Bøker av Leonid P (National Univ Of Colombia Lebedev

The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. This book offers a self-contained treatment of tensors, tensor fields, and their applications.

For those who want to understand the main ideas in the theory of optimal problems, this book provides a good introduction to classical topics (under the heading of "the calculus of variations") and more modern topics (under the heading of "optimal control").

Focuses on modern engineering analysis, covering the calculus of variations, functional analysis, and control theory, as well as applications of these disciplines to mechanics. This book offers an explanation of essential theory and applications.

Offers an introduction to mathematical elasticity, by means of general concepts in classic mechanics, and models for elastic springs, strings, rods, beams and membranes. This book uses functional analysis to explore more general boundary value problems for three-dimensional elastic bodies.