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  • Tensor Analysisby Leonid P. Lebedev; Michael J. Cloud

    World Scientific Publishing Company 2003; US$ 91.00 US$ 82.81

    Tensor analysis is an essential tool in any science (e.g. engineering, physics, mathematical biology) that employs a continuum description. This concise text offers a straightforward treatment of the subject suitable for the student or practicing engineer. more...

  • Foundations of Micropolar Mechanicsby Victor A. Eremeyev; Leonid P. Lebedev; Holm Altenbach

    Springer Berlin Heidelberg 2012; US$ 45.45

    The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the  constitutive modeling, i.e.... more...

  • Functional Analysis in Mechanicsby Leonid P. Lebedev; I. I. Vorovich

    Springer New York 2006; US$ 76.01

    Technological University for assisting with the English translation, for p- ducing the LaTeX ?les, and for contributing the problem hints that appear in the Appendix. Department of Mechanics and Mathematics L.P. Lebedev Rostov State University, Russia & Department of Mathematics National University of Colombia, Colombia Department of Mechanics and... more...

  • Introduction to Mathematical Elasticityby Leonid P. Lebedev; Michael J. Cloud

    World Scientific Publishing Company 2009; US$ 100.00 US$ 91.00

    This book provides the general reader with an introduction to mathematical elasticity, by means of general concepts in classic mechanics, and models for elastic springs, strings, rods, beams and membranes. Functional analysis is also used to explore more general boundary value problems for three-dimensional elastic bodies, where the reader is provided,... more...

  • Approximating Perfectionby Leonid P. Lebedev; Michael J. Cloud

    Princeton University Press 2015; US$ 24.95 US$ 22.70

    This is a book for those who enjoy thinking about how and why Nature can be described using mathematical tools. Approximating Perfection considers the background behind mechanics as well as the mathematical ideas that play key roles in mechanical applications. Concentrating on the models of applied mechanics, the book engages the reader... more...

  • Tensor Analysis with Applications in Mechanicsby Leonid P. Lebedev; Michael J. Cloud; Victor A. Eremeyev

    World Scientific Publishing Company 2010; US$ 46.00 US$ 41.86

    The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that describe continuum bodies.... more...

  • Advanced Engineering Analysisby Leonid P. Lebedev; Michael J. Cloud; Victor A. Eremeyev

    World Scientific Publishing Company 2012; US$ 144.00 US$ 131.04

    Advanced Engineering Analysis is a textbook on modern engineering analysis, covering the calculus of variations, functional analysis, and control theory, as well as applications of these disciplines to mechanics. The book offers a brief and concise, yet complete explanation of essential theory and applications. It contains exercises with hints and... more...

  • Functional Analysis in Mechanicsby Leonid P. Lebedev; Iosif I. Vorovich; Michael J. Cloud

    Springer New York 2012; US$ 116.29

    Fully supported with underlying mechanical concepts, this revised new edition includes exercises and examples throughout in its concise and accessible introduction to functional analysis, including new material on essential inequalities and imbedding results. more...

  • Inequalitiesby Michael J. Cloud; Byron C. Drachman; Leonid P. Lebedev

    Springer International Publishing 2014; US$ 45.45

    This book reviews essential facts from algebra and calculus, presents the central inequalities of applied analysis and then illustrates a wide variety of practical applications. The expanded 2nd edition offers new examples, exercise, hints and solutions. more...

  • Functional Analysisby Leonid P. Lebedev; Iosif I. Vorovich; G.M.L. Gladwell

    Springer Netherlands 2006; US$ 91.98

    This book started its life as a series of lectures given by the second author from the 1970?s onwards to students in their third and fourth years in the Department of Mechanics and Mathematics at Rostov State University. For these lectures there was also an audience of engineers and applied mechanicists who wished to understand the functional analysis... more...

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