Recent years have been characterized by the increasing amountofpublications in the field ofso-called ill-posed problems. This is easilyunderstandable because we observe the rapid progress of a relatively young branch ofmathematics, ofwhich the first results date back to about 30 years ago. By now, impressive results have been achieved both in the theory ofsolving ill-posed problems and in the applicationsofalgorithms using modem computers. To mention just one field, one can name the computer tomography which could not possibly have been developed without modem tools for solving ill-posed problems. When writing this book, the authors tried to define the place and role of ill- posed problems in modem mathematics. In a few words, we define the theory of ill-posed problems as the theory of approximating functions with approximately given arguments in functional spaces. The difference between well-posed and ill- posed problems is concerned with the fact that the latter are associated with discontinuous functions. This approach is followed by the authors throughout the whole book. We hope that the theoretical results will be of interest to researchers working in approximation theory and functional analysis. As for particular algorithms for solving ill-posed problems, the authors paid general attention to the principles ofconstructing such algorithms as the methods for approximating discontinuous functions with approximately specified arguments. In this way it proved possible to define the limits of applicability of regularization techniques.
For one/two semester courses in Engineering and Computer Science at the freshman/sophomore level.
Engineering Problem Solving With C++, Fourth Edition provides a clear, concise introduction to engineering problem solving with C++ as well as the object-oriented features of the C++ programming language. The authors’ proven five-step problem solving methodology is presented and then incorporated in every chapter of the text. The chapters in this text are designed to give the instructor flexibility in the ordering of topics with chapter topics covering the essentials of mathematical computations, character data, control structures, functions, arrays, classes, and pointers. Outstanding engineering and scientific applications are used throughout; all applications are centered around the theme of engineering challenges in the 21st century with an emphasis on incorporating real-world engineering and scientific examples and problems.
"General-equilibrium" refers to an analytical approach which looks at the economy as a complete system of inter-dependent components (industries, households, investors, governments, importers and exporters). "Applied" means that the primary interest is in systems that can be used to provide quantitative analysis of economic policy problems in particular countries. Reflecting the authors' belief in the models as vehicles for practical policy analysis, a considerable amount of material on data and solution techniques as well as on theoretical structures has been included. The sequence of chapters follows what is seen as the historical development of the subject.
The book is directed at graduate students and professional economists who may have an interest in constructing or applying general equilibrium models. The exercises and readings in the book provide a comprehensive introduction to applied general equilibrium modeling. To enable the reader to acquire hands-on experience with computer implementations of the models which are described in the book, a companion set of diskettes is available.
Computer Aided Systems Theory (CAST) deals with the task of contributing to the creation and implementation of tools for the support of usual CAD tools for design and simulation by formal mathematical or logical means in modeling. Naturally, thebasisfortheconstructionandimplementationofCASTsoftwareis provided by the existing current knowledge in modeling and by the experience of practitioners in engineering design. Systems Theory, as seen from the viewpoint of CAST research and CAST tool development, has the role of providing formal frameworks and related theoretical knowledge for model-construction and model analysis. We purposely do not distinguish sharply between systems theory and CAST and other similar ?elds of research and tool development such as for example in applied numerical analysis or other computational sciences. TheheredocumentedEUROCASTconferencewhichtookplaceattheVienna University of Technology re?ects current mainstreams in CAST. As in the p- vious conferences new topics, both theoretical and application oriented, have been addressed. The presented papers show that the ?eld is widespread and that new - velopments in computer science and in information technology are the driving forces. Theeditorswouldliketothanktheauthorsforprovidingtheirmanuscriptsin hardcopyandinelectronicformontime.Thesta?ofSpringer-VerlagHeidelberg gave, as in previous CAST publications, valuable support in editing this volume
This is a unique book with nearly 1000 problems and 50 case studies on open-ended problems in every key topic in chemical engineering that helps to better prepare chemical engineers for the future.Â The term “open-ended problem” basically describes an approach to the solution of a problem and/or situation for which there is not a unique solution.Â The Introduction to the general subject of open-ended problems is followed by 22 chapters, each of which addresses a traditional chemical engineering or chemical engineering-related topic.Â Each of these chapters contain a brief overview of the subject matter of concern, e.g., thermodynamics, which is followed by sample open-ended problems that have been solved (by the authors) employing one of the many possible approaches to the solutions.Â This is then followed by approximately 40-45 open-ended problems with no solutions (although many of the authors’ solutions are available for those who adopt the book for classroom or training purposes).Â A reference section is included with the chapter’s contents.Â Term projects, comprised of 12 additional chapter topics, complement the presentation.
This book provides academic, industrial, and research personnel with the material that covers the principles and applications of open-ended chemical engineering problems in a thorough and clear manner.Â Upon completion of the text, the reader should have acquired not only a working knowledge of the principles of chemical engineering, but also (and more importantly) experience in solving open-ended problems.
What many educators have learned is that the applications and implications of open-ended problems are not only changing professions, but also are moving so fast that many have not yet grasped their tremendous impact.Â The book drives home that the open-ended approach will revolutionize the way chemical engineers will need to operate in the future.
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