| Description |
1 online resource (xvii, 332 pages) : illustrations (some color) |
| Contents |
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 |
| Summary |
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. Uses a "building-block" approach, starting with simpler mathematical tools and using them to develop more and more complex models and methods; Integrates modelling, error measuring, and programming, with numerical methods, in order to give an engineering emphasis to an otherwise mathematical topic; Demonstrates not only how the math and algorithms work but also how they can be used in engineering practice |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed May 20, 2016) |
| Subject |
Engineering -- Mathematical models
|
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Numerical analysis.
|
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Maths for computer scientists.
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Maths for engineers.
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Mathematics -- Counting & Numeration.
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Computers -- Data Processing.
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Mathematics -- Applied.
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Engineering -- Mathematical models
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| Form |
Electronic book
|
| Author |
Harder, Douglas Wilhelm, author
|
| ISBN |
9783319211763 |
|
3319211765 |
|
