Linda Preiss Rothschild's Books

Real Submanifolds in Complex Space and Their Mappings (PMS-47)

By: M. Salah Baouendi,Peter Ebenfelt,Linda Preiss Rothschild

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Real Submanifolds in Complex Space and Their Mappings (PMS-47)

By: M. Salah Baouendi,Peter Ebenfelt,Linda Preiss Rothschild

This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students. The techniques in this area borrow from real and complex analysis and partial differential equations, as well as from differential, algebraic, and analytical geometry. In turn, these latter areas have been enriched over the years by the study of problems in several complex variables addressed here. The authors, M. Salah Baouendi, Peter Ebenfelt, and Linda Preiss Rothschild, include extensive preliminary material to make the book accessible to nonspecialists. One of the most important topics that the authors address here is the holomorphic extension of functions and mappings that satisfy the tangential Cauchy-Riemann equations on real submanifolds. They present the main results in this area with a novel and self-contained approach. The book also devotes considerable attention to the study of holomorphic mappings between real submanifolds, and proves finite determination of such mappings by their jets under some optimal assumptions. The authors also give a thorough comparison of the various nondegeneracy conditions for manifolds and mappings and present new geometric interpretations of these conditions. Throughout the book, Cauchy-Riemann vector fields and their orbits play a central role and are presented in a setting that is both general and elementary.

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Page Count

418

Publisher

Princeton University Press

Published Date

ISBN 10

1400883962

ISBN 13

9781400883967

The Legacy of Sonya Kovalevskaya

Proceedings of a Symposium

By: Linda Keen

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The Legacy of Sonya Kovalevskaya

Proceedings of a Symposium

By: Linda Keen

Sonya Kovalevskaya was a distinguished mathematician and considered by her contemporaries to be among the best of her generation. This work contains background material about Kovalevskaya's life and work, including a discussion of how she has been perceived by the mathematical community over the last century.

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Page Count

314

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821850679

ISBN 13

9780821850671

Real Submanifolds in Complex Space and Their Mappings (PMS-47)

By: M. Salah Baouendi,Peter Ebenfelt,Linda Preiss Rothschild

Write a review Read reviews Take a Quiz Solve Book Puzzle

Real Submanifolds in Complex Space and Their Mappings (PMS-47)

By: M. Salah Baouendi,Peter Ebenfelt,Linda Preiss Rothschild

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

418

Publisher

Princeton University Press

Published Date

ISBN 10

1400883962

ISBN 13

9781400883967

Book's by Linda Preiss Rothschild

Real Submanifolds in Complex Space and Their Mappings (PMS-47)

Real Submanifolds in Complex Space and Their Mappings (PMS-47)

The Legacy of Sonya Kovalevskaya

The Legacy of Sonya Kovalevskaya

Real Submanifolds in Complex Space and Their Mappings (PMS-47)

Real Submanifolds in Complex Space and Their Mappings (PMS-47)

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