Likes+1,4148
What Is Distance? (Popular Lectures in Mathematics)  

Original Title  What Is Distance? (Popular Lectures in Mathematics) 
Author  Yu. A. Shreider 
Publication date 
1974 
Topics  mathematics, soviet, distance, geodesics, elementary distance, definition, space, metric spaces, multidimensional spaces, norms, general definition, popular lectures in mathematics 
Collection  mirtitles, additional_collections 
Book Type  EBook 
Material Type  Book 
File Type  
Downloadable  Yes 
Support  Mobile, Desktop, Tablet 
Scan Quality:  Best No watermark 
PDF Quality:  Good 
Availability  Yes 
Price  0.00 
Submitted By  mirtitles 
Submit Date  
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 ndimensional vector space over real numbers and develops the theory of norms and metrics
on Euclidean nspace. 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) Original Title What Is Distance? (Popu
What Is Distance? (Popular Lectures in Mathematics)
 Yu. A. Shreider
What Is Distance? (Popular Lectures in Mathematics) Original Title What Is Distance? (Popu