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Title

Probability theory in system Mathematica
Author

Alexander Kuleshov
Organization: Belarussian State University
Department: Chair of mathematical cybernetics
Revision date

2016-03-21
Description

PROBABILITY THEORY, STATISTICAL ANALYSIS AND OPTIMIZATION OF PROCESSES ARE IMPORTANT AND RELEVANT SPHERES OF KNOWLEDGE NECESSARY FOR SOLVING DIVERSE AS THE FUNDAMENTAL PHYSICS AND APPLIED ENGINEERING PROBLEMS. THE USE OF STATISTICAL METHODS OF ANALYSIS IS PARTICULARLY EFFECTIVE AND PROMISING IN THE STUDY OF NANOTECHNOLOGY PROCESSES, WHICH BY THEIR NATURE ARE PROBABILISTIC. CURRENTLY, THERE ARE QUITE A NUMBER OF MONOGRAPHS, TEXTBOOKS AND MANUALS ON THESE PROBLEMS. HOWEVER, APPEARING ON THE NEEDS OF THE TECHNICAL AREAS OF KNOWLEDGE, THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS IN THE FUTURE DEVELOPMENT NOT SUFFICIENTLY MEET THE NEEDS OF TECHNICAL APPLICATIONS. SUCH BOOKS ARE LARGELY DEVOTED TO THE THEORY OF INTEGRATION MEASURES AND THAT THERE IS INTEREST IN A WIDE RANGE OF READERS WHO NEED TO SOLVE SPECIFIC TECHNICAL PROBLEMS. ON THE OTHER HAND, SO READERS REQUIRED INFORMATION IS PRESENTED IN A VARIETY OF REFERENCE BOOKS, DOES NOT CONTAIN THE "TOOL" THAT IS REQUIRED TO SOLVE SPECIFIC PROBLEMS. SINCE APPEARING IN PUBLICATIONS SUCH FORMULAS ARE A KIND OF SYMBOL FOR THEIR IMPLEMENTATION REQUIRES THE DEVELOPMENT OF SPECIAL SOFTWARE.

PROPOSED TO PUBLISH A TEXTBOOK IN 2 BOOKS HAS THE FOLLOWING ADVANTAGES: 1. A MANUAL IS PROVIDED WITH A LARGE NUMBER OF DETAILED SOLUTIONS TO PROBLEMS IN VARIOUS FUNDAMENTAL AND APPLIED APPLICATIONS OF PROBABILITY THEORY AND MATHEMATICAL STATISTICS. 2. THE MANUAL PRESENTS A COMPLETE SOFTWARE WITH THE ADVANCED-GOVERNMENTAL COMMENTARY FOR THE IMPLEMENTATION OF THE SET OF SOLUTIONS OF SPECIFIC MATHEMATICAL PROBLEMS, WHICH OFTEN DEAL SCIENTISTS AND ENGINEERS. THESE TASKS ARE IMPLEMENTED USING THE PACKAGE MATHEMATICA, WHICH IS BECOMING MORE WIDESPREAD AMONG SCIENTISTS AND ENGINEERS. 3. THE INTERESTED READER CAN ALWAYS BUY THE NECESSARY SOFTWARE ON ANY MEDIUM AND TO USE PLACED IN THE MANUAL THE SOFTWARE DIRECTLY TO YOUR COMPUTER (NOT TYPING PROGRAM CODES!) - THESE FEATURES PROVIDE THE SYSTEM MATHEMATICA. 4. IN ADDITION TO THESE ADVANTAGES, IN THE TUTORIAL SAVED RIGOR AND GENERALITY OF THE PRESENTATION OF FUNDAMENTALS OF THE THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS CHARACTERISTIC OF MONOGRAPHS AND BOOKS ON THESE TOPICS.

THE MANUAL WILL BE USEFUL TO STUDENTS, TEACHERS, SCIENTISTS AND ENGINEERS IN SOLVING PROBLEMS IN VARIOUS FIELDS OF APPLICATION OF THE THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS - FROM COSMOLOGY TO THE PROBLEMS OF STOCHASTIC PHYSICAL PHENOMENA IN NANO-SIZED OBJECTS.
Subject

*Mathematics > Probability and Statistics
Keywords

Probabilities, definition of probabilities on Kolmogorov, probability theory
Language

Russian