- Table View
- List View
The Callias Index Formula Revisited
by Fritz Gesztesy Marcus WaurickThese lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc. ) and theoretical physics (e. g. , nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much interest in computing Fredholm indices of certain linear partial differential operators. In the late 1970's, Constantine Callias found a formula for the Fredholm index of a particular first-order differential operator (intimately connected to a supersymmetric Dirac-type operator) additively perturbed by a potential, shedding additional light on the Fedosov-Hörmander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.
The Cambridge Dictionary of Statistics
by B. S. Everitt A. SkrondalIf you work with data and need easy access to clear, reliable definitions and explanations of modern statistical and statistics-related concepts, then look no further than this dictionary. Nearly 4000 terms are defined, covering medical, survey, theoretical, and applied statistics, including computational and graphical aspects. Entries are provided for standard and specialized statistical software. In addition, short biographies of over 100 important statisticians are given. Definitions provide enough mathematical detail to clarify concepts and give standard formula when these are helpful. The majority of definitions then give a reference to a book or article where the user can seek further or more specialized information, and many are accompanied by graphical material to aid understanding.
The Cambridge Social History of Modern Ireland
by Mary E. Daly Biagini Eugenio F.Covering three centuries of unprecedented demographic and economic changes, this textbook is an authoritative and comprehensive view of the shaping of Irish society, at home and abroad, from the famine of 1740 to the present day. The first major work on the history of modern Ireland to adopt a social history perspective, it focuses on the experiences and agency of Irish men, women and children, Catholics and Protestants, and in the North, South and the diaspora. An international team of leading scholars survey key changes in population, the economy, occupations, property ownership, class and migration, and also consider the interaction of the individual and the state through welfare, education, crime and policing. Drawing on a wide range of disciplinary approaches and consistently setting Irish developments in a wider European and global context, this is an invaluable resource for courses on modern Irish history and Irish studies.
The Canterbury Puzzles
by Henry DudeneyFor the mastermind who has what it takes to solve the tricky conundrums from Britain's first and greatest puzzle master.---------------------------------------Solve the puzzle of The Mystery of Ravensdene Park . . . trace the route of the butler, the gamekeeper and the two anonymous guests and the key to the mystery will reveal itself.---------------------------------------Decipher the riddle of The Frogs' Ring for The Merry Monks of Riddlewell . . . ---------------------------------------At The Squire's Christmas Puzzle Party ascertain just how many kisses had been given Under the Mistletoe Bough . . . ---------------------------------------First published in 1907, Dudeney's The Canterbury Puzzles is a classic of the genre, based on characters from Chaucer's Tales. The book contains 114 puzzles suitable for young enthusiasts, recreational mathematicians and veteran puzzlers alike. As challenging today as it was over a century ago, this ingenious book will provide hours-worth of puzzles to keep your brain alert."Regular exercise is supposed to be as necessary for the brain as for the body. Many of us are very apt to suffer from mental cobwebs, and there is nothing equal to the solving of puzzles for sweeping them away." - Henry Dudeney (1847-1930)
The Cardinals Way: How One Team Embraced Tradition and Moneyball at the Same Time
by Howard MegdalThe Cardinals Way presents an inside look at the St. Louis Cardinals, a team that has emerged as the model organization in the MLB through developing young talent and embracing analytics.The St. Louis Cardinals have experienced the kind of success that is rare in baseball. Regarded by many as the premier organization in Major League Baseball, they not only win, but do so with an apparently bottomless pool of talent, one that is mostly homegrown.Despite years of phenomenal achievements, including going to the World Series in 2004 and again in 2006, the Cardinals reinvented themselves using the "Cardinal Way," a term that has come to represent many things to fans, media, and other organizations, from an ironclad code of conduct to the team's cutting-edge use of statistic and analytics, and a farm system that has transformed baseball.Baseball journalist Howard Megdal takes fans behind the scenes and off the field, interviewing dozens of key players within the Cardinals organization, including owner Bill DeWitt and the former general manager John Mozeliak. Megdal reveals how the players are assessed and groomed using an unrivaled player development system that has created a franchise that is the envy of the baseball world.In the spirit of Moneyball, The Cardinals Way tells an in-depth, fascinating story about a consistently good franchise, the business of sports in the twenty-first century and a team that has learned how to level the playing field, turning in season after successful season.
