This textbook provides a step-by-step approach to numerical methods in engineering modelling. The authors provide a consistent treatment of the topic, from the ground up, to reinforce for students that numerical methods are a set of mathematical modelling tools which allow engineers to represent real-world systems and compute features of these systems with a predictable error rate. Each method presented addresses a specific type of problem, namely root-finding, optimization, integral, derivative, initial value problem, or boundary value problem, and each one encompasses a set of algorithms to solve the problem given some information and to a known error bound. The authors demonstrate that after developing a proper model and understanding of the engineering situation they are working on, engineers can break down a model into a set of specific mathematical problems, and then implement the appropriate numerical methods to solve these problems.
Modelling and Errors.- Numerical Representation.- Iteration.- Linear Algebra.- Taylor Series.- Interpolation, Regression, and Extrapolation.- Bracketing.- Root Finding.- Optimization.- Differentiation.- Integration.- Initial Value Problems.- Boundary Value Problems.
This book is intended as a textbook for students, with exercises and questions at the end of each chapter, it is equally suitable for practicing engineers or computer scientists who find themselves using computers to solve numerical problems. & Overall, I found this book very easy to read and follow, with chapters flowing naturally on from each other. & this introductory text on numeric methods does provide just the right level of coverage required of a generalist. (Bernard Kuc, Computing Reviews, February, 2017)
The work is written clearly & and generously illustrated with frequent figures and examples. The provided engineering examples mostly involve applicalÓ3
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