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BOOK EXCERPT:
Product Details :
Genre |
: Electronic journals |
Author |
: École normale supérieure (France) |
Publisher |
: |
Release |
: 1868 |
File |
: 396 Pages |
ISBN-13 |
: IND:30000091867667 |
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BOOK EXCERPT:
Product Details :
Genre |
: Mathematics |
Author |
: École normale supérieure (France) |
Publisher |
: |
Release |
: 2004 |
File |
: 520 Pages |
ISBN-13 |
: UOM:39015059049182 |
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BOOK EXCERPT:
Special relativity is the basis of many fields in modern physics: particle physics, quantum field theory, high-energy astrophysics, etc. This theory is presented here by adopting a four-dimensional point of view from the start. An outstanding feature of the book is that it doesn’t restrict itself to inertial frames but considers accelerated and rotating observers. It is thus possible to treat physical effects such as the Thomas precession or the Sagnac effect in a simple yet precise manner. In the final chapters, more advanced topics like tensorial fields in spacetime, exterior calculus and relativistic hydrodynamics are addressed. In the last, brief chapter the author gives a preview of gravity and shows where it becomes incompatible with Minkowsky spacetime. Well illustrated and enriched by many historical notes, this book also presents many applications of special relativity, ranging from particle physics (accelerators, particle collisions, quark-gluon plasma) to astrophysics (relativistic jets, active galactic nuclei), and including practical applications (Sagnac gyrometers, synchrotron radiation, GPS). In addition, the book provides some mathematical developments, such as the detailed analysis of the Lorentz group and its Lie algebra. The book is suitable for students in the third year of a physics degree or on a masters course, as well as researchers and any reader interested in relativity. Thanks to the geometric approach adopted, this book should also be beneficial for the study of general relativity. “A modern presentation of special relativity must put forward its essential structures, before illustrating them using concrete applications to specific dynamical problems. Such is the challenge (so successfully met!) of the beautiful book by Éric Gourgoulhon.” (excerpt from the Foreword by Thibault Damour)
Product Details :
Genre |
: Science |
Author |
: Éric Gourgoulhon |
Publisher |
: Springer Science & Business Media |
Release |
: 2013-08-20 |
File |
: 800 Pages |
ISBN-13 |
: 9783642372766 |
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BOOK EXCERPT:
Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926 provides a general account of Lie's theory of finite continuous groups, critically examining Cartan's doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters. It evaluates pioneering attempts to generalize Lie's classical ideas to the infinite-dimensional case in the works of Lie, Engel, Medolaghi and Vessiot. Within this context, Cartan's groundbreaking contributions in continuous group theory, particularly in his characteristic and unique recourse to exterior differential calculus, are introduced and discussed at length. The work concludes by discussing Cartan's contributions to the structural theory of infinite continuous groups, his method of moving frames, and the genesis of his geometrical theory of Lie groups. - Discusses the origins of the theory of moving frames and the geometrical theory of Lie groups - Reviews Cartan's revolutionary contributions to Lie group theory and differential geometry - Evaluates many unpublished sources that shed light on important aspects of the historical development of Lie algebras
Product Details :
Genre |
: Mathematics |
Author |
: Alberto Cogliati |
Publisher |
: Academic Press |
Release |
: 2017-10-24 |
File |
: 306 Pages |
ISBN-13 |
: 9780128142745 |
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BOOK EXCERPT:
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.
Product Details :
Genre |
: Mathematics |
Author |
: Thomas Hawkins |
Publisher |
: Springer Science & Business Media |
Release |
: 2012-12-06 |
File |
: 578 Pages |
ISBN-13 |
: 9781461212027 |
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BOOK EXCERPT:
Product Details :
Genre |
: Science |
Author |
: Henry Carrington Bolton |
Publisher |
: |
Release |
: 1885 |
File |
: 786 Pages |
ISBN-13 |
: NYPL:33433066337043 |
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BOOK EXCERPT:
Product Details :
Genre |
: Science |
Author |
: Smithsonian Institution |
Publisher |
: |
Release |
: 1887 |
File |
: 802 Pages |
ISBN-13 |
: ONB:+Z317389108 |
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BOOK EXCERPT:
A list of publications on geology, mineralogy, and palæontology.
Product Details :
Genre |
: Geology |
Author |
: |
Publisher |
: |
Release |
: 1878 |
File |
: 446 Pages |
ISBN-13 |
: UOM:39015078071761 |
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BOOK EXCERPT:
Product Details :
Genre |
: Industrial arts |
Author |
: Henry Carrington Bolton |
Publisher |
: |
Release |
: 1865 |
File |
: 804 Pages |
ISBN-13 |
: COLUMBIA:CU50477200 |
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BOOK EXCERPT:
Product Details :
Genre |
: Electronic journals |
Author |
: École normale supérieure (France) |
Publisher |
: |
Release |
: 1864 |
File |
: 326 Pages |
ISBN-13 |
: IBNN:BNVA001369703 |