Providing an introduction to functional analysis, this text treats in detail its application to boundary-value problems and finite elements, and is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. It is intended for use by senior undergraduates and graduates in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis will equally find this useful. Offers a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method.
This best-selling textbook presents the concepts of continuum mechanics in a simple yet rigorous manner. It introduces the invariant form as well as the component form of the basic equations and their applications to problems in elasticity, fluid mechanics and heat transfer, and offers a brief introduction to linear viscoelasticity. The book is ideal for advanced undergraduates and graduate students looking to gain a strong background in the basic principles common to all major engineering fields, and for those who will pursue further work in fluid dynamics, elasticity, plates and shells, viscoelasticity, plasticity, and interdisciplinary areas such as geomechanics, biomechanics, mechanobiology and nanoscience. The book features derivations of the basic equations of mechanics in invariant (vector and tensor) form and specification of the governing equations to various co-ordinate systems, and numerous illustrative examples, chapter summaries and exercise problems. This second edition includes additional explanations, examples and problems.
As one of the most highly respected members of the Indian judiciary whose contribution to the cause of humanity and to the growth of human rights jurisprudence has been very significant, author O. Chinnappa Reddy has faced thousands of court cases. In his new book, Humpty Dumpty with Alice in the Wonderland of Law, he shares his cheerful disposition with a collection of humorous short stories drawn from law reports of the last two hundred years. With over 120 pages, this collection of law reports discusses a wide range of topics – most are bizarre – spanning from Humpty Dumpty and the Law, The Case of Adam and Eve, The Case of the Playing Cards to The Case of the Black Dollar vs. White Dollar, The Case of the Racehorses and the Woman, and many more. Through these true law reports, readers will find themselves amused, informed, and thinking at the same time. They will find out that even from simple and oftentimes strange situations, the law still prevails.
Part of the successful Routledge-Cavendish Q&A series, which provides students with essential advice and guidance for essay and exam success, Q&A Commercial Law 2007-2008 has been fully updated and revised to incorporate new developments in commercial law, including the Consumer credit Act 2006. Incorporating all the main areas of the subject from sale of goods through consumer credit to agency and international trade, it contains a range of pedagogical features including: fifty questions on topics commonly found on exam papers comprehensive suggested answers. Written by lecturers who are also examiners, this book gives students an important insight into exactly what examiners are looking for in an answer, making it an excellent revision and practice guide.
A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates. It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method. Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates. Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.
Because plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete, up-to-date, and unified treatment of classical and shear deformation plates and shells, from the basic derivation of theories to analytical and numerical solutions. Revised and updated, this second edition incorporates new information in most chapters, along with some rearrangement of topics to improve the clarity of the overall presentation. The book presents new material on the theory and analysis of shells, featuring an additional chapter devoted to the topic. The author also includes new sections that address Castigliano's theorems, axisymmetric buckling of circular plates, the relationships between the solutions of classical and shear deformation theories, and the nonlinear finite element analysis of plates. The book provides many illustrations of theories, formulations, and solution methods, resulting in an easy-to-understand presentation of the topics. Like the previous edition, this book remains a suitable textbook for a course on plates and shells in aerospace, civil, and mechanical engineering curricula and continues to serve as a reference for industrial and academic structural engineers and scientists.
A comprehensive text, combining all important concepts and topics of Electrical Machines and featuring exhaustive simulation models based on MATLAB/Simulink Electrical Machine Fundamentals with Numerical Simulation using MATLAB/Simulink provides readers with a basic understanding of all key concepts related to electrical machines (including working principles, equivalent circuit, and analysis). It elaborates the fundamentals and offers numerical problems for students to work through. Uniquely, this text includes simulation models of every type of machine described in the book, enabling students to design and analyse machines on their own. Unlike other books on the subject, this book meets all the needs of students in electrical machine courses. It balances analytical treatment, physical explanation, and hands-on examples and models with a range of difficulty levels. The authors present complex ideas in simple, easy-to-understand language, allowing students in all engineering disciplines to build a solid foundation in the principles of electrical machines. This book: Includes clear elaboration of fundamental concepts in the area of electrical machines, using simple language for optimal and enhanced learning Provides wide coverage of topics, aligning with the electrical machines syllabi of most international universities Contains extensive numerical problems and offers MATLAB/Simulink simulation models for the covered machine types Describes MATLAB/Simulink modelling procedure and introduces the modelling environment to novices Covers magnetic circuits, transformers, rotating machines, DC machines, electric vehicle motors, multiphase machine concept, winding design and details, finite element analysis, and more Electrical Machine Fundamentals with Numerical Simulation using MATLAB/Simulink is a well-balanced textbook perfect for undergraduate students in all engineering majors. Additionally, its comprehensive treatment of electrical machines makes it suitable as a reference for researchers in the field.
