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

by David Colton Rainer Kress

The inverse scattering problem is central to many areas of science and technology such as radar, 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 fourth edition, a number of significant additions have been made including a new chapter on transmission eigenvalues and a new section on the impedance boundary condition where particular attention has been made to the generalized impedance boundary condition and to nonlocal impedance boundary conditions. Brief discussions on the generalized linear sampling method, the method of recursive linearization, anisotropic media and the use of target signatures in inverse scattering theory have also been added.

Inverse Acoustic and Electromagnetic Scattering Theory

by Rainer Kress David Colton

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 Magnetometry: Mollifier Magnetization Distribution from Geomagnetic Field Data (Lecture Notes in Geosystems Mathematics and Computing)

by Christian Blick Willi Freeden M. Zuhair Nashed Helga Nutz Michael Schreiner

This monograph presents the geoscientific context arising in decorrelative geomagnetic exploration. First, an insight into the current state of research is given by reducing magnetometry to mathematically accessible, and thus calculable, decorrelated models. In this way, various questions and problems of magnetometry are made available to a broad scientific audience and the exploration industry. New stimuli are given, and innovative ways of modeling geologic strata by mollifier magnetometric techniques are shown.Potential data sets primarily of terrestrial origin constitute the main data basis in the book. For deep geology, the geomathematical decorrelation methods are designed in such a way that depth information (e.g., in boreholes) may be canonically entered. Overall, this book provides pioneering and ground-breaking innovative mathematical knowledge as a transfer methodology from the “reality space” of magnetometric measurements into the “virtual space” of mathematical-numerical modeling structures and mollifier solutions with novel geological application areas. It pursues a double goal: On the one hand, it represents a geoscientific set of rules for today's geoengineering, interested in the application of innovative modelling and simulation techniques to promising data sets and structures occurring in geomagnetics. On the other hand, the book serves as a collection of current material in Applied Mathematics to offer alternative methodologies in the theory of inverse problems.

Inverse Problems: Basics, Theory and Applications in Geophysics (Lecture Notes in Geosystems Mathematics and Computing)

by Mathias Richter

This textbook is an introduction to the subject of inverse problems with an emphasis on practical solution methods and applications from geophysics. The treatment is mathematically rigorous, relying on calculus and linear algebra only; familiarity with more advanced mathematical theories like functional analysis is not required. Containing up-to-date methods, this book will provide readers with the tools necessary to compute regularized solutions of inverse problems. A variety of practical examples from geophysics are used to motivate the presentation of abstract mathematical ideas, thus assuring an accessible approach.Beginning with four examples of inverse problems, the opening chapter establishes core concepts, such as formalizing these problems as equations in vector spaces and addressing the key issue of ill-posedness. Chapter Two then moves on to the discretization of inverse problems, which is a prerequisite for solving them on computers. Readers will be well-prepared for the final chapters that present regularized solutions of inverse problems in finite-dimensional spaces, with Chapter Three covering linear problems and Chapter Four studying nonlinear problems. Model problems reflecting scenarios of practical interest in the geosciences, such as inverse gravimetry and full waveform inversion, are fully worked out throughout the book. They are used as test cases to illustrate all single steps of solving inverse problems, up to numerical computations. Five appendices include the mathematical foundations needed to fully understand the material.This second edition expands upon the first, particularly regarding its up-to-date treatment of nonlinear problems. Following the author’s approach, readers will understand the relevant theory and methodology needed to pursue more complex applications. Inverse Problems is ideal for graduate students and researchers interested in geophysics and geosciences.

Inverse Problems: Basics, Theory and Applications in Geophysics (Lecture Notes in Geosystems Mathematics and Computing)

by Mathias Richter

The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions as vectors is needed. Function spaces are introduced informally in the course of the text, when needed. Additionally, a more detailed, but still condensed introduction is given in Appendix B.A second goal is to elaborate the single steps to be taken when solving an inverse problem: discretization, regularization and practical solution of the regularized optimization problem. These steps are shown in detail for model problems from the fields of inverse gravimetry and seismic tomography. The intended audience is mathematicians, physicists and engineers having a good working knowledge of linear algebra and analysis at the upper undergraduate level.

