Numerical methods. Fundamentals and applications

✍ Scribed by Gupta, Rajesh Kumar

• Publisher: Cambridge University Press
• Year: 2019
• Tongue: English
• Leaves: 830
• Category: Library

✦ Table of Contents

Cover......Page 1
Front Matter......Page 3
Numerical Methods:Fundamentals and Applications......Page 5
Copyright......Page 6
Dedication......Page 7
Contents......Page 9
Preface......Page 19
Acknowledgments......Page 31
1 Number Systems......Page 33
2 Error Analysis......Page 45
3 Nonlinear Equations......Page 79
4 Nonlinear Systems andPolynomial Equations......Page 156
5 Systems of Linear Equations......Page 205
6 Eigenvalues and Eigenvectors......Page 300
7 Eigenvalues and Eigenvectorsof Real Symmetric Matrices......Page 331
8 Interpolation......Page 363
9 Finite Operators......Page 396
10 Interpolation for Equal Intervalsand Bivariate Interpolation......Page 421
11 Splines, Curve Fitting, andOther Approximating Curves......Page 477
12 Numerical Differentiation......Page 527
13 Numerical Integration......Page 541
14 First Order OrdinaryDifferential Equations:Initial Value Problems......Page 608
15 Systems of First Order ODEsand Higher Order ODEs: Initialand Boundary Value Problems......Page 674
16 Partial Differential Equations:Finite Difference Methods......Page 711
AppendixA. Comparison of Analytical and Numerical Techniques......Page 811
AppendixB. Numerical Techniques and Computer......Page 813
AppendixC. Taylor Series......Page 815
AppendixD. Taylor Series......Page 818
AppendixE. Taylor Series......Page 820
AppendixF. Greek Letters......Page 822
Index......Page 823

✦ Subjects

Engineering--Mathematical models;Engineering mathematics;Mathematical notation;Numerical analysis;Numerical analysis -- Problems, exercises, etc;Engineering -- Mathematical models