Jerrold Bebernes's Books

Mathematical Problems from Combustion Theory

By: Jerrold Bebernes,David Eberly

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Mathematical Problems from Combustion Theory

By: Jerrold Bebernes,David Eberly

This monograph evolved over the past five years. It had its origin as a set of lecture notes prepared for the Ninth Summer School of Mathematical Physics held at Ravello, Italy, in 1984 and was further refined in seminars and lectures given primarily at the University of Colorado. The material presented is the product of a single mathematical question raised by Dave Kassoy over ten years ago. This question and its partial resolution led to a successful, exciting, almost unique interdisciplinary col laborative scientific effort. The mathematical models described are often times deceptively simple in appearance. But they exhibit a mathematical richness and beauty that belies that simplicity and affirms their physical significance. The mathe matical tools required to resolve the various problems raised are diverse, and no systematic attempt is made to give the necessary mathematical background. The unifying theme of the monograph is the set of models themselves. This monograph would never have come to fruition without the enthu siasm and drive of Dave Eberly-a former student, now collaborator and coauthor-and without several significant breakthroughs in our understand ing of the phenomena of blowup or thermal runaway which certain models discussed possess. A collaborator and former student who has made significant contribu tions throughout is Alberto Bressan. There are many other collaborators William Troy, Watson Fulks, Andrew Lacey, Klaus Schmitt-and former students-Paul Talaga and Richard Ely-who must be acknowledged and thanked.

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187

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Springer Science & Business Media

Published Date

ISBN 10

146124546X

ISBN 13

9781461245469

Manifolds, Tensor Analysis, and Applications

By: Ralph Abraham,Jerrold E. Marsden,Tudor Ratiu

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Manifolds, Tensor Analysis, and Applications

By: Ralph Abraham,Jerrold E. Marsden,Tudor Ratiu

The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid me chanics, electromagnetism, plasma dynamics and control thcory arc given in Chapter 8, using both invariant and index notation. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory. Some of this is planned for a subsequent edition. Meanwhile, the authors will make available to interested readers supplementary chapters on Lie Groups and Differential Topology and invite comments on the book's contents and development. Throughout the text supplementary topics are given, marked with the symbols ~ and {l:;J. This device enables the reader to skip various topics without disturbing the main flow of the text. Some of these provide additional background material intended for completeness, to minimize the necessity of consulting too many outside references. We treat finite and infinite-dimensional manifolds simultaneously. This is partly for efficiency of exposition. Without advanced applications, using manifolds of mappings, the study of infinite-dimensional manifolds can be hard to motivate.

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Page Count

666

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461210291

ISBN 13

9781461210290

Mathematical Problems from Combustion Theory

By: Jerrold Bebernes,David Eberly

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Mathematical Problems from Combustion Theory

By: Jerrold Bebernes,David Eberly

Average ratings

N/A

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Solve jigsaw puzzle

Age

Page Count

187

Publisher

Springer Science & Business Media

Published Date

ISBN 10

146124546X

ISBN 13

9781461245469

Book's by Jerrold Bebernes

Mathematical Problems from Combustion Theory

Mathematical Problems from Combustion Theory

Manifolds, Tensor Analysis, and Applications

Manifolds, Tensor Analysis, and Applications

Mathematical Problems from Combustion Theory

Mathematical Problems from Combustion Theory

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