Inverse Spectral and Scattering Theory: An Introduction (SpringerBriefs in Mathematical Physics #38)

by Hiroshi Isozaki

The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science. These practical problems boil down to the mathematical question in which one tries to recover the operator (coefficients) or the domain (manifolds) from spectral data. The characteristic properties of the operators in question are often reduced to those of Schrödinger operators. We start from the 1-dimensional theory to observe the main features of inverse spectral problems and then proceed to multi-dimensions. The first milestone is the Borg–Levinson theorem in the inverse Dirichlet problem in a bounded domain elucidating basic motivation of the inverse problem as well as the difference between 1-dimension and multi-dimension. The main theme is the inverse scattering, in which the spectral data is Heisenberg’s S-matrix defined through the observation of the asymptotic behavior at infinity of solutions. Significant progress has been made in the past 30 years by using the Faddeev–Green function or the complex geometrical optics solution by Sylvester and Uhlmann, which made it possible to reconstruct the potential from the S-matrix of one fixed energy. One can also prove the equivalence of the knowledge of S-matrix and that of the Dirichlet-to-Neumann map for boundary value problems in bounded domains. We apply this idea also to the Dirac equation, the Maxwell equation, and discrete Schrödinger operators on perturbed lattices. Our final topic is the boundary control method introduced by Belishev and Kurylev, which is for the moment the only systematic method for the reconstruction of the Riemannian metric from the boundary observation, which we apply to the inverse scattering on non-compact manifolds. We stress that this book focuses on the lucid exposition of these problems and mathematical backgrounds by explaining the basic knowledge of functional analysis and spectral theory, omitting the technical details in order to make the book accessible to graduate students as an introduction to partial differential equations (PDEs) and functional analysis.

Invertebrate Palaeontology and Evolution

by E. N. Clarkson

Invertebrate Palaeontology and Evolution is well established as the foremost palaeontology text at the undergraduate level. This fully revised fourth edition includes a complete update of the sections on evolution and the fossil record, and the evolution of the early metazoans. New work on the classification of the major phyla (in particular brachiopods and molluscs) has been incorporated. The section on trace fossils is extensively rewritten. The author has taken care to involve specialists in the major groups, to ensure the taxonomy is as up-to-date and accurate as possible.

Invest in ASEAN: Countries Analysis and Treaties

by Lorenzo Riccardi Giorgio Riccardi

This book highlights the main features of the economic, commercial, political, fiscal and financial systems of each of the ASEAN countries from a domestic and an international point of view. Moreover, it analyses the most relevant international treaties signed by ASEAN’s members. Published after the 50th anniversary of ASEAN to promote the association, the book is a valuable tool for practitioners who are interested in developing economic activities or investments in this area.

Investigating Earth Science

by Dusty Girard Rick Lynn

Investigating Earth Science is a lab manual designed to meet the requirements of an introductory geology course for non-science majors. <p><p> In order to meet the needs of a broad based geology course many topics are covered including the scientific method, mineral and rock formation and identification, water issues, coordinate systems and mapping, geologic time, the atmosphere, weather and climate, and astronomy. <p><p> This lab manual is designed to complement the lecture component of an introductory geology lecture course to reinforce and enhance student’s understanding of Earth processes, human interaction with our environment and the place of the Earth and humans in our solar system and universe. The major goal of this lab manual is to help students understand the importance of how science works, how scientists think and how science impacts the student’s life on a daily basis.

Investigating Earth Systems: Investigating Our Dynamic Planet

by Michael J. Smith John B. Southard Colin Mably

An Inquiry program that goes into detail about investigating our planet Earth.

