Numerical methods for engineers /
Steven C. Chapra, Raymond P. Canale
- 2nd edition.
- New York ; San francisco : McGraw-Hill, c1988.
- xvii, 839 p. : ill. ; 24 cm.
CONTENT
PART 1 : MODELING, COMPUTERS AND ERROR ANALYSIS
Chapter 1 : Mathematical modelling and engineering problem-solving Chapter 2 : Computers and software Chapter 3 : Approximation an errors Epilogue : Part one Pt 1.4 Trade offs Pt 1.5 Important relationships and formulas Pt 1.6 Advanced methods and additional references pg 113
PART 2 : ROOTS OF EQUATION Chapter 4 : Bracketing method Chapter 5 : Open methods Chapter 6 : Case studies : Root equations Epilogue part two Pt 2.4 Trade offs Pt 2.5 Important relationships and formulas Pt 2.6 Advanced methods and additional references
PART 3 : SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS Chapter 7 : Solving small numbers of equations Chapter 8 : Matrix inversion and gauss seidel Chapter 9 : LU decomposition method Chapter 10 : Case studies : systems of linear algebraic equations Epilogue : Part 3 Pt 3.4 Trade offs Pt 3.5 Mathematical background Pt 3.6 Advance method and additional references
PART 4 : CURVE FITTING Chapter 11 : Least squares regression Chapter 12 : Interpolation Chapter 13 : Fourier approximation Chapter 14 : Case studies : Curve fitting
PART 5 : NUMERICAL DIFFERENTIATION AND INTERGRATION Chapter 15 : Newton- cotes integration formulas Chapter 1 6 : Integration of equations Chapter 17 : Numerical differentiation Chapter 18 : Case studies: Numerical integration and differentiation
PART SIX :ORDINARY DIFFERENTIAL EQUATIONS Chapter 19 : One step methods Chapter 20 : Adoptive step size control Chapter 21 : Boundary value and Eigenvalue problems Chapter 22 : Case studies : Ordinary differential equations