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Books > Professional & Technical > Mechanical engineering & materials > General
This book is the first pedagogical synthesis of the field of topological insulators and superconductors, one of the most exciting areas of research in condensed matter physics. Presenting the latest developments, while providing all the calculations necessary for a self-contained and complete description of the discipline, it is ideal for researchers and graduate students preparing to work in this area, and it will be an essential reference both within and outside the classroom. The book begins with the fundamental description on the topological phases of matter such as one, two- and three-dimensional topological insulators, and methods and tools for topological material's investigations, topological insulators for advanced optoelectronic devices, topological superconductors, saturable absorber and in plasmonic devices. Advanced Topological Insulators provides researchers and graduate students with the physical understanding and mathematical tools needed to embark on research in this rapidly evolving field.
Your guide to advanced thermoelectric materials Written by a distinguished group of contributors, this book provides comprehensive coverage of the most up-to-date information on all aspects of advanced thermoelectric materials -- ranging from system biology, diagnostics, imaging, image-guided therapy, therapeutics, biosensors, and translational medicine and personalized medicine, as well as the much broader task of covering most topics of biomedical research.
Through the theories, strategies, and broad range of case studies in Taguchi Methods for Robust Design, you gain exposure to the entire spectrum of robust design, and master its application. You also learn to prevent quality problems in the early stages of product development/design, to use the dynamic signal-to-noise (SN) ratio as the performance index for robustness of production functions, and to evaluate methods of data collection and analyze case studies of parameter design. Contents include: Types of SN ratios Basic dynamic-type SN ratios for continuous variables Various cases Non-dynamic SN ratios Classified attributes SN ratio with complex numbers Layout and analysis of Youden Square Incomplete data Robust technology department Case studies.
Learn about fundamental and advanced topics in etching with this practical guide Atomic Layer Processing: Semiconductor Dry Etching Technology delivers a hands-on, one-stop resource for understanding etching technologies and their applications. The distinguished scientist, executive, and author offers readers in-depth information on the various etching technologies used in the semiconductor industry, including thermal, isotropic atomic layer, radical, ion-assisted, and reactive ion etching. The book begins with a brief history of etching technology and the role it has played in the information technology revolution, along with a collection of commonly used terminology in the industry. It then moves on to discuss a variety of different etching techniques, before concluding with discussions of the fundamentals of etching reactor design and newly emerging topics in the field such as the role played by artificial intelligence in the technology. Atomic Layer Processing includes a wide variety of other topics as well, all of which contribute to the author's goal of providing the reader with an atomic-level understanding of dry etching technology sufficient to develop specific solutions for existing and emerging semiconductor technologies. Readers will benefit from: A complete discussion of the fundamentals of how to remove atoms from various surfaces An examination of emerging etching technologies, including laser and electron beam assisted etching A treatment of process control in etching technology and the role played by artificial intelligence Analyses of a wide variety of etching methods, including thermal or vapor etching, isotropic atomic layer etching, radical etching, directional atomic layer etching, and more Perfect for materials scientists, semiconductor physicists, and surface chemists, Atomic Layer Processing will also earn a place in the libraries of engineering scientists in industry and academia, as well as anyone involved with the manufacture of semiconductor technology. The author's close involvement with corporate research & development and academic research allows the book to offer a uniquely multifaceted approach to the subject.
The book Modeling in Membranes and Membrane-Based Processes is based on the idea of developing a reference which will cover most relevant and "state-of-the-art" approaches in membrane modeling. This book explores almost every major aspect of modeling and the techniques applied in membrane separation studies and applications. This includes first principle-based models, thermodynamics models, computational fluid dynamics simulations, molecular dynamics simulations, and artificial intelligence-based modeling for membrane separation processes. These models have been discussed in light of various applications ranging from desalination to gas separation. In addition, this breakthrough new volume covers the fundamentals of polymer membrane pore formation mechanisms, covering not only a wide range of modeling techniques, but also has various facets of membrane-based applications. Thus, this book can be an excellent source for a holistic perspective on membranes in general, as well as a comprehensive and valuable reference work. Whether a veteran engineer in the field or lab or a student in chemical or process engineering, this latest volume in the "Advances in Membrane Processes" is a must-have, along with the first book in the series, Membrane Processes, also available from Wiley-Scrivener.
