Elements of abstract algebra

Rubriek: Textual/Printed/Reference Materials - Boek

Prijs: €

Rating: 0/5

☆

☆

☆

☆

☆

Verzending:

This concise, readable, college-level text treats basic abstract algebra in remarkable depth and detail. An antidote to the usual surveys of structure, the book presents group theory, Galois theory, and classical ideal theory in a framework emphasizing proof of important theorems.
Chapter I (Set Theory) covers the basics of sets. Chapter II (Group Theory) is a rigorous introduction to groups. It contains all the results needed for Galois theory as well as the Sylow theorems, the Jordan-Holder theorem, and a complete treatment of the simplicity of alternating groups. Chapter III (Field Theory) reviews linear algebra and introduces fields as a prelude to Galois theory. In addition there is a full discussion of the constructibility of regular polygons. Chapter IV (Galois Theory) gives a thorough treatment of this classical topic, including a detailed presentation of the solvability of equations in radicals that actually includes solutions of equations of degree 3 and 4 ― a feature omitted from all texts of the last 40 years. Chapter V (Ring Theory) contains basic information about rings and unique factorization to set the stage for classical ideal theory. Chapter VI (Classical Ideal Theory) ends with an elementary proof of the Fundamental Theorem of Algebraic Number Theory for the special case of Galois extensions of the rational field, a result which brings together all the major themes of the book.
The writing is clear and careful throughout, and includes many historical notes. Mathematical proof is emphasized. The text comprises 198 articles ranging in length from a paragraph to a page or two, pitched at a level that encourages careful reading. Most articles are accompanied by exercises, varying in level from the simple to the difficult.

• 1 Bekijk alle specificaties

The Balkans 194041 1 Mussolini's Fatal Blunder in the GrecoItalian War Campaign

Rating: 0 / 5 | Prijs: € 16.07

The first of two volumes on the axis campaigns in the balkans exploring mussolini s fateful decision to move against greece in october 1940 when the greek president metaxas rejected the italian ultimatum with a famous oxi no the first of two volumes on the axis campaigns in the balkans Uiterlijk 24 januari in huis .. MEER INFO

PLC Controls with Ladder Diagram (LD)

Rating: 0 / 5
Prijs: 47.71 Nu voor: € 39.99

Uiterlijk 28 januari in huis .. MEER INFO

Peak Performance - Frost Ski Jacket - Zwarte Ski-jas Heren-XL

Rating: 0 / 5 | Prijs: € 392.59

de zwarte frost ski jacket van peak performance is waterdicht winddicht en gevoerd met heerlijk warm dons de stijlvolle ski jas heeft een normale pasvorm en is voorzien van handige extra s zoals een sneeuwvanger en een skipas vakje in de mouw de frost ski jas is warm winddicht waterafstotend Voor 23:59 uur besteld, dinsdag in huis .. MEER INFO

Taal: en

Bindwijze: Paperback

Oorspronkelijke releasedatum: 01 oktober 1984

Aantal pagina's: 224

Illustraties: Nee

Hoofdauteur: Allan Clark

Tweede Auteur: Mathematics

Hoofduitgeverij: INGP

Editie: New edition

Extra groot lettertype: Nee

Product breedte: 146 mm

Product hoogte: 13 mm

Product lengte: 222 mm

Studieboek: Ja

Verpakking breedte: 137 mm

Verpakking hoogte: 214 mm

Verpakking lengte: 13 mm

Verpakkingsgewicht: 253 g

EAN: 9780486647258

---