Ana Cannas da Silva's Books

Lectures on Symplectic Geometry

By: Ana Cannas da Silva

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Lectures on Symplectic Geometry

By: Ana Cannas da Silva

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.

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Page Count

240

Publisher

Springer

Published Date

ISBN 10

354045330X

ISBN 13

9783540453307

Symplectic Geometry of Integrable Hamiltonian Systems

By: Michèle Audin,Ana Cannas da Silva,Eugene Lerman

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Symplectic Geometry of Integrable Hamiltonian Systems

By: Michèle Audin,Ana Cannas da Silva,Eugene Lerman

Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. This book serves as an introduction to symplectic and contact geometry for graduate students, exploring the underlying geometry of integrable Hamiltonian systems. Includes exercises designed to complement the expositiont, and up-to-date references.

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Page Count

225

Publisher

Birkhäuser

Published Date

ISBN 10

3034880715

ISBN 13

9783034880718

Lectures on Symplectic Geometry

By: Ana Cannas da Silva

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Lectures on Symplectic Geometry

By: Ana Cannas da Silva

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240

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Springer

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ISBN 10

354045330X

ISBN 13

9783540453307

Geometric Models for Noncommutative Algebras

By: Ana Cannas da Silva,Alan Weinstein

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Geometric Models for Noncommutative Algebras

By: Ana Cannas da Silva,Alan Weinstein

The volume is based on a course, ``Geometric Models for Noncommutative Algebras'' taught by Professor Weinstein at Berkeley. Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, for example, the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, and measure spaces. In this work, the authors discuss several types of geometric objects (in the usual sense of sets with structure) that are closely related to noncommutative algebras. Central to the discussion are symplectic and Poisson manifolds, which arise when noncommutative algebras are obtained by deforming commutative algebras. The authors also give a detailed study of groupoids (whose role in noncommutative geometry has been stressed by Connes) as well as of Lie algebroids, the infinitesimal approximations to differentiable groupoids. Featured are many interesting examples, applications, and exercises. The book starts with basic definitions and builds to (still) open questions. It is suitable for use as a graduate text. An extensive bibliography and index are included.

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Page Count

202

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821809520

ISBN 13

9780821809525

Geometric Models for Noncommutative Algebras

By: Ana Cannas da Silva,Alan Weinstein

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Geometric Models for Noncommutative Algebras

By: Ana Cannas da Silva,Alan Weinstein

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202

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American Mathematical Soc.

Published Date

ISBN 10

0821809520

ISBN 13

9780821809525

The Lima Inquisition

The Plight of Crypto-Jews in Seventeenth-Century Peru

By: Ana E. Schaposchnik

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The Lima Inquisition

The Plight of Crypto-Jews in Seventeenth-Century Peru

By: Ana E. Schaposchnik

The Holy Office of the Inquisition (a royal tribunal that addressed issues of heresy and offenses to morality) was established in Peru in 1570 and operated there until 1820. In this book, Ana E. Schaposchnik provides a deeply researched history of the Inquisition’s Lima Tribunal, focusing in particular on the cases of persons put under trial for crypto-Judaism in Lima during the 1600s. Delving deeply into the records of the Lima Tribunal, Schaposchnik brings to light the experiences and perspectives of the prisoners in the cells and torture chambers, as well as the regulations and institutional procedures of the inquisitors. She looks closely at how the lives of the accused—and in some cases the circumstances of their deaths—were shaped by actions of the Inquisition on both sides of the Atlantic. She explores the prisoners’ lives before and after their incarcerations and reveals the variety and character of prisoners’ religiosity, as portrayed in the Inquisition’s own sources. She also uncovers individual and collective strategies of the prisoners and their supporters to stall trials, confuse tribunal members, and attempt to ameliorate or at least delay the most extreme effects of the trial of faith. The Lima Inquisition also includes a detailed analysis of the 1639 Auto General de Fe ceremony of public penance and execution, tracing the agendas of individual inquisitors, the transition that occurred when punishment and surveillance were brought out of hidden dungeons and into public spaces, and the exposure of the condemned and their plight to an avid and awestricken audience. Schaposchnik contends that the Lima Tribunal’s goal, more than volume or frequency in punishing heretics, was to discipline and shape culture in Peru.

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304

Publisher

University of Wisconsin Pres

Published Date

ISBN 10

0299306143

ISBN 13

9780299306144

Inverse Problems and Imaging

Lectures Given at the C.I.M.E. Summer School Held in Martina Franca, Italy, September 15-21, 2002

By: Ana Carpio,Oliver Dorn,Miguel Moscoso,Frank Natterer,George C. Papanicolaou

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Inverse Problems and Imaging

Lectures Given at the C.I.M.E. Summer School Held in Martina Franca, Italy, September 15-21, 2002

By: Ana Carpio,Oliver Dorn,Miguel Moscoso,Frank Natterer,George C. Papanicolaou

In the CIME Summer School on Imaging, experts in mathematical techniques and applications presented useful introductions to many aspects of the field. This volume contains updated lectures as well as additional contributions on other related topics.

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Page Count

207

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540785450

ISBN 13

9783540785453

Symplectic Geometry of Integrable Hamiltonian Systems

By: Michèle Audin,Ana Cannas da Silva,Eugene Lerman

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Symplectic Geometry of Integrable Hamiltonian Systems

By: Michèle Audin,Ana Cannas da Silva,Eugene Lerman

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Page Count

225

Publisher

Springer Verlag

Published Date

ISBN 10

0817621679

ISBN 13

9780817621674

Book's by Ana Cannas da Silva

Lectures on Symplectic Geometry

Lectures on Symplectic Geometry

Symplectic Geometry of Integrable Hamiltonian Systems

Symplectic Geometry of Integrable Hamiltonian Systems

Lectures on Symplectic Geometry

Lectures on Symplectic Geometry

Geometric Models for Noncommutative Algebras

Geometric Models for Noncommutative Algebras

Geometric Models for Noncommutative Algebras

Geometric Models for Noncommutative Algebras

The Lima Inquisition

The Lima Inquisition

Inverse Problems and Imaging

Inverse Problems and Imaging

Symplectic Geometry of Integrable Hamiltonian Systems

Symplectic Geometry of Integrable Hamiltonian Systems

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