Fields and Galois Theory by J.S. Milne
English | PDF | 2021 | 141 Pages | ISBN : N/A | 1 MB
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Fields and Galois Theory
Date: 16 Nov 2021 15:08:38
Fields and Galois Theory by J.S. Milne
English | PDF | 2021 | 141 Pages | ISBN : N/A | 1 MB
(Mostly) Commutative Algebra
Date: 13 Apr 2021 15:52:32
(Mostly) Commutative Algebra by Antoine Chambert-Loir
English | PDF | 2021 | 471 Pages | ISBN : 3030615944 | 7.5 MB
This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. The topics introduced include arithmetic of rings, modules, especially principal ideal rings and the classification of modules over such rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts involved in algebraic geometry.
Modern Algebra and the Rise of Mathematical Structures: Second revised edition
Date: 22 Nov 2020 22:15:19
Modern Algebra and the Rise of Mathematical Structures: Second revised edition by Leo Corry
English | PDF | 2004 | 463 Pages | ISBN : 3764370025 | 64.1 MB
The notion of a mathematical structure is among the most pervasive ones in twentieth-century mathematics. Modern Algebra and the Rise of Mathematical Structures describes two stages in the historical development of this notion: first, it traces its rise in the context of algebra from the mid-nineteenth century to its consolidation by 1930, and then it considers several attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
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Date: 21 Mar 2020 22:47:50
Graphs on Surfaces and Their Applications by Sergei K. Lando
English | PDF | 2004 | 463 Pages | ISBN : 3540002030 | 3.89 MB
Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research.