Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010274596 | R857.M34 K56 2011 | Open Access Book | Book | Searching... |
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Summary
Summary
The first MATLAB-based numerical methods textbook for bioengineers that uniquely integrates modelling concepts with statistical analysis, while maintaining a focus on enabling the user to report the error or uncertainty in their result. Between traditional numerical method topics of linear modelling concepts, nonlinear root finding, and numerical integration, chapters on hypothesis testing, data regression and probability are interweaved. A unique feature of the book is the inclusion of examples from clinical trials and bioinformatics, which are not found in other numerical methods textbooks for engineers. With a wealth of biomedical engineering examples, case studies on topical biomedical research, and the inclusion of end of chapter problems, this is a perfect core text for a one-semester undergraduate course.
Reviews 1
Choice Review
This is a fairly conventional course resource on numerical methods, but with unique examples chosen from bioengineering, mainly in the area of physiology. King and Mody (both, Cornell Univ.) cover all of the standard topics from equations to integration and include two chapters on statistics. They also include a short chapter on biological string alignment. Each of the nine chapters concludes with "key points to consider," problems, and a list of references for additional reading. The boxed text and problems throughout the work provide additional helpful information. The use of MATLAB as the programming vehicle will probably make the examples much easier for students. A companion Web site provides additional MATLAB problems and data sets. The writing and mathematics are at the appropriate level for upper-division undergraduates. Overall, a useful resource with relevant examples geared specifically for biomedical engineering students. Summing Up: Recommended. Upper-division undergraduates and graduate students. P. Cull Oregon State University
Table of Contents
| 1 Types and sources of numerical error |
| 2 Systems of linear equations |
| 3 Statistics and probability |
| 4 Hypothesis testing |
| 5 Root finding techniques for nonlinear equations |
| 6 Numerical quadrature |
| 7 Numerical integration of ordinary differential equations |
| 8 Nonlinear data regression and optimization |
| 9 Basic algorithms of bioinformatics |
| Appendix A Introduction to MATLAB |
| Appendix B Location of nodes for Gauss-Legendre quadrature |
