Elements of Scientific Computing 2010th Edition by Aslak Tveito, Hans Petter Langtangen, Bjorn Frederik Nielsen, Xing Cai ISBN 3642112994 9783642112997

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Product details:

ISBN 10: 3642112994 
ISBN 13: 9783642112997
Author: Aslak Tveito, Hans Petter Langtangen, Bjorn Frederik Nielsen, Xing Cai

Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics, astrophysics, chemistry, biology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas that carry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming.

Elements of Scientific Computing 2010th Table of contents:

1 Computing Integrals
2 Differential Equations: The First Steps
3 Systems of Ordinary Differential Equations
4 Nonlinear Algebraic Equations
5 The Method of Least Squares
6 About Scientific Software
7 The Diffusion Equation
8 Analysis of the Diffusion Equation
9 Parameter Estimation and Inverse Problems
10 A Glimpse of Parallel Computing

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