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In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student's preliminary understanding of higher dimensions is not cultivated.
When was the last time you tried something truly new? The modern world is full of possibilities, adventures and excitement but also routines. The daily grind can make us forget about the former as we embrace the monotony of the latter. It can be hard to extract ourselves from the comforting embrace of our favourite TV programme, food or jumper. For one man, the boredom of this very modern life became too much to bear. And so he challenged himself to do something about it. Starting small, his project soon grew into one life-changing year. 52 New Things is the story of one man who decided to put down the Monster Munch, switch off the TV and do something different. He travelled, he danced, he f...
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A guide to ancient accomplishments and inventions unearths the origins of modern creations, including computers in ancient Greece, plastic surgery in India in the first century B.C., and a postal service in medieval Baghdad
This book is a compilation of all the traced results, lineups and scorers of Manchester United's friendly games from 1880 onward. It also has a full Lancashire Senior Cup and Manchester Senior Cup results and goalscorers record, in addition to all the traced lineups from these competitions.
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This book is a printed edition of the Special Issue "Oxidative Stress and Oxygen Radicals" that was published in Biomolecules
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