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Worked Examples 
Used Tools 
Description 


Mathematica 6 
Title: Monte Carlo method. The notebook contains the worked example of Monte Carlo method for computer simulation of N random points uniformly distributed on the sphere. 


Mathematica 6 
Title:
The problem of finding a linearly independent system of
functions. In the notebook, you can find three approaches to solving the problem. Also, in the notebook there are calculations of Gram determinant and Wronskian. 
Fredholm Integral Equation of the Second Kind. .xmcd (27 KB zip) 
Mathcad 14.0 
This demonstrates indexing of functions in Mathcad. 
Construction of a bounded region. .xmcd (6 KB zip) 
Mathcad 14.0 
Demonstrates programming in Mathcad. 
Linear system. (286 KB zip) 
Delphi 7 
Gaussian elimination method for linear system of algebraic equations. Notes. 1) The program prints all the steps of the solution. 2) Data can be exported and imported in Excel format. 
General bivariate regression .xmcd (9 KB zip) 
Mathcad 14.0 
General bivariate regression and integral equation. 


3D Scope (new) (Microsoft Windows XP Professional 2002) .exe (755 KB zip) 
C++Builder 6, OpenGL, Mathematica 6. 
The program simulates a rigid body motion. The research paper is here (it is written in Russian). 
.m (329 KB zip) 
Matlab 7.5.0 
The Rigid Body project demonstrates a rotation of a rigid body about a fixed point without regard for friction forces. The project is made by using GUIDE of Matlab 7.5.0 (R2007b) and userdefined classes. 
Ball Rolling without Slipping Inside a Vertical Cylinder. .nb (91 KB zip) Or visit Wolfram Demonstrations Projects site to look at the Wolfram demonstration project. 
Mathematica 6 
In the publication you can find: In the publication all of the formula derivations are generated by Mathematica 6. There is no one made in writing. 
.nb (25 KB zip) Or visit Wolfram Demonstrations Projects site to look at the Wolfram demonstration project. 
Mathematica 6 
The notebook demonstrates the inertial rotation of the asymmetric top about a fixed point. A common brick plays the part of the asymmetric top. The general properties of the motion are presented in the notebook. The notebook may be used on the seminars on mechanics in the technical educational establishments. 
3D Scope(old) (Microsoft Windows XP Professional 2002) .exe, .nb (2.7 MB zip)

C++Builder 6, OpenGL, Mathematica 6. 
The program demonstrates the inertial rotation of the asymmetric top about a fixed point. A common brick plays the part of the asymmetric top. The general properties of the motion are presented in the program. The program may be used on the seminars on mechanics in the technical educational establishments. 
.xmcd, .gif (373 KB zip) 
Mathcad 14.0 
Demonstrates animation in Mathcad. 


Universal Method of Rigid Body Motion Simulation. .pdf (1.48 MB) 
MO Word 2007, Math Type 6.0  It is a research paper (written in Russian). 
ElementaryMathematicsTask.pdf (388 KB zip) ElementaryMathematicsTask.djvu (336 KB zip) 
Microsoft Office Word 2007, Mathematica 6, Math Type 6.0 
It is a problem book. 
Brook.docm (287 KB zip) 
Microsoft Office Word 2007, Visual Basic for Applications 
It’s a keyboard trainer. 
Presentation.pdf (1 MB)  MO Word 2007  Application of computer technology in mechanics and mathematics.(It's written in Russian) 
NOSE_THE_DWARF.pdf (398 KB)  MO Word 2007  NOSE, THE DWARF by Wilhelm Hauff 
Updated on April 13, 2014