Added(A)/Deleted(D) following books

 A  Basic_mechanical_engineering_by_Basant_Agrawal_,_C.M_Agrawal/README.txt
A  Numerical_Methods_by_E._Balaguruswamy/chapter10.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/chapter11.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/chapter12.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/chapter13.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/chapter14.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/chapter15.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/chapter3.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/chapter4.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/chapter6.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/chapter7.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/chapter8.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/chapter9.ipynb
A  Numerical_Methods_by_E._Balaguruswamy/screenshots/greatest-precision-4.png
A  Numerical_Methods_by_E._Balaguruswamy/screenshots/rounding-off-4.png
A  Numerical_Methods_by_E._Balaguruswamy/screenshots/truncation-error-4.png
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_4JhcI7F.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_5CfOfQx.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_B30VPml.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_BE8QjoS.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_Gb015bo.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_KQ8ycMr.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_LIZWeY4.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_Opo6g3L.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_Pq40WOu.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_QLXi0uM.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_TdOIeIQ.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_UiM06tF.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_VQabJzR.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_XKPPUxj.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_dfFlLnm.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_fegIkl6.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_g1GxlUN.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_gGvuusH.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_gZeNd4b.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_khAt4Y6.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_oJQM5Mb.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_p22tFeA.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_qNHcrb8.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_qeUxd0G.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_r0nfWNs.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_uWQUwaW.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_vkMAnbH.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_wP2wGMS.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_x09tDSO.ipynb
A  Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/C_yCW2orc.ipynb

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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Chapter 10 - Curve fitting regression"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Example No. 10_01 Pg No. 326"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "b =  [-1 -1  0  0  1]\n",
+      "a =  [ 3  3  1  1 -2]\n",
+      "y= [-x + 3 -x + 3 1 1 x - 2]\n"
+     ]
+    }
+   ],
+   "source": [
+    "from numpy import array\n",
+    "from sympy.abc import x\n",
+    "#Fitting a Straight Line\n",
+    "\n",
+    "X = range(1,6)\n",
+    "Y = array([[ 3, 4, 5 ,6 ,8 ]])\n",
+    "n = len(X)#\n",
+    "X=array(X)\n",
+    "b = ( n*sum(X*Y) - sum(X)*sum(Y) )/( n*sum(X*X) - (sum(X))**2 )\n",
+    "a = sum(Y)/n - b*sum(X)/n\n",
+    "print 'b = ',b\n",
+    "print 'a = ',a\n",
+    "y = a + b*x\n",
+    "print 'y=',y"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Example No. 10_02 Pg No. 331"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "b =  2.0\n",
+      "lna =  -0.69314718056\n",
+      "a =  0.5\n",
+      "\n",
+      " The power function equation obtained is \n",
+      " y = 0.5x**2\n"
+     ]
+    }
+   ],
+   "source": [
+    "from numpy import array,log,exp\n",
+    "from sympy.abc import x\n",
+    "\n",
