Academic
Part I Preliminaries -- 1 Relations and Functions -- 2 The Integers and Modular Arithmetic -- Part II Groups -- 3 Introduction to Groups -- 4 Factor Groups and Homomorphisms -- 5 Direct Products and the Classification of Finite Abelian Groups -- 6 Symmetric and Alternating Groups -- 7 The Sylow Theorems -- Part III Rings -- 8 Introduction to Rings -- 9 Ideals, Factor Rings and Homomorphisms -- 10 Special Types of Domains -- Part IV Fields and Polynomials -- 11 Irreducible Polynomials -- 12 Vector Spaces and Field Extensions -- Part V Applications -- 13 Public Key Cryptography -- 14 Straightedge and Compass Constructions -- A The Complex Numbers -- B Matrix Algebra -- Solutions -- Index.
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English
9783319776491 3319776495
10.1007/978-3-319-77649-1 doi
com.springer.onix.9783319776491 Springer Nature
GBB934987 bnb
Algebra, Abstract., Associative rings., Rings (Algebra), Algebra., Group theory., Algebraic fields., Algebra, Abstract., Algebra., Groups & group theory., Mathematics, AlgebraAbstract.