The Career of a Research Statistician: From Consulting to Theoretical Development (Statistics for Industry, Technology, and Engineering)
by Shelemyahu ZacksThis monograph highlights the connection between the theoretical work done by research statisticians and the impact that work has on various industries. Drawing on decades of experience as an industry consultant, the author details how his contributions have had a lasting impact on the field of statistics as a whole. Aspiring statisticians and data scientists will be motivated to find practical applications for their knowledge, as they see how such work can yield breakthroughs in their field.Each chapter highlights a consulting position the author held that resulted in a significant contribution to statistical theory. Topics covered include tracking processes with change points, estimating common parameters, crossing fields with absorption points, military operations research, sampling surveys, stochastic visibility in random fields, reliability analysis, applied probability, and more. Notable advancements within each of these topics are presented by analyzing the problems facing various industries, and how solving those problems contributed to the development of the field.The Career of a Research Statistician is ideal for researchers, graduate students, or industry professionals working in statistics. It will be particularly useful for up-and-coming statisticians interested in the promising connection between academia and industry.
The Cartoon Guide to Algebra (Cartoon Guide Ser.)
by Larry GonickA comprehensive and comical new illustrated guide to algebraDo you think that a Cartesian plane is a luxury jetliner? Does the phrase "algebraic expression" leave you with a puzzled look? Do you believe that the Order of Operations is an Emmy-winning medical drama? Then you need The Cartoon Guide to Algebra to put you on the road to algebraic literacy.The Cartoon Guide to Algebra covers all of algebra's essentials—including rational and real numbers, the number line, variables, expressions, laws of combination, linear and quadratic equations, rates, proportion, and graphing—with clear, funny, and easy-to-understand illustrations, making algebra's many practical applications come alive. This latest math guide from New York Times bestselling author Larry Gonick is an essential supplement for students of all levels, in high school, college, and beyond. School's most dreaded subject has never been more fun.
The Cartoon Guide to Calculus (Cartoon Guide Series)
by Larry GonickA complete—and completely enjoyable—new illustrated guide to calculusMaster cartoonist Larry Gonick has already given readers the history of the world in cartoon form. Now, Gonick, a Harvard-trained mathematician, offers a comprehensive and up-to-date illustrated course in first-year calculus that demystifies the world of functions, limits, derivatives, and integrals. Using clear and helpful graphics—and delightful humor to lighten what is frequently a tough subject—he teaches all of the essentials, with numerous examples and problem sets. For the curious and confused alike, The Cartoon Guide to Calculus is the perfect combination of entertainment and education—a valuable supplement for any student, teacher, parent, or professional.
The Cartoon Guide to Geometry
by Larry GonickA comprehensive new illustrated guide to geometry—from New York Times bestselling cartoonist Larry GonickWhat's the point of points? Where do we draw the line? If there are two sides to everything, then what's up with triangles, squares, and polygons?Once again, mathematician-turned-cartoonist Larry Gonick uses his unique gift for witty, lively, and clear exposition to demystify another complex subject: geometry.Moving from the most basic geometrical concepts—planes, lines, and points—through elementary postulates and to elaborate proofs, The Cartoon Guide to Geometry is a comprehensive primer on all the essentials of plane geometry: angles, triangles, area, similarity, and, yes, the Pythagorean theorem. Carefully tailored to the curriculum standards and standardized testing guidelines of the subject, the book provides innovative visuals that develop proofs and constructions with sequential graphics rather than single illustrations. The reader emerges with a deep grasp of key ideas—and has fun getting there.
The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations
by J. C. Meyer D. J. NeedhamReaction-diffusion theory is a topic which has developed rapidly over the last thirty years, particularly with regards to applications in chemistry and life sciences. Of particular importance is the analysis of semi-linear parabolic PDEs. This monograph provides a general approach to the study of semi-linear parabolic equations when the nonlinearity, while failing to be Lipschitz continuous, is Hölder and/or upper Lipschitz continuous, a scenario that is not well studied, despite occurring often in models. The text presents new existence, uniqueness and continuous dependence results, leading to global and uniformly global well-posedness results (in the sense of Hadamard). Extensions of classical maximum/minimum principles, comparison theorems and derivative (Schauder-type) estimates are developed and employed. Detailed specific applications are presented in the later stages of the monograph. Requiring only a solid background in real analysis, this book is suitable for researchers in all areas of study involving semi-linear parabolic PDEs.
