Rainer Kress's Books

Linear Integral Equations

By: Rainer Kress

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I fell in love with integral equations about twenty years ago when I was working on my thesis, and I am still attracted by their mathematical beauty. This book will try to stimulate the reader to share this love with me. Having taught integral equations a number of times I felt a lack of a text which adequately combines theory, applications and numerical methods. Therefore, in this book I intend to cover each of these fields with the same weight. The first part provides the basic Riesz-Fredholm theory for equa tions of the second kind with compact opertors in dual systems including all functional analytic concepts necessary for developing this theory. The second part then illustrates the classical applications of integral equation methods to boundary value problems for the Laplace and the heat equation as one of the main historical sources for the development of integral equations, and also in troduces Cauchy type singular integral equations. The third part is devoted to describing the fundamental ideas for the numerical solution of integral equa tions. Finally, in a fourth part, ill-posed integral equations of the first kind and their regularization are studied in a Hilbert space setting. In order to make the book accessible not only to mathematicans but also to physicists and engineers I have planned it as self-contained as possible by requiring only a solid foundation in differential and integral calculus and, for parts of the book, in complex function theory.

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Page Count

311

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642971466

ISBN 13

9783642971464

Inverse Acoustic and Electromagnetic Scattering Theory

By: David Colton,Rainer Kress

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Inverse Acoustic and Electromagnetic Scattering Theory

By: David Colton,Rainer Kress

The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this third edition, new sections have been added on the linear sampling and factorization methods for solving the inverse scattering problem as well as expanded treatments of iteration methods and uniqueness theorems for the inverse obstacle problem. These additions have in turn required an expanded presentation of both transmission eigenvalues and boundary integral equations in Sobolev spaces. As in the previous editions, emphasis has been given to simplicity over generality thus providing the reader with an accessible introduction to the field of inverse scattering theory. Review of earlier editions: “Colton and Kress have written a scholarly, state of the art account of their view of direct and inverse scattering. The book is a pleasure to read as a graduate text or to dip into at leisure. It suggests a number of open problems and will be a source of inspiration for many years to come.” SIAM Review, September 1994 “This book should be on the desk of any researcher, any student, any teacher interested in scattering theory.” Mathematical Intelligencer, June 1994

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Page Count

419

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461449421

ISBN 13

9781461449423

Integral Equation Methods in Scattering Theory

By: David Colton,Rainer Kress

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Integral Equation Methods in Scattering Theory

By: David Colton,Rainer Kress

This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.

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Page Count

286

Publisher

SIAM

Published Date

ISBN 10

1611973163

ISBN 13

9781611973167

Theories of Matter

A Festschrift for Prof. Joseph L. Birman

By: Allan Solomon,Minko Balkanski,Hans-Rainer Trebin

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Theories of Matter

A Festschrift for Prof. Joseph L. Birman

By: Allan Solomon,Minko Balkanski,Hans-Rainer Trebin

This volume contains a selection of articles on modern theoretical physics contributed by leading scientists. It is dedicated to Joseph L Birman for his prolific and outstanding contribution to the field. The topics covered are in the fields of condensed matter and solid state physics, elementary particles and quantum optics.

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Page Count

320

Publisher

World Scientific

Published Date

ISBN 10

9810217595

ISBN 13

9789810217594

Origins of European Printmaking

Fifteenth-century Woodcuts and Their Public

By: Peter W. Parshall,Rainer Schoch,David S. Areford,National Gallery of Art (U.S.),Richard S. Field,Peter Schmidt,Germanisches Nationalmuseum

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Origins of European Printmaking

Fifteenth-century Woodcuts and Their Public

By: Peter W. Parshall,Rainer Schoch,David S. Areford,National Gallery of Art (U.S.),Richard S. Field,Peter Schmidt,Germanisches Nationalmuseum

The first comprehensive history of late medieval printmaking, which transformed image production and led to profound changes in Western culture

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Page Count

396

Publisher

Yale University Press

Published Date

ISBN 10

0300113390

ISBN 13

9780300113396

Political Science: Reflecting on Concepts, Demystifying Legends

By: Rainer Eisfeld

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Political Science: Reflecting on Concepts, Demystifying Legends

By: Rainer Eisfeld

Rainer Eisfeld’s book highlights the merits of socio-historical research into topics infrequently covered by mainstream political science. Directing attention to the need for carefully scrutinizing the convenient “truths” of established - post-Nazi, post-Communist - political narratives, its chapters encourage reflection of the discipline’s history and state of the art. A companion volume to the 2012 book entitled Radical Approaches to Political Science: Roads Less Traveled (also published by Barbara Budrich), this collection is likewise based on an approach to political science informed by a theory of participatory pluralism and grounded in history. The chapters focus on the discipline’s fragmentation and its retreat from public debate; on the varying roles of political science and international relations as champions of more or less democracy; on normative and analytical concepts developed by Hannah Arendt, Klaus von Beyme, and Robert A. Dahl; on the deconstruction of the “Peenemünde Legend” about the unspoiled rule of science at the Third Reich’s missile development center; on reasons for the Peenemünde engineers’ actual complicity in the exploitation of concentration camp labor to mass-produce their V-2 missile. “Rainer Eisfeld’s leadership in the fields of pluralism and analysis of the discipline in the International Political Science Association means that he has quite a background to share with us in this, his most recent, collection of essays.” John Trent

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Page Count

132

Publisher

Verlag Barbara Budrich

Published Date

ISBN 10

384740928X

ISBN 13

9783847409281

Africa

An Introduction to History, Politics and Society

By: Rainer Tetzlaff

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Africa

An Introduction to History, Politics and Society

By: Rainer Tetzlaff

The textbook provides an in-depth overview of African history and politics from the Atlantic slave trade, through the phases of colonialism and decolonization, to the development problems of the present. Various development theories are used to explain successful and failed development paths of individual countries after 1960. Thematic foci include Europe's colonial legacy, state formation and state failure, democratization, the curse of raw materials, population growth, hunger and poverty, ethnic conflicts, and the roles of the World Bank, EU, and China as external actors in Africa.