A complete guide to solving lateral load path problems-fully updated for current practices and regulations This thoroughly revised guide explains how to calculate the lateral forces to be transferred across multiple diaphragm and shear wall discontinuities. You will get step-by-step examples that offer progressive coverage-from very basic to very advanced illustrations of load paths in complicated structures. Written by a team of seasoned structural engineers and certified building official, The Analysis of Irregular Shaped Structures: Wood Diaphragms and Shear Walls, Second Edition contains comprehensive explanations of current topics, including cross laminated timber (CLT) which can be used in mass timber construction. You will get thorough coverage of up-to-date structural codes, requirements, and standards and includes newly developed structure types and new design solutions. Covers new topics of diaphragm solutions including CLT diaphragms and shear walls, a new method for calculating FTAO shear walls, and an expanded discussion on cantilever diaphragm design. Updated to reflect the most recent codes and standards, including, ASCE 7-16, 2021 IBC, and 2021 SDPWS with new CLT diaphragm and shear wall design requirements and guidelines. Written by a team of experienced structural engineers and certified building official.
This book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasises the relation between microscopic reversibility and macroscopic irreversibility. Students will find a clear and detailed explanation of fundamental concepts such as equipartition, entropy and ergodicity. They will learn about Brownian motion, the modern treatment of the thermodynamic limit phase transitions, the microscopic and macroscopic theory of the coexistence of phases, statistical mechanics of stationary states, and fluctuations and dissipation in chaotic motions.
A comprehensive overview of the demands on pharmaceutical products and manufacturing processes. It describes in detail the requirements for pharmaceutical production plants, production processes, equipment and machinery, as well as the accompanying qualification and validation measures. Suitable for both engineers in the pharmaceutical industry and in related sectors, as well as for researchers and students in chemical, pharmaceutical, biotechnological and technical courses.
This volume describes frontiers in social-behavioral modeling for contexts as diverse as national security, health, and on-line social gaming. Recent scientific and technological advances have created exciting opportunities for such improvements. However, the book also identifies crucial scientific, ethical, and cultural challenges to be met if social-behavioral modeling is to achieve its potential. Doing so will require new methods, data sources, and technology. The volume discusses these, including those needed to achieve and maintain high standards of ethics and privacy. The result should be a new generation of modeling that will advance science and, separately, aid decision-making on major social and security-related subjects despite the myriad uncertainties and complexities of social phenomena. Intended to be relatively comprehensive in scope, the volume balances theory-driven, data-driven, and hybrid approaches. The latter may be rapidly iterative, as when artificial-intelligence methods are coupled with theory-driven insights to build models that are sound, comprehensible and usable in new situations. With the intent of being a milestone document that sketches a research agenda for the next decade, the volume draws on the wisdom, ideas and suggestions of many noted researchers who draw in turn from anthropology, communications, complexity science, computer science, defense planning, economics, engineering, health systems, medicine, neuroscience, physics, political science, psychology, public policy and sociology. In brief, the volume discusses: Cutting-edge challenges and opportunities in modeling for social and behavioral science Special requirements for achieving high standards of privacy and ethics New approaches for developing theory while exploiting both empirical and computational data Issues of reproducibility, communication, explanation, and validation Special requirements for models intended to inform decision making about complex social systems
This handbook surveys the range of methods and fuel types used in generating energy for industry, transportation, and heating and cooling of buildings. Solar, wind, biomass, nuclear, geothermal, ocean and fossil fuels are discussed and compared, and the thermodynamics of energy conversion is explained. Appendices are provided with fully updated data. Thoroughly revised, this second edition surveys the latest advances in energy conversion from a wide variety of currently available energy sources. It describes energy sources such as fossil fuels, biomass (including refuse-derived biomass fuels), nuclear, solar radiation, wind, geothermal, and ocean, then provides the terminology and units used for each energy resource and their equivalence. It includes an overview of the steam power cycles, gas turbines, internal combustion engines, hydraulic turbines, Stirling engines, advanced fossil fuel power systems, and combined-cycle power plants. It outlines the development, current use, and future of nuclear power.
