Algebraic Surfaces, Oscar Zariski; S.S. Abhyankar; Jeffrey Lipman; D.

Автор: Hatcher A.
Название: Algebraic topology
ISBN: 0521795400 ISBN-13(EAN): 9780521795401
Издательство: Cambridge Academ
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Описание: An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.

Автор: Shreeram S. Abhyankar
Название: Resolution of Singularities of Embedded Algebraic Surfaces
ISBN: 3540637192 ISBN-13(EAN): 9783540637196
Издательство: Springer
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Описание: Most points of a variety are simple points. Singularities are special points, or points of multiplicity greater than one. Points of multiplicity two are double points, points of multiplicity three are tripie points, and so on. A nodal point of a curve is a double point where the curve crosses itself, such as the alpha curve.

Автор: Cavalieri
Название: Riemann Surfaces and Algebraic Curves
ISBN: 110714924X ISBN-13(EAN): 9781107149243
Издательство: Cambridge Academ
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Описание: Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field in algebraic geometry. Designed for undergraduate study, this classroom-tested text demonstrates the connections between diverse areas of mathematics and features short essays by guest writers as well as over 100 exercises for the reader.

Автор: M. Miyanishi
Название: Non-complete Algebraic Surfaces
ISBN: 3540107037 ISBN-13(EAN): 9783540107033
Издательство: Springer
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Автор: Tor Dokken; Bert J?ttler
Название: Computational Methods for Algebraic Spline Surfaces
ISBN: 3642062334 ISBN-13(EAN): 9783642062339
Издательство: Springer
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Описание: This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces ("COMPASS"), which was held from September 29 to October 3, 2003, at Schloss Weinberg, Kefermarkt (A- tria).

Автор: Shreeram S. Abhyankar
Название: Resolution of Singularities of Embedded Algebraic Surfaces
ISBN: 364208351X ISBN-13(EAN): 9783642083518
Издательство: Springer
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Автор: Bobenko
Название: Computational Approach to Riemann Surfaces
ISBN: 3642174124 ISBN-13(EAN): 9783642174124
Издательство: Springer
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Описание: This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter. At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applications that involve the evaluation of concrete characteristics of models analytically described in terms of Riemann surfaces. Many problem settings and computations in this volume are motivated by such concrete applications in geometry and mathematical physics.

Автор: Hartshorne
Название: Algebraic Geometry
ISBN: 0387902449 ISBN-13(EAN): 9780387902449
Издательство: Springer
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Описание: This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P.