Cubic hypersurfaces are described by almost the simplest possible polynomial equations, yet their behaviour is rich enough to demonstrate many of the central challenges in algebraic geometry. With exercises and detailed references to the wider literature, this thorough text introduces cubic hypersurfaces and all the techniques needed to study them. The book starts by laying the foundations for the study of cubic hypersurfaces and of many other algebraic varieties, covering cohomology and Hodge theory of hypersurfaces, moduli spaces of those and Fano varieties of linear subspaces contained in hypersurfaces. The next three chapters examine the general machinery applied to cubic hypersurfaces of dimension two, three, and four. Finally, the author looks at cubic hypersurfaces from a categorical point of view and describes motivic features. Based on the author's lecture courses, this is an ideal text for graduate students as well as an invaluable reference for researchers in algebraic geometry.
Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. "Fourier–Mukai and Nahm Transforms in Geometry and Mathematical Physics" examines the algebro-geometric approach (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features: Basic constructions and definitions are presented in preliminary background chapters - Presentation explores applications and suggests several open questions - Extensive bibliography and index. This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field.
Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and
The comprehensive "bible" for financial experts providing litigation support The Litigation Services Handbook is the definitive guide for financial experts engaged in litigation services. Attorneys require financial experts now more than ever, and this book provides the guidance you need to provide a high level of service as witness and consultant. Enhance your litigation skills as you delve into the fine points of trial preparation, deposition, and testimony; project authority under examination, and hold up to tough questions under cross-examination. Fraud investigations are a major component of litigation support services, and this book delves deep into Sarbanes-Oxley compliance and other relevant topics to give you a foundational understanding of how these cases are prosecuted, and your role as the financial services expert. This updated sixth edition includes new coverage of technology's role in the financial expert's practice, and the focus on investigations provides practical insight from leading experts in the field. From the process itself to proving damages, this indispensable reference covers all aspects of litigation services. Providing litigation support requires more than just your financial expertise; you also need a working knowledge of relevant case law, and a deep understanding of both the litigation process and the finer points of courtroom appearances. This book provides the insight and perspective you need to provide superior service to attorneys and their clients. Understand your role in trial preparation and testimony presentation Provide authoritative responses to direct and cross examination Examine and analyze Sarbanes-Oxley rulings Lend financial expertise to fraud investigations The growing demand for financial expert litigation services has created a niche market for CPAs, creating a lucrative opportunity for qualified accountants who also possess the specialized knowledge the role requires. The Litigation Services Handbook is THE essential guide for anyone involved in financial litigation.
The contents in this work are taken from both the University of Iowa's Conference on Factorization in Integral Domains, and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa City. The text gathers current work on factorization in integral domains and monoids, and the theory of divisibility, emphasizing possible different lengths of factorization into irreducible elements.
Although not as publicly well-known as the Nobel Prizes, the Fields Medal shares the same intellectual standing and is the equivalent award in the field of mathematics. This volume presents a selected list of 22 Fields Medallists and their contributions to give a highly interesting and varied bird's eye view of mathematics over the past 60 years. The contributions relate directly to the work for which the Medals were awarded or to the medallists' more current interests. In most cases, they are preceded by the introductory speech given by another leading mathematician during the prize ceremony, a photograph and up-to-date biographical notice.
This work is based on a course given at the Institut de Mathematiques de Jussieu, on the derived category of coherent sheaves on a smooth projective variety. It is aimed at students with a basic knowledge of algebraic geometry and contains full proofs and exercises that aid the reader.
This volume provides an elementary yet comprehensive introduction to representations of partially ordered sets and bimodule matrix problems, and their use in representation theory of algebras. It includes a discussion of representation types of algebras and partially ordered sets. Various characterizations of representation-finite and representation-tame partially ordered sets are offered and a description of their indecomposable representations is given. Auslander-Reiten theory is demonstrated together with a computer accessible algorithm for determining in decomposable representations and the Auslander-Reiten quiver of any representation-finite partially ordered set.
Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.
In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves).