Noch hat das Motto Alles muss kleiner werden nicht an Faszination verloren. Physikern, Ingenieuren und Medizinern erschliesst sich mit der Nanotechnologie eine neue Welt mit faszinierenden Anwendungen. E.L. Wolf, Physik-Professor in Brooklyn, N.Y., schrieb das erste einfuhrende Lehrbuch zu diesem Thema, in dem er die physikalischen Grundlagen ebenso wie die Anwendungsmoglichkeiten der Nanotechnologie diskutiert. Mittlerweile ist es in der 3. Aufl age erschienen und liegt jetzt endlich auch auf Deutsch vor. Dieses Lehrbuch bietet eine einzigartige, in sich geschlossene Einfuhrung in die physikalischen Grundlagen und Konzepte der Nanowissenschaften sowie Anwendungen von Nanosystemen. Das Themenspektrum reicht von Nanosystemen uber Quanteneff ekte und sich selbst organisierende Strukturen bis hin zu Rastersondenmethoden. Besonders die Vorstellung von Nanomaschinen fur medizinische Anwendungen ist faszinierend, wenn auch bislang noch nicht praktisch umgesetzt. Der dritten Aufl age, auf der diese Ubersetzung beruht, wurde ein neuer Abschnitt uber Graphen zugefugt. Die Diskussion moglicher Anwendungen in der Energietechnik, Nanoelektronik und Medizin wurde auf neuesten Stand gebracht und wieder aktuelle Beispiele herangezogen, um wichtige Konzepte und Forschungsinstrumente zu illustrieren. Der Autor fuhrt mit diesem Lehrbuch Studenten der Physik, Chemie sowie Ingenieurwissenschaften von den Grundlagen bis auf den Stand der aktuellen Forschung. Die leicht zu lesende Einfuhrung in dieses faszinierende Forschungsgebiet ist geeignet fur fortgeschrittene Bachelor- und Masterstudenten mit Vorkenntnissen in Physik und Chemie. Stimmen zur englischen Vorauflage Zusammenfassend ist festzustellen, dass Edward L. Wolf trotz der reichlich vorhandenen Literatur zur Nanotechnologie ein individuell gestaltetes einfuhrendes Lehrbuch gelungen ist. Es eignet sich nicht zuletzt dank der enthaltenen Ubungsaufgaben bestens zur Vorlesungsbegleitung fur Studierende der Natur- und Ingenieurwissenschaften sowie auch spezieller nanotechnologisch orientierter Studiengange. Physik Journal ...eine sehr kompakte, lesenswerte und gut verstandliche Einfuhrung in die Quantenmechanik sowie ihre Auswirkungen auf die Materialwissenschaften ...Chemie Ingenieur Technik
Advances in theories, methods and applications for shale resource use Shale is the dominant rock in the sedimentary record. It is also the subject of increased interest because of the growing contribution of shale oil and gas to energy supplies, as well as the potential use of shale formations for carbon dioxide sequestration and nuclear waste storage. Shale: Subsurface Science and Engineering brings together geoscience and engineering to present the latest models, methods and applications for understanding and exploiting shale formations. Volume highlights include: Review of current knowledge on shale geology Latest shale engineering methods such as horizontal drilling Reservoir management practices for optimized oil and gas field development Examples of economically and environmentally viable methods of hydrocarbon extraction from shale Discussion of issues relating to hydraulic fracking, carbon sequestration, and nuclear waste storage Book Review: I. D. Sasowsky, University of Akron, Ohio, September 2020 issue of CHOICE, CHOICE connect, A publication of the Association of College and Research Libraries, A division of the American Library Association, Connecticut, USA Shale has a long history of use as construction fill and a ceramic precursor. In recent years, its potential as a petroleum reservoir has generated renewed interest and intense scientific investigation. Such work has been significantly aided by the development of instrumentation capable of examining and imaging these very fine-grained materials. This timely multliauthor volume brings together 15 studies covering many facets of the related science. The book is presented in two sections: an overview and a second section emphasizing unconventional oil and gas. Topics covered include shale chemistry, metals content, rock mechanics, borehole stability, modeling, and fluid flow, to name only a few. The introductory chapter (24 pages) is useful and extensively referenced. The lead chapter to the second half of the book, "Characterization of Unconventional Resource Shales," provides a notably detailed analysis supporting a comprehensive production workflow. The book is richly illustrated in full color, featuring high-quality images, graphs, and charts. The extensive index provides depth of access to the volume. This work will be of special interest to a diverse group of investigators moving forward with understanding this fascinating group of rocks. Summing Up: Recommended. Upper-division undergraduates through faculty and professionals.
