Mathematics of Discrete Structures for Computer Science

The IUCN Academy of Environmental Law Research Studies' third colloquium of 2005 brought together more than 130 experts from 27 nations on nearly every continent. This book brings together a number of the papers presented there and offers a global perspective on biodiversity conservation and the maintenance of sustainable cultures. It addresses issues from international, regional, and country-specific perspectives. The book is organized thematically to present a broad spectrum of issues, including the history and major governance structures in this area; the needs, problems, and prerequisites for biodiversity; area-based, species-based, and ecosystem-based conservation measures; the use of components of biodiversity and the processes affecting it; biosecurity; and access to and sharing of benefits from components of biodiversity and their economic value.

Riparian Landscapes examines the ecological systems of streamside and floodplain areas from the perspective of landscape ecology. The specific spatial pattern of riparian vegetation is seen as a result of, and a control on, the ecological, geomorphological, and hydrological processes that operate along rivers. Riparian structures are controlled by the spatial dynamics of channels, flooding and soil moisture. These dynamics are part of integrated cascades of water, sediment, nutrients and carbon, to which animal and plant species respond in ways that illuminate community structure and competition. The role of the riparian zone in controlling species distribution and abundance is discussed. Intelligent management of these valuable ecological resources is highlighted. The potential for linking hydrological, geomorphological and ecological simulation models is also explored.

Riparian Landscapes examines the ecological systems of streamside and floodplain areas from the perspective of landscape ecology. The specific spatial pattern of riparian vegetation is seen as a result of, and a control on, the ecological, geomorphological, and hydrological processes that operate along rivers. Riparian structures are controlled by the spatial dynamics of channels, flooding and soil moisture. These dynamics are part of integrated cascades of water, sediment, nutrients and carbon, to which animal and plant species respond in ways that illuminate community structure and competition. The role of the riparian zone in controlling species distribution and abundance is discussed. Intelligent management of these valuable ecological resources is highlighted. The potential for linking hydrological, geomorphological and ecological simulation models is also explored.

Symmetric designs are an important class of combinatorial structures which arose first in the statistics and are now especially important in the study of finite geometries. This book presents some of the algebraic techniques that have been brought to bear on the question of existence, construction and symmetry of symmetric designs – including methods inspired by the algebraic theory of coding and by the representation theory of finite groups – and includes many results. Rich in examples and containing over 100 problems, the text also provides an introduction to many of the modern algebraic approaches used, through six lengthy appendices and supplementary problems. The book will be of interest to both combinatorialists and algebraists, and could be used as a course text for a graduate course.

A big book full of fun alien-themed puzzles and fascinating facts about the search for extra-terrestrial life.Children will enjoy exploring the known universe and imagining unknown worlds as they crack alien message codes, finalize spaceship designs and hunt for hidden planets in this fact-filled book. The fun puzzle activities are designed to nurture key skills in maths, language and reasoning while providing plenty of science fact- and fiction-based fun.

Most environmental statutes passed since 1970 have endorsed a pragmatic or 'precautionary' principle under which the existence of a significant risk is enough to trigger regulation. At the same time, targets of such regulation have often argued on grounds of inefficiency that the associated costs outweigh any potential benefits. In this work, Jason Johnston unpacks and critiques the legal, economic, and scientific basis for precautionary climate policies pursued in the United States and in doing so sheds light on why the global warming policy debate has become increasingly bitter and disconnected from both climate science and economics. Johnston analyzes the most influential international climate science assessment organizations, the US electric power industry, and land management and renewable energy policies. Bridging sound economics and climate science, this pathbreaking book shows how the United States can efficiently adapt to a changing climate while radically reducing greenhouse

Most environmental statutes passed since 1970 have endorsed a pragmatic or 'precautionary' principle under which the existence of a significant risk is enough to trigger regulation. At the same time, targets of such regulation have often argued on grounds of inefficiency that the associated costs outweigh any potential benefits. In this work, Jason Johnston unpacks and critiques the legal, economic, and scientific basis for precautionary climate policies pursued in the United States and in doing so sheds light on why the global warming policy debate has become increasingly bitter and disconnected from both climate science and economics. Johnston analyzes the most influential international climate science assessment organizations, the US electric power industry, and land management and renewable energy policies. Bridging sound economics and climate science, this pathbreaking book shows how the United States can efficiently adapt to a changing climate while radically reducing greenhouse

