Algebraic Geometry between Tradition and Future

Algebraic Geometry between Tradition and Future PDF Author: Gilberto Bini
Publisher: Springer Nature
ISBN: 9811982813
Category : Mathematics
Languages : en
Pages : 371

Book Description
An incredible season for algebraic geometry flourished in Italy between 1860, when Luigi Cremona was assigned the chair of Geometria Superiore in Bologna, and 1959, when Francesco Severi published the last volume of the treatise on algebraic systems over a surface and an algebraic variety. This century-long season has had a prominent influence on the evolution of complex algebraic geometry - both at the national and international levels - and still inspires modern research in the area. "Algebraic geometry in Italy between tradition and future" is a collection of contributions aiming at presenting some of these powerful ideas and their connection to contemporary and, if possible, future developments, such as Cremonian transformations, birational classification of high-dimensional varieties starting from Gino Fano, the life and works of Guido Castelnuovo, Francesco Severi's mathematical library, etc. The presentation is enriched by the viewpoint of various researchers of the history of mathematics, who describe the cultural milieu and tell about the bios of some of the most famous mathematicians of those times.

Geometry of Algebraic Curves

Geometry of Algebraic Curves PDF Author: Enrico Arbarello
Publisher: Springer Science & Business Media
ISBN: 3540693920
Category : Mathematics
Languages : en
Pages : 983

Book Description
The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material is of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as vol. 267 of the same series.

From Classical to Modern Algebraic Geometry

From Classical to Modern Algebraic Geometry PDF Author: Gianfranco Casnati
Publisher: Birkhäuser
ISBN: 3319329944
Category : Mathematics
Languages : en
Pages : 760

Book Description
This book commemorates the 150th birthday of Corrado Segre, one of the founders of the Italian School of Algebraic Geometry and a crucial figure in the history of Algebraic Geometry. It is the outcome of a conference held in Turin, Italy. One of the book's most unique features is the inclusion of a previously unpublished manuscript by Corrado Segre, together with a scientific commentary. Representing a prelude to Segre's seminal 1894 contribution on the theory of algebraic curves, this manuscript and other important archival sources included in the essays shed new light on the eminent role he played at the international level. Including both survey articles and original research papers, the book is divided into three parts: section one focuses on the implications of Segre's work in a historic light, while section two presents new results in his field, namely Algebraic Geometry. The third part features Segre's unpublished notebook: Sulla Geometria Sugli Enti Algebrici Semplicemente Infiniti (1890-1891). This volume will appeal to scholars in the History of Mathematics, as well as to researchers in the current subfields of Algebraic Geometry.

The American Mathematical Monthly

The American Mathematical Monthly PDF Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 530

Book Description
Includes section "Recent publications."

Selected Topics in Alegbraic Geometry

Selected Topics in Alegbraic Geometry PDF Author: National Research Council (U.S.). Committee on Rational Transformations
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 412

Book Description


Selected Topics in Algebraic Geometry

Selected Topics in Algebraic Geometry PDF Author: National Research Council (U.S.). Committee on Rational Transformations
Publisher: American Mathematical Soc.
ISBN: 9780828401890
Category : Mathematics
Languages : en
Pages : 518

Book Description
This book resulted from two reports (published in 1928 and 1932) of the Committee on Rational Transformations, established by the National Research Council. The purpose of the reports was to give a comprehensive survey of the literature on the subject. Each chapter is regarded as a separate unit that can be read independently.

Geometry and Complex Variables

Geometry and Complex Variables PDF Author: S. Coen
Publisher: Routledge
ISBN: 1351445278
Category : Mathematics
Languages : en
Pages : 522

Book Description
This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie,B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearch.

Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society PDF Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 560

Book Description


Mathematics and Logic in History and in Contemporary Thought

Mathematics and Logic in History and in Contemporary Thought PDF Author: Ettore Carruccio
Publisher: Routledge
ISBN: 1351506617
Category : Mathematics
Languages : en
Pages : 400

Book Description
This book is not a conventional history of mathematics as such, a museum of documents and scientific curiosities. Instead, it identifies this vital science with the thought of those who constructed it and in its relation to the changing cultural context in which it evolved. Particular emphasis is placed on the philosophic and logical systems, from Aristotle onward, that provide the basis for the fusion of mathematics and logic in contemporary thought.

The Legacy of Niels Henrik Abel

The Legacy of Niels Henrik Abel PDF Author: Olav Arnfinn Laudal
Publisher: Springer Science & Business Media
ISBN: 3642189083
Category : Mathematics
Languages : en
Pages : 785

Book Description
A unique series of fascinating research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields. Some of the authors have been specifically invited to present papers, discussing the influence of Abel in a mathematical-historical context. Others have submitted papers presented at the Abel Bicentennial Conference, Oslo June 3-8, 2002. The idea behind the book has been to produce a text covering a substantial part of the legacy of Abel, as perceived at the beginning of the 21st century.