Excel Scientific and Engineering Cookbook (Cookbooks (O'Reilly)) Review

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Excel Scientific and Engineering Cookbook (Cookbooks (O'Reilly)) ReviewIt is often either inconvenient or financially unfeasible to solve every mathematical problem with a standalone procedural language or an expensive application such as Matlab or Mathematica. Since Excel has such advanced computational capabilities built into it and is ubiquitous in offices and homes, it would make sense to mine this application for numerical problem solving techniques. Bourg does a masterful job of presenting the tools available in Excel and showing the reader how to put them to work to solve real world engineering and mathematical problems. First, he spends a couple of chapters briefly going over Excel and its language VBA (Visual Basic for Applications). Next he goes over some intermediate level tasks such as collecting and cleaning up data, charting including 3D charts, and statistical analysis tasks such as correlating data and generating random numbers. Next Bourg moves into purely mathematical tasks such as working with discrete Fourier transforms, manipulating matrices and vectors, as well as working with basic mathematical functions. Once you have learned to use these mathematical tools in Excel, Bourg uses them to show you how to perform curve fitting and regression, solve equations, perform integration and differentiation, and solve both ordinary and partial differential equations. He even spends time on performing multivariable calculus and the finite element method in Excel. Chapter 13, on optimization, was my favorite chapter. Here, Bourg is actually getting into a little algorithm analysis and design via linear programming and genetic algorithms. This chapter showed me some truly innovative uses of Excel. The final chapter deviates from the scientific flavor of the book and concentrates on more traditional financial applications.
The writing is very accessible, the examples are clear and very creative, and the author does a tremendous job of capturing the range of Excel's mathematical capabilities. Do not expect mathematical theory in this book. Bourg assumes you already know how to set up a mathematical problem and that you just need a computational platform and tools with which to perform your work. It is nice to know I am not necessarily held hostage by Mathworks(maker of Matlab) every time I need to solve a mathematical problem of any level of sophistication. Highly recommended. The table of contents is as follows:
1. Using Excel
2. Getting Acquainted with Visual Basic for Applications
3. Collecting and Cleaning Up Data
4. Charting
5. Statistical Analysis
6. Time Series Analysis
7. Mathematical Functions
8. Curve Fitting and Regression
9. Solving Equations
10. Numerical Integration and Differentiation
11. Solving Ordinary Differential Equations
12. Solving Partial Differential Equations
13. Performing Optimization Analyses in Excel
14. Introduction to Financial CalculationsExcel Scientific and Engineering Cookbook (Cookbooks (O'Reilly)) Overview

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