Arguably the strongest addition to numerical finance of the past decade, Algorithmic Adjoint Differentiation (AAD) is the technology implemented in modern financial software to produce thousands of accurate risk sensitivities, within seconds, on light hardware.AAD recently became a centerpiece of modern financial systems, and a key skill for all quantitative analysts, developers, risk professionals or anyone involved with derivatives. It is increasingly taught in Masters programs in finance.Wiley's Computational Finance books, written by some of the very people who wrote Danske Bank's award-winning systems, offer a unique insight into the modern implementation of financial models. The volumes combine financial modelling, mathematics and programming to resolve real life financial problems and produce effective derivatives software.This volume is a complete, self-contained learning reference for AAD, and its application in finance. AAD is explained in deep detail throughout chapters that

This accessible, self-contained guide contains everything you need to get up to speed on the theory and implementation of MIMO techniques. In-depth coverage of topics such as RF propagation, space-time coding, spatial multiplexing, OFDM in MIMO for broadband applications, the theoretical MIMO capacity formula and channel estimation will give you a deep understanding of how the results are obtained, while detailed descriptions of how MIMO is implemented in commercial WiFi and LTE networks will help you apply the theory to practical wireless systems. Key concepts in matrix mathematics and information theory are introduced and developed as you need them, and key results are derived step-by-step, with no details omitted. Including numerous worked examples, and end-of-chapter exercises to reinforce and solidify your understanding, this is the perfect introduction to MIMO for anyone new to the field.

This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realisation of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field.

This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realisation of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field.

Based on TD–LTE technology, this book adopts a learning mode that features modularized training, and chooses the eNodeB made by Datang Telecom Group as learning platform. Hardware structures, installation of the host, and antenna connection of 4G base station are explained in a comprehensive and detailed way through specific task modules. The book is divided into 3 training modules including Introduction to TD–LTE Base Station and EPC Network, Installation of Base Station Equipment, and Installation of Auxiliary Equipment in Base Station and Optical Fiber Fusion Splicing. Readers can carry out correct installation and connection of 4G base station equipment by completing these three training modules. The purpose of this book lies in cultivating high-quality and skilled personnel who can construct and maintain 4G base station, helping them master the skills required for operating and maintaining communication base station, and meeting the requirements for standardized on-site maintenanc

Build your skills in the assessment of musculoskeletal pathology! Orthopedic Physical Assessment, 7th Edition covers the principles of assessment for all of the body's structures and joints, including topics such as gait, posture, the head and face, amputees, primary care, and sports emergencies. The Student Consult ebook version includes all of the photos and drawings from the print book plus additional functional assessment forms (e-tools), updated evidence-based reliability and validity tables, and hundreds of video clips demonstrating special tests on how to perform musculoskeletal assessment. Written by noted PT educators David J.Magee and Robert C. Manske, this reference uses a systematic, evidence-based approach to prepare you for success in clinicals, board exams, and in rehabilitation practice. Over 2,500 full-color illustrations and photographs depict key concepts, along with assessment techniques and special tests.At-a-glance icons show the clinical utility of special tests,

Construction grammar (CxG) is a framework for syntactic analysis that takes constructions - pairings of form and meaning that range from the highly idiomatic to the very general - to be the building blocks of sentence meaning. Offering the first comprehensive introduction to CxG to focus on both English words and the constructions that combine them, this textbook shows students not only what the analyses of particular structures are, but also how and why those analyses are constructed, with each chapter taking the student step-by-step through the reasoning processes that yield the best description of a data set. It offers a wealth of illustrative examples and exercises, largely based on real language data, making it ideal for both self-study and classroom use. Written in an accessible and engaging way, this textbook will open up this increasingly popular linguistic framework to anyone interested in the grammatical patterns of English.

