Gerd Grubb's Books

Distributions and Operators

By: Gerd Grubb

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This book gives an introduction to distribution theory, based on the work of Schwartz and of many other people. It is the first book to present distribution theory as a standard text. Each chapter has been enhanced with many exercises and examples.

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Page Count

464

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387848959

ISBN 13

9780387848952

Functional Calculus of Pseudodifferential Boundary Problems

By: Gerd Grubb

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Functional Calculus of Pseudodifferential Boundary Problems

By: Gerd Grubb

Pseudodifferential methods are central to the study of partial differential equations, because they permit an "algebraization." The main purpose of this book is to set up an operational calculus for operators defined from differential and pseudodifferential boundary values problems via a resolvent construction. A secondary purposed is to give a complete treatment of the properties of the calculus of pseudodifferential boundary problems with transmission, both the first version by Boutet de Monvel (brought completely up to date in this edition) and in version containing a parameter running in an unbounded set. And finally, the book presents some applications to evolution problems, index theory, fractional powers, spectral theory and singular perturbation theory. Thus the book’s improved proofs and modern points of view will be useful to research mathematicians and to graduate students studying partial differential equations and pseudodifferential operators.

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Page Count

536

Publisher

Springer Science & Business Media

Published Date

ISBN 10

146120769X

ISBN 13

9781461207696

Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

Proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003

By: Gerd Grubb,Krzysztof P. Wojciechowski

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Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

Proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003

By: Gerd Grubb,Krzysztof P. Wojciechowski

In recent years, increasingly complex methods have been brought into play in the treatment of geometric and topological problems for partial differential operators on manifolds. This collection of papers, resulting from a Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, provides a broad picture of these methods with new results. Subjects in the book cover a wide variety of topics, from recent advances in index theory and the more general boundary, to applications of those invariants in geometry, topology, and physics. Papers are grouped into four parts: Part I gives an overview of the subject from various points of view. Part II deals with spectral invariants, such as geometric and topological questions. Part IV deals specifically with problems on manifolds with singularities. The book is suitable for graduate students and researchers interested in spectral problems in geometry.

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Page Count

338

Publisher

American Mathematical Soc.

Published Date

ISBN 10

082183536X

ISBN 13

9780821835364

Simply Rational

Decision Making in the Real World

By: Gerd Gigerenzer

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Simply Rational

Decision Making in the Real World

By: Gerd Gigerenzer

Statistical illiteracy can have an enormously negative impact on decision making. This volume of collected papers brings together applied and theoretical research on risks and decision making across the fields of medicine, psychology, and economics. Collectively, the essays demonstrate why the frame in which statistics are communicated is essential for broader understanding and sound decision making, and that understanding risks and uncertainty has wide-reaching implications for daily life. Gerd Gigerenzer provides a lucid review and catalog of concrete instances of heuristics, or rules of thumb, that people and animals rely on to make decisions under uncertainty, explaining why these are very often more rational than probability models. After a critical look at behavioral theories that do not model actual psychological processes, the book concludes with a call for a "heuristic revolution" that will enable us to understand the ecological rationality of both statistics and heuristics, and bring a dose of sanity to the study of rationality.

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Page Count

352

Publisher

Oxford University Press

Published Date

ISBN 10

0199390096

ISBN 13

9780199390090

Environmental Standards

Combined Exposures and Their Effects on Human Beings and Their Environment

By: Christian Streffer,Josef Bücker,Adrienne Cansier,Dieter Cansier,Carl Friedrich Gethmann,Robert Guderian,Gerd Hanekamp,Dietrich Henschler,Gerald Pöch,Eckard Rehbinder,Ortwin Renn,Marco Slesina,Kerstin Wuttke

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Environmental Standards

Combined Exposures and Their Effects on Human Beings and Their Environment

The rapid growth of the world population - nearly six-fold over the last hundred years - combined with the rising number of technical installations especially in the industrialized countries has lead to ever tighter and more strained living spaces on our planet. Because ofthe inevitable processes oflife, man was at first an exploiter rather than a careful preserver of the environment. Environmental awareness with the intention to conserve the environment has grown only in the last few decades. Environmental standards have been defined and limit values have been set largely guided, however, by scientific and medical data on single exposures, while public opinion, on the other hand, now increasingly calls for astronger consideration of the more complex situations following combined exposures. Furthermore, it turned out that environmental standards, while necessarily based on scientific data, must also take into account ethical, legal, economic, and sociological aspects. A task of such complexity can only be dealt with appropriately in the framework of an inter disciplinary group.

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Page Count

862

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540440976

ISBN 13

9783540440970

Functional Calculus of Pseudodifferential Boundary Problems

By: Gerd Grubb

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Functional Calculus of Pseudodifferential Boundary Problems

By: Gerd Grubb

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Solve jigsaw puzzle

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Page Count

536

Publisher

Springer Science & Business Media

Published Date

ISBN 10

146120769X

ISBN 13

9781461207696

Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

Proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003

By: Gerd Grubb,Krzysztof P. Wojciechowski

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Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

Proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003

By: Gerd Grubb,Krzysztof P. Wojciechowski

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Write a review

Solve jigsaw puzzle

Age

Page Count

338

Publisher

American Mathematical Soc.

Published Date

ISBN 10

082183536X

ISBN 13

9780821835364

Book's by Gerd Grubb

Distributions and Operators

Distributions and Operators

Functional Calculus of Pseudodifferential Boundary Problems

Functional Calculus of Pseudodifferential Boundary Problems

Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

Simply Rational

Simply Rational

Environmental Standards

Environmental Standards

Functional Calculus of Pseudodifferential Boundary Problems

Functional Calculus of Pseudodifferential Boundary Problems

Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

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