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Introduction to the axiomatic theory of elementary functions

А.А. Шишкин

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Abstract

Contains an exposition of the basic concepts and theorems of the axiomatic theory of the basic elementary functions of real and complex variables. The textbook is written on the basis of lectures given by the author for a number of years at the Armavir State Pedagogical University, at the Slavyansk-on-Kuban State Pedagogical Institute and at the branch of the Kuban State University in Slavyansk-on-Kuban. It is intended for students of natural-mathematical profiles of preparation of the direction "Pedagogical education". It can be used in the study of mathematical analysis, the theory of functions of a real variable, the theory of functions of a complex variable, etc.

Topics & Concepts

AxiomExposition (narrative)Axiomatic systemElementary theoryState (computer science)Variable (mathematics)Basis (linear algebra)Mathematics educationMathematicsNatural (archaeology)State variableCalculus (dental)Mathematical logicAlgebra over a fieldComputer sciencePure mathematicsAlgorithmMathematical analysisPhysicsProgramming languageGeographyDentistryArchaeologyArtGeometryThermodynamicsLiteratureMedicineEducational Methods and Teacher DevelopmentHistory and Theory of MathematicsArtificial Intelligence in Education
Introduction to the axiomatic theory of elementary functions | Litcius