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Field name	Details
Title	Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics ([EBook] /) / Lizhen Ji, Athanase Papadopoulos
Added Personal Name	Ji, Lizhen
Added Personal Name	Papadopoulos, Athanase
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2015
Physical Details	1 online resource (348 pages)
Series	IRMA Lectures in Mathematics and Theoretical Physics (IRMA) 2523-5133 ; ; 23
ISBN	9783037196489
Summary Note	The Erlangen program expresses a fundamental point of view on the use of groups and transformation groups in mathematics and physics. The present volume is the first modern comprehensive book on that program and its impact in contemporary mathematics and physics. Klein spelled out the program, and Lie, who contributed to its formulation, is the first mathematician who made it effective in his work. The theories that these two authors developed are also linked to their personal history and to their relations with each other and with other mathematicians, incuding Hermann Weyl, Élie Cartan, Henri Poincaré, and many others. All these facets of the Erlangen program appear in the present volume. The book is written by well-known experts in geometry, physics and history of mathematics and physics. It is addressed to mathematicians, to graduate students, and to all those interested in the development of mathematical ideas.:
Contents note	Sophus Lie, a giant in mathematics /: Felix Klein: his life and mathematics /: Klein and the Erlangen Programme /: Klein’s “Erlanger Programm”: do traces of it exist in physical theories? /: On Klein’s So-called Non-Euclidean geometry /: What are symmetries of PDEs and what are PDEs themselves? /: Transformation groups in non-Riemannian geometry /: Transitional geometry /: On the projective geometry of constant curvature spaces /: The Erlangen program and discrete differential geometry /: Three-dimensional gravity – an application of Felix Klein’s ideas in physics /: Invariances in physics and group theory /:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/148
See Also	https://www.ems-ph.org/img/books/ji_papadopoulos_mini.jpg
Links to Related Works	Subject References: Differential Geometry . Geometry . History and biography . History of mathematics . Topological groups, Lie groups . Authors: editor . Ji, Lizhen . Papadopoulos, Athanase . Series: IRMA Lectures in Mathematics and Theoretical Physics (IRMA) .

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Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics

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