This book is devoted to applications: differential equations, elements of special functions and differential geometry of curves and surfaces with a specific focus on ...

The present notebook gives the concentration versus time and radial position for the mass diffusion in an infinitely long cylinder. A function of the average concentration in ...

This study explored the strategies used by 13 prospective secondary school mathematics teachers to develop and validate functions as mathematical models of real-world ...

KnoxPackages contains about 70 commands useful when teaching functions (precalculus), calculus, multivariable calculus and linear algebra. It also contains the beginnings of ...

This paper presents a novel and systematic procedure to analyze planar microstrip antennas with anisotropic substrates. Working in the Fourier domain and using the symbolic ...

This Mathematica notebook provides many functions that are useful when designing Infinite Impulse Response (IIR) filters. This notebook is limited to Butterworth and ...

This package defines functions Zernike[i, r, theta] and Zernike[i, r, theta, e] that give, respectively, the circular and annular Zernike polynomials, as described by Noll ...

The tanh-function method for finding explicit travelling solitary wave solutions to non-linear evolution equations is described. The method is usually extremely tedious to ...

Dyson–Schwinger equations are important tools for non-perturbative analyses of quantum field theories. For example, they are very useful for investigations in quantum ...

We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers-Ramanujan type and ...