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Geometric Mechanics - Part Ii: Rotating, Translating And Rolling (2nd Edition)
See also GEOMETRIC MECHANICS — Part I: Dynamics and Symmetry (2nd Edition) This textbook introduces modern geometric mechanics to advanced undergraduates and beginning graduate students in mathematics, physics and engineering. In particular, it explains the dynamics of rotating, spinning and rolling rigid bodies from a geometric viewpoint by formulating their solutions as coadjoint motions generated by Lie groups. The only prerequisites are linear algebra, multivariable calculus and some familiarity with Euler-Lagrange variational principles and canonical Poisson brackets in classical mechanics at the beginning undergraduate level.The book uses familiar concrete examples to explain variati...
The Ballad and Oral Literature
Francis James Child, compiler and editor of English and Scottish Popular Ballads, established the scholarly study of folk ballads in the English-speaking world. His successors at Harvard University, notably George Lyman Kittredge, Milman Parry, and Albert B. Lord, discovered new ways of relating ideas about sung narrative to the study of epic poetry and what has come to be called - oral literature. In this volume, 16 scholars from Europe and the United States offer original essays in the spirit of these pioneers. The topics of their studies include well-known Child ballads in their British and American forms; aspects of the oral literatures of France, Ireland, Scandinavia, medieval England, ancient Greece, and modern Egypt; and recent literary ballads and popular songs. Many of the essays evince a concern with the theoretical underpinnings of the study of folklore and literature, orality and literacy; and as a whole the volume re-establishes the European ballad in the wider context of oral literature. Among the contributors are Albert B. Lord, Bengt R. Jonsson, Gregory Nagy, David Buchan, Vesteinn Olason, and Karl Reichl.
The Geometry of Physics
This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the Dirac operator and spinors, and gauge fields, including Yang–Mills, the Aharonov–Bohm effect, Berry phase and instanton winding numbers, quarks and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan's exterior differential forms, which previews many of the geometric concepts developed in the text.
Postcolonial Linguistic Voices
This volume investigates sociolinguistic discourses, identity choices and their representations in postcolonial national and social life, and traces them to the impact of colonial contact. The chapters stitch together current voices and identities emerging within both ex-colonized and ex-colonizer communities as each copes with the social, lingual, cultural, and religious mixes triggered by colonialism. These mixes, reflected in the five thematic parts of the book - 'postcolonial identities', 'nationhood discourses', 'translating the postcolonial', 'living the postcolonial', and 'colonizing the colonizer' - call for deeper investigations of postcolonial communities using emic approaches.
Charlemagne in the Norse and Celtic Worlds
Captured here for the first time is the richness of the Charlemagne tradition in medieval Norway, Sweden, Denmark, Iceland, Wales and Ireland and its coherence as a series of adaptations of Old French chansons de geste
Geometric Mechanics - Part I: Dynamics And Symmetry (2nd Edition)
See also GEOMETRIC MECHANICS — Part II: Rotating, Translating and Rolling (2nd Edition) This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduates and beginning graduate students in mathematics, physics and engineering. It treats the fundamental problems of dynamical systems from the viewpoint of Lie group symmetry in variational principles. The only prerequisites are linear algebra, calculus and some familiarity with Hamilton's principle and canonical Poisson brackets in classical mechanics at the beginning undergraduate level.The ideas and concepts of geometric mechanics are explained in the context of explicit examples. Through these example...
Traffic and Granular Flow '13
This book continues the biannual series of conference proceedings, which has become a classical reference resource in traffic and granular research alike, and addresses the latest developments at the intersection of physics, engineering and computational science. These involve complex systems, in which multiple simple agents, be they vehicles or particles, give rise to surprising and fascinating phenomena. The contributions collected in these proceedings cover several research fields, all of which deal with transport. Topics include highway, pedestrian and internet traffic; granular matter; biological transport; transport networks; data acquisition; data analysis and technological applications. Different perspectives, i.e., modeling, simulations, experiments, and phenomenological observations are considered.
Shadows Of The Circle: From Conic Sections To Planetary Motion (Second Edition)
The ancient Greeks were the first to seriously ask for scientific explanations of the panorama of the heavens based on mathematical ideas. Ever since, mathematics has played a major role for human perception and description of the outside physical world, and in a larger perspective for comprehending the universe. This second edition pays tribute to this line of thought and takes the reader on a journey in the mathematical universe from conic sections to mathematical modelling of planetary systems.In the second edition, the four chapters in the first edition on conic sections (two chapters), isoperimetric problems for plane figures, and non-Euclidean geometry, are treated in four revised chap...
Fundamental Concepts in Modern Analysis
Many advanced mathematical disciplines, such as dynamical systems, calculus of variations, differential geometry and the theory of Lie groups, have a common foundation in general topology and calculus in normed vector spaces. In this book, mathematically inclined engineering students are offered an opportunity to go into some depth with fundamental notions from mathematical analysis that are not only important from a mathematical point of view but also occur frequently in the more theoretical parts of the engineering sciences. The book should also appeal to university students in mathematics and in the physical sciences.
