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Geometric Modeling and Algebraic Geometry
Springer 2007; US$ 109.99The two fields of Geometric Modeling and Algebraic Geometry, though closely related, are traditionally represented by two almost disjoint scientific communities. Both fields deal with objects defined by algebraic equations, but the objects are studied in different ways. This contributed book presents, in 12 chapters written by leading experts, recent... more...
Families of Curves and the Origins of Partial Differentiation
Elsevier Science 2000; US$ 223.00This book provides a detailed description of the main episodes in the emergence of partial differentiation during the period 1690-1740. It argues that the development of this concept - to a considerable degree of perfection - took place almost exclusively in problems concerning families of curves. Thus, the book shows the origins of the ideas and techniques... more...
Algebraic Geometry and Arithmetic Curves
Oxford University Press, UK 2006; US$ 84.99This new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text. - ;This new-in-paperback... more...
Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2
Cambridge University Press 1996; US$ 74.00A unique insight into the topic of curves of genus 2, by two of the world's leading practitioners. more...
Plane Algebraic Curves
Springer 2012; US$ 79.99In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and a topic of research to this day. Arising from notes for a course given at the University of Bonn in Germany,... more...
Elementare Algebraische Geometrie
Springer 2012; US$ 31.99Dieses Buch gibt eine Einführung in die Algebraische Geometrie. Ziel ist es, die grundlegenden Begriffe und Techniken der algebraischen Geometrie darzustellen und an Hand zahlreicher Beispiele zu erläutern. Dies soll es dem Leser ermöglichen, selbständig mit weiterführenden Texten zu arbeiten. Die Sprache wird bewusst... more...
A Guide to the Classification Theorem for Compact Surfaces
Springer 2013; US$ 39.99This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated,... more...
Rational Points on Curves over Finite Fields
Cambridge University Press 2001; US$ 75.00Discussion of theory and applications of algebraic curves over finite fields with many rational points. more...
Singularities of Plane Curves
Cambridge University Press 2000; US$ 69.00Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results. more...
Curve and Surface Reconstruction
Cambridge University Press 2006; US$ 38.00After developing the basics of a sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. more...









