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Cloud, Michael J.

Works: 16 works in 181 publications in 4 languages and 7,364 library holdings
Roles: Author, Editor
Classifications: QA320, 515.7
Publication Timeline
Publications about Michael J Cloud
Publications by Michael J Cloud
Most widely held works by Michael J Cloud
Tensor analysis by L. P Lebedev( file )
23 editions published between 2003 and 2006 in English and held by 1,263 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
Tensor analysis with applications in mechanics by L. P Lebedev( file )
18 editions published between 2010 and 2011 in English and Spanish and held by 1,132 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"--Provided by publisher
Introduction to mathematical elasticity by L. P Lebedev( file )
12 editions published in 2009 in English and held by 1,127 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
Advanced engineering analysis the calculus of variations and functional analysis with applications in mechanics by L. P Lebedev( file )
8 editions published in 2012 in English and held by 811 libraries worldwide
Advanced Engineering Analysis is a textbook on modern engineering analysis, covering the calculus of variations, functional analysis, 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 solutions, ideal for self-study
Inequalities with applications to engineering by Michael J Cloud( file )
25 editions published between 1998 and 2014 in English and Japanese and held by 789 libraries worldwide
There used to be a saying in mathematical circles that went something like "Children work with equalities; grownups work with inequalities." An overstatement perhaps, but a facility with inequalities does seem to be necessary for an understanding of much of mathematics at intermediate and higher levels. In particular, a working knowledge of inequalities can be beneficial to the practicing engineer. Inequalities are central to the definitions of all limiting processes, including differention and integration. When exact solutions are unavailable, inconvenient, or unnecessary, inqualities can be used to obtain error bounds for numerical approximation. Inqualities can also lead to an understanding of the qualitative behavior of solutions. This guide to inequalities was written specifically with engineers and other applied scientists in mind. It is intended to help fill the gap between college-algebra level treatments of inqualities that everyone has seen before, and the formidable treatise on the subject that exist in the mathematics literature. Every chapter ends with a rich collection of exercises. The book should be accessible to senior- level engineering students, graduate students, and practicing engineers
Approximating perfection : a mathematician's journey into the world of mechanics by L. P Lebedev( Book )
5 editions published in 2004 in English and Italian and held by 506 libraries worldwide
The calculus of variations and functional analysis with optimal control and applications in mechanics by L. P Lebedev( file )
16 editions published in 2003 in English and held by 505 libraries worldwide
This is a book for those who want to understand the main ideas in the theory of optimal problems. It 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"). It employs the language and terminology of functional analysis to discuss and justify the setup of problems that are of great importance in applications. The book is concise and self-contained, and should be suitable for readers with a standard undergraduate background in engineering mathematics
Electromagnetics by Edward J Rothwell( Book )
28 editions published between 2001 and 2010 in English and held by 428 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
Applications of functional analysis and operator theory by V Hutson( file )
11 editions published in 2005 in English and held by 347 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
Introduction to interval analysis by Ramon E Moore( Book )
14 editions published in 2009 in English and held by 197 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
Functional analysis in mechanics by L. P Lebedev( file )
9 editions published between 2012 and 2013 in English and held by 188 libraries worldwide
This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract but powerful mathematical notions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects. This second edition includes more extended coverage of the classical and abstract portions of functional analysis. Taken together, the first three chapters now constitute a regular text on applied functional analysis. This
Engineering writing by design : creating formal documents of lasting value by Edward J Rothwell( Book )
2 editions published in 2014 in English and held by 35 libraries worldwide
"Preface In Walden, Henry Thoreau asserts that "Books must be read as deliberately and reservedly as they were written." Given the serious and highly technical nature of formal engineering writing, any reader of such writing would be wise to follow Thoreau's advice. The purpose of the present book, however, is to speak to the engineering writer. Our basic premise is that engineering material should be written as deliberately and carefully as it will be read. Engineers are smart people and their work is important. Their writing should not be inaccurate, vague, ambiguous, or otherwise opaque. To a great extent, modern engineering is an extension of science and mathematics and is therefore amenable to clear and logical exposition. Some aspects of engineering remain more art than science, to be sure. We would argue, however, that in such cases it is especially important for engineers to write precisely, as readers will be in less of a position to close expository gaps through deductive reasoning. In other words, clear description is just as important in technical writing as clear argumentation. Technical subjects can make for difficult reading as it is. A reader should not have to go over a passage again and again, finally being forced to guess whether the writer was attempting to motivate a viewpoint, describe something that already exists, describe something that could conceivably exist, draw a conclusion from known facts, persuade, or something else. Yet, a writer who approaches the writing task carelessly, by simply accumulating a pile of words and equations, may produce just that sort of confusion"--
Computational functional analysis by Ramon E Moore( file )
7 editions published in 2007 in English and held by 33 libraries worldwide
This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ''hybrid'' method for difficult real-l
Inequalities by Michael J Cloud( Book )
1 edition published in 2014 in English and held by 1 library worldwide
Applied modeling and simulation : an integrated approach to development and operation ( Book )
1 edition published in 1998 in English and held by 1 library worldwide
Eletromagnetics by Edward J Rothwell( Book )
1 edition published in 2009 in English and held by 1 library worldwide
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Alternative Names
Cloud, M. 1960-
Cloud, M. J.
Cloud, M. J. 1960-
Cloud, M. J. (Michael J.)
Cloud, M. J. (Michael J.), 1960-
Cloud, Michael 1960-
English (177)
Japanese (2)
Spanish (1)
Italian (1)
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