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Page Count

341

Publisher

Springer Nature

Published Date

ISBN 10

3658349824

ISBN 13

9783658349820

One-Parameter Semigroups for Linear Evolution Equations

By: Klaus-Jochen Engel,Rainer Nagel

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One-Parameter Semigroups for Linear Evolution Equations

By: Klaus-Jochen Engel,Rainer Nagel

This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.

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Page Count

609

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387226427

ISBN 13

9780387226422

Maxillofacial Trauma and Esthetic Facial Reconstruction - E-Book

By: Peter Ward Booth,Barry Eppley,Rainer Schmelzeisen

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Maxillofacial Trauma and Esthetic Facial Reconstruction - E-Book

By: Peter Ward Booth,Barry Eppley,Rainer Schmelzeisen

Filled with hundreds of superb, full-color photographs and step-by-step, illustrated procedures, Maxillofacial Trauma and Esthetic Facial Reconstruction, 2nd Edition, is your definitive source on all aspects of managing facial trauma. World-renowned authors Peter Ward Booth, Barry L. Eppley, and Rainer Schmelzeisen deliver today's foremost guidance on everything from management of the acute trauma patient to the newest materials in surgical trauma to secondary procedures for improved facial appearance. "Maxillofacial Trauma and Esthetic Facial Reconstruction is a comprehensive text dealing with a difficult area and where competing titles are plentiful. This book is refreshing and seems to add a new perspective in this genre with the combination of facial trauma management and reconstruction in the one hardback book. For this reason together with the sheer quantity and quality of the photos and illustrations - this book is highly recommended." - The Journal of Surgery, review of the first edition - Offers complete coverage of maxillofacial trauma highlighted by an unparalleled collection of outstanding, full-color photographs, and highly detailed line drawings that clarify surgical procedures. - Addresses secondary surgery in a dedicated section, covering such topics as facial scar management; secondary osteotomies and bone grafting to correct deformities; bone distraction, used commonly with congenital malformations; secondary rhinoplasty for traumatic nasal deformities, which are associated with a variety of cosmetic and functional issues; secondary orbital surgery; facial nerve injuries; and psychological support for patient with facial trauma. - Features an outstanding, full-color art program, with more than 750 color photos that cover all aspects of injury and treatment, and 250 color line drawings that walk you step by step through surgical procedures. - Includes contributions from a "who's who" list of international experts in oral and maxillofacial surgery, psychology, ophthalmology, neurosurgery, plastic surgery, and craniofacial surgery. - Discusses the latest etiology and management of trauma, walking you through all aspects of injury, treatment, and surgical procedures. - Provides stabilizing guidance prior to surgery in the acute care chapter. - Presents updated information on new imaging technology, current surgical procedures, and innovative treatment software throughout. - Includes more illustrations to guide you to the best radiologic investigation for each injury. - Relates brain injury to the overall management of the face for both function and esthetics. - Contains updated guidelines on facial fractures, expanded information on psychological problems following facial trauma, and a new chapter on pediatric trauma.

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Page Count

637

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

0702047023

ISBN 13

9780702047022

Integral Equation Methods in Scattering Theory

By: David Colton,Rainer Kress

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Integral Equation Methods in Scattering Theory

By: David Colton,Rainer Kress

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286

Publisher

SIAM

Published Date

ISBN 10

1611973163

ISBN 13

9781611973167

Inverse Acoustic and Electromagnetic Scattering Theory

By: David Colton,Rainer Kress

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Inverse Acoustic and Electromagnetic Scattering Theory

By: David Colton,Rainer Kress

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419

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Springer Science & Business Media

Published Date

ISBN 10

1461449421

ISBN 13

9781461449423

Linear Integral Equations

By: Raimer Kress

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Linear Integral Equations

By: Raimer Kress

The result of the author's fascination with the mathematical beauty of integral equations, this book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter.

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Page Count

367

Publisher

Springer

Published Date

ISBN 10

1461268176

ISBN 13

9781461268178

Book's by Rainer Kress

Linear Integral Equations

Linear Integral Equations

Inverse Acoustic and Electromagnetic Scattering Theory

Inverse Acoustic and Electromagnetic Scattering Theory

Integral Equation Methods in Scattering Theory

Integral Equation Methods in Scattering Theory

Theories of Matter

Theories of Matter

Origins of European Printmaking

Origins of European Printmaking

Political Science: Reflecting on Concepts, Demystifying Legends

Political Science: Reflecting on Concepts, Demystifying Legends

Africa

Africa

One-Parameter Semigroups for Linear Evolution Equations

One-Parameter Semigroups for Linear Evolution Equations

Maxillofacial Trauma and Esthetic Facial Reconstruction - E-Book

Maxillofacial Trauma and Esthetic Facial Reconstruction - E-Book

Integral Equation Methods in Scattering Theory

Integral Equation Methods in Scattering Theory

Inverse Acoustic and Electromagnetic Scattering Theory

Inverse Acoustic and Electromagnetic Scattering Theory

Linear Integral Equations

Linear Integral Equations

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