We may not be able to make you love reading, but exploring abstract algebra with mathematica will lead you to love reading starting from now. Book is the window to open the new world. The world that you want is in the better stage and level. World will always guide you to even the prestige stage of the life. You know, this is some of how reading will give you the kindness. In this case, more bo...

This paper describes new issues of the Mathematica standard package Quaternions for implementing Hamilton’s Quaternion Algebra. This work attempts to endow the original package with the ability to perform operations on symbolic expressions involving quaternion-valued functions. A collection of new functions is introduced in order to provide basic mathematical tools necessary for dealing with re...

This article introduces the Mathematica package HEPMath which provides a number of utilities and algorithms for High Energy Physics computations in Mathematica. Its functionality is similar to packages like FormCalc or FeynCalc, but it takes a more complete and extensible approach to implementing common High Energy Physics notations in the Mathematica language, in particular those related to te...

We present a Mathematica notebook allowing for the symbolic calculation of the 3×3 dielectric tensor of a electron-beam plasma system in the fluid approximation. Calculation is detailed for a cold relativistic electron beam entering a cold magnetized plasma, and for arbitrarily oriented wave vectors. We show how one can elaborate on this example to account for temperatures, arbitrarily oriented...

In this paper we report on GR OBNER-Mathematica, an experimental implementation for computing Grr obner bases in Mathematica. This implementation in its current form ooers three diierent versions of the Grr obner bases algorithm and is generic with respect to the ordering of power products, the domain of coeecients of the polynomials, and the representation of power products, monomials, polynom...

In October 1997 an experiment was started to use Mathematica 4] in order to teach programming to rst year students of Technical Mathematics. In the rst semester the programming course focused on functional programming. The contents were determined by a parallel computer science course, where the programming language SML 3] was used as the basic notation. In this paper the experiences of using M...

Let n > 1 be an integer, and let Fp denote a field of p elements for a prime p ≡ 1 (mod n). By 2015, the question of existence or nonexistence of n-th power residue difference sets in Fp had been settled for all n < 24. We settle the case n = 24 by proving the nonexistence of 24-th power residue difference sets in Fp. We also prove the nonexistence of qualified 24-th power residue difference se...