Oxide Electronics Multiple disciplines converge in this insightful exploration of complex metal oxides and their functions and properties Oxide Electronics delivers a broad and comprehensive exploration of complex metal oxides designed to meet the multidisciplinary needs of electrical and electronic engineers, physicists, and material scientists. The distinguished author eschews complex mathematics whenever possible and focuses on the physical and functional properties of metal oxides in each chapter. Each of the sixteen chapters featured within the book begins with an abstract and an introduction to the topic, clear explanations are presented with graphical illustrations and relevant equations throughout the book. Numerous supporting references are included, and each chapter is self-contained, making them perfect for use both as a reference and as study material. Readers will learn how and why the field of oxide electronics is a key area of research and exploitation in materials science, electrical engineering, and semiconductor physics. The book encompasses every application area where the functional and electronic properties of various genres of oxides are exploited. Readers will also learn from topics like: Thorough discussions of High-k gate oxide for silicon heterostructure MOSFET devices and semiconductor-dielectric interfaces An exploration of printable high-mobility transparent amorphous oxide semiconductors Treatments of graphene oxide electronics, magnetic oxides, ferroelectric oxides, and materials for spin electronics Examinations of the calcium aluminate binary compound, perovoksites for photovoltaics, and oxide 2Degs Analyses of various applications for oxide electronics, including data storage, microprocessors, biomedical devices, LCDs, photovoltaic cells, TFTs, and sensors Suitable for researchers in semiconductor technology or working in materials science, electrical engineering, and physics, Oxide Electronics will also earn a place in the libraries of private industry researchers like device engineers working on electronic applications of oxide electronics. Engineers working on photovoltaics, sensors, or consumer electronics will also benefit from this book.
Novel approach to the theory of signals and systems in an introductory, accessible textbook Signals and Systems have a reputation of being a difficult subject. Essentials of Signals and Systems is a standalone textbook aiming to change this reputation with a novel approach to this subject, teaching the essential concepts of signals and systems in a clear, friendly, intuitive, and accessible way. The overall vision of the book is that traditional approaches to signals and systems are unnecessarily convoluted, and that students' learning experiences are much improved by making a clear connection between the theory of representation of signal and systems, and the theory of representation of vectors and matrices in linear algebra. The author begins by reviewing the theory of representation in linear algebra, emphasizing that vectors are represented by different coordinates when the basis is changed, and that the basis of eigenvectors is special because it diagonalizes the operator. Thus, in each step of the theory of representation of signals and systems, the author shows the analogous step in linear algebra. With such an approach, students can easily understand that signals are analogous to vectors, that systems are analogous to matrices, and that Fourier transforms are a change to the basis that diagonalizes LTI operators. The text emphasizes the key concepts in the analysis of linear and time invariant systems, demonstrating both the algebraic and physical meaning of Fourier transforms. The text carefully connects the most important transforms (Fourier series, Discrete Time Fourier Transform, Discrete Fourier Transforms, Laplace and z-transforms), emphasizing their relationships and motivations. The continuous and discrete time domains are neatly connected, and the students are shown step-by-step how to use the fft function, using simple examples. Incorporating learning objectives and problems, and supported with simple Matlab codes to illustrate concepts, the text presents to students the foundations to allow the reader to pursue more advanced topics in later courses. Developed from lecture notes already tested with more than 600 students over six years, Essentials of Signals and Systems covers sample topics such as: Basic concepts of linear algebra that are pertinent to signals and systems. Theory of representation of signals, with an emphasis on the notion of Fourier transforms as a change of basis, and on their physical meaning. Theory of representation of linear and time invariant systems, emphasizing the role of Fourier transforms as a change to the basis of eigenvectors, and the physical meaning of the impulse and frequency responses. What signals and systems have to do with phasors and impedances, and the basics of filter design. The Laplace transform as an extension of Fourier transforms. Discrete signals and systems, the sampling theorem, the Discrete Time Fourier Transform (DTFT), the Discrete Fourier Transform (DFT), and how to use the fast fourier transform (fft). The z-transform as an extension of the Discrete Time Fourier Transform. Essentials of Signals and Systems is an immensely helpful textbook on the subject for undergraduate students of electrical and computer engineering. The information contained within is also pertinent to those in physics and related fields involved in the understanding of signals and system processing, including those working on related practical applications.