Construction grammar (CxG) is a framework for syntactic analysis that takes constructions - pairings of form and meaning that range from the highly idiomatic to the very general - to be the building blocks of sentence meaning. Offering the first comprehensive introduction to CxG to focus on both English words and the constructions that combine them, this textbook shows students not only what the analyses of particular structures are, but also how and why those analyses are constructed, with each chapter taking the student step-by-step through the reasoning processes that yield the best description of a data set. It offers a wealth of illustrative examples and exercises, largely based on real language data, making it ideal for both self-study and classroom use. Written in an accessible and engaging way, this textbook will open up this increasingly popular linguistic framework to anyone interested in the grammatical patterns of English.

Who votes for radical right parties and why? This book argues that the increasing popularity of the radical right in Europe originates in community bonds: strong ties to one's locality motivate support for the radical right. These parties use nostalgic themes and symbolic politicking to idealize community, defend local autonomy, and ultimately draw local identity into the electoral realm. While other explanations of the radical right's popularity typify supporters as victims of macro-economic shifts and strains, the author's account explores people's day-to-day experiences that link local connections to political decisions. The analysis also raises questions about the political implications of different formal authority structures such as the level and nature of power devolved to local units. The localist model of radical right support illuminates the psychological, social, and institutional conditions and processes that render people's feelings about their cities, towns, and villages

What are the physical paths towards consciousness? How do humans transition out of deep anesthesia, deep sleep, or traumatic brain injury? This book presents a new argument that expands past theories centered on the cerebral cortex, and instead emphasizes the longitudinally-integrated brainstem systems that are essential to the mechanism of consciousness. The workings of these vertical pathways that 'wake up the brain' are examined in neurobiological and molecular detail. Mirroring the evolution of this system from fish to humans, chapters in the book move from hindbrain to forebrain and from animal brain to human brain, developing the unified approach involved in the brain arousal mechanism. Considering consciousness through an array of neuronal structures, this book provides a new physical explanation of the phenomenon. Written for neurologists, neuroscientists, psychologists and psychiatrists, the book's succinct and readable tone means it is also suitable for readers interested in

Who votes for radical right parties and why? This book argues that the increasing popularity of the radical right in Europe originates in community bonds: strong ties to one's locality motivate support for the radical right. These parties use nostalgic themes and symbolic politicking to idealize community, defend local autonomy, and ultimately draw local identity into the electoral realm. While other explanations of the radical right's popularity typify supporters as victims of macro-economic shifts and strains, the author's account explores people's day-to-day experiences that link local connections to political decisions. The analysis also raises questions about the political implications of different formal authority structures such as the level and nature of power devolved to local units. The localist model of radical right support illuminates the psychological, social, and institutional conditions and processes that render people's feelings about their cities, towns, and villages

'Laughter', says Eric Weitz, 'may be considered one of the most extravagant physical effects one person can have on another without touching them'. But how do we identify something which is meant to be comic, what defines something as 'comedy', and what does this mean for the way we enter the world of a comic text? Addressing these issues, and many more, this is a 'how to' guide to reading comedy from the pages of a dramatic text, with relevance to anything from novels and newspaper columns to billboards and emails. The book enables you to enhance your grasp of the comic through familiarity with characteristic structures and patterns, referring to comedy in literature, film and television throughout. Perfect for drama and literature students, this Introduction explores a genre which affects the everyday lives of us all, and will therefore also capture the interest of anyone who loves to laugh.

The Cat in the Hat introduces young readers to nature’s perfect package! Young readers will be delighted to join the Cat in the Hat as he cracks open the science of eggs—from the different animals that lay them to the amazing shapes, sizes, and colors they can be! An ideal choice for supporting preschool and kindergarten egg science curriculum, kids will learn about kinds of nests, the stages of development inside a chicken egg, and much, much more. Fans of the hit PBS Kids television show The Cat in the Hat Knows a Lot About That! won’t want to miss this egg-citing new addition to the Learning Library series!

