It is an explicit method for solving initial value problems (IVPs), as described in the wikipedia page. But unlike its more celebrated colleagues p and e, the exact nature of gamma remains a mystery-we don't even know if gamma can be expressed as a fraction.Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today-the Riemann Hypothesis (though no proof of either is offered!).Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians. Euler's method numerically approximates solutions of first-order ordinary differential equations (ODEs) with a given initial value. up to 1/n, minus the natural logarithm of n-the numerical value being 0.5772156. Sparse matrices are matrices where only the non-zero elements are provided and stored. fmlpsolve can only work with real numbers. FreeMat also supports complex numbers (a + b i with iSQRT(-1)). Following closely behind is g, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery.In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics.Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 +. In FreeMat, all numerical data is stored in matrices even a scalar variable. Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar.

Freemat inline eulers constant