+    "#Fitting a Power-Function model to given data\n",
+    "\n",
+    "X = array(range(1,6))\n",
+    "Y = [ 0.5, 2 ,4.5 ,8 ,12.5 ]\n",
+    "Xnew = log(X)\n",
+    "Ynew = log(Y)\n",
+    "n = len(Xnew)\n",
+    "b = ( n*sum(Xnew*Ynew) - sum(Xnew)*sum(Ynew) )/( n*sum(Xnew*Xnew) - ( sum(Xnew) )**2 )\n",
+    "lna = sum(Ynew)/n - b*sum(Xnew)/n\n",
+    "a = exp(lna)\n",
+    "print 'b = ',b\n",
+    "print 'lna = ',lna\n",
+    "print 'a = ',a\n",
+    "print '\\n The power function equation obtained is \\n y = %.4Gx**%.4G'%(a,b)#"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Example No. 10_03 Pg No. 332"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "b =  37.6294062985\n",
+      "a =  20.9234245534\n",
+      "The relationship between T and t is \n",
+      "T = 37.63*e**(t/4) + 20.92 \n",
+      "\n",
+      "The temperature at t = 6 is 189.566723485\n"
+     ]
+    }
+   ],
+   "source": [
+    "from numpy import array,log,exp\n",
+    "time = array(range(1,5))\n",
+    "T = [ 70 ,83 ,100 ,124 ]\n",
+    "t = 6\n",
+    "Fx = exp(time/4.0)\n",
+    "n = len(Fx)\n",
+    "Y = T #\n",
+    "b = ( n*sum(Fx*Y) - sum(Fx)*sum(Y) )/( n*sum(Fx*Fx) - (sum(Fx))**2 )\n",
+    "a = sum(Y)/n - b*sum(Fx)/n\n",
+    "print 'b = ',b\n",
+    "print 'a = ',a\n",
+    "print 'The relationship between T and t is \\nT = %.4G*e**(t/4) + %.4G \\n'%(b,a)\n",
+    "#deff('T = T(t)'%('T = b*exp(t/4) + a '\n",
+    "def T(t):\n",
+    "    tt=b*exp(t/4.0)+a\n",
+    "    return tt\n",
+    "                 \n",
+    "T_6 = T(6)\n",
+    "print 'The temperature at t = 6 is',T_6"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Example No. 10_04 Pg NO. 335"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Using CA = B form , we get\n",
+      "B [   6.   62.  190.]\n",
+      "C [[  1.   1.   4.]\n",
+      " [  1.   4.  10.]\n",
+      " [  4.  10.  30.]]\n",
+      "A =  [[  20.          103.33333333 -190.        ]\n",
+      " [  10.          144.66666667 -190.        ]\n",
+      " [  -6.          -62.           95.        ]]\n",
+      "Therefore the least sqaures polynomial is\n",
+      "   y = 1J + 1J*x + 1J*x**2 \n",
+      "[  20.          103.33333333 -190.        ]\n",
+      "[  10.          144.66666667 -190.        ]\n",
+      "[ -6. -62.  95.]\n"
+     ]
+    }
+   ],
+   "source": [
+    "from numpy import array,ones,identity\n",
+    "from numpy.linalg import inv\n",
+    "\n",
+    "#Curve Fitting\n",
+    "\n",
+    "x = array(range(1,5))\n",
+    "y = [6, 11, 18, 27 ]\n",
+    "n = len(x) #Number of data points\n",
+    "m = 2+1       #Number of unknowns\n",
+    "print 'Using CA = B form , we get'\n",
+    "C=identity(m)\n",
+    "B=ones(m)\n",
+    "for j in range(0,m):\n",
+    "    for k in range(0,m):\n",
+    "        C[j,k] = sum(x**(j+k-2))\n",
+    "    \n",
+    "    B[j] = sum( y*( x**( j-1 ) ) )\n",
+    "\n",
+    "print 'B',B\n",
+    "print 'C',C\n",
+    "A = inv(C)*B\n",
+    "print 'A = ',A\n",
+    "print 'Therefore the least sqaures polynomial is\\n   y = 1J + 1J*x + 1J*x**2 \\n',(A[0])\n",
+    "print A[1]\n",
+    "print A[2]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Example No. 10_05 Pg No. 342"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "C=\n",
+      "[[  4.  10.   6.]\n",
+      " [ 10.  30.  20.]\n",
+      " [  6.  20.  14.]]\n",
+      "B=\n",
+      "[  84.  240.  156.]\n",
+      "\n",
+      " The regression plane is \n",
+      " y = 5 + 6*x + 0*z \n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "from numpy import array,ones,identity,arange,vstack,transpose\n",
+    "from scipy.sparse.linalg import lsqr\n",
+    "#Plane Fitting\n",
+    "\n",
+    "x = range(1,5)\n",
+    "z = range(0,4)\n",
+    "y = arange(12,31,6)\n",
+    "n = len(x) #Number of data points\n",
+    "m = 3         #Number of unknowns\n",
+    "G = vstack([ones(n),x,z])\n",
+    "H = transpose(G)\n",
+    "C = G.dot(H)\n",
+    "B = y.dot(H)\n",
+    "D = lsqr(C,B)\n",
+    "print 'C=\\n',C\n",
+    "print 'B=\\n',B\n",
+    "print '\\n The regression plane is \\n y = %d + %.f*x + %d*z \\n'%(D[0][0],D[0][1],D[0][2])\n"
+   ]
+  }
+ ],
+ "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": "2.7.9"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}