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Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems and often fail when used for problems with strong nonlinearity. "Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer" presents the current theoretical developments of the analytical method of homotopy analysis. This book not only addresses the theoretical framework for the method, but also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed by nonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering. Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA.
Web-enabled communication technologies are at the forefront of rapid change in education from the K-12 level through postgraduate education. The ascendancy of online learning environments has opened an array of opportunities and challenges, and has raised a formidable set of implications-in the pedagogical, economic, political, and other realms-that we have only begun to grasp, let alone fully manage.Online and Distance Learning: Concepts, Methodologies, Tools and Applications provides a comprehensive collection of case studies, empirical research, conceptual demonstrations, and best practices on Web-enabled learning technologies. This comprehensive, six-volume collection addresses all prominent aspects of online and distance learning, including information communication technologies applied to education, virtual classrooms, pedagogical systems, Web-based learning communities, library information systems, virtual universities, and numerous other topics. Collecting defining research in over 300 chapters from some 800 contributors representing more than 100 countries, Online and Distance Learning: Concepts, Methodologies, Tools and Applications enables libraries to provide a foundational reference to meet the information needs of researchers, educators, practitioners, administrators, and all other stakeholders in the online and distance learning context.
Additional online material can be found by clicking on the button above. 'A very practical text that provides professionals new to this arena with a good introduction to what they can expect to encounter in online work. The book contains numerous thought-provoking examples and exercises for those contemplating work in virtual arenas' - Terry Hanley, Lecturer in Counselling, University of Manchester. 'It's tempting to think that face-to-face experience translates straightforwardly to online work. But it doesn't. Jane Evans shows how many different aspects there are to counselling on-line! My advice would be, don't attempt it until you have worked through this book' - Professor Michael Jacobs, author of "Psychodynamic Counselling in Action". Counsellors - and other professionals who provide emotional support and guidance - are increasingly working online. The difference between online and face-to-face interaction with clients is vast and practitioners need to equip themselves with specialist knowledge and skills to ensure that they are being effective. "Online Counselling and Guidance Skills" is the first book to deal with the practicalities of this mode of working. It looks at how practitioners need to adapt their basic counselling skills to the online environment and guides them through the process of setting up, defining and maintaining a working relationship with a client within professional, ethical and legal boundaries. Case studies and extracts from online sessions show how the skills are put into practice, while practical exercises and points for further consideration help readers to develop their own knowledge and skills. Until now, books and articles have generally focused on the therapeutic work done by counsellors online. However, this book addresses people who use counselling skills in a wide range of contexts; including counselling, education, mental health, social care and careers guidance.
Henry Drummond was a Scottish evangelist, writer, Professor of the natural sciences and lecturer. His ability to analyze a subject and then communicate his findings allowed him to reach people and help them discover new avenues to grow their faith. A Life for A Life and Other Addresses were delivered at the Students' Conference in Northfield, 1893. It sometimes happens that a man, in giving to the world the truths that have most influenced his life, unconsciously writes the truest kind of a character sketch. This was so in the case of Henry Drummond, and no words of mine can better describe his life or character than those in which he has presented to us, "The Greatest Thing in the World." Some men take an occasional journey into the thirteenth of 1 Corinthians, but Henry Drummond was a man who lived there constantly, appropriating its blessings and exemplifying its teachings. As you read what he terms the analysis of love, you find that all its ingredients were interwoven into his daily life, making him one of the most lovable men I have ever known. D. L. MOODY.
This monograph presents theoretical and experimental studies of flows of elastic liquids. Falling into this category are particularly the melts and concentrated solutions of such flexible-chain polymers as polyethylene, polyisobutylene and polypropylene, all of which are widely used in polymer processing. These polydisperse polymers vary greatly, from batch to batch, in their mechanical properties and 20% variation in a property is believed to be good enough. l 7 All recent books - devoted to the rheology of polymers do not answer the question of which constitutive equations should be used for solving the fluid mechanic problems of polymer processing in the usual case of an appreciable nonlinear region of deformation where nonlinear effects of shear and extensional elasticity are very important. Viscoelastic constitut- ive equations cited commonly (see, e.g. Refs 5 and 6) do not describe simultaneously even the simplest cases of deformations, viz. simple shear and uniaxial extension. Moreover, some of them are internally inconsist- ent and sometimes display highly unstable behaviour in simple flows without any fundamental reasons. Even more respected molecular ap- free from these defects.
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