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.
Teaching and Learning Online, 2nd Edition, provides practical advice from academics, researchers, practitioners and designers who are currently engaged in defining, creating and delivering the increasingly important world of online learning. This powerful guide avoids trends in technology, instead focusing on the articulation and development of the learning theories that underpin the use of technology. The book covers:
Theory into practice - emerging models and understanding from academia
The second edition of this bestselling guide addresses key gaps in the available literature including the ethics of eLearning, emerging eLearning cultures, and cutting-edge design issues and pedagogies that will take us into the next decade of eLearning and future Web 3.0+ approaches.
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.
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
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