P/Chapter1_6.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter10_6.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter11_6.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter12_6.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter13_5.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter2_6.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter4_6.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter5_6.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter6_6.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter7_6.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter8_6.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter9_6.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/charpter_3_7.ipynb
A Engineering_Mechanics_of_Solids_by_Popov_E_P/screenshots/1_4.PNG
A Engineering_Mechanics_of_Solids_by_Popov_E_P/screenshots/2_4.PNG
A Engineering_Mechanics_of_Solids_by_Popov_E_P/screenshots/3_4.PNG
M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-27.ipynb
M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-27_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter10_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter13_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter1_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter21_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter22_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter23_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter24_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter26_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter27_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter28_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter2_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter34_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter35_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter4_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter5_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter6_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/chapter9_1.ipynb
A Higher_Engineering_Mathematics_by_B._S._Grewal/screenshots/screen1_1.png
A Higher_Engineering_Mathematics_by_B._S._Grewal/screenshots/screen2_1.png
A Higher_Engineering_Mathematics_by_B._S._Grewal/screenshots/screen3_1.png
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter10_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter11_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter13_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter14_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter15_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter17_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter18_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter19_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter1_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter21_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter22_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter23_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter25_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter26_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter3_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter4_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter5_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter6_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter7_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/Chapter9_1.ipynb
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/screenshots/Ch14PathOfAscent_1.png
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/screenshots/Ch14RandomNumberGenerator_1.png
A Numerical_Methods_For_Engineers_by_S._C._Chapra_And_R._P._Canale/screenshots/Ch26EulerMethod_1.png
A "sample_notebooks/GundlaKeerthi vani/J.B.Gupta_Chapter_6_(1).ipynb"
Diffstat (limited to 'Higher_Engineering_Mathematics_by_B._S._Grewal/chapter24_1.ipynb')
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diff --git a/Higher_Engineering_Mathematics_by_B._S._Grewal/chapter24_1.ipynb b/Higher_Engineering_Mathematics_by_B._S._Grewal/chapter24_1.ipynb new file mode 100644 index 00000000..9dd44a2c --- /dev/null +++ b/Higher_Engineering_Mathematics_by_B._S._Grewal/chapter24_1.ipynb @@ -0,0 +1,331 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 24: Numerical Methods" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Example 24.1, page no. 636" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Finding roots of this equation by bisection method\n", + "f(2) is -ve and f(3) is +ve so root lies between 2 and 3\n", + "The root is: 2.6875\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly([0])\n", + "p = x**3-4*x-9\n", + "print \"Finding roots of this equation by bisection method\"\n", + "print 'f(2) is -ve and f(3) is +ve so root lies between 2 and 3'\n", + "l = 2.\n", + "m = 3.\n", + "def f(x):\n", + " y = x**3-4*x-9\n", + " return y\n", + "for i in range(1,5):\n", + " k = 1.0/2.