Investigating Groundwater (IAH - International Contributions to Hydrogeology #29)

by Ian Acworth

Investigating Groundwater provides an integrated approach to the challenges associated with locating groundwater. Uniquely, the book provides a review of the wide range of techniques that can be deployed to investigate this important resource. Many of the practical examples given are based upon Australian experience but the methods have worldwide applicability. The book is published in colour and includes many original diagrams and photographs. Particular effort has been made to provide consistent terminology and SI units are used throughout the text. <P><P>Investigating Groundwater starts with an introduction to the historical significance of groundwater and gives an account of climate change. A description of the occurrence of groundwater in different rock types is then provided. A detailed account of surface water techniques is then followed by an account of the interconnections between surface water and groundwater. Four chapters describing groundwater hydraulics are then followed by four chapters describing the latest geophysical techniques. Once the best location of a borehole is determined using these techniques; chapters then describe appropriate drilling methods to use; provide a wide ranging review of geophysical logging, hydrochemical and isotopic techniques, before concluding with a detailed description of groundwater flow to a well. <P><P>Written for a worldwide audience of degree level geology/engineering practitioners, academics and students involved in groundwater resource investigation methods; Investigating Groundwater is essential reading for those involved in groundwater research. <P><P>Key Features: <li>Presents the theoretical background and a detailed description of the techniques used in the investigation of groundwater. <li>Describes the general occurrence of groundwater in different rock types; surface water hydrology and interconnected surface and groundwater systems. <li>Provides detailed descriptions of geophysical techniques (seismic, electrical, gravity and heat) and an account of available geophysical logging methods. <li>Reviews hydrochemical and isotope methods, followed by an account of drilling techniques. <li>Gives a detailed account of radial flow to a well, including appropriate modelling and pump-testing techniques and a consideration of non-linear flow. <P><P>Of interest to anyone involved in the development of groundwater resources, either for domestic supply, for agriculture or for mining.

Investigating Groundwater Systems on Regional and National Scales

by Committee On Usgs Water Resources Research

A report on Investigating Groundwater Systems on Regional and National Scales

Investigating Landforms: Earth and Space Science (Science Readers)

by Lynn Gorp

Landforms are features on the earth's surface that are made naturally. Mountains, plains, and plateaus are all examples of landforms. The study of landforms is called geomorphology. Scientists can learn about the past and even predict future changes by studying landforms. Today we can take pictures of landforms from airplanes and satellites.

Investigating Oceanography, 1st Edition

by Keith A. Sverdrup Raphael Kudela

Investigating Oceanography is the product of decades of experience in oceanographic research and teaching in the classroom. The information in this book is enhanced by beautiful art and an exciting design that capture both the eye and the imagination. In each chapter, the discussion of new ocean science issues scaffolds on knowledge gained in previous chapters. Information in this book is both relevant to students' lives and up-to-date with the latest discoveries in oceanography. The book help students understand the intimate relationship between the oceans and their own well-being, and know the importance of having a combination of dedicated scientists who continue to explore the oceans and a knowledgeable public committed to protecting the ocean environment. Investigating Oceanography offers numerous aids to engage students and help them identify and understand key concepts in ocean science.

Investigating Plate Tectonics: Earth and Space Science Readers

by Greg Young

Through colorful images, helpful charts and graphs, and easy-to-read text, readers will discover such fascinating topics as magnetic pole reversal, divergent and convergent plate boundaries, the ocean-continental division, and the San Andreas Fault. A captivating lab activity is featured to encourage children to further explore geology.