In the proud tradition of SPIDER-MAN: LIFE STORY ― and in celebration of the Fantastic Four’s 60th Anniversary ― comes this incredible exploration of the lives of the fabulous foursome if they aged in real time across the decades! Amid the backdrop of the Space Race, a terrible accident gives the Fantastic Four great powers, a shocking secret, and entangles them in the history of their planet. But as the years pass by, the four heroes struggle to find their role in a rapidly changing world. As Sue continues to fight for social causes, Reed becomes increasingly obsessed with preparing for the impending arrival of Galactus! But will his plans be derailed by the Cold War? Meanwhile, a maverick genius offers hope to humanity with his new computer company…but is hope all he’s offering?COLLECTING: Fantastic Four: Life Story (2021) 1-6

IAU Symposium 309 contains contributions on the timely theme of spatially and energetically resolved properties of galaxies. New technologies in 3D spectroscopy in the optical and near-infrared regimes, and radio interferometry, allow for the first time the efficient mapping of stars, gas and dust in galaxies near and far. This volume demonstrates how detailed measurements of individual objects are complemented by surveys aiming at a full census of galaxies across the local Universe. Reaching out to the limits of the Universe, the evolution of spatially resolved properties is traced throughout our whole cosmic history. In parallel with this, new computer technology and highly advanced algorithms are exploited for detailed simulations to probe the underlying physical and cosmological connections. This volume benefits astronomers and graduate students working in areas relating to galaxy formation and evolution, star formation, dust and stellar populations.

Ab initio molecular dynamics revolutionized the field of realistic computer simulation of complex molecular systems and processes, including chemical reactions, by unifying molecular dynamics and electronic structure theory. This book provides the first coherent presentation of this rapidly growing field, covering a vast range of methods and their applications, from basic theory to advanced methods. This fascinating text for graduate students and researchers contains systematic derivations of various ab initio molecular dynamics techniques to enable readers to understand and assess the merits and drawbacks of commonly used methods. It also discusses the special features of the widely used Car–Parrinello approach, correcting various misconceptions currently found in research literature. The book contains pseudo-code and program layout for typical plane wave electronic structure codes, allowing newcomers to the field to understand commonly used program packages and enabling developers to

Ab initio molecular dynamics revolutionized the field of realistic computer simulation of complex molecular systems and processes, including chemical reactions, by unifying molecular dynamics and electronic structure theory. This book provides the first coherent presentation of this rapidly growing field, covering a vast range of methods and their applications, from basic theory to advanced methods. This fascinating text for graduate students and researchers contains systematic derivations of various ab initio molecular dynamics techniques to enable readers to understand and assess the merits and drawbacks of commonly used methods. It also discusses the special features of the widely used Car–Parrinello approach, correcting various misconceptions currently found in research literature. The book contains pseudo-code and program layout for typical plane wave electronic structure codes, allowing newcomers to the field to understand commonly used program packages and enabling developers to

Behaviour describes animal and human behaviour, including environmental influence, behavioural development, courtship and social interaction. It covers all the material required for the study of behaviour at A-level, whilst at the same time providing an accessible and informative introduction to the fascinating science of behaviour. The authors provide a list of further reading for those who wish to learn more. The Advanced Biology Topics series of books will be of interest to students studying a wide variety of biological subjects at A-level, or as part of a vocational or undergraduate course.

Practitioners in water engineering rely on a thorough understanding of shallow water flows in order to safeguard our habitat, while at the same time sustaining the water environment. This book proposes a unified theoretical framework for the different types of shallow flow, providing a coherent approach to interpret the behaviour of such flows, and highlighting the similarities and differences. Every major topic in the book is accompanied by worked examples illustrating the theoretical concepts. Practical examples, showcasing inspiring research and engineering applications from the past and present, provide insight into how the theory developed. The book is also supplemented by a range of online resources, available at www.cambridge.org/battjes, including problem sets and computer codes. A solutions manual is available for instructors. This book is intended for students and professionals working in environmental water systems, in areas such as coasts, rivers, harbours, drainage, and ir

This textbook, derived from courses given by three leading researchers, provides advanced undergraduates and graduates with up-to-date coverage of space physics, from the Sun to the interstellar medium. Clear explanations of the underlying physical processes are presented alongside major new discoveries and knowledge gained from space missions, ground-based observations, theory, and modelling to inspire students. Building from the basics to more complex ideas, the book contains enough material for a two-semester course but the authors also provide suggestions for how the material can be tailored to fit a single semester. End-of-chapter problems reinforce concepts and include computer-based exercises specially developed for this textbook package. Free access to the software is available via the book's website and enables students to model the behavior of magnetospheric and solar plasma. An extensive glossary recaps new terms and carefully selected further reading sections encourage stud

Understanding and improving your organization's business processes is vital in today's economy. Using non-technical language, this book describes the importance of these processes and the internal and external forces that shape them. It then explains the kinds of computer software available for improving and managing business processes in a flexible way. Detailed case studies illustrate that successful process management depends on attention to the human, organizational and financial factors involved, as well as the strategic implications. Finally, the book gives even-handed guidance on what to look for in Business Process Management software and discusses current technical trends. With many clear diagrams and footnotes throughout, a glossary of terms and suggestions on further reading, the book enables the non-specialist reader to take a broad and informed view of business processes, free from technical imperatives. Ideal for non-technical managers, this book will also appeal to MBA a

This is a concise and elementary introduction to stochastic control and mathematical modelling. This book is designed for researchers in stochastic control theory studying its application in mathematical economics and those in economics who are interested in mathematical theory in control. It is also a good guide for graduate students studying applied mathematics, mathematical economics, and non-linear PDE theory. Contents include the basics of analysis and probability, the theory of stochastic differential equations, variational problems, problems in optimal consumption and in optimal stopping, optimal pollution control, and solving the Hamilton-Jacobi-Bellman (HJB) equation with boundary conditions. Major mathematical prerequisites are contained in the preliminary chapters or in the appendix so that readers can proceed without referring to other materials.

The ideal review for your physics courseMore than 40 million students have trusted Schaum’s Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum’s Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice. 3,000 solved problemsProblems from every area of physicsClear diagrams and illustrationsComprehensive index Appropriate for all high school and undergraduate physics coursesStep-by-step solutions to problemsThousands of practice problems with a wealth of problems on each topic

*Extensive applications of linear algebra concepts to a variety of real-world situations are provided. Students learn how theories and concepts of linear algebra can help solve modern-day problems.*Abundant computer exercises—more extensive than any other linear algebra book available—help students visualize and discover linear algebra, and allow them to explore more realistic applications that are too computationally intensive to work out by hand. These exercises also give students experience in performing matrix computations.*Worked-out examples illustrate new concepts, making the material less abstract and helping students quickly build their understanding.*Two chapter tests for every chapter help students study for exams and get the practice they need to master the material.*A comprehensive MATLAB® appendix gives users all the information they need to use the latest version of MATLAB.

●Presentation provides a balance of theory and practice, emphasize dynamic behavior, physical and empirical modeling, computer simulation, measurement and control technology, fundamental control concepts, and advanced control strategies.●Material is divided into reasonably short chapters to make it more readable and modular. This organization allows some chapters to be omitted without a loss of continuity.●The mathematical level of the book is oriented toward a junior or senior student in chemical engineering who has taken at least one course in differential equations.●Additional mathematical tools required for the analysis of control systems are introduced as needed. The authors emphasize process control techniques that are used in practice and provide detailed mathematical analysis only when it is essential for understanding the material.●Key theoretical concepts are illustrated with numerous examples, exercises, and simulations.

Providing the knowledge and practical experience to begin analysing scientific data, this book is ideal for physical sciences students wishing to improve their data handling skills. The book focuses on explaining and developing the practice and understanding of basic statistical analysis, concentrating on a few core ideas, such as the visual display of information, modelling using the likelihood function, and simulating random data. Key concepts are developed through a combination of graphical explanations, worked examples, example computer code and case studies using real data. Students will develop an understanding of the ideas behind statistical methods and gain experience in applying them in practice. Further resources are available at www.cambridge.org/9781107607590, including data files for the case studies so students can practise analysing data, and exercises to test students' understanding.

