The advent of relatively inexpensive but powerful computers is af fecting practically all aspects of our lives, but some of the greatest influence is being felt in the physical sciences. However, university curricula and teaching methods have responded somewhat cautiously, having only recently come to terms with the now omnipresent calcula tor. While many instructors at first feared that the widespread use of pocket calculators would lead to generations of students who could not multiply or perhaps even add, few now seriously lament the disappear ance of slide rules, logarithm tables, and the often error-bound tedium that such tools of the trade demand. Time that used to be spent on the use of logarithm tables and manual square-root extraction can be prof itably turned to earlier studies of calculus or computer programming. Now that the calculator has been accepted into the classroom, we face a computer-software revolution which promises to be considerably more profound. Modern textbooks in the physical sciences routinely assume their readers have access not only to calculators, but often to home or even mainframe computers as well, and the problems teachers discuss and assign students can be more complex and often more realistic than in the days of only pad and pencil computations. As less effort is spent on numerical computation, more can be devoted to conceptual under standing and to applications of the increasingly sophisticated mathe matical methods needed for a real appreciation of recent advances in the discipline.
This volume is an outgrowth of the 1995 Summer School on Theoretical Physics of the Canadian Association of Physicists (CAP), held in Banff, Alberta, in the Canadian Rockies, from July 30 to August 12,1995. The chapters, based on lectures given at the School, are designed to be tutorial in nature, and many include exercises to assist the learning process. Most lecturers gave three or four fifty-minute lectures aimed at relative novices in the field. More emphasis is therefore placed on pedagogy and establishing comprehension than on erudition and superior scholarship. Of course, new and exciting results are presented in applications of Clifford algebras, but in a coherent and user-friendly way to the nonspecialist. The subject area of the volume is Clifford algebra and its applications. Through the geometric language of the Clifford-algebra approach, many concepts in physics are clarified, united, and extended in new and sometimes surprising directions. In particular, the approach eliminates the formal gaps that traditionally separate clas sical, quantum, and relativistic physics. It thereby makes the study of physics more efficient and the research more penetrating, and it suggests resolutions to a major physics problem of the twentieth century, namely how to unite quantum theory and gravity. The term "geometric algebra" was used by Clifford himself, and David Hestenes has suggested its use in order to emphasize its wide applicability, and b& cause the developments by Clifford were themselves based heavily on previous work by Grassmann, Hamilton, Rodrigues, Gauss, and others.
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The emphasis in this text is on classical electromagnetic theory and electrodynamics, that is, dynamical solutions to the Lorentz-force and Maxwell's equations. The natural appearance of the Minkowski spacetime metric in the paravector space of Clifford's geometric algebra is used to formulate a covariant treatment in special relativity that seamlessly connects spacetime concepts to the spatial vector treatments common in undergraduate texts. Baylis' geometrical interpretation, using such powerful tools as spinors and projectors, essentially allows a component-free notation and avoids the clutter of indices required in tensorial treatments. The exposition is clear and progresses systematically - from a discussion of electromagnetic units and an explanation of how the SI system can be readily converted to the Gaussian or natural Heaviside-Lorentz systems, to an introduction of geometric algebra and the paravector model of spacetime, and finally, special relativity. Other topics include Maxwell's equation(s), the Lorentz-force law, the Fresnel equations, electromagnetic waves and polarization, wave guides, radiation from accelerating charges and time-dependent currents, the Liénard-Wiechert potentials, and radiation reaction, all of which benefit from the modern relativistic approach. Numerous worked examples and exercises dispersed throughout the text help the reader understand new concepts and facilitate self-study of the material. Each chapter concludes with a set of problems, many with answers. Complete solutions are also available. An excellent feature is the integration of Maple into the text, thereby facilitating difficult calculations. To download accompanying Maple worksheets, please visit http://www.cs.uwindsor.ca/users/b/baylis
This series of readers has proved very popular with both students and teachers. These stories feature topics of high drama including romance, intrigue, corporate takeovers and crime. Why was the body of the daughter of one of the richest men in the country lying on the tarmac at Sydney Airport? The only clue to her murder is one entry in her notebook. A detective follows this clue to find her killer.
Offering a provocative new look at the politics of secession in antebellum Virginia, William Link places African Americans at the center of events and argues that their acts of defiance and rebellion had powerful political repercussions throughout the turbulent period leading up to the Civil War. An upper South state with nearly half a million slaves--more than any other state in the nation--and some 50,000 free blacks, Virginia witnessed a uniquely volatile convergence of slave resistance and electoral politics in the 1850s. While masters struggled with slaves, disunionists sought to join a regionwide effort to secede and moderates sought to protect slavery but remain in the Union. Arguing for a definition of political action that extends beyond the electoral sphere, Link shows that the coming of the Civil War was directly connected to Virginia's system of slavery, as the tension between defiant slaves and anxious slaveholders energized Virginia politics and spurred on the impending sectional crisis.
Gilbert's libretti of the comic operas composed by Arthur Sullivan are hugely well known, and lines such as "e;let the punishment fit the crime"e; have entered the English lexicon - but his short stories also deserve to be rediscovered by the modern reader. This collection, carefully curated by the secretary of the W.S. Gilbert Society, brings together the best of these sharp, clever, comical tales - many of which are published here for the first time since their first appearance in ephemeral magazines - enriched with the author's own illustrations. The stories feature many of the powerful motifs so associated with his work - fairies, elixirs, magic - and a wide variety of characters - from burglars to barristers and shopkeepers to gentlemen. This volume is shot through with the observational wit which drove Gilbert and Sullivan's works to fame, and constitutes a hugely enjoyable companion for fans of the pair's theatrical oeuvre.
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