Investigation of the Compression of Magnetized Plasma and Magnetic Flux (Springer Theses)

by Dimitry Mikitchuk

The present research studies the fundamental physics occurring during the magnetic flux and magnetized plasma compression by plasma implosion. This subject is relevant to numerous studies in laboratory and space plasmas. Recently, it has attracted particular interest due to the advances in producing high-energy-density plasmas in fusion-oriented experiments, based on the approach of magnetized plasma compression.The studied configuration consists of a cylindrical gas-puff shell with pre-embedded axial magnetic field that pre-fills the anode-cathode gap. Subsequently, axial pulsed current is driven through the plasma generating an azimuthal magnetic field that compresses the plasma and the axial magnetic field embedded in it.A key parameter for the understanding of the physics occurring during the magnetized plasma compression is the evolution and distribution of the axial and azimuthal magnetic fields. Here, for the first time ever, both fields are measured simultaneously employing non-invasive spectroscopic methods that are based on the polarization properties of the Zeeman effect. These measurements reveal unexpected results of the current distribution and the nature of the equilibrium between the axial and azimuthal fields. These observations show that a large part of the current does not flow in the imploding plasma, rather it flows through a low-density plasma residing at large radii. The development of a force-free current configuration is suggested to explain this phenomenon. Previously unpredicted observations in higher-power imploding-magnetized-plasma experiments, including recent unexplained structures observed in the Magnetized Liner Inertial Fusion experiment, may be connected to the present discovery.

Investing in a Changing Climate: Navigating Challenges and Opportunities (Professional Practice in Governance and Public Organizations)

by Ludovic Subran Markus Zimmer

Net Zero is not enough. We have dithered so long about climate change that, by now, we would need to go to negative-emissions territory, well before 2050, to keep global warming under the iconic 1.5°C target. The national commitments made so far fall short of what is needed, and so do the investments envisioned. But even with the best of intentions, it is hard for policymakers and potential investors to discern where, in the profusion of initiatives and technologies, it would make sense to focus their attention and resources. This is where this book comes in. It offers a clear-eyed view of how far along the decarbonization path six key sectors of the economy are—namely energy, utilities, transportation, industry, buildings, and agriculture—and which areas and technologies within each sector are promising in terms of investments to advance the cause. Furthermore, a special chapter on Africa spotlights a continent that is simultaneously one of the worst affected by climate change, the most likely to see its greenhouse gas emissions increase—and the one with the greatest potential for solving the West's, and the world’s, energy transition and economic growth conundrum. As such, the book serves as a concise guide both to the state of the battle against global warming, and for investors, professionals, and policymakers to find their way through the maze of options.

Investing in Natural Capital: The Ecological Economics Approach To Sustainability (Intl Society for Ecological Economics)

by Carl Folke Robert Costanza Monica Hammer Annmari Jansson

Investing in Natural Capital presents the results of a workshop held following the second biannual conference of the International Society for Ecological Economics. It focuses on the relation of human development to natural capital, and the relation of natural capital to environmental processes.Because we are capable of understanding our impact on the environment and the importance of managing it sustainably, humans play a special role in our ecosystem. The book emphasizes the essential connections between natural ecosystems and human socioeconomic systems, and the importance of insuring that both remain resilient. Specific chapters deal with methodology, case material, and policy questions, and offer a thorough exploration of this provocative and important alternative to conventional economics.

Investing in Resource Efficiency: The Economics and Politics of Financing the Resource Transition

by Florian Flachenecker Jun Rentschler

This book covers the multi-faceted incentives, trade-offs, and challenges associated with the economics and politics of resource efficiency investments. By contributing a wide range of empirical evidence, practitioners' insights, and policy perspectives, this book carefully examines the role of resource efficiency in reconciling environmental and economic considerations. It also discusses the critical role of resource efficiency investments in mitigating climate change and enabling sustainable development. Featuring expert insights from academia, the European Commission, the European Investment Bank, and the European Bank for Reconstruction and Development, this book provides a policy oriented guide, reference, and toolbox for unlocking the potential of resource efficiency. To this end, it identifies practical measures for overcoming barriers and creating smart incentives for leveraging resource efficiency investments. Overall, this book brings together evidence to develop innovative ideas and strategies for improving the efficient use of resources and advancing clean and sustainable development."This book is an important and timely contribution", Angel Gurria, Secretary General, OECD

