Emergence Classes Alg

Emergence Classes Alg

Author: Marnia Lazreg

Publisher: Routledge

Published: 2019-03-04

Total Pages: 171

ISBN-13: 042972621X

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This book seeks to determine the impact of colonialism on the evolution of social classes in Algeria from 1830 to the present, and to analyze the relationship between classes and political and economic development.


Emergence Classes Alg/h

Emergence Classes Alg/h

Author: Marnia Lazreg

Publisher: Westview Press

Published: 1976-12-12

Total Pages: 280

ISBN-13:

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Monograph on the impact of colonialism on the social structure of Algeria - traces the historical role of Turkey and role of France, analyses social class relationships and class interests, (incl. Workers self management), the role of the fln political party and the bureaucracy, agrarian reform, etc., and discusses postindependence economic and social development under socialism. Bibliography pp. 239 to 248, diagrams, references and statistical tables.


Emergence of the Theory of Lie Groups

Emergence of the Theory of Lie Groups

Author: Thomas Hawkins

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 578

ISBN-13: 1461212022

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The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.


Emergence Of The Quantum From The Classical: Mathematical Aspects Of Quantum Processes

Emergence Of The Quantum From The Classical: Mathematical Aspects Of Quantum Processes

Author: Maurice A De Gosson

Publisher: World Scientific

Published: 2017-11-10

Total Pages: 306

ISBN-13: 1786344165

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The emergence of quantum mechanics from classical world mechanics is now a well-established theme in mathematical physics. This book demonstrates that quantum mechanics can indeed be viewed as a refinement of Hamiltonian mechanics, and builds on the work of George Mackey in relation to their mathematical foundations. Additionally when looking at the differences with classical mechanics, quantum mechanics crucially depends on the value of Planck's constant h. Recent cosmological observations tend to indicate that not only the fine structure constant α but also h might have varied in both time and space since the Big Bang. We explore the mathematical and physical consequences of a variation of h; surprisingly we see that a decrease of h leads to transitions from the quantum to the classical.Emergence of the Quantum from the Classical provides help to undergraduate and graduate students of mathematics, physics and quantum theory looking to advance into research in the field.


On the Emergence Theme of Physics

On the Emergence Theme of Physics

Author: Robert Carroll

Publisher: World Scientific

Published: 2010

Total Pages: 288

ISBN-13: 9814291803

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The book surveys mathematical relations between classical and quantum mechanics, gravity, time and thermodynamics from various points of view and many sources (with appropriate attribution). The emergence theme is developed with an emphasis on the meaning via mathematics. A background theme of Bohemian mechanics and connections to the quantum equivalence principle of Matone et al. is also developed in great detail. Some original work relating the quantum potential and Ricci flow is also included.


Class Field Theory

Class Field Theory

Author: Georges Gras

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 517

ISBN-13: 3662113236

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Global class field theory is a major achievement of algebraic number theory based on the functorial properties of the reciprocity map and the existence theorem. This book explores the consequences and the practical use of these results in detailed studies and illustrations of classical subjects. In the corrected second printing 2005, the author improves many details all through the book.


Beyond Peaceful Coexistence; The Emergence Of Space, Time And Quantum

Beyond Peaceful Coexistence; The Emergence Of Space, Time And Quantum

Author: Ignazio Licata

Publisher: World Scientific

Published: 2016-03-30

Total Pages: 741

ISBN-13: 1783268336

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'It may be that a real synthesis of quantum and relativity theories requires not just technical developments but radical conceptual renewal.'J S BellBeyond Peaceful Coexistence: The Emergence of Space, Time and Quantum brings together leading academics in mathematics and physics to address going beyond the 'peaceful coexistence' of space-time descriptions (local and continuous ones) and quantum events (discrete and non-commutative ones). Formidable challenges waiting beyond the Standard Model require a new semantic consistency within the theories in order to build new ways of understanding, working and relating to them. The original A. Shimony meaning of the peaceful coexistence (the collapse postulate and non-locality) appear to be just the tip of the iceberg in relation to more serious fundamental issues across physics as a whole.Chapters in this book present perspectives on emergent, discrete, geometrodynamic and topological approaches, as well as a new interpretative spectrum of quantum theories after Copenhagen, discrete time theories, time-less approaches and 'super-fluid' pictures of space-time.As well as stimulating further research among established theoretical physicists, the book can also be used in courses on the philosophy and mathematics of theoretical physics.


Beyond Spacetime

Beyond Spacetime

Author: Nick Huggett

Publisher: Cambridge University Press

Published: 2020-05-14

Total Pages: 371

ISBN-13: 110847702X

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A collection of essays discussing the philosophy and foundations of quantum gravity. Written by leading philosophers and physicists in the field, chapters cover the important conceptual questions in the search for a quantum theory of gravity, and the current state of understanding among philosophers and physicists.


Quantum Mechanics and Its Emergent Macrophysics

Quantum Mechanics and Its Emergent Macrophysics

Author: Geoffrey Sewell

Publisher: Princeton University Press

Published: 2020-11-10

Total Pages: 308

ISBN-13: 0691221278

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The quantum theory of macroscopic systems is a vast, ever-developing area of science that serves to relate the properties of complex physical objects to those of their constituent particles. Its essential challenge is that of finding the conceptual structures needed for the description of the various states of organization of many-particle quantum systems. In this book, Geoffrey Sewell provides a new approach to the subject, based on a "macrostatistical mechanics," which contrasts sharply with the standard microscopic treatments of many-body problems. Sewell begins by presenting the operator algebraic framework for the theory. He then undertakes a macrostatistical treatment of both equilibrium and nonequilibrium thermodynamics, which yields a major new characterization of a complete set of thermodynamic variables and a nonlinear generalization of the Onsager theory. The remainder of the book focuses on ordered and chaotic structures that arise in some key areas of condensed matter physics. This includes a general derivation of superconductive electrodynamics from the assumptions of off-diagonal long-range order, gauge covariance, and thermodynamic stability, which avoids the enormous complications of the microscopic treatments. Sewell also unveils a theoretical framework for phase transitions far from thermal equilibrium. Throughout, the mathematics is kept clear without sacrificing rigor. Representing a coherent approach to the vast problem of the emergence of macroscopic phenomena from quantum mechanics, this well-written book is addressed to physicists, mathematicians, and other scientists interested in quantum theory, statistical physics, thermodynamics, and general questions of order and chaos.


Encountering Algebra

Encountering Algebra

Author: Cecilia Kilhamn

Publisher: Springer

Published: 2019-07-03

Total Pages: 265

ISBN-13: 3030175774

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The book reports a comparative research project about algebra teaching and learning in four countries. Algebra is a central topic of learning across the world, and it is well-known that it represents a hurdle for many students. The book presents analyses built on extensive video-recordings of classrooms documenting the first introduction to symbolic algebra (students aged 12 to 14). While the content addressed in all classrooms is variables, expressions and equations, the teaching approaches are diverse. The chapters bring the reader into different algebra classrooms, discussing issues such as mathematization and social norms, the role of mediating tools and designed examples, and teacher beliefs. By comparing classrooms, new insights are generated about how students understand the algebraic content, how teachers instruct, and how both parties deal with difficulties in learning elementary algebra. The book also describes a research methodology using video in search of taken-for-granted aspects of algebra lessons.