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Category: Geometry

Download Geometric Analysis of PDE and Several Complex Variables: by Sagun Chanillo, Paulo D. Cordaro, Nicholas Hanges, Jorge PDF

By Sagun Chanillo, Paulo D. Cordaro, Nicholas Hanges, Jorge Hounie, Abdelhamid Meziani

This quantity is devoted to Francois Treves, who made significant contributions to the geometric aspect of the speculation of partial differential equations (PDEs) and several other advanced variables. one in every of his best-known contributions, mirrored in lots of of the articles the following, is the learn of hypo-analytic constructions. a global crew of recognized mathematicians contributed to the quantity. Articles of this name quite often replicate the interplay of geometry and research that's usual of Treves' paintings, resembling the examine of the specific sorts of partial differential equations that come up together with CR-manifolds, symplectic geometry, or certain households of vector fields. there are various themes in research and PDEs coated the following, unified via their connections to geometry. the cloth is appropriate for graduate scholars and examine mathematicians drawn to geometric research of PDEs and several other advanced variables

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Download Complex Manifolds and Hyperbolic Geometry: II Iberoamerican by Mexico) Iberoamerican Congress on Geometry 2001 (Guanajuato, PDF

By Mexico) Iberoamerican Congress on Geometry 2001 (Guanajuato, William Harvey, Sevin Recillas-Pishmish

This quantity derives from the second one Iberoamerican Congress on Geometry, held in 2001 in Mexico on the Centro de Investigacion en Matematicas A.C., an across the world well-known software of study in natural arithmetic. The convention issues have been selected with an eye fixed towards the presentation of latest tools, contemporary effects, and the production of extra interconnections among the various learn teams operating in complicated manifolds and hyperbolic geometry. This quantity displays either the team spirit and the range of those matters. Researchers around the world were engaged on difficulties touching on Riemann surfaces, in addition to a large scope of different matters: the speculation of Teichmuller areas, theta features, algebraic geometry and classical functionality idea. incorporated listed below are discussions revolving round questions of geometry which are similar in a single means or one other to features of a posh variable.There are individuals on Riemann surfaces, hyperbolic geometry, Teichmuller areas, and quasiconformal maps. advanced geometry has many functions - triangulations of surfaces, combinatorics, traditional differential equations, complicated dynamics, and the geometry of particular curves and jacobians, between others. during this e-book, examine mathematicians in advanced geometry, hyperbolic geometry and Teichmuller areas will discover a number of robust papers by means of foreign specialists

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Download Johannes de Tinemue's Redaction of Euclid's Elements, the by H. L. L. Busard PDF

By H. L. L. Busard

Euklids Hauptwerk, die Elemente, gilt als dasjenige wissenschaftliche Werk, das am häufigsten bearbeitet und benutzt wurde; es struggle ueber 2000 Jahre lang nicht nur das mathematische Lehrbuch schlechthin, sondern es beeinfluáte auch die Entwicklung anderer wissenschaftlicher Disziplinen. Das Werk wurde im 12. Jahrhundert aus dem Arabischen ins Lateinische uebersetzt, u.a. von Adelhard von bathtub. Diese Übersetzung wurde der Ausgangspunkt fuer zahlreiche weitere Bearbeitungen, wie die Redaktion, die um 1200 wahrscheinlich von Johannes de Tinemue angefertigt wurde. Campanus, der in den Jahren 1255/59 die fuer Jahrhunderte maágebende Euklid-Ausgabe besorgte, hat diese Redaktion sehr wahrscheinlich auch gekannt. "It is remember the fact that that the well known Euclid editor Busard has back learned a masterly edition." Mathematical experiences "àBusard's variation is necessary for our realizing of excessive medieval arithmetic. " Centaurus.