Investing in the Era of Climate Change

by Professor Bruce Usher

A climate catastrophe can be avoided, but only with a rapid and sustained investment in companies and projects that reduce greenhouse gas emissions. To the surprise of many, this has already begun. Investors are abandoning fossil-fuel companies and other polluting industries and financing businesses offering climate solutions. Rising risks, evolving social norms, government policies, and technological innovation are all accelerating this movement of capital.Bruce Usher offers an indispensable guide to the risks and opportunities for investors as the world faces climate change. He explores the role that investment plays in reducing emissions to net zero by 2050, detailing how to finance the winners and avoid the losers in a transforming global economy. Usher argues that careful examination of climate solutions will offer investors a new and necessary lens on the future for their own financial benefit and for the greater good. Companies that reduce greenhouse gas emissions will create great wealth, and, more importantly, they will provide a lifeline for humanity.Grounded in academic and industry research, Usher’s insights bring clarity to a complex and controversial topic while illuminating the people behind the numbers. This book sets out a practical and actionable plan for investors that will alter the course of climate change.

Investing in Water for a Green Economy: Services, Infrastructure, Policies and Management

by Christine Esau Michael D. Young

In the context of the economies of the world becoming greener, this book provides a global and interdisciplinary overview of the condition of the world’s water resources and the infrastructure used to manage it. It focuses on current social and economic costs of water provision, needs and opportunities for investment and for improving its management. It describes the large array of water policy challenges facing the world, including the Millennium Development Goals for clean water and sanitation, and shows how these might be met. There is a mixture of global overviews, reviews of specific issues and an array of case studies. It is shown how accelerated investment in water-dependent ecosystems, in water infrastructure and in water management can be expected to expedite the transition to a green economy. The book provides a key source of information for people interested in understanding emerging water issues and approaches that are consistent with a world that takes greater responsibility for the environment.

Investing with Impact: Why Finance Is a Force for Good

by Jeremy Balkin

Investing with Impact: Why Finance Is a Force for Good outlines the roadmap to reinvigorate a skeptical public and demoralized financial services industry by making the case that contrary to popular misconception, finance is not the cause of the world's problems, in fact, it can provide the solution. Author Jeremy Balkin presents the case that the finance industry can improve the state of the world by positively influencing the allocation of capital.The book explains the methodology of Balkin's 6 E Paradigm, opening the toolbox to this revolutionary framework for the first time. He helps readers assess investing through a different lens. In so doing, Balkin expands the impact investment universe, enabling mainstream capital to flow where opportunities generate positive investment returns and have demonstrable social impact.Described by the Huffington Post as the "Anti-Wolf of Wall Street," Balkin is challenging the status quo on Wall Street by leading the intellectual debate embracing the $1 trillion frontier impact investment market opportunity. The book demonstrates conclusively that, if we can change the culture in finance, we can change the world for the better.

