UID:
almahu_9949462115602882
Format:
1 online resource (366 p.) :
,
Num. figs.
ISBN:
9783110250091
,
9783110238570
Series Statement:
De Gruyter Textbook
Content:
A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations; also contains topics that cannot be found elsewhere, and also offers a chapter on cryptography. End of chapter problems help readers with accessing the subjects. This work is co-published with the Heldermann Verlag, and within Heldermann's Sigma Series in Mathematics.
Note:
Frontmatter --
,
Preface --
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Contents --
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1 Groups, Rings and Fields --
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2 Maximal and Prime Ideals --
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3 Prime Elements and Unique Factorization Domains --
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4 Polynomials and Polynomial Rings --
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5 Field Extensions --
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6 Field Extensions and Compass and Straightedge Constructions --
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7 Kronecker's Theorem and Algebraic Closures --
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8 Splitting Fields and Normal Extensions --
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9 Groups, Subgroups and Examples --
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10 Normal Subgroups, Factor Groups and Direct Products --
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11 Symmetric and Alternating Groups --
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12 Solvable Groups --
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13 Groups Actions and the Sylow Theorems --
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14 Free Groups and Group Presentations --
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15 Finite Galois Extensions --
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16 Separable Field Extensions --
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17 Applications of Galois Theory --
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18 The Theory of Modules --
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19 Finitely Generated Abelian Groups --
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20 Integral and Transcendental Extensions --
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21 The Hilbert Basis Theorem and the Nullstellensatz --
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22 Algebraic Cryptography --
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Bibliography --
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Index
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Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011, De Gruyter, 9783110261189
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011, De Gruyter, 9783110261233
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011, De Gruyter, 9783110261202
Language:
English
DOI:
10.1515/9783110250091
URL:
https://doi.org/10.1515/9783110250091
URL:
https://www.degruyter.com/isbn/9783110250091
