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Manifolds, Tensors, and Forms
Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and a variety of applications revealing fundamental connections to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory. Solutions to the problems are available for instructors at www.cambridge.org/9781107042193.
The Quantum Story
The twentieth century was defined by physics. From the minds of the world's leading physicists there flowed a river of ideas that would transport mankind to the pinnacle of wonderment and to the very depths of human despair. This was a century that began with the certainties of absolute knowledge and ended with the knowledge of absolute uncertainty. It was a century in which physicists developed weapons with the capacity to destroy our reality, whilst at the same time denying us the possibility that we can ever properly comprehend it. Almost everything we think we know about the nature of our world comes from one theory of physics. This theory was discovered and refined in the first thirty y...
The Most Unexpected at LHC and the Status of High Energy Frontier
Hot Theoretical Topics: Ultraviolet Behavior of N=8 Supergravity (L J Dixon); Is the Best Superstring Model NP Complete? (M R Douglas); Erice Lecture on Microscopic Gravity (G Dvali); Supergravity: Foundations and Applications (S Ferrara); Orienfold String Vacua and Strings at the LHC (D Luest); Seminar on Specialized Topics: Status of Dark Matter and Neutrino Physics (A Bettini); Experimental Evidence for Pointlike Baryons at q2 = 4MB2 (S Pacetti); Neutrino Masses, Dark Matter, Baryon Asymmetry and Inflation can be Explained at Once (M Shaposhnikov); Results from RHIC with Implications for LHC (M J Tannenbaum); Quantum Gravity without Space-Time Singularities or Horizons (G 't Hooft); Diffr...
A Visual Introduction to Differential Forms and Calculus on Manifolds
This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that theorems play is evident as or before they are presented. With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra.
Campus Traditions
How American campus life shapes students, and how students shape campus lore
Explaining Traditions
Why do humans hold onto traditions? Many pundits predicted that modernization and the rise of a mass culture would displace traditions, especially in America, but cultural practices still bear out the importance of rituals and customs in the development of identity, heritage, and community. In Explaining Traditions: Folk Behavior in Modern Culture, Simon J. Bronner discusses the underlying reasons for the continuing significance of traditions, delving into their social and psychological roles in everyday life, from old-time crafts to folk creativity on the Internet. Challenging prevailing notions of tradition as a relic of the past, Explaining Traditions provides deep insight into the nuances and purposes of living traditions in relation to modernity. Bronner’s work forces readers to examine their own traditions and imparts a better understanding of raging controversies over the sustainability of traditions in the modern world.
The Life of the Cosmos
Lee Smolin offers a new theory of the universe that is at once elegant, comprehensive, and radically different from anything proposed before. Smolin posits that a process of self organization like that of biological evolution shapes the universe, as it develops and eventually reproduces through black holes, each of which may result in a new big bang and a new universe. Natural selection may guide the appearance of the laws of physics, favoring those universes which best reproduce. The result would be a cosmology according to which life is a natural consequence of the fundamental principles on which the universe has been built, and a science that would give us a picture of the universe in which, as the author writes, "the occurrence of novelty, indeed the perpetual birth of novelty, can be understood." Smolin is one of the leading cosmologists at work today, and he writes with an expertise and force of argument that will command attention throughout the world of physics. But it is the humanity and sharp clarity of his prose that offers access for the layperson to the mind bending space at the forefront of today's physics.
Most Unexpected At Lhc And The Status Of High Energy Frontier, The - Proceedings Of The International School Of Subnuclear Physics
Contents:Hot Theoretical Topics:Ultraviolet Behavior of N = 8 Supergravity (L J Dixon)Is the Best Superstring Model NP Complete? (M R Douglas)Erice Lecture on Microscopic Gravity (G Dvali) Supergravity: Foundations and Applications (S Ferrara)Orienfold String Vacua and Strings at the LHC (D Luest)Seminars on Specialized Topics:Status of Dark Matter and Neutrino Physics (A Bettini)Experimental Evidence for Pointlike Baryons at q2 = 4MB2 (S Pacetti) Neutrino Masses, Dark Matter, Baryon Asymmetry and Inflation can be Explained at Once (M Shaposhnikov)Results from RHIC with Implications for LHC (M J Tannenbaum)Quantum Gravity without Space-Time Singularities or Horizons (G 't Hooft)Diffraction i...
The Qur'an with Annotated Interpretation in Modern English
A timely addition to the literature on the holy book of Islam, this translation provides both the original Arabic verse as well as extensive explanations and interpretations in modern English. Additional commentary is offered on the social and historical aspects of Islam, as well as the existence and unity of God, the concept of resurrection, and other theological complexities. Several special glossaries detailing the names of God and Qur'an vocabulary are also included.
Concepts of Space
Historical surveys of the concept of space considers Judeo-Christian ideas about space, Newton's concept of absolute space, space from 18th century to the present. Numerous original quotations and bibliographical references. "Admirably compact and swiftly paced style." — Philosophy of Science. Foreword by Albert Einstein.