An Investment Perspective on Global Value Chains

by Christine Zhenwei Qiang Yan Liu Victor Steenbergen

This report investigates the role of foreign direct investment (FDI) in helping developing countries participate in global value chains (GVCs). It combines the perspectives and strategies from three types of players: multinational corporations, domestic firms and governments. It aims to provide practical guidance for developing countries to develop strategies that use FDI to strengthen GVC participation and upgrading. The report has six main chapters: 1. FDI and GVCs. Assesses the trade-investment nexus and analyzes the effect of FDI in countries’ GVC participation and upgrading at the country level. 2. MNCs shape GVC development. Highlights MNCs' contribution to global economy and how their business strategies shape the evolution of GVCs. The chapter also compares MNCs' business strategies in terms of outsourcing and offshoring, risk mitigation and increasing market power across GVC archetypes. 3. Domestic firm perspectives on GVC participation. Looks at the various paths domestic firms can take to internationalize their production and trade. Investigates domestic firm characteristics that predict higher GVC participation, and the effect of GVC participation on firm performance. 4. Investment policy and promotion: what is in a government’s toolbox? Summarizes the various policy instruments governments have at their disposal to help attract MNCs to their country and facilitate GVC participation of domestic firms. 5. Integrating countries into GVCs. Draws on a range of case studies to illustrate how governments can develop coherent strategies and policy packages to integrate their countries into GVCs. 6. FDI and GVCs in the wake of COVID-19. Reflects the impact of COVID-19 on FDI and GVCs, the response from multinationals and suppliers, and the implications for GVC reconfiguration. In addition, there are seven case studies that offer more nuanced analysis on the GVC participation in selected countries and sectors: • Five qualitative case studies: Five countries have been selected that managed to use FDI to stimulate GVC participation using a range of approaches. By design, these five countries also cover five different GVC archetypes. These countries are: (1) Kenya (horticulture); (2) Dominican Republic (textiles); (3) Mauritius (tourism); (4) Malaysia (electronics); (5) China (software). • Two quantitative case studies: Rwanda, West-Bengal (India). These use a combination of firm- and transaction level datasets to study firm-level dynamics that explain the role of multinational and domestic firms across GVCs.

Investment Treaty Law and Climate Change

by Tomás Restrepo Rodríguez

The book deals with the question whether the investment treaty law system could be harmonized with the climate change international legal framework and the climate interest that lies beyond. The answer to this research question is divided into three parts. The first examines the relevance of the climate change international legal framework in investment treaty disputes as a natural pre(logical)interpretative stage. The second focuses on the BIT’s content-interpretation, which is the orthodox approach to solve the fragmentation between the system of investment treaty law and the system of international climate change law. Finally, the third part tackles this fragmentation through a heterodox approach that is grounded in the direct application of climate change principles through law ascertainment. Apart from concluding that harmonization between investment treaty law and international climate change law is possible through the orthodox approach to the expropriation and the FET standards, as well as through the direct application of the climate change precautionary principle and the CBDRRC principle − heterodox approach, the book suggests that tribunals are expected soon to openly address climate change disputes in their rulings.

Invisible Beasts

by Sharona Muir

"An amazing feat of imagination." -Publishers Weekly (starred review)"Invisible Beasts is a strange and beautiful meditation on love and seeing, a hybrid of fantasy and field guide, novel and essay, treatise and fable. With one hand it offers a sad commentary on environmental degradation, while with the other it presents a bright, whimsical, and funny exploration of what it means to be human. It's wonderfully written, crazily imagined, and absolutely original." -ANTHONY DOERR, author of All the Light We Cannot See and The Shell CollectorSophie is an amateur naturalist with a rare genetic gift: the ability to see a marvelous kingdom of invisible, sentient creatures that share a vital relationship with humankind. To record her observations, Sophie creates a personal bestiary and, as she relates the strange abilities of these endangered beings, her tales become extraordinary meditations on love, sex, evolution, extinction, truth, and self-knowledge.In the tradition of E.O. Wilson's Anthill, Invisible Beasts is inspiring, philosophical, and richly detailed fiction grounded by scientific fact and a profound insight into nature. The fantastic creations within its pages-an ancient animal that uses natural cold fusion for energy, a species of vampire bat that can hear when their human host is lying, a continent-sized sponge living under the ice of Antarctica-illuminate the role that all living creatures play in the environment and remind us of what we stand to lose if we fail to recognize our entwined destinies.Sharona Muir is the author of The Book of Telling: Tracing the Secrets of My Father's Lives. The recipient of a Hodder Fellowship and National Endowment for the Arts Fellowship, her writing has appeared in Granta, Orion magazine, Virginia Quarterly Review, The Paris Review, and elsewhere. She is a Professor of Creative Writing and English at Bowling Green State University. Invisible Beasts is her first novel.

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