Diophantine Geometry

An Introduction

Author: Marc Hindry,Joseph H. Silverman

Publisher: Springer Science & Business Media

ISBN: 1461212103

Category: Mathematics

Page: 561

View: 5488

DOWNLOAD NOW »
This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.

Heights in Diophantine Geometry

Author: Enrico Bombieri,Walter Gubler

Publisher: Cambridge University Press

ISBN: 9780521712293

Category: Mathematics

Page: 652

View: 433

DOWNLOAD NOW »
This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

Integral Points on Algebraic Varieties

An Introduction to Diophantine Geometry

Author: Pietro Corvaja

Publisher: Springer

ISBN: 9811026483

Category: Mathematics

Page: 75

View: 2380

DOWNLOAD NOW »
This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on algebraic varieties. This text rapidly introduces problems in Diophantine geometry, especially those involving integral points, assuming a geometrical perspective. It presents recent results not available in textbooks and also new viewpoints on classical material. In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs. A central role is played by Siegel’s finiteness theorem for integral points on curves. The book ends with the analysis of integral points on surfaces.

Diophantine geometry

proceedings

Author: Umberto Zannier

Publisher: Birkhauser

ISBN: 9788876422065

Category: Mathematics

Page: 390

View: 2568

DOWNLOAD NOW »
This book contains research articles on Diophantine Geometry, written by participants of a research program held at the Ennio De Giorgi Mathematical Research Center in Pisa, Italy, during the period April - July 2005. The authors are eminent experts in the field. Several subfields of the main topic are presented; the volume thus is particularly useful to get a broad overview of recent research developments.

Number Theory for the Millennium III

Author: Michael A. Bennett

Publisher: A K Peters/CRC Press

ISBN: N.A

Category: Mathematics

Page: 470

View: 7497

DOWNLOAD NOW »
Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field. The conference was the largest general number theory conference in recent history, featuring a total of 159 talks, with the plenary lectures given by George Andrews, Jean Bourgain, Kevin Ford, Ron Graham, Andrew Granville, Roger Heath-Brown, Christopher Hooley, Winnie Li, Kumar Murty, Mel Nathanson, Ken Ono, Carl Pomerance, Bjorn Poonen, Wolfgang Schmidt, Chris Skinner, K. Soundararajan, Robert Tijdeman, Robert Vaughan, and Hugh Williams. The Proceedings Volumes of the conference review some of the major number theory achievements of this century and to chart some of the directions in which the subject will be heading during the new century. These volumes will serve as a useful reference to researchers in the area and an introduction to topics of current interest in number theory for a general audience in mathematics.

PAMQ

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 6790

DOWNLOAD NOW »

Newsletter

Author: New Zealand Mathematical Society

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 8578

DOWNLOAD NOW »

Elementary Geometry of Algebraic Curves

An Undergraduate Introduction

Author: C. G. Gibson

Publisher: Cambridge University Press

ISBN: 9780521646413

Category: Mathematics

Page: 250

View: 5976

DOWNLOAD NOW »
Here is an introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book is well illustrated and contains several hundred worked examples and exercises. From the familiar lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bezout, while the ideas of linear systems are used to discuss the classical group structure on the cubic.

Model Theory : An Introduction

Author: David Marker

Publisher: Springer Science & Business Media

ISBN: 0387987606

Category: Mathematics

Page: 345

View: 4651

DOWNLOAD NOW »
Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures

Zahlentheorie

Algebraische Zahlen und Funktionen

Author: Helmut Koch

Publisher: Springer-Verlag

ISBN: 3322803120

Category: Mathematics

Page: 344

View: 5025

DOWNLOAD NOW »
Hauptziel des Buches ist die Vermittlung des Grundbestandes der Algebraischen Zahlentheorie einschließlich der Theorie der normalen Erweiterungen bis hin zu einem Ausblick auf die Klassenkörpertheorie. Gleichberechtigt mit algebraischen Zahlen werden auch algebraische Funktionen behandelt. Dies geschieht einerseits um die Analogie zwischen Zahl- und Funktionenkörpern aufzuzeigen, die besonders deutlich im Falle eines endlichen Konstantenkörpers ist. Andererseits erhält man auf diese Weise eine Einführung in die Theorie der "höheren Kongruenzen" als eines wesentlichen Bestandteils der "Arithmetischen Geometrie". Obgleich das Buch hauptsächlich algebraischen Methoden gewidmet ist, findet man in der Einleitung auch einen kurzen Beweis des Primzahlsatzes nach Newman. In den Kapiteln 7 und 8 wird die Theorie der Heckeschen L-Reihen behandelt einschließlich der Verteilung der Primideale algebraischer Zahlkörper in Kegeln.

Colloquium De Giorgi 2006

Author: Umberto Zannier

Publisher: Edizioni della Normale

ISBN: N.A

Category: Mathematics

Page: 57

View: 740

DOWNLOAD NOW »
This book contains expositions of talks of the Colloquio De Giorgi, given by eminent experts and addressed to a ‘general’ public (audience) of mathematicians. The topics are prepared in such a way that readers will get some idea of recent progress in several mathematical fields.

Von Fermat bis Minkowski

Eine Vorlesung über Zahlentheorie und ihre Entwicklung

Author: W. Scharlau,H. Opolka

Publisher: Springer-Verlag

ISBN: 3642618499

Category: Mathematics

Page: 226

View: 5213

DOWNLOAD NOW »

Ebene algebraische Kurven

Author: Gerd Fischer

Publisher: Springer-Verlag

ISBN: 3322803112

Category: Mathematics

Page: 177

View: 4937

DOWNLOAD NOW »
Neben den elementaren Dingen, wie Tangenten, Singularitäten und Wendepunkten werden auch schwierigere Begriffe wie lokale Zweige und Geschlecht behandelt. Höhepunkte sind die klassischen Formeln von Plücker und Clebsch, die Beziehungen zwischen verschiedenen globalen und lokalen Invarianten einer Kurve beschreiben.