Providing the knowledge and practical experience to begin analysing scientific data, this book is ideal for physical sciences students wishing to improve their data handling skills. The book focuses on explaining and developing the practice and understanding of basic statistical analysis, concentrating on a few core ideas, such as the visual display of information, modelling using the likelihood function, and simulating random data. Key concepts are developed through a combination of graphical explanations, worked examples, example computer code and case studies using real data. Students will develop an understanding of the ideas behind statistical methods and gain experience in applying them in practice. Further resources are available at www.cambridge.org/9781107607590, including data files for the case studies so students can practise analysing data, and exercises to test students' understanding.

Written for advanced undergraduate and graduate students, this is the first textbook on international relations theory to take a specifically game-theoretic approach to the subject, and provide the material needed for students to understand the subject thoroughly, from its basic foundations to more complex models. International relations theory is presented and analysed using simple games, which allow students to grasp the concepts and mechanisms involved with the rationalist approach without the distraction of complicated mathematics. Chapter exercises reinforce key concepts and guide students to extend the models discussed. Drawing examples from international security, international political economy, and environmental negotiations, this introductory textbook examines a broad array of topics in international relations courses, including state preferences, normal form games, bargaining, uncertainty and communication, multilateral cooperation, and the impact of domestic politics.

Written for advanced undergraduate and graduate students, this is the first textbook on international relations theory to take a specifically game-theoretic approach to the subject, and provide the material needed for students to understand the subject thoroughly, from its basic foundations to more complex models. International relations theory is presented and analysed using simple games, which allow students to grasp the concepts and mechanisms involved with the rationalist approach without the distraction of complicated mathematics. Chapter exercises reinforce key concepts and guide students to extend the models discussed. Drawing examples from international security, international political economy, and environmental negotiations, this introductory textbook examines a broad array of topics in international relations courses, including state preferences, normal form games, bargaining, uncertainty and communication, multilateral cooperation, and the impact of domestic politics.

Suitable for advanced undergraduates, postgraduates and researchers, this self-contained textbook provides an introduction to the mathematics lying at the foundations of bifurcation theory. The theory is built up gradually, beginning with the well-developed approach to singularity theory through right-equivalence. The text proceeds with contact equivalence of map-germs and finally presents the path formulation of bifurcation theory. This formulation, developed partly by the author, is more general and more flexible than the original one dating from the 1980s. A series of appendices discuss standard background material, such as calculus of several variables, existence and uniqueness theorems for ODEs, and some basic material on rings and modules. Based on the author's own teaching experience, the book contains numerous examples and illustrations. The wealth of end-of-chapter problems develop and reinforce understanding of the key ideas and techniques: solutions to a selection are provid

Suitable for advanced undergraduates, postgraduates and researchers, this self-contained textbook provides an introduction to the mathematics lying at the foundations of bifurcation theory. The theory is built up gradually, beginning with the well-developed approach to singularity theory through right-equivalence. The text proceeds with contact equivalence of map-germs and finally presents the path formulation of bifurcation theory. This formulation, developed partly by the author, is more general and more flexible than the original one dating from the 1980s. A series of appendices discuss standard background material, such as calculus of several variables, existence and uniqueness theorems for ODEs, and some basic material on rings and modules. Based on the author's own teaching experience, the book contains numerous examples and illustrations. The wealth of end-of-chapter problems develop and reinforce understanding of the key ideas and techniques: solutions to a selection are provid

Perfect for senior undergraduates and first-year graduate students in geophysics, physics, mathematics, geology and engineering, this book is devoted exclusively to seismic wave theory. The result is an invaluable teaching tool, with its detailed derivations of formulas, clear explanations of topics, exercises along with selected answers, and an additional set of exercises with derived answers on the book's website. Some highlights of the text include: a review of vector calculus and Fourier transforms and an introduction to tensors, which prepare readers for the chapters to come; and a detailed discussion on computing reflection and transmission coefficients, a topic of wide interest in the field; a discussion in later chapters of plane waves in anisotropic and anelastic media, which serves as a useful introduction to these two areas of current research in geophysics. Students will learn to understand seismic wave theory through the book's clear and concise pedagogy.

This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so th