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Published
2025-12-27
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Articles
How to Cite
How to Cite
NUMBER MODULE
Juraev Boboer
Ministry of Internal Affairs Syrdaryo Academic Lyceum Mathematics Teacher
Keywords: number modulus, absolute value, modulus of complex numbers, norm, triangle inequality, metric space, complex analysis, vector norm, functional analysis, number theory.
Abstract
This article provides a deep insight into the concept of number modulus (absolute value) in mathematics from a scientific point of view. It analyzes the extensions of the modulus, starting from the basic definition and properties of the modulus in the set of real numbers, to complex numbers, vector spaces, norm theory and functional analysis. It also examines in detail the historical development of the concept of modulus, triangle inequality, geometric and topological interpretations, connections in number theory, and practical applications in physics, computer science, economics and other fields. The article emphasizes the universal importance of the concept of modulus as a fundamental basis of mathematics and presents it at a high scientific level, combining its theoretical and empirical aspects.
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