The Basic Theory of Power Series

Ruiz, Jesús M.:

ISBN 10: 3528065257 / ISBN 13: 9783528065256

Published by Braunschweig, Wiesbaden, Friedr. Vieweg & Sohn, 1993

About this Item

IX, 134 Seiten Innen sehr sauberer, guter Zustand. Softcover, mit den üblichen Bibliotheks-Markierungen, Stempeln und Einträgen, innen wie außen, siehe Bilder. (Evtl. auch Kleber- und/oder Etikettenreste, sowie -abdrücke durch abgelöste Bibliotheksschilder). - Paperback with library label on spine. Easy rubbed corners, good condition. Inside with the common library stamps and inscriptions. Otherwise very clean. B15-02-03D|A54 Altersfreigabe FSK ab 0 Jahre Sprache: Englisch Gewicht in Gramm: 260.

Seller Inventory # 62166

Bibliographic Details

• Title: The Basic Theory of Power Series
• Publisher: Braunschweig, Wiesbaden, Friedr. Vieweg & Sohn
• Publication Date: 1993
• Language: English
• ISBN 10: 3528065257
• ISBN 13: 9783528065256
• Binding: 23 x 16 cm
• Edition: 1. Auflage.
• Condition: Gut
• Weight: 260 grams
• Seller catalogs:
  • Modernes Antiquariat

About this title

Synopsis

The aim of these notes is to cover the basic algebraic tools and results behind the scenes in the foundations of Real and Complex Analytic Geometry. The author has learned the subject through the works of many mathematicians, to all of whom he is indebted. However, as the reader will immediately realize, he was specially influenced by the writings of S.S. Abhyankar and J .-C. Tougeron. In any case, the presentation of all topics is always as elementary as it can possibly be, even at the cost of making some arguments longer. The background formally assumed consists of: 1) Polynomials: roots, factorization, discriminant; real roots, Sturm's Theorem, formally real fields; finite field extensions, Primitive Element Theorem. 2) Ideals and modules: prime and maximal ideals; Nakayama's Lemma; localiza­ tion. 3) Integral dependence: finite ring extensions and going-up. 4) Noetherian rings: primary decomposition, associated primes, Krull's Theorem. 5) Krull dimension: chains of prime ideals, systems of parameters; regular systems of parameters, regular rings. These topics are covered in most texts on Algebra and/or Commutative Algebra. Among them we choose here as general reference the following two: • M. Atiyah, I.G. Macdonald: Introduction to Commutative Algebra, 1969, Addison-Wesley: Massachusetts; quoted [A-McD] . • S. Lang: Algebra, 1965, Addison-Wesley: Massachusetts; quoted [L].

About the Author

Dr. Jésus M. Ruiz ist Professor für Mathematik am Institut für Geometrie und Topologie an der Universität Complutense de Madrid.