Zur Startseite gehen
0,00 €*
Cover: 9780387977164 | Algebraic Geometry | A First Course | Joe Harris | Buch | xix | 1992
Bild: 9780387977164 | Algebraic Geometry | A First Course | Joe Harris | Buch | xix | 1992
Cover: 9780387977164 | Algebraic Geometry | A First Course | Joe Harris | Buch | xix | 1992
Bild: 9780387977164 | Algebraic Geometry | A First Course | Joe Harris | Buch | xix | 1992
Dekorationsartikel gehören nicht zum Leistungsumfang.
Algebraic Geometry
A First Course
Buch von Joe Harris
Sprache: Englisch

64,19 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Ultimately, the subject was pushed beyond the limits of its foundations: by the end of its period the Italian school had progressed to the point where the language and techniques of the subject could no longer serve to express or carry out the ideas of its best practitioners.
This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Ultimately, the subject was pushed beyond the limits of its foundations: by the end of its period the Italian school had progressed to the point where the language and techniques of the subject could no longer serve to express or carry out the ideas of its best practitioners.
Zusammenfassung
This book provides an elementary introduction to algebraic geometry. The reader is introduced to principal objects, methods and goals of the subject. Theory is developed concurrently with many examples and exercises enabling the student to better understand the subject matter. Prerequisites include some linear and multilinear algebra and a basic background in abstract algebra.
Inhaltsverzeichnis
I: Examples of Varieties and Maps.- Lecture 1 Affine and Projective Varieties.- Lecture 2 Regular Functions and Maps.- Lecture 3 Cones, Projections, and More About Products.- Lecture 4 Families and Parameter Spaces.- Lecture 5 Ideals of Varieties, Irreducible Decomposition, and the Nullstellensatz.- Lecture 6 Grassmannians and Related Varieties.- Lecture 7 Rational Functions and Rational Maps.- Lecture 8 More Examples.- Lecture 9 Determinantal Varieties.- Lecture 10 Algebraic Groups.- II: Attributes of Varieties.- Lecture 11 Definitions of Dimension and Elementary Examples.- Lecture 12 More Dimension Computations.- Lecture 13 Hilbert Polynomials.- Lecture 14 Smoothness and Tangent Spaces.- Lecture 15 Gauss Maps, Tangential and Dual Varieties.- Lecture 16 Tangent Spaces to Grassmannians.- Lecture 17 Further Topics Involving Smoothness and Tangent Spaces.- Lecture 18 Degree.- Lecture 19 Further Examples and Applications of Degree.- Lecture 20 Singular Points and Tangent Cones.- Lecture 21 Parameter Spaces and Moduli Spaces.- Lecture 22 Quadrics.- Hints for Selected Exercises.- References.
Details
Erscheinungsjahr: 1992
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Graduate Texts in Mathematics
Inhalt: xix
330 S.
ISBN-13: 9780387977164
ISBN-10: 0387977163
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Harris, Joe
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 241 x 160 x 25 mm
Von/Mit: Joe Harris
Erscheinungsdatum: 17.09.1992
Gewicht: 0,699 kg
Artikel-ID: 104859058
Zusammenfassung
This book provides an elementary introduction to algebraic geometry. The reader is introduced to principal objects, methods and goals of the subject. Theory is developed concurrently with many examples and exercises enabling the student to better understand the subject matter. Prerequisites include some linear and multilinear algebra and a basic background in abstract algebra.
Inhaltsverzeichnis
I: Examples of Varieties and Maps.- Lecture 1 Affine and Projective Varieties.- Lecture 2 Regular Functions and Maps.- Lecture 3 Cones, Projections, and More About Products.- Lecture 4 Families and Parameter Spaces.- Lecture 5 Ideals of Varieties, Irreducible Decomposition, and the Nullstellensatz.- Lecture 6 Grassmannians and Related Varieties.- Lecture 7 Rational Functions and Rational Maps.- Lecture 8 More Examples.- Lecture 9 Determinantal Varieties.- Lecture 10 Algebraic Groups.- II: Attributes of Varieties.- Lecture 11 Definitions of Dimension and Elementary Examples.- Lecture 12 More Dimension Computations.- Lecture 13 Hilbert Polynomials.- Lecture 14 Smoothness and Tangent Spaces.- Lecture 15 Gauss Maps, Tangential and Dual Varieties.- Lecture 16 Tangent Spaces to Grassmannians.- Lecture 17 Further Topics Involving Smoothness and Tangent Spaces.- Lecture 18 Degree.- Lecture 19 Further Examples and Applications of Degree.- Lecture 20 Singular Points and Tangent Cones.- Lecture 21 Parameter Spaces and Moduli Spaces.- Lecture 22 Quadrics.- Hints for Selected Exercises.- References.
Details
Erscheinungsjahr: 1992
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Graduate Texts in Mathematics
Inhalt: xix
330 S.
ISBN-13: 9780387977164
ISBN-10: 0387977163
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Harris, Joe
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 241 x 160 x 25 mm
Von/Mit: Joe Harris
Erscheinungsdatum: 17.09.1992
Gewicht: 0,699 kg
Artikel-ID: 104859058
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9783642017100 | Riemannsche Flächen | Klaus Lamotke | Taschenbuch | 2009 | Springer
Riemannsche Flächen
EAN: 9783642017100
Sprache: Deutsch
Von/Mit: Klaus Lamotke

