Designed as a textbook for undergraduate and postgraduate students of engineering and science, Numerical Methods: For Engineering and Science is an attempt to explain the concepts and principles in such a way that the methods can be applied to any discipline.
"The book begins with an introduction to the concept of numerical method as an approximation for solving a mathematical problem and the various kinds of errors and conditions associated with such a method. Subsequently, the book provides detailed explanations of numerical methods for linear system of equations, single as well as multiple non-linear equations, approximation of functions, numerical derivatives and integrals, single and multiple ordinary differential equations, boundary value problems, and partial differential equations. The last chapter introduces some advanced topics such as approximation using rational functions, finite element methods, and multi-grid methods, for the students interested in numerical computations.
The ingenious use of a popular comic character to introduce various mathematical problems is integrated throughout the book to highlight applications of different numerical methods.
"•Provides a balanced combination of analyses and implementation of various methods to help grasp the concepts
•Describes advanced methods such as multigrid and finite elements to help the reader delve deeper into the subject
•Includes ample solved examples and exercises that are designed to bring out the finer points of numerical algorithms
In the CD
Programs and templates for problem solving using
2. System of Linear Equations
3. Solution of Nonlinear Equations
4. Approximations of Functions
5. Numerical Differentiation and Integration
6. Ordinary Differential Equations
7. Partial Differential Equations
8. Advanced Topics
Saumyen Guha a Ph D from Princeton University, USA, is currently an Associate Professor at the Department of Civil Engineering, Indian Institute of Technology Kanpur. He did his B E in civil engineering from the Bengal Engineering College, Shibpur, and an M Tech in environmental engineering from the Indian Institute of Technology Kanpur.
Rajesh Srivastava is currently Associate Professor, Department of Civil Engineering, Indian Institute of Technology (IIT) Kanpur. Earlier, he served as a research scientist at Soil, Water and Environmental Science Department, University of Arizona, USA. A gold medalist from IIT Roorkee (formerly the University of Roorkee) and a PhD from the University of Arizona, Dr Srivastava has to his credit more than 70 papers published in national and international journals and presented at conference proceedings. He was awarded the GM Nawathe award for the best paper in the National Conference, Hydro, both in 2004and 2005. He was also awarded the best paper award in the APD Conference of the International Association of Hydraulic Engineering and Research in 2006.