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Download A Garden of Integrals (Dolciani Mathematical Expositions) by Frank Burk PDF

By Frank Burk

The spinoff and the vital are the elemental notions of calculus. notwithstanding there's basically just one spinoff, there's a number of integrals, constructed through the years for a number of reasons, and this e-book describes them. No different unmarried resource treats all the integrals of Cauchy, Riemann, Riemann-Stieltjes, Lebesgue, Lebesgue-Steiltjes, Henstock-Kurzweil, Weiner, and Feynman. the fundamental houses of every are proved, their similarities and modifications are mentioned, and the cause of their life and their makes use of are given. there's considerable historic info. The viewers for the e-book is complicated undergraduate arithmetic majors, graduate scholars, and college contributors. Even skilled college participants are not likely to pay attention to the entire integrals within the backyard of Integrals and the booklet offers a chance to work out them and get pleasure from their richness. Professor Burks transparent and well-motivated exposition makes this publication a pleasure to learn. The e-book can function a reference, as a complement to classes that come with the idea of integration, and a resource of routines in research. there's no different ebook love it.

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Download Algebraic geometry 02 Cohomology of algebraic varieties, by I.R. Shafarevich (editor), R. Treger, V.I. Danilov, V.A. PDF

By I.R. Shafarevich (editor), R. Treger, V.I. Danilov, V.A. Iskovskikh

This EMS quantity involves elements. the 1st half is dedicated to the exposition of the cohomology thought of algebraic forms. the second one half offers with algebraic surfaces. The authors have taken pains to offer the cloth conscientiously and coherently. The publication comprises a number of examples and insights on a variety of topics.This ebook can be immensely valuable to mathematicians and graduate scholars operating in algebraic geometry, mathematics algebraic geometry, advanced research and comparable fields.The authors are recognized specialists within the box and I.R. Shafarevich can be recognized for being the writer of quantity eleven of the Encyclopaedia.

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Download Geometrie der Raumzeit: Eine mathematische Einführung in die by Rainer Oloff PDF

By Rainer Oloff

Die Relativit?tstheorie ist in ihren Kernaussagen nicht mehr umstritten, gilt aber noch immer als kompliziert und nur schwer verstehbar. Das liegt unter anderem an dem aufwendigen mathematischen Apparat, der schon zur Formulierung ihrer Ergebnisse und erst recht zum Nachvollziehen der Argumentation notwendig ist. In diesem Lehrbuch werden die mathematischen Grundlagen der Relativit?tstheorie systematisch entwickelt, das ist die Differentialgeometrie auf Mannigfaltigkeiten einschlie?lich Differentiation und Integration. Die Spezielle Relativit?tstheorie wird als Tensorrechnung auf den Tangentialr?umen dargestellt. Die zentrale Aussage der Allgemeinen Relativit?tstheorie ist die Einsteinsche Feldgleichung, die die Kr?mmung zur Materie in Beziehung setzt. Ausf?hrlich werden die relativistischen Effekte im Sonnensystem einschlie?lich der Schwarzen L?cher behandelt. Der textual content richtet sich an Studierende der Physik und der Mathematik und setzt nur Grundkenntnisse aus der klassischen Differential- und Integralrechnung und der Linearen Algebra voraus.

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Download The Geometry of Moduli Spaces of Sheaves: A Publication of by Dr. Daniel Huybrechts, Dr. Manfred Lehn (auth.) PDF

By Dr. Daniel Huybrechts, Dr. Manfred Lehn (auth.)

Diese Monographie gibt eine Einführung in ein aktuelles Teilgebiet der Algebraischen Geometrie: Die Theorie der Modulräume für Vektorbündel und kohärente Garben hat sich in der letzten Zeit in vielen Richtungen entwickelt und findet Interesse in zahlreichen mathematischen Zentren, z. B. in Bonn oder an der Harvard collage, USA.

Introduction - Preliminaries - households of Sheaves - The Grauert-Mülich Theorem - Moduli areas - building tools - Moduli areas on K3 Surfaces - limit of Sheaves to Curves - Line Bundles at the Moduli area - Irreducibility and Smoothness - Symplectic constructions - Birational Properties

Diplomstudenten höherer Semester und Mathematiker an Universitäten, Institute, Bibliotheken

Über den Autor/Hrsg
Dr. Huybrechts forscht an der Humboldt Universität Berlin und Dr. Lehn an der Universität Bielefeld.

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