Provides a broad survey of integral equation methods in scattering theory, including both the direct and inverse problems. Presents a mathematical treatment of acoustic and electromagnetic waves. Covers basic properties of solutions to the Helmholtz and Maxwell equations. Includes discussions on the Riesz-Fredholm theory of compact operations, entire functions of a complex variable, univalent function theory, improperly posed problems, and weak compactness.

Integral Equation Methods in Scattering Theory (Pure & Applied Mathematics)

Science & Math

Colton, David

Kress, Rainer

Mathematics

wiley

Mensa Covert Challenge

Barnes&Noble

Covert Puzzles (Mensa)

Humor & Entertainment

Puzzles & Games

Book Sales

Written in easy-to-understand language, this important text provides a systematic and commonsense approach to developing instruments for data collection and analysis. This book can be used by both those who are developing instruments for the first time and those who want to hone their skills, including students, agency personnel, program managers, and researchers. 
This book provides a thorough presentation of instrument construction, from conception to development and pre-testing of items, formatting the instrument, administration, and, finally, data management and presentation of the findings. Throughout the book, the authors emphasize how to create an instrument that will produce trustworthy and accurate data. To that end they have included guidelines for reviewing and revising the questionnaire to enhance validity and reliability. They also show how to work effectively with stakeholders such as instruments designers, decision-makers, agency personnel, clients, and raters or respondents.

Designing and Constructing Instruments for Social Research and Evaluation

Politics & Social Sciences

Covert, Robert W.

Social Sciences

Jossey-Bass

Conference held in Arcata, California, May 1989. 
This carefully edited survey volume introduces the reader to important problems for partial differential equations, including such diverse applications as quantum scattering, electric impedencee tomography, and identification of coefficients in partial differential equations. 
Each article carefully outlines key concepts and uses well chosen examples to illustrate its main points. The extensive primary and secondary references provide access to the literature in this rapidly expanding area. This volume can introduce the novice to an area of challenging mathematical research and significant applications. At the same time, it is an authoritative reference for the specialist.

Inverse Problems in Partial Differential Equations

Rundell, William

Ewing, Richard

Society for Industrial & Applied

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

Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences, 93)

Computers & Technology

Computer Science

Springer

Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization techniques. The limitations of these methods have led in recent years to an alternative approach to the inverse scattering problem which avoids the incorrect model assumptions inherent in the use of weak scattering approximations as well as the strong a priori information needed in order to implement nonlinear optimization techniques. These new methods come under the general title of qualitative methods in inverse scattering theory and seek to determine an approximation to the shape of the scattering object as well as estimates on its material properties without making any weak scattering assumption and using essentially no a priori information on the nature of the scattering object. This book is designed to be an introduction to this new approach in inverse scattering theory focusing on the use of sampling methods and transmission eigenvalues. In order to aid the reader coming from a discipline outside of mathematics we have included background material on functional analysis, Sobolev spaces, the theory of ill posed problems and certain topics in in the theory of entire functions of a complex variable. This book is an updated and expanded version of an earlier book by the authors published by Springer titled Qualitative Methods in Inverse Scattering Theory Review of Qualitative Methods in Inverse Scattering Theory All in all, the authors do exceptionally well in combining such a wide variety of mathematical material and in presenting it in a well-organized and easy-to-follow fashion. This text certainly complements the growing body of work in inverse scattering and should well suit both new researchers to the field as well as those who could benefit from such a nice codified collection of profitable results combined in one bound volume. SIAM Review, 2006

A Qualitative Approach to Inverse Scattering Theory (Applied Mathematical Sciences, 188)

Cakoni, Fioralba

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

Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences)

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 Hölder 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 Hölder 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.
 Audience: Integral Equation Methods in Scattering Theory can be used as a supplemental text in a graduate course on scattering theory or inverse problems and will also be of interest to research scientists in mathematics, physics, and engineering.
 Contents: Preface to the Classics Edition; Preface; Symbols; Chapter 1: The Riesz-Fredholm Theory for Compact Operators; Chapter 2: Regularity Properties of Surface Potentials; Chapter 3: Boundary-Value Problems for the Scalar Helmholtz Equation; Chapter 4: Boundary-Value Problems for the Time-Harmonic Maxwell Equations and the Vector Helmholtz Equation; Chapter 5: Low Frequency Behavior of Solutions to Boundary-Value Problems in Scattering Theory; Chapter 6: The Inverse Scattering Problem: Exact Data; Chapter 7: Improperly Posed Problems and Compact Families; Chapter 8: The Determination of the Shape of an Obstacle from Inexact Far-Field Data; Chapter 9: Optimal Control Problems in Radiation and Scattering Theory; References; Index.

Integral Equation Methods in Inverse Scattering Theory (Classics in Applied Mathematics)

Society for Industrial and Applied Mathematics

Cross and wooden stake in hand, Dr. Gary D. Rhodes re-enters the sepulcher of supernatural cinema, casting his lantern's light on Universal’s 1936 classic Dracula’s Daughter. With fellow tomb raiders Tom Weaver and Michael Lee, he discovers long-forgotten lore, presented herein with the film’s original shooting script, pressbook and a large array of other freshly exhumed extras. "A comprehensive tribute to one of Hollywood's classic horror films. My grandmother, Gloria Holden, was a legend in her time, and would have been so very proud.” – Laurie Holden, costar of The Walking Dead “As he always does (better than anyone), Gary D. Rhodes chronicles the convoluted history of the film (how the budget grew while still having the look of a “B” film; how Bela Lugosi came and went in the cast – but still had to be paid), and why it took two years to finally get produced. Bravo, Gary. There is a reason your film scholarship is lauded everywhere. Dracula’s Daughter is another feather in your cap!” – Richard Klemensen, editor of Little Shoppe of Horrors magazine “Rhodes' coverage of this classic production and the endless minutiae with which he showers readers and fans are a credit to this book yet typical of Rhodes' acumen as a film scholar historian. His attention to detail opens floodgates for scholars and academics engaged in theory who rely on the sort of archival work that Rhodes makes appear effortless. Buy two copies of this volume – for one the shelf, and the other for notations, research, dog-earing, and pleasure-reading.”– John Edgar Browning, Ph.D., coauthor of Dracula in Visual Media and editor of The Forgotten Writings of Bram Stoker

Dracula's Daughter

Weaver, Tom

Lee, Michael

Rhodes, Gary D.

Movies

BearManor Media

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