The Basic Theory of Power Series - 8 Angebote vergleichen

Lieferung aus: Schweiz, Versandfertig innert 1 - 2 Werktagen.
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]. Taschenbuch, 01.01.1993.

Lieferung aus: Deutschland, Lagernd, zzgl. Versandkosten.
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]. Soft cover.

Lieferung aus: Niederlande, Vermoedelijk 6-8 weken.
bol.com.
This volume covers in a comprehensive way and at an elementary level essentially all the theorems and techniques which are commonly used and needed in any branches of mathematics, particularly in complex and in real analytic geometry, in commutative algebra, in algebraic geometry and in real algebraic geometry. In particular it presents Rueckert's complex nullstellensatz, Risler's real nullstellensatz, Tougeron's implicit function theorem and Artin's approximation theorem, to name a few. Up to n... This volume covers in a comprehensive way and at an elementary level essentially all the theorems and techniques which are commonly used and needed in any branches of mathematics, particularly in complex and in real analytic geometry, in commutative algebra, in algebraic geometry and in real algebraic geometry. In particular it presents Rueckert's complex nullstellensatz, Risler's real nullstellensatz, Tougeron's implicit function theorem and Artin's approximation theorem, to name a few. Up to now a student of any of the subjects mentioned above usually had to learn about power series within the framework of the vast theory of the subject. This had the advantage that he sees many theorems about power series as special instances of more general facts, but on the other hand made it highly time consuming to understand all these theorems. The present book opens another path - one gets acquainted with power series in a direct and elementary way, and then disposes of a good box of tools and examples to penetrate any of the subjects mentioned above, as well as some others. Productinformatie:Taal: Duits;Afmetingen: 0x162x229 mm;Gewicht: 0,00 gram;ISBN10: 3528065257;ISBN13: 9783528065256; Duits | Paperback | 1993.

Lieferung aus: Vereinigte Staaten von Amerika, Versandkosten nach: DEU.
Von Händler/Antiquariat, GridFreed LLC.
Vieweg+Teubner Verlag, 2012-02-29. Paperback. New. New. In shrink wrap. Looks like an interesting title!

Lieferung aus: Deutschland, Versandkostenfrei in die BRD.
Von Händler/Antiquariat, avelibro OHG, 86424 Dinkelscherben.
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Von Händler/Antiquariat, Antiquariat Bücherkiste Thomas Hardenburg, 42105 Wuppertal.
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Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Versandkosten nach: DEU.
Von Händler/Antiquariat, Revaluation Books.
Vieweg+Teubner Verlag, 1993. Paperback. New. 1993 edition. 144 pages. 9.02x0.33x6.38 inches.

Lieferung aus: Deutschland, Versandkostenfrei in die BRD.
Von Händler/Antiquariat, Buchpark GmbH, 14959 Trebbin.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen