Living Math: Seeing mathematics in every day life (and appreciating it more too). by D. James Benton (6 Reviews)    Price verified 5 hours ago

A friend once told me that he couldn't remember the last time he had used calculus. How sad. I can't remember the last time I didn't use calculus. Mathematics isn't just esoteric busywork. It's the language of cause and effect-a description of why things work the way they do. Mathematics connects the dots in the picture that is the world around us. Understanding the mathematical relationships between objects and events will give you a whole different perspective, like seeing color in a world where others see only black and white. Join me on this adventure, in which I will take you on a tour of Living Math.

Genre: Science & Math

Monte Carlo Simulation: The Art of Random Process Characterization by D. James Benton (139 Reviews)    Price verified 7 hours ago

There are many textbooks devoted to the theory behind Monte Carlo methods. More often than not, these are heavy on theory and light on example. Rarely do they include the examples in their entirety, mostly presenting the final results in summary form. The aim of this text is to be light on theory and heavy on example. Each example is included in its entirety: input, output, and source code or spreadsheet. If you work through all the examples, you should be able to simulate whatever process is needed.

Genre: Science & Math

Particle Tracking: Computational Strategies and Diverse Examples by D. James Benton (4 Reviews)    Price verified 9 hours ago

Tracking particles through a moving field, such as flowing air, ground, or surface water, is not only a powerful computational method but can also provide insightful visualizations. I have employed this process for a variety of problems from airborne contamination, thermal pollution, and contaminant transport in groundwater. I have even used it to successfully model the mixing of fluorescent dye through the confluence of three pumps in order to distinguish the time of arrival at the destination. While the Lagrangian method (based on time as the independent parameter) is most often used, the Hamiltonian method (based on time as a dependent parameter) can be much faster. Both are developed in this text, which includes many examples. Diffusion (spreading based on material properties) and also dispersion (based on local velocities) are derived, implemented, and illustrated in the text. Flow in factures within porous media, essential to accurately modeling karst formations, is also covered.

Genre: Science & Math