The Cauchy Transform, Potential Theory and Conformal Mapping
by Steven R. BellThe Cauchy Transform, Potential Theory and Conformal Mapping explores the most central result in all of classical function theory, the Cauchy integral formula, in a new and novel way based on an advance made by Kerzman and Stein in 1976.The book provides a fast track to understanding the Riemann Mapping Theorem. The Dirichlet and Neumann problems f
The Cauchy-Schwarz Master Class
by J. Michael SteeleThis lively, problem-oriented text is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Holder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics. "
The Causes and Consequences of Income Tax Noncompliance
by Jeffrey A. DubinTaxpayer compliance is a voluntary activity, and the degree to which the tax system works is affected by taxpayers' knowledge that it is their moral and legal responsibility to pay their taxes. Taxpayers also recognize that they face a lottery in which not all taxpayer noncompliance will ever be detected. In the United States most individuals comply with the tax law, yet the tax gap has grown significantly over time for individual taxpayers. The US Internal Revenue Service attempts to ensure that the minority of taxpayers who are noncompliant pay their fair share with a variety of enforcement tools and penalties. The Causes and Consequences of Income Tax Noncompliance provides a comprehensive summary of the empirical evidence concerning taxpayer noncompliance and presents innovative research with new results on the role of IRS audit and enforcements activities on compliance with federal and state income tax collection. Other issues examined include to what degree taxpayers respond to the threat of civil and criminal enforcement and the important role of the media on taxpayer compliance. This book offers researchers, students, and tax administrators insight into the allocation of taxpayer compliance enforcement and service resources, and suggests policies that will prevent further increases in the tax gap. The book's aggregate data analysis methods have practical applications not only to taxpayer compliance but also to other forms of economic behavior, such as welfare fraud.
The Center and Focus Problem: Algebraic Solutions and Hypotheses (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by M.N. Popa V.V. PricopThe Center and Focus Problem: Algebraic Solutions and Hypotheses, M. N. Popa and V.V. Pricop, ISBN: 978-1-032-01725-9 (Hardback) This book focuses on an old problem of the qualitative theory of differential equations, called the Center and Focus Problem. It is intended for mathematicians, researchers, professors and Ph.D. students working in the field of differential equations, as well as other specialists who are interested in the theory of Lie algebras, commutative graded algebras, the theory of generating functions and Hilbert series. The book reflects the results obtained by the authors in the last decades. A rather essential result is obtained in solving Poincaré's problem. Namely, there are given the upper estimations of the number of Poincaré-Lyapunov quantities, which are algebraically independent and participate in solving the Center and Focus Problem that have not been known so far. These estimations are equal to Krull dimensions of Sibirsky graded algebras of comitants and invariants of systems of differential equations. Table of Contents 1. Lie Algebra Of Operators Of Centro-Affine Group Representation In The Coefficient Space Of Polynomial Differential Systems 2. Differential Equations For Centro-Affine Invariants And Comitants Of Differential Systems And Their Applications 3. Generating Functions And Hilbert Series For Sibirsky Graded Algebras Of Comitants And Invariants Of Differential Systems 4. Hilbert Series For Sibirsky Algebras And Krull Dimension For Them 5. About The Center And Focus Problem 6. On The Upper Bound Of The Number Of Algebraically Independent Focus Quantities That Take Part In Solving The Center And Focus Problem For The System s(1,m1,…,m`) 7. On The Upper Bound Of The Number Of Algebraically Independent Focus Quantities That Take Part In Solving The Center And Focus Problem For Lyapunov System. Bibliography Appendixes Biographies Popa Mihail Nicolae, holds a Ph.D. from Gorky University (now Nizhny Novgorod, Russia). He has served as Director and Deputy Director of Vladimir Andrunachievici Institute of Mathematics and Computer Science (IMCS)) in the Laboratory of Differential Equations. He is Professor at the State University of Tiraspol (based in Chisinau). His scientific interests are related to the invariant processes in the qualitative theory of differential equations, Lie algebras and commutative graded algebras, generating functions and Hilbert series, orbit theory, Lyapunov stability theory. Pricop Victor Vasile, holds a Ph.D. from Vladimir Andrunachievici Institute of Mathematics and Computer Science. He is professor at the State Institute of International Relations of Moldova. Victor Pricop's scientific interests are related to Lie algebras and graded algebras of invariants and comitants, generating functions and Hilbert series, applications of algebras to polynomial differential systems.
The Challenge of Chance: A Multidisciplinary Approach from Science and the Humanities (The Frontiers Collection)
by Klaas Landsman Ellen WoldeThis book presents a multidisciplinary perspective on chance, with contributions from distinguished researchers in the areas of biology, cognitive neuroscience, economics, genetics, general history, law, linguistics, logic, mathematical physics, statistics, theology and philosophy. The individual chapters are bound together by a general introduction followed by an opening chapter that surveys 2500 years of linguistic, philosophical, and scientific reflections on chance, coincidence, fortune, randomness, luck and related concepts. A main conclusion that can be drawn is that, even after all this time, we still cannot be sure whether chance is a truly fundamental and irreducible phenomenon, in that certain events are simply uncaused and could have been otherwise, or whether it is always simply a reflection of our ignorance. Other challenges that emerge from this book include a better understanding of the contextuality and perspectival character of chance (including its scale-dependence), and the curious fact that, throughout history (including contemporary science), chance has been used both as an explanation and as a hallmark of the absence of explanation. As such, this book challenges the reader to think about chance in a new way and to come to grips with this endlessly fascinating phenomenon.
