The influence of mathematics on the world view
The the evolution of mathematics as a fundamental tool for understanding the world and its influence on the human worldview. The historical development of mathematical ideas from antiquity to the present, from the theories of Pythagoras and Galileo.
Подобные документы
The textbook includes topics of discrete mathematics. Relations: binary relations, pictorial representatives of relations, inverse relation, functional relation. Mathematical logic: propositions and compound statements, basic laws of logical operations.
??????? ???????, добавлен 11.10.2014The article is devoted to the study of the place of plot mathematical problems in the course mathematics of the primary school of Ukraine; determination of results in teaching problem solving; clarification of the essence of the problem-solving process.
??????, добавлен 16.09.2022Mathematics as a fundamental science. The place in its structure of differential equations is one of the most harmonious ways of knowing the universe. Study of the algorithm for constructing compartmental (SIR) models, based on differential equations.
??????, добавлен 10.08.2022The optimal method of teaching trigonometric equations in the high school mathematics course based on the curriculum. The place and meaning of trigonometric equations and inequalities in the school mathematics course, features of their solution.
??????, добавлен 07.09.2023Several aspects of systems theory. Arithmetic of cardinal numbers. Crises of naive set theory. Constructions of ordinal and cardinal number systems. Growth of the polish school of mathematics. Bellman’s principle of optimality and its generalizations.
?????, добавлен 25.11.2013Study of the content of Galileo's revolution in science, which introduced into science the analytical method typical of the general modern thinking. Familiarization with the method of determining the laws of motion of objects using time functions.
??????, добавлен 10.04.2023The basics of cryptography and its levels of reliability. Secret key cryptosystem and symmetric ciphers, message authentication codes. Fundamentals of discrete mathematics, homomorphisms and isomorphisms. Modular arithmetic and function Euler's Totient.
??????? ???????, добавлен 19.03.2014Separating the foundations of mathematics from philosophy. Difference between the theory of formal systems theory and evidence. Classical first order predicate logic. Elementary and full analysis. Existing proof theory. Infinitely long expressions.
??????, добавлен 09.09.2012Arithmetic operations and properties of decimals, proportion and percents. Fundamental concepts of algebra, functions and graphs. The fundamental operations with complex numbers. Limits of function values, one-sided limits, infinitesimal functions.
??????? ???????, добавлен 11.10.2014Generalization old result of Bowman system. Study of homomorphisms between topological Clifford semigroups. Ditopological unosemigroup in the mathematics. The main class of compact topological Clifford semigroups. The theory of partial symmetries.
??????, добавлен 25.03.2016- 11. Equation
The concept, nature and purpose of mathematics. The process of identifying the "unknowns" in the process of solving the equation. Characteristic and distinctive features of types of equations, examples of possible solutions. Features Diophantine equation.
???????????, добавлен 07.11.2016 Consideration of the process of evolution and prospects of mathematical methods and models in economic research. Characterization of advantages and identification of disadvantages of mathematical formalization in the conditions of a new economic paradigm.
??????, добавлен 31.07.2022Solving Linear Systems with the Inverse. Transposes and Symmetric Matrices. General Linear Systems. The Fundamental Matrix Subspaces. Minimization of Quadratic Functions. Computations in Orthogonal Bases. Orthogonal Polynomials and Least Squares.
??????? ???????, добавлен 25.11.2013An application of mathematical models in transport infrastructure and the field of road construction. The problems of traffic jams, road accident, overload, underload of transport nodal points and their solving with the help of mathematical modeling.
??????, добавлен 20.04.2019Names of Greek letters and their pronunciation in formulas. Some facts on the development of the number system. Abbreviation and mathematical dictionary for the telecommunications specialists. Expressions and constructions used while retelling texts.
??????? ???????, добавлен 11.10.2014The mathematical principles of the operation of cryptocurrencies. Mathematical formulas for calculating the public key from the private key. Properties of elliptic curves and the principle of their application during the creation of cryptocurrency.
??????, добавлен 10.05.2023The theory of inverse problems for differential equations as fields of applied mathematics. In article attention that when training in the inverse problems for differential equations at students scientific and cognitive potential develops is paid.
??????, добавлен 29.03.2021Mathematical methods of optimizing statistical research. Solution the problem of computation the entropy value of binary messages of increased length generated by Bernoulli information sources. Development of methods to reduce the number of calculations.
??????, добавлен 19.09.2024Biographies of scholars such as Leonardo da Vinci, Kelly Miller, Rene Descartes, Leonhard Euler, Nicolaus Copernicus, Alan Turing and other scientists who have made an invaluable contribution to science. Their ways of life and achievements in science.
???????, добавлен 01.04.2016Using methods of discrete mathematics in the field of virtual isolation and its application in the scientific theory of numbers, groups, combinatorics and graph theory. Specifics arithmetic methods data comparisons. Construction of a matrix atom.
?????, добавлен 08.03.2014Sums, floors and recurrences. Finite and infinite calculus. Hypergeometric functions and transformations. Special, exponential generating functions. Euler’s summation formula. Domino theory and change. Partial hypergeometric sums. Stirling numbers.
??????? ???????, добавлен 25.11.2013Normed linear spaces and Banach spaces. Basic properties of inner-products. Best approximation and orthogonal projections. Compact operators on a Banach space. Boundary value problems. Dierential calculus in Banach spaces and the calculus of variations.
??????? ???????, добавлен 03.07.2013Characteristic of a Krull–Schmidt Theorem for nonassociative algebras. Definition of the upper annihilating series. Study of some families of nilpotent evolution algebras. Classification of four- and five-dimensional nilpotent evolution algebras.
??????, добавлен 24.01.2017Consideration of the Shannon's mathematical theory of communication as the technology processing of information. Problems associated with the transmission of messages: eliminate redundancy, perform coding and messaging communication channels with noise.
??????, добавлен 15.09.2012Measure theory, discrete time martingales and discrete time option pricing. Continuous time martingales. Stochastic integrals, calculus and differential equations. Option pricing in continuous time. Random measures, stochastic calculus (characteristics).
?????, добавлен 13.01.2013