This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.
C is a favored and widely used programming language, particularly within the fields of science and engineering. C Programming for Scientists and Engineers with Applications guides readers through the fundamental, as well as the advanced concepts, of the C programming language as it applies to solving engineering and scientific problems. Ideal for readers with no prior programming experience, this text provides numerous sample problems and their solutions in the areas of mechanical engineering, electrical engineering, heat transfer, fluid mechanics, physics, chemistry, and more. It begins with a chapter focused on the basic terminology relating to hardware, software, problem definition and solution. From there readers are quickly brought into the key elements of C and will be writing their own code upon completion of Chapter 2. Concepts are then gradually built upon using a strong, structured approach with syntax and semantics presented in an easy-to-understand sentence format. Readers will find C Programming for Scientists and Engineers with Applications to be an engaging, user-friendly introduction to this popular language.
Part of the successful Routledge-Cavendish Q&Aseries, which provides students with essential advice and guidance for essay and exam success, Q&A Commercial Law 2007-2008has been fully updated and revised to incorporate new developments in commercial law, including the Consumer credit Act 2006. Incorporating all the main areas of the subject from sale of goods through consumer credit to agency and international trade, it contains a range of pedagogical features including: fifty questions on topics commonly found on exam papers comprehensive suggested answers. Written by lecturers who are also examiners, this book gives students an important insight into exactly what examiners are looking for in an answer, making it an excellent revision and practice guide.
This edition of Thermodynamics is a thoroughly revised, streamlined, and cor rected version of the book of the same title, first published in 1975. It is intended for students, practicing engineers, and specialists in materials sciences, metallur gical engineering, chemical engineering, chemistry, electrochemistry, and related fields. The present edition contains many additional numerical examples and prob lems. Greater emphasis is put on the application of thermodynamics to chemical, materials, and metallurgical problems. The SI system has been used through out the textbook. In addition, a floppy disk for chemical equilibrium calculations is enclosed inside the back cover. It contains the data for the elements, oxides, halides, sulfides, and other inorganic compounds. The subject material presented in chapters III to XIV formed the basis of a thermodynamics course offered by one of the authors (R.G. Reddy) for the last 14 years at the University of Nevada, Reno. The subject matter in this book is based on a minimum number of laws, axioms, and postulates. This procedure avoids unnecessary repetitions, often encountered in books based on historical sequence of development in thermodynamics. For example, the Clapeyron equation, the van't Hoff equation, and the Nernst distribution law all refer to the Gibbs energy changes of relevant processes, and they need not be presented as radically different relationships.