44,99 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783486583915 | Komplexe Systeme | Neue Ansätze und zahlreiche Beispiele | Frank Brand
Komplexe Systeme
Neue Ansätze und zahlreiche Beispiele
EAN: 9783486583915
Sprache: Deutsch
Von/Mit: Frank Brand

39,80 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9780470853245 | Introduction to Quantum Mechanics | A C Phillips | Taschenbuch | 2003
Introduction to Quantum Mechanics
EAN: 9780470853245
Sprache: Englisch
Von/Mit: A C Phillips

66,00 €*

Aktuell nicht verfügbar

Buch
Cover: 9783319234878 | Homotopical Topology | Dmitry Fuchs (u. a.) | Buch | xi | Englisch
Homotopical Topology
EAN: 9783319234878
Sprache: Englisch
Von/Mit: Dmitry Fuchs (u. a.)

63,85 €*

Lieferzeit 1-2 Wochen

Buch
Cover: 9783956866883 | Grundkompetenz Geometrie | Buch | Deutsch | 2014 | Kohl Verlag
Grundkompetenz Geometrie
Optik - Auge-Hand-Koordination - Räumliches Denktraining
EAN: 9783956866883
Sprache: Deutsch
Von/Mit: Hans-J Schmidt
Maße: 297 x 212 x 10 mm
Empfohlen (von): 6

18,80 €*

Lieferzeit 1-2 Werktage

Buch
Cover: 9783110152791 | Einführung in die angewandte Logik | Theodor G. Bucher | Buch
Einführung in die angewandte Logik
EAN: 9783110152791
Sprache: Deutsch
Von/Mit: Theodor G. Bucher

149,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9781441931450 | Geometry: Euclid and Beyond | Robin Hartshorne | Taschenbuch | 2010
Geometry: Euclid and Beyond
EAN: 9781441931450
Sprache: Englisch
Von/Mit: Robin Hartshorne

58,84 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783060847754 | Einstern Mathematik 02. Themenheft 2 - Ausleihmaterial | Taschenbuch
Einstern Mathematik 02. Themenheft 2 - Ausleihmaterial
EAN: 9783060847754
Sprache: Deutsch
Maße: 296 x 213 x 10 mm
Genre: Schule und Lernen

9,75 €*

Lieferzeit 1-2 Werktage

Buch
Cover: 9783030995577 | Feynman Integrals | Stefan Weinzierl | Buch | UNITEXT for Physics
Feynman Integrals
A Comprehensive Treatment for Students and Researchers
EAN: 9783030995577
Sprache: Englisch
Von/Mit: Stefan Weinzierl

117,69 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783141288667 | Erlebnis Mathematik 5. Arbeitsbuch Inklusion 5. Nordrhein-Westfalen
Erlebnis Mathematik 5. Arbeitsbuch Inklusion 5. Nordrhein-Westfalen
Ausgabe 2024
EAN: 9783141288667
Sprache: Deutsch
Maße: 294 x 208 x 11 mm

13,95 €*

Lieferzeit 1-2 Werktage

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...