I have found fractal sets within Hoop algebras, and demonstrate them in GenJulia.nb. My first problem was to decide what generalizations to pursue. I finally settled on an ...

Riemann and Weyl curvature, covariant derivative, Lie derivative, the first and the second fundamental form on hyper-surfaces, as well as basic notions of relativistic ...

Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern ...

This textbook contains the course of lectures about some concepts in functional analysis for Ph.D. students of engineering. Functional analysis is a study of abstract linear ...

SeriesSolve finds series solutions to algebraic equations and systems. Procedure is fully documented in standard Mathematica help files. For more information please see the ...

We consider an algebraic completion of the conventional interval arithmetic, called here extended (directed) interval arithmetic, as suitable for embedding in computer ...

Observers estimate target system states and thus are widely used in control and communication systems. This abstract presents the application of Mathematica to the design of ...

We introduce an algebraic model of computation which is especially useful for the description of computations in analysis. On one level the model allows the representation of ...

This package enables Mathematica to carry out calculations with differential forms. It defines the two basic operations - Exterior Product (Wedge) and Exterior Derivative (d) ...

Students will learn the FOIL method for expanding binomials, and be presented with random practice problems that are graded by the software.