The variety of applications of PFC has continued to increase in the
ten years since the first release of these programs. This volume
contains a collection of fifty-two papers selected for presentation
at the 2nd PFC Symposium, held 27-29 October 2004, in Kyoto, Japan.
These contributions cover a wide range of engineering applications
and theoretical developments using PFC, and discrete methods in
general. Topics include applications in civil engineering, slope
and wall stability, rock fracture, shear flows, geology and
industrial engineering. New developments are also described for
contact bond models, fluid coupling and model calibration.
PROJECT MANAGEMENT THE NEWEST EDITION OF THE #1 PROJECT MANAGEMENT GUIDE FOR STUDENTS AND PROFESSIONALS In the newly revised 13th Edition of Project Management: A Systems Approach to Planning, Scheduling, and Controlling, project management pioneer, leader, and educator Dr. Harold Kerzner delivers a comprehensive and intuitive approach to project management. Widely known as the bestselling "bible" of project management, this book aligns with the concepts and standards outlined in PMI's latest A Guide to the Project Management Body of Knowledge, (PMBOK(R) Guide) and contains the detailed coverage of tools and methods used at all stages of a project. New content added to this 13th Edition includes project health checks, the continued growth of strategic project management, new business models, lean project management, artificial intelligence, and the use of new metrics and KPIs. Supplementary material for academic and corporate instructors, students, and practicing project managers can be found on the book's companion website. A thorough introduction to project management concepts, like project success definition, the role of the project manager, working with executives, and project classification Comprehensive explorations of the evolution and growth of project management, organizational structures, staffing a project team, and management functions Practical discussions of communications management, conflicts, project planning, network scheduling techniques, and pricing and estimation In-depth examinations of cost control, metrics and KPIs, and risk, contract, and quality management Perfect for students and scholars of project management in business and engineering programs, Project Management: A Systems Approach to Planning, Scheduling, and Controlling will also earn a place in the libraries of anyone studying for the PMP(R) exam, as well as practicing project managers, project consultants, and trainers.
Devoted to advances in the field of computer simulation of aerospace equipment, this study is the most up-to-date coverage of the state-of-the-art on coastal and passenger aircraft, drones, and other recent developments in this constantly changing field. This book is devoted to unique developments in the field of computer modeling in aerospace engineering. The book describes the original conceptual models of amphibious aircraft, ground-effect vehicles, hydrofoil vessels, and others, from theory to the full implementation in industrial applications. The developed models are presented with the design of passenger compartments and are actually ready for implementation in the aircraft industry. The originality of the concepts are based on biological prototypes, which are ergonomic, multifunctional and aesthetically pleasing. The aerodynamic layout of prospective convertible land and ship-based aircrafts of vertical and short takeoff-landing is presented, as well as the development of the original model of the unmanned aerial vehicle, or drone. The results of full-scale experiments are presented, including the technology of modeling aerospace simulators based on the virtual reality environment with technical vision devices. Whether for the practicing engineer in the field, the engineering student, or the scientist interested in new aerospace developments, this volume is a must-have. This groundbreaking new volume: Presents unique developments of coastal aircraft concepts based on biological prototypes, from the idea to the finished model Gives the process of modeling the original unmanned aerial vehicle Investigates aerospace simulators based on virtual reality environment with technical vision devices Covers the original ideas of creating carrier-based aviation for sea ships and the results of field experiments simulating an unmanned aerial vehicle Provides many useful illustrations of naval aviation Audience: The book is intended for aerospace engineers, mechanical engineers, structural engineers, researchers and developers in the field of aerospace industry, for aircraft designers and engineering students. It will be useful for scientists, students, graduate students and engineers in the field of naval aviation and space simulators.