This fully revised and updated second edition provides a complete introduction to aging and mental health for psychology students taking courses in aging as well as for academics and practitioners working in the field of gerontology. Offers a comprehensive review of models of mental health and mental illness, along with their implications for treatment of older adults Provides a pragmatic analysis of assessment and treatment approaches that both students and practitioners will find useful Uses case studies to link theory and practice Fully updated to include discussion of the development and implementation of evidence-based treatment protocols in the field of mental health; the increasing prevalence of cognitive impairment and an appreciation of its implications for a variety of functional behaviors; and a changing understanding of long-term care away from a focus on institutional care and toward a broader spectrum of services
Winner of the 2012 National Jewish Book Award, presented by the National Jewish Book Council New York Jews, so visible and integral to the culture, economy and politics of America’s greatest city, has eluded the grasp of historians for decades. Surprisingly, no comprehensive history of New York Jews has ever been written. City of Promises: A History of the Jews of New York, a three volume set of original research, pioneers a path-breaking interpretation of a Jewish urban community at once the largest in Jewish history and most important in the modern world. Volume I, Haven of Liberty, by historian Howard B. Rock, chronicles the arrival of the first Jews to New York (then New Amsterdam) in 1654 and highlights their political and economic challenges. Overcoming significant barriers, colonial and republican Jews in New York laid the foundations for the development of a thriving community. Volume II, Emerging Metropolis, written by Annie Polland and Daniel Soyer, describes New York’s transformation into a Jewish city. Focusing on the urban Jewish built environment—its tenements and banks, synagogues and shops, department stores and settlement houses—it conveys the extraordinary complexity of Jewish immigrant society. Volume III, Jews in Gotham, by historian Jeffrey S. Gurock, highlights neighborhood life as the city’s distinctive feature. New York retained its preeminence as the capital of American Jews because of deep roots in local worlds that supported vigorous political, religious, and economic diversity. Each volume includes a “visual essay” by art historian Diana Linden interpreting aspects of life for New York’s Jews from their arrival until today. These illustrated sections, many in color, illuminate Jewish material culture and feature reproductions of early colonial portraits, art, architecture, as well as everyday culture and community. Overseen by noted scholar Deborah Dash Moore, City of Promises offers the largest Jewish city in the world, in the United States, and in Jewish history its first comprehensive account.
This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results. From the reviews: "An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS
This book provides an authoritative overview of the global development of surgical paediatrics. Biographical accounts of key people who developed this relatively new specialty, many of whom are now household names, are presented. The compendium also acknowledges the enormous contribution of imaging (ultrasound/MRI and PET scans), minimal invasive surgery, and fetal surgery, as well as the role of related journals and associations, in the progress of surgical paediatrics.Many of the contributors have been instrumental to the development of surgical paediatrics in their respective countries, and have considerable worldwide influence on the management of children requiring surgical care. Through their valuable insight and first-hand experience, this book not only shines a light on the past achievements of previous generations of paediatric surgeons, but also serves as a model to encourage future generations to do likewise.
Financial meltdown, a deep recession, and political polarization—combined with strong growth outside the United States—have led to a global bubble of pessimism surrounding America’s economic prospects. Bloated with debt, and outpaced by China and other emerging markets, the United States has been left for dead as an economic force. But in this time of grim predictions, Daniel Gross, Yahoo! financial columnist and author of Dumb Money, offers a refreshingly optimistic take on our nation’s economic prospects, examining the positive trends that point to a better, stronger future. Widely respected for his Newsweek and Slate coverage of the crash and the recovery, Daniel Gross shows that much of the talk about decline is misplaced. In the wake of the crash, rather than accept the inevitability of a Japan-style lost decade, America’s businesses and institutions tapped into the very strengths that built the nation’s economy into a global powerhouse in the first place: speed, ingenuity, adaptability, pragmatism, entrepreneurship, and, most significant, an ability to engage with the world. As the United States wallowed in self-pity, the world continued to see promise in what America has to offer—buying exports, investing in the United States, and adopting American companies and business models as their own. Global growth, it turns out, is not a zero-sum game. Better, Stronger, Faster is an account of the remarkable reconstruction and reorientation that started in March 2009, a period that Gross compares to March 1933—as both marked the start of unexpected recoveries. As the U.S. public sector undertook aggressive fiscal and monetary actions, the private sector sprang into action. Companies large and small restructured, tapped into long-dormant internal resources, and invested for growth, at home and abroad. Between 2009 and 2011, as Europe struggled with a cascade of crises, the U.S. got back on its feet—and began to run. Through stories of innovative solutions devised by policy makers, businesses, investors, and consumers, Gross explains how America has the potential to emerge from this period, not as the unrivaled ruler of the global economy but as a healthier leader and an enabler of sustainable growth.
This work aims to prove a desingularization theorem for analytic families of two-dimensional vector fields, under the hypothesis that all its singularities have a non-vanishing first jet. Application to problems of singular perturbations and finite cyclicity are discussed in the last chapter.