*(l+m)\n", + " if(f(k)<0):\n", + " l = k\n", + " else:\n", + " m = k\n", + "print \"The root is: \", k" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Example 24.3, page no. 638" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f(x)=xeˆx−cos(x)\n", + "We are required to find the roots of f(x) by the method of false position \n", + "f(0)=−ve and f(1)=+ve so s root lie between 0 and 1 \n", + "finding the roots by false position method \n", + "The root of the equation is :\n", + "0.517747878322\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "print \"f(x)=xeˆx−cos(x)\"\n", + "def f(x):\n", + " y = x*math.e**(x)-math.cos(x)\n", + " return y\n", + "print \"We are required to find the roots of f(x) by the method of false position \"\n", + "print \"f(0)=−ve and f(1)=+ve so s root lie between 0 and 1 \"\n", + "print \"finding the roots by false position method \"\n", + "l = 0.0\n", + "m = 1.0\n", + "for i in range(1,11):\n", + " k = l-(m-l)*f(l)/(f(m)-f(l))\n", + " if(f(k)<0):\n", + " l = k\n", + " else:\n", + " m = k\n", + "print \"The root of the equation is :\"\n", + "print k" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 24.4, page no. 638" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f(x) = x∗math.log(x)−1.2\n", + "We are required to find the roots of f(x) by the method of false position \n", + "f(2)=−ve and f(3)=+ve so s root lie between 2 and 3 \n", + "finding the roots by false position method \n", + "The root of the equation is : 2.74063625664\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "print \"f(x) = x∗math.log(x)−1.2\"\n", + "def f(x):\n", + " y = x*math.log10(x)-1.2\n", + " return y\n", + "print \"We are required to find the roots of f(x) by the method of false position \"\n", + "print \"f(2)=−ve and f(3)=+ve so s root lie between 2 and 3 \"\n", + "print \"finding the roots by false position method \"\n", + "l = 2.\n", + "m = 3.\n", + "for i in range(1,4):\n", + " k = l-(m-l)*f(l)/(f(m)-f(l))\n", + " if(f(k)<0):\n", + " l = k\n", + " else:\n", + " m = k\n", + "print \"The root of the equation is : \",k" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 24.5, page no. 639" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "To find the roots of f(x) = 3x−cos(x)−1 by newtons method \n", + "f(0)=−ve and f(1) is +ve so a root lies between 0 and 1 \n", + "Let us take x0 =0.6 as the root is closer to 1 \n", + "Root is given by r=x0−f(xn)/der(f(xn))\n", + "Approximated root in each steps are \n", + "0.607290551153\n", + "0.607096741973\n", + "0.607101775605\n" + ] + } + ], + "source": [ + "import math,numpy\n", + "from scipy.misc import derivative\n", + "\n", + "print \"To find the roots of f(x) = 3x−cos(x)−1 by newtons method \"\n", + "print \"f(0)=−ve and f(1) is +ve so a root lies between 0 and 1 \"\n", + "l = 0\n", + "m = 1\n", + "def f(x):\n", + " y = 3*x-math.cos(x)-1\n", + " return y\n", + "x0 = 0.6\n", + "print \"Let us take x0 =0.6 as the root is closer to 1 \"\n", + "print \"Root is given by r=x0−f(xn)/der(f(xn))\"\n", + "print \"Approximated root in each steps are \"\n", + "for i in range(1,4):\n", + " k = x0-f(x0)/derivative(f,x0)\n", + " print k\n", + " x0 = k" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 24.6, page no. 640" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "To find square root of 28 by newtons method let x=sqrt(28) ie xˆ2−28=0 \n", + "To find the roots by newtons method\n", + "f(5)=−ve and f(6) is +ve so a root lies between 5 and 6 \n", + "Let us take x0 = 5.5 \n", + "Root is given by rn=xn−f(xn)/der(f(xn))\n", + "Approximated root in each steps are\n", + "5.29545454545\n", + "5.29150409676\n", + "5.29150262213\n", + "5.29150262213\n" + ] + } + ], + "source": [ + "from scipy.misc import derivative\n", + "\n", + "print \"To find square root of 28 by newtons method let x=sqrt(28) ie xˆ2−28=0 \"\n", + "def f(x):\n", + " y = x**2-28\n", + " return y\n", + "print \"To find the roots by newtons method\"\n", + "print \"f(5)=−ve and f(6) is +ve so a root lies between 5 and 6 \"\n", + "l = 5\n", + "m = 6\n", + "print \"Let us take x0 = 5.5 \"\n", + "print \"Root is given by rn=xn−f(xn)/der(f(xn))\"\n", + "print \"Approximated root in each steps are\"\n", + "x0 = 5.5\n", + "for i in range(1,5):\n", + " k = x0-f(x0)/derivative(f,x0)\n", + " print k\n", + " x0 = k" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 24.7, page no. 641" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "To find square root of 28 by newtons method let x=sqrt(28) ie xˆ2−28=0 \n", + "To find the roots by newtons method\n", + "f(5)=−ve and f(6) is +ve so a root lies between 5 and 6 \n", + "Let us take x0 = 5.5 \n", + "Root is given by rn=xn−f(xn)/der(f(xn))\n", + "Approximated root in each steps are\n", + "5.29545454545\n", + "5.29150409676\n", + "5.29150262213\n", + "5.29150262213\n" + ] + } + ], + "source": [ + "from scipy.misc import derivative\n", + "\n", + "print \"To find square root of 28 by newtons method let x=sqrt(28) ie xˆ2−28=0 \"\n", + "def f(x):\n", + " y = x**2-28\n", + " return y\n", + "print \"To find the roots by newtons method\"\n", + "print \"f(5)=−ve and f(6) is +ve so a root lies between 5 and 6 \"\n", + "l = 5\n", + "m = 6\n", + "print \"Let us take x0 = 5.5 \"\n", + "print \"Root is given by rn=xn−f(xn)/der(f(xn))\"\n", + "print \"Approximated root in each steps are\"\n", + "x0 = 5.5\n", + "for i in range(1,5):\n", + " k = x0-f(x0)/derivative(f,x0)\n", + " print k\n", + " x0 = k" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |