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Introduction to Inverse Problems for Differential Equations
by Alemdar Hasanov Hasanoğlu Vladimir G. RomanovThis book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering.The book’s content, especially in the Introduction and Part I, is self-contained and is intended to also be accessible for beginning graduate students, whose mathematical background includes only basic courses in advanced calculus, PDEs and functional analysis. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations.In turn, the second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and source problems considered here are based on the basic and commonly used mathematical models governed by PDEs. These chapters describe not only these inverse problems, but also main inversion methods and techniques. Since the most distinctive features of any inverse problems related to PDEs are hidden in the properties of the corresponding solutions to direct problems, special attention is paid to the investigation of these properties.For the second edition, the authors have added two new chapters focusing on real-world applications of inverse problems arising in wave and vibration phenomena. They have also revised the whole text of the first edition.
Introduction to Inverse Problems in Imaging
by M. Bertero P. Boccacci Christine De MolFully updated throughout, with several new chapters, this second edition of Introduction to Inverse Problems in Imaging guides advanced undergraduate and graduate students in physics, computer science, mathematics and engineering through the principles of linear inverse problems, in addition to methods of their approximate solution and their practical applications in imaging. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of readers from different backgrounds, with readers needing just a rudimentary understanding of analysis, geometry, linear algebra, probability theory, and Fourier analysis. This second edition contains new chapters on quadratic, iterative, and sparsity-enforcing tikhonov regularizations in addition to maximum likelihood methods and bayesian regularization. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercised throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems. Key features: · Provides an accessible introduction to the topic, whilst keeping mathematics to a minimum · Interdisciplinary topic with growing relevance and wide-ranging applications · Accompanied by numerical examples throughout Author bios Mario Bertero is a Professor Emeritus at the Università di Genova. Patrizia Boccacci is a Professor at the Università di Genova. Christine De Mol is a Professor at the Université libre de Bruxelles.
Introduction to Japanese Architecture
by David Young Michiko Young Tan Hong YewIntroduction to Japanese Architecture provides an overview of Japanese architecture in its historical and cultural context. It begins with a discussion of prehistoric dwellings and concludes with a description of contemporary trends in areas as diverse as country inns, underground malls, and love hotels. The intervening 12,000 years are analyzed in reference to major changes in architecture caused by Buddhist and indigenous influences, feudalism, and finally the influence of Western culture in the 19th century.
An Introduction to Kinetic Monte Carlo Simulations of Surface Reactions (Lecture Notes in Physics #856)
by A.P.J. JansenKinetic Monte Carlo (kMC) simulations still represent a quite new area of research, with a rapidly growing number of publications. Broadly speaking, kMC can be applied to any system describable as a set of minima of a potential-energy surface, the evolution of which will then be regarded as hops from one minimum to a neighboring one. The hops in kMC are modeled as stochastic processes and the algorithms use random numbers to determine at which times the hops occur and to which neighboring minimum they go. Sometimes this approach is also called dynamic MC or Stochastic Simulation Algorithm, in particular when it is applied to solving macroscopic rate equations. This book has two objectives. First, it is a primer on the kMC method (predominantly using the lattice-gas model) and thus much of the book will also be useful for applications other than to surface reactions. Second, it is intended to teach the reader what can be learned from kMC simulations of surface reaction kinetics. With these goals in mind, the present text is conceived as a self-contained introduction for students and non-specialist researchers alike who are interested in entering the field and learning about the topic from scratch.
An Introduction to Large-Scale Tropical Meteorology (Springer Atmospheric Sciences)
by Vasubandhu MisraThis upper-undergraduate/graduate-level textbook introduces students to large-scale tropical climate circulation and its variations, covering their fundamental aspects and our current understanding of how they are impacted in a warming world. From this volume, readers will gain an understanding of tropical climate variability from the meso- to planetary scale. Uniquely, equal emphasis is placed on atmospheric and oceanic processes of tropical phenomena. The book will appeal to senior undergraduate and graduate students across geoscience disciplines, including in meteorology, oceanography, geography, hydrology, and environmental science.
Introduction to Lorentz Geometry: Curves and Surfaces
by Ivo Terek Couto Alexandre LymberopoulosLorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity. Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions? Introduction to Lorentz Geometry: Curves and Surfaces intends to provide the reader with the minimum mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously. Features: Over 300 exercises Suitable for senior undergraduates and graduates studying Mathematics and Physics Written in an accessible style without loss of precision or mathematical rigor Solution manual available on www.routledge.com/9780367468644
Introduction to Magnetic Materials, 2nd Edition
by C. D. Graham B. D. CullityIntroduction to Magnetic Materials, 2nd Edition covers the basics of magnetic quantities, magnetic devices, and materials used in practice. While retaining much of the original, this revision now covers SQUID and alternating gradient magnetometers, magnetic force microscope, Kerr effect, amorphous alloys, rare-earth magnets, SI Units alongside cgs units, and other up-to-date topics. In addition, the authors have added an entirely new chapter on information materials. The text presents materials at the practical rather than theoretical level, allowing for a physical, quantitative, measurement-based understanding of magnetism among readers, be they professional engineers or graduate-level students.
Introduction to Mathematica® for Physicists
by Andrey GrozinThe basics of computer algebra and the language of Mathematica are described. This title will lead toward an understanding of Mathematica that allows the reader to solve problems in physics, mathematics, and chemistry. Mathematica is the most widely used system for doing mathematical calculations by computer, including symbolic and numeric calculations and graphics. It is used in physics and other branches of science, in mathematics, education and many other areas. Many important results in physics would never be obtained without a wide use of computer algebra.
An Introduction to Mathematical Relativity (Latin American Mathematics Series)
by José NatárioThis concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics. It emerged from lecture notes originally conceived for a one-semester course in Mathematical Relativity which has been taught at the Instituto Superior Técnico (University of Lisbon, Portugal) since 2010 to Masters and Doctorate students in Mathematics and Physics. Mostly self-contained, and mathematically rigorous, this book can be appealing to graduate students in Mathematics or Physics seeking specialization in general relativity, geometry or partial differential equations. Prerequisites include proficiency in differential geometry and the basic principles of relativity. Readers who are familiar with special relativity and have taken a course either in Riemannian geometry (for students of Mathematics) or in general relativity (for those in Physics) can benefit from this book.
Introduction to Matrix Theory
by Arindama SinghThis book is designed to serve as a textbook for courses offered to undergraduate and postgraduate students enrolled in Mathematics. Using elementary row operations and Gram-Schmidt orthogonalization as basic tools the text develops characterization of equivalence and similarity, and various factorizations such as rank factorization, OR-factorization, Schurtriangularization, Diagonalization of normal matrices, Jordan decomposition, singular value decomposition, and polar decomposition. Along with Gauss-Jordan elimination for linear systems, it also discusses best approximations and least-squares solutions. The book includes norms on matrices as a means to deal with iterative solutions of linear systems and exponential of a matrix. The topics in the book are dealt with in a lively manner. Each section of the book has exercises to reinforce the concepts, and problems have been added at the end of each chapter. Most of these problems are theoretical, and they do not fit into the running text linearly. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in senior undergraduate and beginning postgraduate mathematics courses.
Introduction to Mechatronics: An Integrated Approach
by Biswanath SamantaThis textbook presents mechatronics through an integrated approach covering instrumentation, circuits and electronics, computer-based data acquisition and analysis, analog and digital signal processing, sensors, actuators, digital logic circuits, microcontroller programming and interfacing. The use of computer programming is emphasized throughout the text, and includes Matlab for system modeling, simulation, and analysis; LabVIEW for data acquisition and signal processing; and C++ for Arduino-based microcontroller programming and interfacing. Prof. Samanta provides numerous examples along with appropriate program codes, for simulation and analysis, that are discussed in detail to illustrate the concepts covered in each section. The book also includes the illustration of theoretical concepts through the virtual simulation platform Tinkercad to provide students virtual lab experience.
An Introduction to Mesoscale Meteorology
by Shaowen Shou Shenshen Li Yixuan Shou Xiuping YaoThis book provides a comprehensive introduction of mesoscale meteorology which is one of the important branches of meteorology, studying majorly mesoscale atmospheric systems. It focuses on introduction of the basic knowledge about mesoscale meteorology. It contains the features and equation set of mesoscale atmospheric motions, the topographically forced mesoscale circulations, the gravity waves in free atmosphere, the front and jet stream, the mesoscale convective systems (MCSs), the atmospheric instability, the factors effecting the development of MCSs, mesoscale weather diagnosis and forecasting. This book provides many figures and basic formulas to help reader understanding the basic knowledge. What is mesoscale weather system? How the mesoscale systems influence severe disaster weather? How to forecast the mesoscale severe disaster weather? You will find the answers in it. This book will be of interest to both graduate students majoring in meteorology and the meteorological researchers.
An Introduction to Metamorphic Petrology
by Bruce Yardley Clare WarrenThis second edition is fully updated to include new developments in the study of metamorphism as well as enhanced features to facilitate course teaching. It integrates a systematic account of the mineralogical changes accompanying metamorphism of the major rock types with discussion of the conditions and settings in which they formed. The use of textures to understand metamorphic history and links to rock deformation are also explored. Specific chapters are devoted to rates and timescales of metamorphism and to the tectonic settings in which metamorphic belts develop. These provide a strong connection to other parts of the geology curriculum. Key thermodynamic and chemical concepts are introduced through examples which demonstrate their application and relevance. Richly illustrated in colour and featuring end-of-chapter and online exercises, this textbook is a comprehensive introduction to metamorphic rocks and processes for undergraduate students of petrology, and provides a solid basis for advanced study and research.
Introduction to Metamorphic Textures and Microstructures
by A.J. BarkerA text which aims to help undergraduate students in geology to recognize and interpret metamorphic textures and microstructures in thin-section. For lecturers and postgraduates in geology and petrology, the book provides reference for the interpretation of metamorphic rocks.
An Introduction to Mine Hydrogeology (SpringerBriefs in Water Science and Technology)
by Pradipta Kumar DebAn Introduction to Mine Hydrogeology briefly describes the subject of hydrogeology so that this knowledge can be integrated into mine development planning. It emphasizes not only the hydrochemical but also the physical impacts of the hydrogeological environment on the mine and its surroundings. Further, it discusses the methodologies used in mine hydrogeological studies, showcased by selected studies on Indian mines.
Introduction to mineral sciences
by Andrew PutnisThe subject of mineralogy is moving away from the traditional systematic treatment of mineral groups toward the study of the behaviour of minerals in relation to geological processes. A knowledge of how minerals respond to a changing geological environment is fundamental to our understanding of many dynamic earth processes. By adopting a materials science approach, An Introduction to Mineral Sciences explains the principles underlying the modern study of minerals, discussing the behaviour of crystalline materials with changes in temperature, pressure and chemical environment. The concepts required to understand mineral behaviour are often complex, but are presented here in simple, non-mathematical terms for undergraduate mineralogy students. After introductory chapters describing the principles of diffraction, imaging and the spectroscopic methods used to study minerals, the structure and behaviour of the main groups of rock-forming minerals are covered, and the role of defects in the deformation and transformation of a mineral are explained. The energy changes and the rate of transformation processes are introduced using a descriptive approach rather than attempting a complete and rigorous treatment of the thermodynamics and kinetics. Examples and case histories from a range of mineral groups are set in an earth science context, such that the emphasis of this book is to allow the student to develop an intuitive understanding of the structural principles controlling the behaviour of minerals.
Introduction To Mineralogy
by William NesseThe second edition of Introduction to Mineralogy follows the highly successful first edition, which become an overnight market leader. Introduction to Mineralogy consolidates much of the material now covered in traditional mineralogy and optical mineralogy courses and focuses on describing minerals within their geologic context. It presents the important traditional content of mineralogy including crystallography, chemical bonding, controls on mineral structure, mineral stability, and crystal growth to provide a foundation that enables students to understand the nature and occurrence of minerals. Physical, optical, and X-ray powder diffraction techniques of mineral study are described in detail, and common chemical analytical methods are outlined as well. Detailed descriptions of over 100 common minerals are provided, and the geologic context within which these minerals occur is emphasized. Appendices provide tables and diagrams to help students with mineral identification, using both physical and optical properties. Numerous line drawings, photographs, and photomicrographs help make complex concepts understandable. Introduction to Mineralogy is available with Daniel Schulze's An Atlas of Minerals in Thin Section for a nominal additional fee. NEW TO THIS EDITION: -New 2-color design to clarify information hierarchy and presentation -Expanded selection of mineral photos -Improved presentation of physical properties of minerals in chapter 1 -Updated mineral descriptions -New coverage of minerals and health
Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation (Princeton Series in Astrophysics #24)
by Gary A. GlatzmaierThis book provides readers with the skills they need to write computer codes that simulate convection, internal gravity waves, and magnetic field generation in the interiors and atmospheres of rotating planets and stars. Using a teaching method perfected in the classroom, Gary Glatzmaier begins by offering a step-by-step guide on how to design codes for simulating nonlinear time-dependent thermal convection in a two-dimensional box using Fourier expansions in the horizontal direction and finite differences in the vertical direction. He then describes how to implement more efficient and accurate numerical methods and more realistic geometries in two and three dimensions. In the third part of the book, Glatzmaier demonstrates how to incorporate more sophisticated physics, including the effects of magnetic field, density stratification, and rotation. Featuring numerous exercises throughout, this is an ideal textbook for students and an essential resource for researchers. Describes how to create codes that simulate the internal dynamics of planets and stars Builds on basic concepts and simple methods Shows how to improve the efficiency and accuracy of the numerical methods Describes more relevant geometries and boundary conditions Demonstrates how to incorporate more sophisticated physics
An Introduction to Modeling Neuronal Dynamics
by Christoph BörgersThis book is intended as a text for a one-semester course on Mathematical and Computational Neuroscience for upper-level undergraduate and beginning graduate students of mathematics, the natural sciences, engineering, or computer science. An undergraduate introduction to differential equations is more than enough mathematical background. Only a slim, high school-level background in physics is assumed, and none in biology. Topics include models of individual nerve cells and their dynamics, models of networks of neurons coupled by synapses and gap junctions, origins and functions of population rhythms in neuronal networks, and models of synaptic plasticity.An extensive online collection of Matlab programs generating the figures accompanies the book.
Introduction to Modeling Sustainable Development in Business Processes: Theory and Case Studies
by Dirk InghelsSustainable development and corporate social responsibility drive countries, regions, and businesses to take environmental and social concerns into account when realizing economic objectives. A growing awareness of the connectedness between industrial, societal, and environmental systems might shift the way businesses will be operated. This book aims to help students and business practitioners use quantitative modeling in their pursuit to make business processes sustainable. Two approaches are introduced: linear optimization and system dynamics. Moreover, the quantification of the three different sustainability objectives is also addressed. Next to introducing the theoretical background, many real-life examples are discussed to demonstrate how the modelling techniques can be applied.
Introduction to Modern Climate Change
by Andrew DesslerThis is an invaluable textbook for any introductory survey course on the science and policy of climate change, for both non-science majors and introductory science students. The second edition has been thoroughly updated to reflect the most recent science from the latest Intergovernmental Panel on Climate Change reports, and many illustrations include new data. The new edition also reflects advances in the political debate over climate change. Unique amongst textbooks on climate change, it combines an introduction to the science with an introduction to economic and policy issues, and is tightly focused on anthropogenic climate change. It contains the necessary quantitative depth for students to properly understand the science of climate change. It supports students in using algebra to understand simple equations and to solve end of chapter problems. Supplementary online resources include a complete set of PowerPoint figures for instructors, solutions to exercises, videos of the author's lectures, and additional computer exercises.
Introduction to Modern Climate Change
by Andrew E. DesslerThis textbook is tightly focused on the problem of anthropogenic climate change. It is unique among textbooks on climate change in that it combines an introduction of the science with an introduction to the non-science issues such as the economic and policy options. Unlike more purely descriptive textbooks, it contains the quantitative depth that is necessary for an adequate understanding of the science of climate change. The goal of the book is for a student to leave the class ready to engage in the public policy debate on this issue. This is an invaluable textbook for any introductory survey course on the science and policy of climate change, for both non-science majors and introductory science students.
Introduction to Modern Fortran for the Earth System Sciences
by Dragos B. Chirila Gerrit LohmannThis work provides a short "getting started" guide to Fortran 90/95. The main target audience consists of newcomers to the field of numerical computation within Earth system sciences (students, researchers or scientific programmers). Furthermore, readers accustomed to other programming languages may also benefit from this work, by discovering how some programming techniques they are familiar with map to Fortran 95. The main goal is to enable readers to quickly start using Fortran 95 for writing useful programs. It also introduces a gradual discussion of Input/Output facilities relevant for Earth system sciences, from the simplest ones to the more advanced netCDF library (which has become a de facto standard for handling the massive datasets used within Earth system sciences). While related works already treat these disciplines separately (each often providing much more information than needed by the beginning practitioner), the reader finds in this book a shorter guide which links them. Compared to other books, this work provides a much more compact view of the language, while also placing the language-elements in a more applied setting, by providing examples related to numerical computing and more advanced Input/Output facilities for Earth system sciences. Naturally, the coverage of the programming language is relatively shallow, since many details are skipped. However, many of these details can be learned gradually by the practitioner, after getting an overview and some practice with the language through this book.
An Introduction to Modern Timekeeping and Time Transfer (Springer Series in Measurement Science and Technology)
by Parameswar Banerjee Demetrios MatsakisThis book provides a comprehensive, systematic description of modern timekeeping and its specializations. Introductory chapters discuss the concept of time and its definition, then briefly look at pre-Atomic Era timekeeping to set the stage for the introduction of the atomic clock. Subsequent chapters focus on concepts such as frequency stability and measurement uncertainty, as well as computer network time-synchronization protocols including Network Time Protocol (NTP) and Precise Time Protocol (PTP). The book then delves into the nuts and bolts of the Global Navigation Satellite Systems (GNSS), Two-Way Satellite Time and Frequency Transfer, and Optical Time and Frequency Transfer. Timescale theory is then described as a way to combine clock data, and the algorithms and procedures used to generate Coordinated Universal Time (UTC) are given. Finally, there is a look at modern applications of timekeeping and time transfer.Featuring a glossary of all key terms, this book is highly recommended for trained or incoming physicists, engineers, or mathematicians working, for example, in manufacturing or timing laboratories. Additionally, it is suitable for use in introductory university courses dealing with the subject of timekeeping.
Introduction to Municipal Water Quality Management (Routledge/UNISA Press Series)
by Johannes HaarhoffThe focus of municipalities has been on the supply of sufficient water quantities to the public with less attention paid to water quality. The deteriorating quality of raw water sources necessitates increased attention to water quality with professional scientists playing a central role at municipalities and water boards together with professional engineers. With many stringent regulations on the quality of drinking water and recreational water bodies, the young municipal chemist needs a handy manual to assist in the often neglected and complicated field of municipal water management. Grounded in Science, Introduction to Municipal Water Quality Management not only links theory and regulations in practice but also offers simple numerical examples to better understand the rules and encourage a quantitative application to everyday problems. Developed from a series of lectures between 2015 and 2019, Introduction to Municipal Water Quality Management will give young professionals the confidence to analyse their results and apply their knowledge in a numerical fashion.