Follows a strict pedagogical structure and content sequence tested over fifteen years of teaching. Starts by coverings the most up-to-date calculation procedures and standards from ASHRAE and other organizations relevant to building loads, then provides a detailed treatment of primary, traditional secondary and hybrid/emerging secondary equipment and systems. Addresses contemporary issues such as emerging green building design technologies, alternative energy sources, and uncertainties in simulation. Discusses drivers for efficiency such as codes and standards, building rating systems, design guides, and the green building movement Offers a complete Solutions Manual, chapter outcomes, free HCB software download along with associated resources, and detailed and tested slides of individual chapters for classroom projection for qualified instructors adopting the text, with access through author's website
Accurately calculating medication dosages is a critical element in pharmaceutical care that directly affects optimal patient outcomes. Unfortunately, medication dosage errors happen in pharmacies, in hospitals, or even at home or in homecare settings everyday. In extreme cases, even minor dosage errors can have dire consequences. Careful calculations are essential to providing optimal medical and pharmaceutical care. Essential Math and Calculations for Pharmacy Technicians fills the need for a basic reference that students and professionals can use to help them understand and perform accurate calculations. Organized in a natural progression from the basic to the complex, the book includes: Roman and Arabic Numerals Fractions and decimals Ratios, proportions, and percentages Systems of measurement including household conversions Interpretation of medication orders Isotonicity, pH, buffers, and reconstitutions Intravenous flow rates Insulin and Heparin products Pediatric dosage Business math Packed with numerous solved examples and practice problems, the book presents the math in a step-by-step style that allows readers to quickly grasp concepts. The authors explain the fundamentals simply and clearly and include ample practice problems that help readers become proficient. The focus on critical thinking, real-life problem scenarios, and the self-test format make Essential Math and Calculations for Pharmacy Technicians an indispensable learning tool.
This book had its nucleus in some lectures given by one of us (J. O’M. B. ) in a course on electrochemistry to students of energy conversion at the University of Pennsyl- nia. It was there that he met a number of people trained in chemistry, physics, biology, metallurgy, and materials science, all of whom wanted to know something about electrochemistry. The concept of writing a book about electrochemistry which could be understood by people with very varied backgrounds was thereby engendered. The lectures were recorded and written up by Dr. Klaus Muller as a 293-page manuscript. At a later stage, A. K. N. R. joined the effort; it was decided to make a fresh start and to write a much more comprehensive text. Of methods for direct energy conversion, the electrochemical one is the most advanced and seems the most likely to become of considerable practical importance. Thus, conversion to electrochemically powered transportation systems appears to be an important step by means of which the difficulties of air pollution and the effects of an increasing concentration in the atmosphere of carbon dioxide may be met. Cor- sion is recognized as having an electrochemical basis. The synthesis of nylon now contains an important electrochemical stage. Some central biological mechanisms have been shown to take place by means of electrochemical reactions. A number of American organizations have recently recommended greatly increased activity in training and research in electrochemistry at universities in the United States.
The second edition of this popular text provides complete, detailed coverage of the various theories, analytical solutions, and finite element models of laminated composite plates and shells. The book reflects advances in materials modeling in general and composite materials and structures in particular. It includes a chapter dedicated to the theory and analysis of laminated shells, discussions on smart structures and functionally graded materials, exercises and examples, and chapters that were reorganized from the first edition to improve the clarity of the presentation.
This book is designed to meet the requirements of students of science and engineering. This book offers the following topics: Interpolation, Curve fitting matrics, Eigen values and Eigen vectors, Quadratic forms, Fourier series, Partial differential equations and Z-transforms. Each chapter is supplemented with a number of worked-out examples as well as number of problems to be solved by the students. This would help in the better understanding of the subject.
Sybase 15 Replication Server Administration addresses the needs of a wide range of database professionals, explaining to both beginners and experts how to administer Sybase’s newest Replication Server release. This book examines all the knowledge, background information, and conceptual frameworks needed in order to get started on installing and administering Sybase Replication Server, and explores the world of contemporary cross-platform compatible Sybase Replication Server administration. Learn how to replicate business-critical data; configure database connections and routes; manage replicated tables, stored procedures, and subscriptions; set up a warm standby system; monitor replication performance and tune the database system; provide up-to-the-minute high availability of data; recover from failures and prevent data loss; troubleshoot the replication system.
Geoenvironmental Engineering covers the application of basic geological and hydrological science, including soil and rock mechanics and groundwater hydrology, to any number of different environmental problems. * Includes end-of-chapter summaries, design examples and worked-out numerical problems, and problem questions. * Offers thorough coverage of the role of geotechnical engineering in a wide variety of environmental issues. * Addresses such issues as remediation of in-situ hazardous waste, the monitoring and control of groundwater pollution, and the creation and management of landfills and other above-ground and in-situ waste containment systems.
