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Author: Andrzej Schinzel
Publisher: European Mathematical Society
ISBN: 9783037190388
Category : Analyse diophantienne
Languages : en
Pages : 554
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Book Description
Author: Andrzej Schinzel
Publisher: European Mathematical Society
ISBN: 9783037190388
Category : Analyse diophantienne
Languages : en
Pages : 554
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Book Description
Author:
Publisher: Odile Jacob
ISBN: 2738175406
Category :
Languages : en
Pages : 264
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Author: Johann Karl Burckhardt
Publisher:
ISBN:
Category :
Languages : en
Pages : 372
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Author: Royal Society (Great Britain)
Publisher:
ISBN:
Category : Learned institutions and societies
Languages : en
Pages : 1022
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Author: Royal Society (Great Britain)
Publisher:
ISBN:
Category : Classification
Languages : en
Pages : 1022
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Author: Royal Society (Great Britain)
Publisher:
ISBN:
Category : Learned institutions and societies
Languages : en
Pages : 1050
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Author: Jesper Lützen
Publisher: Springer Science & Business Media
ISBN: 1461209897
Category : Mathematics
Languages : en
Pages : 893
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Book Description
This scientific biography of the mathematician Joseph Liouville is divided into two parts. The first part is a chronological account of Liouville's career including a description of the institutions he worked in, his relations with his teachers, colleagues and students, and the historical context of his works. It portrays the French scientific community in a period when Germany and England had surpassed France as the leading nations in mathematics and physics. The second part of the book gives a detailed analysis of Liouville's major contributions to mathematics and mechanics. The gradual development of Liouville's ideas, as reflected in his publications and notebooks, are related to the works of his predecessors and his contemporaries as well as to later developments in the field. On the basis of Liouville's unpublished notes the book reconstructs Liouville's hitherto unknown theories of stability of rotating masses of fluid, potential theory, Galois theory and electrodynamics. It also incorporates valuable added information from Liouville's notes regarding his works on differentiation of arbitrary order, integration in finite terms, Sturm-Liouville theory, transcendental numbers, doubly periodic functions, geometry and mechanics.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 1050
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Author: J.S.R. Chisholm
Publisher: Springer Science & Business Media
ISBN: 9400947283
Category : Mathematics
Languages : en
Pages : 589
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Book Description
William Kingdon Clifford published the paper defining his "geometric algebras" in 1878, the year before his death. Clifford algebra is a generalisation to n-dimensional space of quaternions, which Hamilton used to represent scalars and vectors in real three-space: it is also a development of Grassmann's algebra, incorporating in the fundamental relations inner products defined in terms of the metric of the space. It is a strange fact that the Gibbs Heaviside vector techniques came to dominate in scientific and technical literature, while quaternions and Clifford algebras, the true associative algebras of inner-product spaces, were regarded for nearly a century simply as interesting mathematical curiosities. During this period, Pauli, Dirac and Majorana used the algebras which bear their names to describe properties of elementary particles, their spin in particular. It seems likely that none of these eminent mathematical physicists realised that they were using Clifford algebras. A few research workers such as Fueter realised the power of this algebraic scheme, but the subject only began to be appreciated more widely after the publication of Chevalley's book, 'The Algebraic Theory of Spinors' in 1954, and of Marcel Riesz' Maryland Lectures in 1959. Some of the contributors to this volume, Georges Deschamps, Erik Folke Bolinder, Albert Crumeyrolle and David Hestenes were working in this field around that time, and in their turn have persuaded others of the importance of the subject.
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Publisher:
ISBN:
Category : Science
Languages : en
Pages : 900
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