Mikhael Gromov's Books

Partial Differential Relations

By: Mikhael Gromov

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Partial Differential Relations

By: Mikhael Gromov

The classical theory of partial differential equations is rooted in physics, where equations (are assumed to) describe the laws of nature. Law abiding functions, which satisfy such an equation, are very rare in the space of all admissible functions (regardless of a particular topology in a function space). Moreover, some additional (like initial or boundary) conditions often insure the uniqueness of solutions. The existence of these is usually established with some apriori estimates which locate a possible solution in a given function space. We deal in this book with a completely different class of partial differential equations (and more general relations) which arise in differential geometry rather than in physics. Our equations are, for the most part, undetermined (or, at least, behave like those) and their solutions are rather dense in spaces of functions. We solve and classify solutions of these equations by means of direct (and not so direct) geometric constructions. Our exposition is elementary and the proofs of the basic results are selfcontained. However, there is a number of examples and exercises (of variable difficulty), where the treatment of a particular equation requires a certain knowledge of pertinent facts in the surrounding field. The techniques we employ, though quite general, do not cover all geometrically interesting equations. The border of the unexplored territory is marked by a number of open questions throughout the book.

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Page Count

394

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540121773

ISBN 13

9783540121770

Pattern Formation in Biology, Vision and Dynamics

By: Alessandra Carbone,Mikhael Gromov,Przemyslaw Prusinkiewicz

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Pattern Formation in Biology, Vision and Dynamics

By: Alessandra Carbone,Mikhael Gromov,Przemyslaw Prusinkiewicz

Half a billion years of evolution have turned the eye into an unbelievable pattern detector. Everything we perceive comes in delightful multicolored forms. Now, in the age of science, we want to comprehend what and why we see. Two dozen outstanding biologists, chemists, physicists, psychologists, computer scientists and mathematicians met at the Institut d'Hautes Etudes Scientifiques in Bures-sur-Yvette, France. They expounded their views on the physical, biological and physiological mechanisms creating the tapestry of patterns we see in molecules, plants, insects, seashells, and even the human brain. This volume comprises surveys of different aspects of pattern formation and recognition, and is aimed at the scientifically minded reader.

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Page Count

452

Publisher

World Scientific

Published Date

ISBN 10

9810237928

ISBN 13

9789810237929

Geometries in Interaction

GAFA Special Issue in Honor of Mikhail Gromov

By: Mikhael Gromov,Y. Eliashberg

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Geometries in Interaction

GAFA Special Issue in Honor of Mikhail Gromov

By: Mikhael Gromov,Y. Eliashberg

Contains 14 papers (originally published in Geometric and Functional Analysis, v.5, no.2, 1995) which give a broad overview of recent fundamental developments in modern geometry and related subjects. Among the topics are aspects of long-time behavior of solutions of nonlinear Hamiltonian evolution equations; Lagrangian intersections in contact geometry; and Selberg's eigenvalue conjecture. Includes an exceedingly brief biography (3pp.) and a list of Gromov's (b.1943) publications. No index. Annotation copyright by Book News, Inc., Portland, OR

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Birkhauser

Published Date

ISBN 10

0817652604

ISBN 13

9780817652609

Partial Differential Relations

By: Misha Gromov

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Partial Differential Relations

By: Misha Gromov

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Page Count

372

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662022672

ISBN 13

9783662022672

Metric Structures for Riemannian and Non-Riemannian Spaces

By: Mikhail Gromov

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Metric Structures for Riemannian and Non-Riemannian Spaces

By: Mikhail Gromov

This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices, by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as an extensive bibliography and index round out this unique and beautiful book.

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Page Count

594

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817645837

ISBN 13

9780817645830

Pattern Formation in Biology, Vision and Dynamics

By: Alessandra Carbone,Mikhael Gromov,Przemyslaw Prusinkiewicz

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Pattern Formation in Biology, Vision and Dynamics

By: Alessandra Carbone,Mikhael Gromov,Przemyslaw Prusinkiewicz

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Solve jigsaw puzzle

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Page Count

452

Publisher

World Scientific

Published Date

ISBN 10

9810237928

ISBN 13

9789810237929

Book's by Mikhael Gromov

Partial Differential Relations

Partial Differential Relations

Pattern Formation in Biology, Vision and Dynamics

Pattern Formation in Biology, Vision and Dynamics

Geometries in Interaction

Geometries in Interaction

Partial Differential Relations

Partial Differential Relations

Metric Structures for Riemannian and Non-Riemannian Spaces

Metric Structures for Riemannian and Non-Riemannian Spaces

Pattern Formation in Biology, Vision and Dynamics

Pattern Formation in Biology, Vision and Dynamics

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