This textbook provides a comprehensive overview of noncooperative and cooperative dynamic games involving uncertain parameter values, with the stochastic process being described by an event tree. Primarily intended for graduate students of economics, management science and engineering, the book is self-contained, as it defines and illustrates all relevant concepts originally introduced in static games before extending them to a dynamic framework. It subsequently addresses the sustainability of cooperative contracts over time and introduces a range of mechanisms to help avoid such agreements breaking down before reaching maturity. To illustrate the concepts discussed, the book provides various examples of how dynamic games played over event trees can be applied to environmental economics, management science, and engineering.
This comprehensive textbook compiles cutting-edge research on beams and circular plates, covering theories, analytical solutions, and numerical solutions of interest to students, researchers, and engineers working in industry. Detailing both classical and shear deformation theories, the book provides a complete study of beam and plate theories, their analytical (exact) solutions, variational solutions, and numerical solutions using the finite element method. Beams and plates are some of the most common structural elements used in many engineering structures. The book details both classical and advanced (i.e., shear deformation) theories, scaling in complexity to aid the reader in self-study, or to correspond with a taught course. It covers topics including equations of elasticity, equations of motion of the classical and first-order shear deformation theories, and analytical solutions for bending, buckling, and natural vibration. Additionally, it details static as well as transient response based on exact, the Navier, and variational solution approaches for beams and axisymmetric circular plates, and has dedicated chapters on linear and nonlinear finite element analysis of beams and circular plates. Theories and Analyses of Beams and Axisymmetric Circular Plates will be of interest to aerospace, civil, materials, and mechanical engineers, alongside students and researchers in solid and structural mechanics.
This book will be a one-stop-shop for readers seeking information on biofibers that are sustainable and environmentally friendly and those that can replace the non-renewable synthetic polymer based fibers. Emphasis will be on fibers that are derived from agricultural byproducts and coproducts without the need for additional natural resources.
7 The Electrified Interface.- 7.1 Electrification of an Interface.- 7.1.1 The Electrode-Electrolyte Interface: The Basis of Electrodics.- 7.1.2 New Forces at the Boundary of an Electrolyte.- 7.1.3 The Interphase Region Has New Properties and New Structures.- 7.1.4 An Electrode Is Like a Giant Central Ion.- 7.1.5 The Consequences of Compromise Arrangements: The Electrolyte Side of the Boundary Acquires a Charge.- 7.1.6 Both Sides of the Interface Become Electrified: The So-Called "Electrical Double Layer"--7.1.7 Double Layers Are Characteristic of All Phase Boundaries.- 7.1.8 A Look into an El.
The book begins with analysis which should be treated as a resource chapter. The concept of the rate of change of a vector plays an important role throughout mechanics. Analysis as well as geometical treatment of vectors are presented for visualisation of the dynamical motions, specifically of rotational dynamics.
Wildlife Toxicity Assessments for Chemicals of Military Concern is a compendium of chemical-specific toxicity information with discussions on the rationale and development of Wildlife Toxicity Reference Values (TRVs) intended for use on terrestrial wildlife for risk assessment applications. Substances covered include military-related chemicals including explosives, propellants, pesticides and metals. Wildlife Toxicity Assessments for Chemicals of Military Concern is a much-needed resource designed to meet the needs of those seeking toxicological information for ecological risk assessment purposes. Each chapter targets a specific chemical and considers the current knowledge of the toxicological impacts of chemicals to terrestrial wildlife including mammalian, avian, amphibian and reptilian species. Provides detailed information on how Wildlife Toxicity Values (TRVs) for military chemicals of concern are derived and evaluated. Covers wildlife toxicity assessments of explosives, metals and environmental chemicals. Compiles relevant information on the environmental effects of chemicals on wildlife in relation to public and environmental health.
