Abstract
2012 was one hundred years after the death of Henri Poincaré, and so an appropriate time for biographies to appear that memorialize his extensive ongoing contributions to mathematics. The featured review examines two new biographies by Jeremy Gray and Ferdinand Verhulst and provides a glimpse of Poincaré's illustrious career, enough perhaps to encourage readers to look into these impressive new books. Other reviews by experts cover geometry in physics, advanced math for applications, spectral methods, discrete models in finance, George Boole and Claude Shannon, dynamical systems and chaos, and discrete Galerkin methods. They well display the diversity of current applied mathematics and the value of the best new literature to appear.
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