9783528031374 - local analytic geometry von de jong, theo (12 Ergebnisse)

Sprache: Englisch
Verlag: Friedrich Vieweg & Sohn Verlagsgesellschaft mbH, Wiesbaden 2000
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Paperback. Zustand: new. Paperback. Algebraic geometry is, loosely speaking, concerned with the study of zero sets of polynomials (over an algebraically closed field). As one often reads in prefaces of int- ductory books on algebraic geometry, it is not so easy to develop the basics of algebraic geometry without a proper knowled…ge of commutative algebra. On the other hand, the commutative algebra one needs is quite difficult to understand without the geometric motivation from which it has often developed. Local analytic geometry is concerned with germs of zero sets of analytic functions, that is, the study of such sets in the neighborhood of a point. It is not too big a surprise that the basic theory of local analytic geometry is, in many respects, similar to the basic theory of algebraic geometry. It would, therefore, appear to be a sensible idea to develop the two theories simultaneously. This, in fact, is not what we will do in this book, as the "commutative algebra" one needs in local analytic geometry is somewhat more difficult: one has to cope with convergence questions. The most prominent and important example is the substitution of division with remainder. Its substitution in local analytic geometry is called the Weierstraft Division Theorem. The above remarks motivated us to organize the first four chapters of this book as follows. In Chapter 1 we discuss the algebra we need. Here, we assume the reader attended courses on linear algebra and abstract algebra, including some Galois theory. Algebraic geometry is, loosely speaking, concerned with the study of zero sets of polynomials (over an algebraically closed field). It is not too big a surprise that the basic theory of local analytic geometry is, in many respects, similar to the basic theory of algebraic geometry. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Sprache: Englisch
Verlag: Braunschweig. Friedr. Vieweg & Sohn Verlagsgesellschaft mbH. 2000
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kartoniert kartoniert. Zustand: Sehr gut. 382 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden… mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 658.

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Sprache: Englisch
Verlag: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag 2000
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Algebraic geometry is, loosely speaking, concerned with the study of zero sets of polynomials (over an algebraically closed field). As one often reads in prefaces of int- ductory books on algebraic geometry, it is not so easy to develop the basics of… algebraic geometry without a proper knowledge of commutative algebra. On the other hand, the commutative algebra one needs is quite difficult to understand without the geometric motivation from which it has often developed. Local analytic geometry is concerned with germs of zero sets of analytic functions, that is, the study of such sets in the neighborhood of a point. It is not too big a surprise that the basic theory of local analytic geometry is, in many respects, similar to the basic theory of algebraic geometry. It would, therefore, appear to be a sensible idea to develop the two theories simultaneously. This, in fact, is not what we will do in this book, as the 'commutative algebra' one needs in local analytic geometry is somewhat more difficult: one has to cope with convergence questions. The most prominent and important example is the substitution of division with remainder. Its substitution in local analytic geometry is called the Weierstraft Division Theorem. The above remarks motivated us to organize the first four chapters of this book as follows. In Chapter 1 we discuss the algebra we need. Here, we assume the reader attended courses on linear algebra and abstract algebra, including some Galois theory.

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Sprache: Englisch
Verlag: Friedrich Vieweg & Sohn Verlagsgesellschaft mbH, Wiesbaden 2000
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Paperback. Zustand: new. Paperback. Algebraic geometry is, loosely speaking, concerned with the study of zero sets of polynomials (over an algebraically closed field). As one often reads in prefaces of int- ductory books on algebraic geometry, it is not so easy to develop the basics of algebraic geometry without a proper knowled…ge of commutative algebra. On the other hand, the commutative algebra one needs is quite difficult to understand without the geometric motivation from which it has often developed. Local analytic geometry is concerned with germs of zero sets of analytic functions, that is, the study of such sets in the neighborhood of a point. It is not too big a surprise that the basic theory of local analytic geometry is, in many respects, similar to the basic theory of algebraic geometry. It would, therefore, appear to be a sensible idea to develop the two theories simultaneously. This, in fact, is not what we will do in this book, as the "commutative algebra" one needs in local analytic geometry is somewhat more difficult: one has to cope with convergence questions. The most prominent and important example is the substitution of division with remainder. Its substitution in local analytic geometry is called the Weierstraft Division Theorem. The above remarks motivated us to organize the first four chapters of this book as follows. In Chapter 1 we discuss the algebra we need. Here, we assume the reader attended courses on linear algebra and abstract algebra, including some Galois theory. Algebraic geometry is, loosely speaking, concerned with the study of zero sets of polynomials (over an algebraically closed field). It is not too big a surprise that the basic theory of local analytic geometry is, in many respects, similar to the basic theory of algebraic geometry. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Sprache: Englisch
Verlag: Vieweg+Teubner, Vieweg+Teubner Verlag Apr 2000 2000
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Algebraic geometry is, loosely speaking, concerned with the study of zero sets of polynomials (over an algebraically closed field). As one often reads in prefaces of int- ductory books on algebraic geometry, it is not so easy to devel…op the basics of algebraic geometry without a proper knowledge of commutative algebra. On the other hand, the commutative algebra one needs is quite difficult to understand without the geometric motivation from which it has often developed. Local analytic geometry is concerned with germs of zero sets of analytic functions, that is, the study of such sets in the neighborhood of a point. It is not too big a surprise that the basic theory of local analytic geometry is, in many respects, similar to the basic theory of algebraic geometry. It would, therefore, appear to be a sensible idea to develop the two theories simultaneously. This, in fact, is not what we will do in this book, as the 'commutative algebra' one needs in local analytic geometry is somewhat more difficult: one has to cope with convergence questions. The most prominent and important example is the substitution of division with remainder. Its substitution in local analytic geometry is called the Weierstraft Division Theorem. The above remarks motivated us to organize the first four chapters of this book as follows. In Chapter 1 we discuss the algebra we need. Here, we assume the reader attended courses on linear algebra and abstract algebra, including some Galois theory. 384 pp. Englisch.

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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Die Autoren, Hochschuldozent Dr. Theo de Jong und Prof. Dr. Gerhard Pfister, lehren an den Universitaeten Saarbruecken bzw. Kaiserslautern im Fachgebiet Mathematik.Auf der Grundlage einer Einfuehrung in die kommutative…Algebra, algebraischeGeometr.

Sprache: Englisch
Verlag: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Apr 2000 2000
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Auf der Grundlage einer Einführung in die kommutative Algebra, algebraischeGeometrie und komplexe Analysis werden zunächst Kurvensingularitätenuntersucht. Daran schließen Ergebnisse an, die zum ersten Mal in einemLehrbuch aufgenommen wurd…en, das Verhalten von Invarianten in FamilienStandardbasen für konvergente Potenzreihenringe, ApproximationssätzeGrauerts Satz über die Existenz der versellen Deformation.Vieweg+Teubner Verlag, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 400 pp. Englisch.