A comprehensive and example oriented text for the study of chemical process design and simulation Chemical Process Design and Simulation is an accessible guide that offers information on the most important principles of chemical engineering design and includes illustrative examples of their application that uses simulation software. A comprehensive and practical resource, the text uses both Aspen Plus and Aspen Hysys simulation software. The author describes the basic methodologies for computer aided design and offers a description of the basic steps of process simulation in Aspen Plus and Aspen Hysys. The text reviews the design and simulation of individual simple unit operations that includes a mathematical model of each unit operation such as reactors, separators, and heat exchangers. The author also explores the design of new plants and simulation of existing plants where conventional chemicals and material mixtures with measurable compositions are used. In addition, to aid in comprehension, solutions to examples of real problems are included. The final section covers plant design and simulation of processes using nonconventional components. This important resource: Includes information on the application of both the Aspen Plus and Aspen Hysys software that enables a comparison of the two software systems Combines the basic theoretical principles of chemical process and design with real-world examples Covers both processes with conventional organic chemicals and processes with more complex materials such as solids, oil blends, polymers and electrolytes Presents examples that are solved using a new version of Aspen software, ASPEN One 9 Written for students and academics in the field of process design, Chemical Process Design and Simulation is a practical and accessible guide to the chemical process design and simulation using proven software.
This dictionary provides a tool for translating research results, promotes the exchange of information, and enhances scientists? understanding of the wealth of data published in different languages. It includes 7,000 terms translated into nine languages: English, Chinese, French, Italian, Japanese, Portuguese, Russian, Spanish, and Ukrainian. The book covers all polymer-related subject areas, including chemistry, physical chemistry, physics, spectroscopy, microscopy, theoretical models, polymer-based composites and nanocomposites, polymer and composite processing, and related equipment, tools, and standard testing techniques.
A new Computational Fluid Dynamics methodology that uses modeling software and is light on theory and rigorous math This concise, highly-illustrated resource presents a new, streamlined method for approaching Computational Fluid Dynamics (CFD) that uses the cutting-edge software ANSYS Fluent and minimal mathematical computations. The book teaches, step by step, how to use the latest software from Fluent to perform the complex calculations required to simulate the free-stream flow of fluids as well as the interaction of the fluids (liquids and gases) with surfaces. Developed from curricula taught by the authors, Computational Fluid Dynamics: An Introduction to Modeling and Applications shows how to apply high-powered numerical analyses and data structures to analyze and solve problems that involve fluid flows and heat transfer. Coverage includes laminar and turbulent flows, heat sinks, heat exchangers, and transient flows. Readers will also discover how to handle validation using real-world simulators such as wind tunnels before moving up to full-scale testing with flight tests. Provides a new approach that involves more graphics and software to simplify CFD Aligns with real-world applications through the use of simulation models Written by a pair of mechanical engineering educators and thermal fluid experts
A comprehensive primary resource for researchers interested in nanocomposites for environmental remediation In Nanomaterials for Air and Water Purification, a team of distinguished researchers delivers an expert compilation of resources dealing with nano-based research for air and water remediation. The editors have included works by reputed researchers covering characterization, fabrication, and applications. This book is intended as a primary reference for researchers in academia and industry to offer original insights into environmentally friendly polymers and their nanocomposites. It provides comprehensive discussions of the fundamentals, attributes, characteristics, and fabrication of the materials and composites relevant to these nanomaterials. Readers will also find: Thorough introductions to electrospun nanofiber membranes for effective air filtration and nanocomposite air filter membranes Comprehensive explorations of photocatalytic materials and technologies for air purification Practical discussions of opportunities for improving and protecting water supplies with nanomaterials Fulsome treatments of polymeric membranes incorporated with metal or metal oxide nanoparticles for water purification Perfect for environmental, polymer, and surface chemists, Nanomaterials for Air and Water Purification will also earn a place in the libraries of industry professionals with an interest in water and air purification.
This second edition with four additional chapters presents the physical principles and solution techniques for transient propagation in fluid mechanics and hydraulics. The application domains vary including contaminant transport with or without sorption, the motion of immiscible hydrocarbons in aquifers, pipe transients, open channel and shallow water flow, and compressible gas dynamics. The mathematical formulation is covered from the angle of conservation laws, with an emphasis on multidimensional problems and discontinuous flows, such as steep fronts and shock waves. Finite difference-, finite volume- and finite element-based numerical methods (including discontinuous Galerkin techniques) are covered and applied to various physical fields. Additional chapters include the treatment of geometric source terms, as well as direct and adjoint sensitivity modeling for hyperbolic conservation laws. A concluding chapter is devoted to practical recommendations to the modeler.Application exercises with on-line solutions are proposed at the end of the chapters. |
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