The Challenges of Time: Myth, Physics, Environment
by Walter GrassiThis book represents a journey through the history of science in regards to the concept of time, specifically, the question as to whether it is absolute, relative, or irreversible. The best-known contribution, or at least the most popular one, came from Einstein. He took the illusion that time was universal, a concept dating back, essentially, to Galileo and Newton, and shattered it, both within and without the scientific community. Thermodynamics teaches us that time has a preferential direction, i.e., forward, and is irreversible, as shown by Prigogine and his theories on dissipative structures and complex systems. Time is not only an “external spectator” to what happens, but assiduously takes part in making it happen. The concept of thermodynamics shows us how time is linked with environmental issues, as creator and destroyer. The author explores the relationships of cause and effect and how it can help in measuring the various eras of the planet, as well as understanding the beings that inhabit it. This book will be a valuable read for students, researchers, and interested laypersons alike.
The Changing Migrant Composition of Australia’s Population: Past, Present and Future (SpringerBriefs in Population Studies)
by Tom Wilson Peter McDonald Bianca Brijnath Jeromey Temple Ariane UtomoThis book looks at how Australia's migrant population composition is likely to change over coming decades. The book divides Australia's population into 48 countries of birth groupings and projects the birthplace populations out to 2066 according to the range of scenarios. These projections indicate a massive shift in Australia’s migrant composition from a European to an Asian-dominated population over the coming decades—a change which can be interpreted as a third demographic transition. By providing detailed consideration of the implications of the changing population composition, this book is a great resource for academics, government and private sector services.
The Changing Profile of Corporate Climate Change Risk (Doshorts Ser.)
by Mark Trexler Laura KosloffThis book will help business executives to (1) rethink their perceptions of climate risk (2) evaluate whether their company is effectively positioned, and (3) make informed and prudent business decisions about climate change risk in an environment rife with policy uncertainty.Business risk associated with climate change is commonly assumed to be primarily policy driven. Many companies internalize the current stalemate over global climate policy into a perception that climate risk is no longer a critical issue. Business climate risks, however, include: Operational and Supply Chain (Physical) Risk, Brand Risk, Market-driven Structural Risk, Liability Risk.As national and global policy to materially reduce climate change is delayed, it is business-prudent to assume that the level of climate risk is increasing. Even if policy risk might seem lower today than a few years ago, political will can change quickly. Should physical impacts of climate change manifest in dramatic ways, for example, draconian climate policy is likely to follow quickly. These conditions create a complex and shifting business risk environment, and most companies either overlook or substantially underestimate key climate risks. How many companies, for example, are positioned for material climate change outcomes, whether physical or regulatory? Companies with little climate change exposure may not face much downside risk from taking a wait-and-see approach. For those with greater exposure, being "too late" to respond will mean costs and competitive impacts that could have been avoided. Being "too early," however, can mean being penalized later for actions that reduce a company’s emissions today, or competitive disadvantage from getting too far out in front of competitors.
The Chief Data Officer Management Handbook: Set Up and Run an Organization’s Data Supply Chain
by Martin TrederThere is no denying that the 21st century is data driven, with many digital industries relying on careful collection and analysis of mass volumes of information. A Chief Data Officer (CDO) at a company is the leader of this process, making the position an often daunting one. The Chief Data Officer Management Handbook is here to help.With this book, author Martin Treder advises CDOs on how to be better prepared for their swath of responsibilities, how to develop a more sustainable approach, and how to avoid the typical pitfalls. Based on positive and negative experiences shared by current CDOs, The Chief Data Officer Management Handbook guides you in designing the ideal structure of a data office, implementing it, and getting the right people on board.Important topics such as the data supply chain, data strategy, and data governance are thoughtfully covered by Treder. As a CDO it is important to use your position effectively with your entire team. The Chief Data Officer Management Handbook allows all employees to take ownership in data collaboration. Data is the foundation of present and future tech innovations, and you could be the leader that makes the next big impact.What You Will LearnApply important elements of effective data managementGain a comprehensive overview of all areas of data (which are often managed independently Work with the data supply chain, from data acquisition to its usage, a review of all relevant stakeholders, data strategy, and data governanceWho This Book is ForCDOs, data executives, data advisors, and all professionals looking to understand about how a data office functions in an organization.