I'M TOO STRESSED TO STOP. I'LL GAIN WEIGHT IF I QUIT. I'VE TRIED AND FAILED TOO MANY TIMES TO COUNT. Why are you still smoking, even though you want to quit? Based on twenty years of research and hands-on work with countless smokers in his clinics at Columbia University and New York Presbyterian Hospital, Dr. Daniel F. Seidman understands that people smoke -- and quit -- for different reasons and what works for one smoker might not work for another. • Are you a Situational Smoker? Monitoring your reactions in different situations is a step toward permanently losing interest in cigarettes. • Are you a Worried-about-Weight Smoker? Properly using treatments like Nicotine Replacement Therapy (NRT) can help you quit and get healthy in all aspects of your life. • Are you an Emotion-Triggered Smoker? Scheduling your smoking breaks and sticking to a rigid "smoking schedule" helps break the link between stressful situations and craving cigarettes. In a comprehensive, 30-day program, Dr. Seidman explains how to retrain your brain, take advantage of all the tools at your disposal, and end the month smoke-free and feeling stronger than ever!
Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject; it assumes only the standard background of undergraduate algebra. The book starts with easily-formulated problems with non-trivial solutions and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.
A glittering cultural tour of Europe's major capitals during a period of intense musical change. This volume continues the study of the eighteenth century begun in Haydn, Mozart, and the Viennese School 1740–1780 (1995) by focusing on the capital cities other than Vienna that were most important in the creation and diffusion of new music. It tells of events in Naples, where Vinci and Pergolesi went beyond their pre-1720 models to cultivate opera in a simpler, more direct manner, soon after christened the galant style. No less central was Venice, where Vivaldi perfected the concerto, on which were patterned the early symphonies and the newer kind of sonata. Dresden profited first from all these achievements and became, under Hasse's direction, the foremost center of Italian opera in Germany. Mannheim with its great orchestra did much to shape the modern symphony. A few years later, Paris became paramount, especially for its Opéra-Comique; during the 1770s the Opéra provided Gluck with a stage on which to cap his long international career. The book concludes with a description of Christian Bach in London, Paisiello in Saint Petersburg, and Boccherini in Madrid. This long-awaited book offers a view of eighteenth-century music that is broad and innovative while remaining sensitive to the values of those times and places. One comes away from it with an understanding of the European context behind the triumphs of Haydn and Mozart. Lavishly illustrated with music examples and reproductions, both in black-and-white and color, this master study will be of inestimable importance to scholars, cultural historians, performers, and all music lovers.
Comprehensive in scope and thoroughly up to date, Wintrobe’s Clinical Hematology, 15th Edition, combines the biology and pathophysiology of hematology as well as the diagnosis and treatment of commonly encountered hematological disorders. Editor-in-chief Dr. Robert T. Means, Jr., along with a team of expert section editors and contributing authors, provide authoritative, in-depth information on the biology and pathophysiology of lymphomas, leukemias, platelet destruction, and other hematological disorders as well as the procedures for diagnosing and treating them. Packed with more than 1,500 tables and figures throughout, this trusted text is an indispensable reference for hematologists, oncologists, residents, nurse practitioners, and pathologists.
A current account of quasar astronomy that not only summarizes existing results from various techniques but refers to the potentialities of new instruments. All aspects of quasar spectroscopy are discussed and techniques for analyzing quasar data are summarized.
Acclaimed for its unsurpassed readability and manageable scope, Ashcraft’s Pediatric Surgery presents authoritative, practical guidance on treating the entire range of general surgical and urological problems in infants, children, and adolescents. State-of-the-art, expert coverage equips you to implement all the latest approaches and achieve optimal outcomes for all of your patients. Consult this title on your favorite e-reader, conduct rapid searches, and adjust font sizes for optimal readability. Make the most effective use of today’s best open and minimally invasive techniques, including single-site umbilical laparoscopic surgery, with guidance from internationally recognized experts in the field. Focus on evidence-based treatments and outcomes to apply today’s best practices. Stay current with timely topics thanks to brand-new chapters on Choledochal Cyst and Gallbladder Disease, Tissue Engineering, and Ethics in Pediatric Surgery, plus comprehensive updates throughout. Hone and expand your surgical skills by watching videos of minimally invasive procedures for recto urethral fistula, biliary atresia, laparoscopic splenectomy, uterine horn, and more. Grasp the visual nuances of surgery from over 1,000 images depicting today’s best surgical practices.
