Advances in the Theory of Riemann Surfaces

Advances in the Theory of Riemann Surfaces PDF

Author: Lars Valerian Ahlfors

Publisher: Princeton University Press

Published: 1971-07-21

Total Pages: 436

ISBN-13: 9780691080819

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Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.

Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79

Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 PDF

Author: Leon Greenberg

Publisher: Princeton University Press

Published: 2016-03-02

Total Pages: 452

ISBN-13: 1400881641

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Study 79 contains a collection of papers presented at the Conference on Discontinuous Groups and Ricmann Surfaces at the University of Maryland, May 21-25, 1973. The papers, by leading authorities, deal mainly with Fuchsian and Kleinian groups, Teichmüller spaces, Jacobian varieties, and quasiconformal mappings. These topics are intertwined, representing a common meeting of algebra, geometry, and analysis.

A Primer for Undergraduate Research

A Primer for Undergraduate Research PDF

Author: Aaron Wootton

Publisher: Birkhäuser

Published: 2018-02-06

Total Pages: 314

ISBN-13: 3319660659

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This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading. The content spans the breadth of mathematics, including many topics that are not normally addressed by the undergraduate curriculum (such as matroid theory, mathematical biology, and operations research), yet have few enough prerequisites that the interested student can start exploring them under the guidance of a faculty member. Whether trying to start an undergraduate thesis, embarking on a summer REU, or preparing for graduate school, this book is appropriate for a variety of students and the faculty who guide them.

Riemann Surfaces and Related Topics (AM-97), Volume 97

Riemann Surfaces and Related Topics (AM-97), Volume 97 PDF

Author: Irwin Kra

Publisher: Princeton University Press

Published: 2016-03-02

Total Pages: 533

ISBN-13: 1400881552

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A classic treatment of Riemann surfaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88

Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 PDF

Author: Robion C. Kirby

Publisher: Princeton University Press

Published: 2016-03-02

Total Pages: 368

ISBN-13: 1400881501

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Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.