This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It is divided into three parts, with the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire book has been revised to make it more accessible to readers who are actively involved in computations but less so in numerical analysis. Reviews of earlier edition: “The authors have written an excellent book which can be recommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.” (ZAMM, 2002) “In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theory and numerics of plasticity. Scientists as well as lecturers and graduate students will find the book very useful as a reference for research or for preparing courses in this field.” (Technische Mechanik) "The book is professionally written and will be a useful reference to researchers and students interested in mathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis." (Math Reviews)
COVID-19 in Alzheimer’s Disease and Dementia crucially summarizes the current status of the coronavirus in patients suffering from these conditions, describing why they are a common cause of morbidity among those with COVID-19. The first section includes chapters that provide a general description of COVID-19, including SARS-CoV-2 structure, function, and biology, and its impact on the elderly with chronic conditions include hypertension, diabetes, obesity, kidney disease, respiratory illnesses, and infectious diseases. Also discussed are effects of the virus on the immune system. The second section shifts to the impact of COVID-19 on those with dementia or Alzheimer’s disease, with special emphasis on age, gender, ethnic background, and lifestyle. Bringing this focus on neurodegenerative disease in one comprehensive resource, this volume is an essential reference for neuroscientists, clinicians, biomedical scientists, and all others working or interested in the field. Discusses Alzheimer’s disease and dementia as morbidities for COVID-19 Describes SARS-CoV-2 structure, function, and biology Examines impact on elderly with chronic conditions including hypertension, diabetes, obesity, kidney disease, respiratory illnesses, and infectious diseases Covers the effect of race, gender, and sex as additional risk factors
This book is written strictly according to the syllabus of GATE and is useful for the students of all branches of engineering for whom mathematics is compulsory. It focusses on providing good theoretical background in simple manner and explain the concepts through several solved examples. Questions from previous examinations have been used extensively. At the end of each chapter, exercises for self-practice are included.
This new text derived from class tested lecturer notes by the author fulfills the needs for a core course in Electrical, Electronics, Instrumentation and Control Engineering. Written in a lucid manner covering the fundamentals of electronic devices and circuits will help the students build a firm foundation on the subject. Key Features: Worked examples Short questions & answers
Simplifies pressure vessels design based on the current ASME codes Explains design topics of non-coded parts to calculate the stresses for any type of arrangement Covers failure analysis related to elements of pressure vessels Provides backend of design software and codes useful to designers Describes the equations by simple fundamental design methods and calculations required for preparing manufacturing drawings
Written by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between applied mathematics and application-oriented computational studies using FEM. Mathematically rigorous, the FEM is presented as a method of approximation for differential operators that are mathematically classified as self-adjoint, non-self-adjoint, and non-linear, thus addressing totality of all BVPs in various areas of engineering, applied mathematics, and physical sciences. These classes of operators are utilized in various methods of approximation: Galerkin method, Petrov-Galerkin Method, weighted residual method, Galerkin method with weak form, least squares method based on residual functional, etc. to establish unconditionally stable finite element computational processes using calculus of variations. Readers are able to grasp the mathematical foundation of finite element method as well as its versatility of applications. h-, p-, and k-versions of finite element method, hierarchical approximations, convergence, error estimation, error computation, and adaptivity are additional significant aspects of this book.
This book provides a complete awareness on the subject EMTL with regards to both theoretical and practical aspects of the subject. Various concepts from fundamentals to advanced topics are presented and discussed adequately. The book’s bottom-up approach ensures that students understand all the basic building blocks before the development of a real-life system. Numerical problems and day-to-day examples, practical situations that occur in industries & daily life are also presented. Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
Written in plain language, Fundamentals of Power Electronics sets forth the basic principles of power electronics. Starting with the various types of devices, protection, and series and parallel operation of silicon controlled rectifiers, it details all the aspects of power electronics essential to building a strong foundation for the further study and practice of industrial or power electronics engineering. The author devotes considerable attention to a wide variety of applications, from AC and DC motors, heating, and welding to HVDC transmission and thyristor controlled electrical drives. Fundamentals of Power Electronics is filled with diagrams that clarify the concepts presented. Each chapter includes sections containing numerous examples and short questions with answers. An appendix furnishes a series of power electronics experiments that explore SCR characteristics, UJT firing circuits, voltage and current commutation, triac characteristics, and the RC triggering scheme of SCR.
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