65 research outputs found
The fundamentals of mathematical analysis
No full textThe Fundamentals of Mathematical Analysis, Volume 1 is a textbook that provides a systematic and rigorous treatment of the fundamentals of mathematical analysis. Emphasis is placed on the concept of limit which plays a principal role in mathematical analysis. Examples of the application of mathematical analysis to geometry, mechanics, physics, and engineering are given. This volume is comprised of 14 chapters and begins with a discussion on real numbers, their properties and applications, and arithmetical operations over real numbers. The reader is then introduced to the concept of function,
Calculation of the widths of rooms and pillars with roof control by convergence on yielding pillars
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Calculation of complex constructions of an elastic base with the addition of the resistance to an external load
No full textStresses in an elastic isotropic half-space near the end face of a vertical cylindrical recess
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