YACAS is an easy to use, general purpose Computer Algebra System, a program for symbolic manipulation of mathematical expressions. It uses its own programming language designed for symbolic as well as arbitrary-precision numerical computations. The system has a library of scripts that implement many of the symbolic algebra operations; new algorithms can be easily added to the library. YACAS comes with extensive documentation (320+ pages) covering the scripting language, the functionality that is already implemented in the system, and the algorithms we used.
Mathematics as a Non-Superstition. Eleven math courses (in the playlists), from high school (precalculus) to early graduate school (functional analysis), taught in such a way that the student should be able to defend (almost) all statements against objection.
Playlist List (sorted by last added):
Course 4: Linear Algebra
Course 3: Calculus II (US)
Course 2: Calculus I (Another extra)
Course 7: Principles of Mathematical Analysis
Course 9: Basic Functional and Harmonic Analysis
Course 8: Fourier Analysis
Course 8: Complex Analysis
Course 6: Introduction to Analysis
Course 5: Differential Equations
Course 4: Multivariable Calculus
Course 3: Calculus II
Course 2: Calculus I
Course 1: Precalculus
This is an excellent tool to learn how to solve math problems. Students type the story problem. And the software is giving the answer in step-by-step solution. All the steps and explanations help students to understand how to look at a problem, see the key words, and reach to solutions. I think this can help parents to help their children in math as well.
This course contains over 40 videos from my undergraduate Abstract Algebra course (Math 4120) at Clemson University. I first taught it in 2010, using Nathan ...
Research
My current field of interest is in algebraic combinatorics with a representation theoretic bent. I also like thinking about problems in discrete and algebraic geometry. Occassionally I do some extremal combinatorics.
V. Mazurov, and E. Khukhro. (2014)cite arxiv:1401.0300Comment: A few new solutions and references have been added. Preparation of the next 19th issue is underway, new problems are welcome, as well as comments on previous editions.