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Since the 17th century, physical theories have been expressed in the language of mathematical equations. This introduction to quantum theory uses that language to enable the reader to comprehend the notoriously non-intuitive ideas of quantum physics. The mathematical knowledge needed for using this book comes from standard undergraduate mathematics courses and is described in detail in the section Prerequisites. This text is especially aimed at advanced undergraduate and graduate students of mathematics, computer science, engineering and chemistry among other disciplines, provided they have the math background even though lacking preparation in physics. In fact, no previous formal study of physics is assumed.
This introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles. While the topic of principal bundles in differential geometry has become classic, even standard, material in the modern graduate mathematics curriculum, the unique approach taken in this text presents the material in a way that is intuitive for both students of mathematics and of physics. The goal of this book is to present important, modern geometric ideas in a form readily accessible to students and researchers in both the physics and mathematics communities, providing each with an understanding and appreciation of the language and ideas of the other.
This introductory text is the first book about quantum principal bundles and their quantum connections which are natural generalizations to non-commutative geometry of principal bundles and their connections in differential geometry. To make for a more self-contained book there is also much background material on Hopf algebras, (covariant) differential calculi, braid groups and compatible conjugation operations. The approach is slow paced and intuitive in order to provide researchers and students in both mathematics and physics ready access to the material.
Book 2 in the Dean Curse Chronicles. Fourteen-year-old Dean Curse is still having horrifying visions of the soon-to-be-dead. But after saving his sister, he sees it for the gift the mysterious society intended it to be. So far, Dean's ability has cost him a few broken bones and a standing appointment at group therapy. But those are small sacrifices compared to the lives he's saved. But now, Dean-and his best friends, Colin and Lisa-are forced to make hard decisions that could get them in serious trouble with the law. They have less than twenty-four hours to decide if a few wrongs really can make a right
This book contains short stories written in the style of Stephen King and Edgar Allen Poe. A mix of horror, science fiction and fantasy stories put together, these tales are funny and scary.
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