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A Guide to Quantum Groups
Since they first arose in the 1970s and early 1980s, quantum groups have proved to be of great interest to mathematicians and theoretical physicists. The theory of quantum groups is now well established as a fascinating chapter of representation theory, and has thrown new light on many different topics, notably low-dimensional topology and conformal field theory. The goal of this book is to give a comprehensive view of quantum groups and their applications. The authors build on a self-contained account of the foundations of the subject and go on to treat the more advanced aspects concisely and with detailed references to the literature. Thus this book can serve both as an introduction for the newcomer, and as a guide for the more experienced reader. All who have an interest in the subject will welcome this unique treatment of quantum groups.
Elementary Differential Geometry
Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout. New features of this revised and expanded second edition include: a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature. Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com ul
Twists, Tilings, and Tessellations
Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.
Elementary Differential Geometry
Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics, yet many of them are accessible to higher level undergraduates.Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there.
Too Big to Fail
Includes a new afterword to mark the 10th anniversary of the financial crisis The brilliantly reported New York Times bestseller that goes behind the scenes of the financial crisis on Wall Street and in Washington to give the definitive account of the crisis, the basis for the HBO film “Too Big To Fail is too good to put down. . . . It is the story of the actors in the most extraordinary financial spectacle in 80 years, and it is told brilliantly.” —The Economist In one of the most gripping financial narratives in decades, Andrew Ross Sorkin—a New York Times columnist and one of the country's most respected financial reporters—delivers the first definitive blow-by-blow account of the epochal economic crisis that brought the world to the brink. Through unprecedented access to the players involved, he re-creates all the drama and turmoil of these turbulent days, revealing never-before-disclosed details and recounting how, motivated as often by ego and greed as by fear and self-preservation, the most powerful men and women in finance and politics decided the fate of the world's economy.
The Cemeteries of Jackson and Sandy Ridge Townships, Union Co., NC: Volume 1- Name Index
This volume introduces the study of 144 cemeteries in Jackson and Sandy Ridge Townships, Union Co., NC, and the surrounding areas. Over 27,524 graves are included.
Quantum Groups
Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to learn algebraic concepts and techniques. A key to understanding these new developments is categorical duality. A quantum group is a vector space with structure. Part of the structure is standard: a multiplication making it an 'algebra'. Another part is not in those standard books at all: a comultiplication, which is dual to multiplication in the precise sense of category theory, making it a 'coalgebra'. While coalgebras, bialgebras and Hopf algebras have been around for half a century, the term 'quantum group', along with revolutionary new examples, was launched by Drinfel'd in 1986.
Lectures on Lie Groups
"[Lectures in Lie Groups] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic results for compact Lie groups. . . . The book is a well written basic text [and Adams] has done a service to the mathematical community."—Irving Kaplansky
Making Connections in Elementary and Middle School Social Studies
Making Connections in Elementary and Middle School Social Studies, Second Edition is the best text for teaching primary school teachers how to integrate social studies into other content areas. This book is a comprehensive, reader-friendly text that demonstrates how personal connections can be incorporated into social studies education while meeting the National Council for the Social Studiese(tm) thematic, pedagogical, and disciplinary standards. Praised for its eoewealth of strategies that go beyond social studies teaching,e including classroom strategies, pedagogical techniques, activities and lesson plan ideas, this book examines a variety of methods both novice and experienced teachers alike can use to integrate social studies into other content areas.
