Cloud, Michael J.

Approximating perfection : a mathematician's journey into the world of mechanics by L. P Lebedev( Book )
3 editions published in 2004 in English and held by 492 libraries worldwide

Inequalities : with applications to engineering by Michael J Cloud( Book )
16 editions published in 1998 in English and held by 338 libraries worldwide

Electromagnetics by Edward J Rothwell( Book )
16 editions published between 2001 and 2010 in English and held by 297 libraries worldwide
The book provides a firm grounding in the fundamental concepts of electromagnetics and bolsters understanding through the use of classic examples in shielding, transmission lines, waveguides, propagation through various media, radiation, antennas, and scattering. Mathematical appendices present helpful background information in the areas of Fourier transforms, dyadics, and boundary value problems. The second edition adds a new and extensive chapter on integral equation methods with applications to guided waves, antennas, and scattering. --from publisher description.

Tensor analysis by L. P Lebedev( Book )
13 editions published between 2003 and 2006 in English and held by 264 libraries worldwide
Tensor analysis is an essential tool in any science (e.g. engineering, physics, mathematical biology) that employs a continuumdescription. This concise text offers a straightforward treatment ofthe subject suitable for the student or practicing engineer.

Applications of functional analysis and operator theory by V Hutson( Book )
8 editions published in 2005 in English and held by 217 libraries worldwide
Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces. Key Features - Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering. - Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results. - Introduces each new topic with a clear, concise explanation. - Includes numerous examples linking fundamental principles with applications. - Solidifies the readers understanding with numerous end-of-chapter problems. Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering. Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results. Introduces each new topic with a clear, concise explanation. Includes numerous examples linking fundamental principles with applications. Solidifies the reader's understanding with numerous end-of-chapter problems.

The calculus of variations and functional analysis : with optimal control and applications in mechanics by L. P Lebedev( Book )
9 editions published in 2003 in English and held by 162 libraries worldwide

Introduction to Mathematical Elasticity by L. P Lebedev( Book )
6 editions published in 2009 in English and held by 134 libraries worldwide
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, for each problem considered, a description of the deformation; the equilibrium in terms of stresses; the constitutive equation; the equilibrium equation in terms of displacements; formulation of boundary value problems; and variational principles, generalized solutions and conditions for solvability. Introduction to Mathematical Elasticity will also be of essential reference to engineers specializing in elasticity, and to mathematicians working on abstract formulations of the related boundary value problems.

Introduction to interval analysis by Ramon E Moore( Book )
5 editions published in 2009 in English and held by 134 libraries worldwide
An update on the author's previous books, this introduction to interval analysis provides an introduction to INTLAB, a high-quality, comprehensive MATLAB toolbox for interval computations, making this the first interval analysis book that does with INTLAB what general numerical analysis texts do with MATLAB.

Tensor analysis with applications in mechanics by L. P Lebedev( Book )
3 editions published in 2010 in English and held by 99 libraries worldwide
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. In this case general curvilinear coordinates become necessary. The principal basis of a curvilinear system is constructed as a set of vectors tangent to the coordinate lines. Another basis, called the dual basis, is also constructed in a special manner. The existence of these two bases is responsible for the mysterious covariant and contravariant terminology encountered in tensor discussions. A tensor field is a tensor-valued function of position in space. The use of tensor fields allows us to present physical laws in a clear, compact form. A byproduct is a set of simple and clear rules for the representation of vector differential operators such as gradient, divergence, and Laplacian in curvilinear coordinate systems. This book is a clear, concise, and self-contained treatment of tensors, tensor fields, and their applications. The book contains practically all the material on tensors needed for applications. It shows how this material is applied in mechanics, covering the foundations of the linear theories of elasticity and elastic shells. The main results are all presented in the first four chapters. The remainder of the book shows how one can apply these results to differential geometry and the study of various types of objects in continuum mechanics such as elastic bodies, plates, and shells. Each chapter of this new edition is supplied with exercises and problems - most with solutions, hints, or answers to help the reader progress. An extended appendix serves as a handbook-style summary of all important formulas contained in the book.

Computational functional analysis by Ramon E Moore( Book )
1 edition published in 2007 in English and held by 5 libraries worldwide