Francoise Chatelin's Books

Eigenvalues of Matrices

Revised Edition

By: Francoise Chatelin

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Eigenvalues of Matrices

Revised Edition

By: Francoise Chatelin

A comprehensive and accessible guide to the calculation of eigenvalues of matrices, ideal for undergraduates, or researchers/engineers in industry.

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Page Count

428

Publisher

SIAM

Published Date

ISBN 10

1611972450

ISBN 13

9781611972450

Qualitative Computing: A Computational Journey Into Nonlinearity

By: Francoise Chatelin

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Qualitative Computing: A Computational Journey Into Nonlinearity

By: Francoise Chatelin

High technology industries are in desperate need for adequate tools to assess the validity of simulations produced by ever faster computers for perennial unstable problems. In order to meet these industrial expectations, applied mathematicians are facing a formidable challenge summarized by these words — nonlinearity and coupling. This book is unique as it proposes truly original solutions: (1) Using hypercomputation in quadratic algebras, as opposed to the traditional use of linear vector spaces in the 20th century; (2) complementing the classical linear logic by the complex logic which expresses the creative potential of the complex plane.The book illustrates how qualitative computing has been the driving force behind the evolution of mathematics since Pythagoras presented the first incompleteness result about the irrationality of √2. The celebrated results of Gödel and Turing are but modern versions of the same idea: the classical logic of Aristotle is too limited to capture the dynamics of nonlinear computation. Mathematics provides us with the missing tool, the organic logic, which is aptly tailored to model the dynamics of nonlinearity. This logic will be the core of the “Mathematics for Life” to be developed during this century.

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Page Count

599

Publisher

World Scientific

Published Date

ISBN 10

9814464007

ISBN 13

9789814464000

Spectral Approximation of Linear Operators

By: Francoise Chatelin

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Spectral Approximation of Linear Operators

By: Francoise Chatelin

Originally published: New York: Academic Press, 1983.

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Page Count

482

Publisher

SIAM

Published Date

ISBN 10

0898719992

ISBN 13

9780898719994

Lectures on Finite Precision Computations

By: Francoise Chaitin-Chatelin,Valerie Fraysse

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Lectures on Finite Precision Computations

By: Francoise Chaitin-Chatelin,Valerie Fraysse

Mathematics of Computing -- Numerical Analysis.

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Page Count

244

Publisher

SIAM

Published Date

ISBN 10

0898713587

ISBN 13

9780898713589

Landscape Ecology

Concepts, Methods, and Applications

By: Francoise Burel,Jacques Baudry

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Landscape Ecology

Concepts, Methods, and Applications

By: Francoise Burel,Jacques Baudry

This book is intended as a resource for students and researchers interested in developmental biology and physiology and specifically addresses the larval stages of fish. Fish larvae (and fish embryos) are not small juveniles or adults. Rather they are transitionary organisms that bridge the critical gap between the singlecelled egg and sexually immature juvenile. Fish larvae represent the stage of the life cycle that is used for differentiation, feeding and distribution. The book aims at providing a single-volume treatise that explains how fish larvae develop and differentiate, how they regulate salt, water and acid-base balance, how they transport and exchange gases, acquire and utilise energy, how they sense their environment, and move in their aquatic medium, how they control and defend themselves, and finally how they grow up.

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Page Count

400

Publisher

Science Publishers

Published Date

ISBN 10

1578082145

ISBN 13

9781578082148

Spectral Approximation of Linear Operators

By: Francoise Chatelin

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Spectral Approximation of Linear Operators

By: Francoise Chatelin

This classic textbook provides a unified treatment of spectral approximation for closed or bounded operators as well as for matrices. Despite significant changes and advances in the field since it was first published in 1983, the book continues to form the theoretical bedrock for any computational approach to spectral theory over matrices or linear operators. This coverage of classical results is not readily available elsewhere. The text offers in-depth coverage of properties of various types of operator convergence, the spectral approximation of non-self-adjoint operators, a generalization of classical perturbation theory, and computable errors bounds and iterative refinement techniques, along with many exercises (with solutions), making it a valuable textbook for graduate students and reference manual for self-study.

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Page Count

485

Publisher

SIAM

Published Date

ISBN 10

1611970679

ISBN 13

9781611970678

Qualitative Computing: A Computational Journey Into Nonlinearity

By: Francoise Chatelin

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Qualitative Computing: A Computational Journey Into Nonlinearity

By: Francoise Chatelin

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Solve jigsaw puzzle

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Page Count

599

Publisher

World Scientific

Published Date

ISBN 10

9814464007

ISBN 13

9789814464000

Book's by Francoise Chatelin

Eigenvalues of Matrices

Eigenvalues of Matrices

Qualitative Computing: A Computational Journey Into Nonlinearity

Qualitative Computing: A Computational Journey Into Nonlinearity

Spectral Approximation of Linear Operators

Spectral Approximation of Linear Operators

Lectures on Finite Precision Computations

Lectures on Finite Precision Computations

Landscape Ecology

Landscape Ecology

Spectral Approximation of Linear Operators

Spectral Approximation of Linear Operators

Qualitative Computing: A Computational Journey Into Nonlinearity

Qualitative Computing: A Computational Journey Into Nonlinearity

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