Algebra (eBook)

Larry C. Grove (Autor)

eBook Download: EPUB

2012
320 Seiten
Dover Publications (Verlag)
978-0-486-14213-5 (ISBN)

Infos

This graduate-level text is intended for initial courses in algebra that proceed at a faster pace than undergraduate-level courses. Subjects include groups, rings, fields, and Galois theory. 1983 edition. Includes 11 figures. Appendix. References. Index.

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This graduate-level text is intended for initial courses in algebra that begin with first principles but proceed at a faster pace than undergraduate-level courses. It employs presentations and proofs that are accessible to students, and it provides numerous concrete examples.Exercises appear throughout the text, clarifying concepts as they arise; additional exercises, varying widely in difficulty, are included at the ends of the chapters. Subjects include groups, rings, fields and Galois theory, modules, and structure of rings and algebras. Further topics encompass infinite Abelian groups, transcendental field extensions, representations and characters of finite groups, Galois groups, and additional areas.Based on many years of classroom experience, this self-contained treatment breathes new life into abstract concepts.

Inhalt

PrefaceList of SymbolsIntroductionI. GroupsII. RingsIII. Fields and Galois TheoryIV ModulesV. Structure of Rings and AlgebrasVI. Further TopicsAppendixReferencesIndex

Produkt-Details

• Erscheint lt. Verlag: 22.6.2012
• Reihe/Serie: Dover Books on Mathematics
• Zusatzinfo: 11 figs.
• Sprache: englisch
• Maße: 140 x 140 mm
• Gewicht: 345 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Schlagworte: advanced math • Algebra • Algebraic Structures • chinese remainder theorem • college math • Constructability • Euclidean Geometry • Fields • finite groups • Galois groups • Galois Theory • graduate math • groups • group theory • Hilbert Basis Theorem • homomorphisms • infinite abelian groups • linear algebra • Math • Mathematics • matrices • modules • Monoids • polynomials • proofs • pure algebra • Rings • semigroups • Textbook • transcendental field extensions
• ISBN-10: 0-486-14213-2 / 0486142132
• ISBN-13: 978-0-486-14213-5 / 9780486142135