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What Is Distance? (Popular Lectures in Mathematics) | Yu. A. Shreider

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What Is Distance? (Popular Lectures in Mathematics)
Original Title What Is Distance? (Popular Lectures in Mathematics)
Author Yu. A. Shreider
Publication date

Topics mathematics, soviet, distance, geodesics, elementary distance, definition, space, metric spaces, multi-dimensional spaces, norms, general definition, popular lectures in mathematics
Collection mir-titles, additional_collections
Book Type EBook
Material Type Book
File Type PDF
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Support Mobile, Desktop, Tablet
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PDF Quality: Good
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mirtitles
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This introduction to the theory of metric spaces carries the student through the motivation, development, and application
of an abstract mathematical concept. Yu. A. Shreider begins with a definition of mathematical concepts and then, to motivate his definition of “ metric space,” the author evaluates distance functions and their properties in elementary geometry. After introducing two sets of metric space axioms, he surveys the properties of open balls, sequences, Cauchy sequences, complete metric spaces, and isometries. In the following chapter, the author offers a number of informative examples.
Professor Shreider turns next to applications of the theories, especially the theory of coding and cybernetics. Then returning to theory, the author defines an n-dimensional vector space over real numbers and develops the theory of norms and metrics
on Euclidean n-space. The final chapter considers the possibility of generalizing the concept of metric space.
What Is Distance? (Popular Lectures in Mathematics)
      
 | Yu. A. Shreider
What Is Distance? (Popular Lectures in Mathematics) | Yu. A. Shreider
What Is Distance? (Popular Lectures in Mathematics) Original Title What Is Distance? (Popu
What Is Distance? (Popular Lectures in Mathematics)
      
 | Yu. A. Shreider
What Is Distance? (Popular Lectures in Mathematics) | Yu. A. Shreider
What Is Distance? (Popular Lectures in Mathematics) Original Title What Is Distance? (Popu
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