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Numerical methods / S R K Iyenger and R K Jain.
Material type:
TextLanguage: English Publication details: New Delhi : New Age Interational Publishers, 2020.Edition: 1st edDescription: viii, 316 p. ; 24 cmISBN: - 9789388818957
- 519.4 IYE
Contents:
Summary: Numerical Methods (All India)" by S.R.K. Iyengar appears to be a comprehensive textbook covering a wide array of essential topics in numerical analysis. The table of contents reveals a structured approach, beginning with fundamental techniques for solving algebraic and transcendental equations and linear systems, as well as eigenvalue problems. It progresses logically to interpolation and approximation methods, including spline interpolation, which are crucial for data analysis and function approximation. The book then delves into numerical differentiation and integration, providing the necessary tools for handling calculus problems numerically. A significant portion is dedicated to ordinary differential equations, covering both initial and boundary value problems with various single-step, multi-step, and predictor-corrector methods. Finally, the text introduces partial differential equations, focusing on finite difference methods for solving Laplace, Poisson, heat conduction, and wave equations. This structure suggests a thorough grounding in numerical techniques relevant to various fields of science and engineering, making it a valuable resource for students across India.
Chapter 1: Solution of Equations and Eigenvalue Problems
Solution of Algebraic and Transcendental Equations
Linear System of Algebraic Equations
Eigenvalue Problems
Chapter 2: Interpolation and Approximation
Interpolation with Unevenly Spaced Points
Interpolation with Evenly Spaced Points
Spline Interpolation and Cubic Splines
Chapter 3: Numerical Differentiation and Integration
Numerical Differentiation
Numerical Integration
Chapter 4: Initial Value Problems for Ordinary Differential Equations
Single Step and Multi-Step Methods
Taylor Series Method
Runge-Kutta Methods
System of First Order Initial Value Problems
Multi-Step Methods and Predictor-Corrector Methods
Chapter 5: Boundary Value Problems in Ordinary Differential Equations and Initial & Boundary Value Problems in Partial Differential Equations
Boundary Value Problems Governed by Second Order Ordinary Differential Equations
Classification of Linear Second Order Partial Differential Equations
Finite Difference Methods for Laplace and Poisson Equations
Finite Difference Method for Heat Conduction Equation
Finite Difference Method for Wave Equation
| Item type | Current library | Collection | Shelving location | Call number | Status | Barcode | |
|---|---|---|---|---|---|---|---|
Reference
|
Kalaignar Centenary Library Madurai | ENGLISH-REFERENCE BOOKS | மூன்றாம் தளம் / Third floor | 519.4 IYE (Browse shelf(Opens below)) | Not for loan | 330260 |
Includes Index.
Chapter 1: Solution of Equations and Eigenvalue Problems
Solution of Algebraic and Transcendental Equations
Linear System of Algebraic Equations
Eigenvalue Problems
Chapter 2: Interpolation and Approximation
Interpolation with Unevenly Spaced Points
Interpolation with Evenly Spaced Points
Spline Interpolation and Cubic Splines
Chapter 3: Numerical Differentiation and Integration
Numerical Differentiation
Numerical Integration
Chapter 4: Initial Value Problems for Ordinary Differential Equations
Single Step and Multi-Step Methods
Taylor Series Method
Runge-Kutta Methods
System of First Order Initial Value Problems
Multi-Step Methods and Predictor-Corrector Methods
Chapter 5: Boundary Value Problems in Ordinary Differential Equations and Initial & Boundary Value Problems in Partial Differential Equations
Boundary Value Problems Governed by Second Order Ordinary Differential Equations
Classification of Linear Second Order Partial Differential Equations
Finite Difference Methods for Laplace and Poisson Equations
Finite Difference Method for Heat Conduction Equation
Finite Difference Method for Wave Equation
Numerical Methods (All India)" by S.R.K. Iyengar appears to be a comprehensive textbook covering a wide array of essential topics in numerical analysis. The table of contents reveals a structured approach, beginning with fundamental techniques for solving algebraic and transcendental equations and linear systems, as well as eigenvalue problems. It progresses logically to interpolation and approximation methods, including spline interpolation, which are crucial for data analysis and function approximation. The book then delves into numerical differentiation and integration, providing the necessary tools for handling calculus problems numerically. A significant portion is dedicated to ordinary differential equations, covering both initial and boundary value problems with various single-step, multi-step, and predictor-corrector methods. Finally, the text introduces partial differential equations, focusing on finite difference methods for solving Laplace, Poisson, heat conduction, and wave equations. This structure suggests a thorough grounding in numerical techniques relevant to various fields of science and engineering, making it a valuable resource for students across India.