Abstract Algebra with Applications

Volume 2: Rings and Fields

Karlheinz Spindler (Autor)

Buch | Softcover

552 Seiten

2019
CRC Press (Verlag)
978-0-367-40224-2 (ISBN)

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A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.

Spindler, Karlheinz

Rings And Fields Introduction: The Art of Doing Arithmetic Rings and Ring Homomorphisms Integral Domains and Fields Polynomial and Power Series Rings Ideals and Quotient Rings Ideals in Commutative Rings Factorization in Integral Domains Factorization in Polynomial and Power Series Rings Number-Theoretical Applications of Unique Factorization Modules Noetherian Rings Field Extensions Splitting Fields and Normal Extensions Separability of Field Extensions Field Theory and Integral Ring Extensions Affine Algebras Ring Theory and Algebraic Geometry Localization Factorization of Ideals Introduction to Galois Theory: Solving Polynomial Equations The Galois Group of a Field Extension Algebraic Galois Extensions The Galois Group of a Polynomial Roots of Unity and Cyclotomic Polynomials Pure Equations and Cyclic Extensions Solvable Equations and Radical Extensions Epilogue: The Idea of Lie Theory as a Galois Theory for Differential Equations Bibliography

Erscheinungsdatum	30.09.2019
Reihe/Serie	Chapman & Hall/CRC Pure and Applied Mathematics
Verlagsort	London
Sprache	englisch
Maße	174 x 246 mm
Gewicht	1020 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	0-367-40224-6 / 0367402246
ISBN-13	978-0-367-40224-2 / 9780367402242
Zustand	Neuware