Fernando Brambila

Universidad Autónoma de la Ciudad de MéxicoMexico

Fernando Brambila holds a PhD degree from UNAM, Mexico. His thesis on scattering theory was directed by Gunther Uhlmann at MIT. He obtained a postdoctoral position at ICTP, Italy, and has a diploma in Senior Technology Innovation Management at IPADE, Harvard. His research areas are mathematical analysis, partial differential equations, vectorial tomography, and hydraulic engineering. More recently, he has done research on fractional calculus and fractal geometry and applications with his collaborators K. Oleschko (UNAM), C. Fuentes (IMTA), and C. Chavez (UAQ). He is a full-time professor at the Mathematics Department of the School of Science at the National Autonomous University of Mexico, UNAM. He is a doctoral thesis advisor of F. Aceff, R. Mercado, J. Rico, B. Martinez, and C. Torres. Also, he is the former president of the Mexican Mathematical Society, and he is currently the president of AMITE (Mexican Association for Innovation in Educational Technology).

2books edited

2chapters authored

Latest work with IntechOpen by Fernando Brambila

Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.

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