The Circle: A Mathematical Exploration beyond the Line
by Alfred S. Posamentier Robert GeretschlägerThe circle has fascinated mathematicians since ancient times. This entertaining book describes in layperson's terms the many intriguing properties of this fundamental shape. If math has intimidated you, this may be the ideal book to help you appreciate the discipline through one of its most important elements.The authors begin with a brief review of the basic properties of the circle and related figures. They then show the many ways in which the circle manifests itself in the field of geometry--leading to some amazing relationships and truly important geometric theorems. In addition, they explore remarkable circle constructions and demonstrate how all constructions in geometry that usually require an unmarked straightedge and a compass can also be done with the compass alone. Among other things, the reader will learn that circles can generate some unusual curves - many even quite artistic. Finally, the role of circles in art and architecture and a discussion of the circle's place on the sphere bring "full circle" this presentation of a key element of geometry.
The Classical Foundations of Population Thought
by Yves CharbitWhereas the history of demography as a social science has been amply explored, that of the construction of the concept of population has been neglected. Specialists systematically ignore a noteworthy paradox: strictly speaking, the great intellectual figures of the past dealt with in this book have not produced demographic theories or doctrines as such, but they have certainly given some thought to population at both levels. First, the central epistemological and methodological orientation of the book is presented. Ideas on population, far from being part of the harmonious advancement of knowledge are the product of their context, that is evidently demographic, but also economic, political and above all intellectual. Then the ideas on population of Plato, Bodin, the French mercantilists, Quesnay and the physiocrats are examined under this light. The last chapter addresses the implicit philosophical, economic and political issues of population thought.
The Classical Theory of Integral Equations
by Stephen M. ZemyanThe Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations. The book provides the background and insight necessary to facilitate a complete understanding of the fundamental results in the field. With a firm foundation for the theory in their grasp, students will be well prepared and motivated for further study. Included in the presentation are: A section entitled Tools of the Trade at the beginning of each chapter, providing necessary background information for comprehension of the results presented in that chapter; Thorough discussions of the analytical methods used to solve many types of integral equations; An introduction to the numerical methods that are commonly used to produce approximate solutions to integral equations; Over 80 illustrative examples that are explained in meticulous detail; Nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts; Guides to Computation to assist the student with particularly complicated algorithmic procedures. This unique textbook offers a comprehensive and balanced treatment of material needed for a general understanding of the theory of integral equations by using only the mathematical background that a typical undergraduate senior should have. The self-contained book will serve as a valuable resource for advanced undergraduate and beginning graduate-level students as well as for independent study. Scientists and engineers who are working in the field will also find this text to be user friendly and informative.
The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups
by John Guaschi Daciberg Lima GoncalvesThis manuscript is devoted to classifying the isomorphism classes of the virtually cyclic subgroups of the braid groups of the 2-sphere. As well as enabling us to understand better the global structure of these groups, it marks an important step in the computation of the K-theory of their group rings. The classification itself is somewhat intricate, due to the rich structure of the finite subgroups of these braid groups, and is achieved by an in-depth analysis of their group-theoretical and topological properties, such as their centralisers, normalisers and cohomological periodicity. Another important aspect of our work is the close relationship of the braid groups with mapping class groups. This manuscript will serve as a reference for the study of braid groups of low-genus surfaces, and isaddressed to graduate students and researchers in low-dimensional, geometric and algebraic topology and in algebra.
The Cloud Computing Book: The Future of Computing Explained
by Douglas ComerThis latest textbook from bestselling author, Douglas E. Comer, is a class-tested book providing a comprehensive introduction to cloud computing. Focusing on concepts and principles, rather than commercial offerings by cloud providers and vendors, The Cloud Computing Book: The Future of Computing Explained gives readers a complete picture of the advantages and growth of cloud computing, cloud infrastructure, virtualization, automation and orchestration, and cloud-native software design.The book explains real and virtual data center facilities, including computation (e.g., servers, hypervisors, Virtual Machines, and containers), networks (e.g., leaf-spine architecture, VLANs, and VxLAN), and storage mechanisms (e.g., SAN, NAS, and object storage). Chapters on automation and orchestration cover the conceptual organization of systems that automate software deployment and scaling. Chapters on cloud-native software cover parallelism, microservices, MapReduce, controller-based designs, and serverless computing. Although it focuses on concepts and principles, the book uses popular technologies in examples, including Docker containers and Kubernetes. Final chapters explain security in a cloud environment and the use of models to help control the complexity involved in designing software for the cloud.The text is suitable for a one-semester course for software engineers who want to understand cloud, and for IT managers moving an organization’s computing to the cloud.