The classification of the finite simple groups is one of the major feats of contemporary mathematical research, but its proof has never been completely extricated from the journal literature in which it first appeared. This book serves as an introduction to a series devoted to organizing and simplifying the proof. The purpose of the series is to present as direct and coherent a proof as is possible with existing techniques. This first volume, which sets up the structure for the entire series, begins with largely informal discussions of the relationship between the Classification Theorem and the general structure of finite groups, as well as the general strategy to be followed in the series and a comparison with the original proof. Also listed are background results from the literature that will be used in subsequent volumes. Next, the authors formally present the structure of the proof and the plan for the series of volumes in the form of two grids, giving the main case division of the proof as well as the principal milestones in the analysis of each case. Thumbnail sketches are given of the ten or so principal methods underlying the proof. Much of the book is written in an expository style accessible to nonspecialists.
Insider Information at Your Fingertips Determining the worth of intellectual property (IP) is a complicated task. An IP litigator needs to conclude the monetary damage occurring as a result of harm done to an inventor's or a company's reputation as well as the economic damage caused by compromise of an idea or invention due to its unauthorized usage. Edited by litigation expert Daniel Slottje, Economic Damages in Intellectual Property: A Hands-On Guide to Litigation sheds light on how to quantify damages in IP litigation matters with revealing contributions from IP professionals, attorneys, economics professors, certified public accountants and other damages professionals. This essential resource is thoroughly researched with timely insight on quantification of damages; evaluation of damage claims in trade secrets; patent, copyright, and trademark cases; economic damages; and much more. With IP litigation becoming more and more prevalent today, the demand increases for IP professionals and attorneys to understand how economists, accountants, and financial analysts quantify damages in IP matters. Economic Damages in Intellectual Property: A Hands-On Guide to Litigation demystifies this process and provides you with an "at-your-fingertips" resource brimming with current, relevant information in the field of intellectual property litigation.
Now more streamlined and focused than ever before, the 6th edition of CT and MRI of the Whole Body is a definitive reference that provides you with an enhanced understanding of advances in CT and MR imaging, delivered by a new team of international associate editors. Perfect for radiologists who need a comprehensive reference while working on difficult cases, it presents a complete yet concise overview of imaging applications, findings, and interpretation in every anatomic area. The new edition of this classic reference — released in its 40th year in print — is a must-have resource, now brought fully up to date for today's radiology practice. - Includes both MR and CT imaging applications, allowing you to view correlated images for all areas of the body. - Coverage of interventional procedures helps you apply image-guided techniques. - Includes clinical manifestations of each disease with cancer staging integrated throughout. - Expert Consult eBook version included with purchase. This enhanced eBook experience allows you to search all of the text, figures, images, and references from the book on a variety of devices. - Over 5,200 high quality CT, MR, and hybrid technology images in one definitive reference. - For the radiologist who needs information on the latest cutting-edge techniques in rapidly changing imaging technologies, such as CT, MRI, and PET/CT, and for the resident who needs a comprehensive resource that gives a broad overview of CT and MRI capabilities. - Brand-new team of new international associate editors provides a unique global perspective on the use of CT and MRI across the world. - Completely revised in a new, more succinct presentation without redundancies for faster access to critical content. - Vastly expanded section on new MRI and CT technology keeps you current with continuously evolving innovations.
This work features the interplay of two main branches of mathematics: topology and real analysis. The material of the book is largely contained in the research publications of the authors and their students from the past 50 years. Parts of analysis are touched upon in a unique way, for example, Lebesgue measurability, Baire classes of functions, differentiability, C ]n and C ]*w functions, the Blumberg theorem, bounded variation in the sense of Cesari, and various theorems on Fourier series and generalized bounded variation of a function.
Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR
This book completes a trilogy (Numbers 5, 7, and 8) of the series The Classification of the Finite Simple Groups treating the generic case of the classification of the finite simple groups. In conjunction with Numbers 4 and 6, it allows us to reach a major milestone in our series—the completion of the proof of the following theorem: Theorem O: Let G be a finite simple group of odd type, all of whose proper simple sections are known simple groups. Then either G is an alternating group or G is a finite group of Lie type defined over a field of odd order or G is one of six sporadic simple groups. Put another way, Theorem O asserts that any minimal counterexample to the classification of the finite simple groups must be of even type. The work of Aschbacher and Smith shows that a minimal counterexample is not of quasithin even type, while this volume shows that a minimal counterexample cannot be of generic even type, modulo the treatment of certain intermediate configurations of even type which will be ruled out in the next volume of our series.
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