Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of ...

Multiple representations, transformations, data analysis techniques and interconnections among geometry, probability and algebra. Quantitative approaches and building relationships between discrete ...

Modular forms are much more complicated and enigmatic functions, and students don’t typically encounter them until graduate school. But “there are probably fewer areas of math where they don’t have ...

I. C. DRĂGHICESCU, ON THE TRANSFORMATION OF THE FIRST ORDER QUASILINEAR EQUATIONS BY A CHANGE OF VARIABLES AND FUNCTION, Bulletin mathématique de la Société des Sciences Mathématiques de la République ...

Transformations of Functions This applet will help you in visualizing the effects of transformations on functions. Move the sliders on the right to change the translation and scaling factors.

In this paper, we will obtain new algebraic transformations of the 2 F 1 -hypergeometric functions. The main novelty in our approach is the interpretation of identities among 2 F 1 -hypergeometric ...

Theta functions are also "super-symmetric," meaning that if a specific type of mathematical function called a Moebius transformation is applied to the functions, they turn into themselves.

Rotations, scaling, and transformations modify the sample point before it is evaluated. This allows some remarkable properties, such as mirroring or repeating infinitely.

IN discussing algebraic curves and surfaces we have the choice of several distinct methods. Some authors rely upon Cremona transformations, by which the curve or surface is brought into ...