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Record Nr. |
UNINA9910879594903321 |
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Autore |
Hilgert Joachim |
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Titolo |
Mathematical Structures : From Linear Algebra over Rings to Geometry with Sheaves / / by Joachim Hilgert |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2024 |
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ISBN |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (337 pages) |
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Collana |
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Mathematics Study Resources, , 2731-3832 ; ; 13 |
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Disciplina |
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Soggetti |
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Algebraic geometry |
Global analysis (Mathematics) |
Manifolds (Mathematics) |
Commutative algebra |
Commutative rings |
Algebra, Homological |
Algebraic Geometry |
Global Analysis and Analysis on Manifolds |
Commutative Rings and Algebras |
Category Theory, Homological Algebra |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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I Algebraic Structures -- 1 Rings -- 2 Modules -- 3 Multilinear Algebra -- 4 Pattern Recognition -- II Local Structures -- 5 Sheaves -- 6 Manifolds -- 7 Algebraic Varieties -- III Outlook -- 8 Transfer of Arguments and Structures -- 9 Specialization, Generalization and Unification of Structures. |
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Sommario/riassunto |
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This textbook is intended to be accessible to any second-year undergraduate in mathematics who has attended courses on basic real analysis and linear algebra. It is meant to help students to appreciate the diverse specialized mathematics courses offered at their universities. Special emphasis is on similarities between mathematical fields and ways to compare them. The organizing principle is the concept of a mathematical structure which plays an important role in all areas of mathematics. The mathematical content used to explain the |
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