This volume outlines the proceedings of the conference on "Quadratic Forms and Their Applications" held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Special features include the first published proof of the Conway-Schneeberger Fifteen Theorem on integer-valued quadratic forms and the first English-language biography of Ernst Witt, founder of the theory of quadratic forms.
This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II. The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations). The primary readership includes graduate and PhD students and researchers in in the field of dynamical systems and their applications (control theory, economic dynamics, mathematical theory of climate, population dynamics, oscillation theory etc).
This book introduces readers to key ideas and applications of computational algebraic geometry. Beginning with the discovery of Gröbner bases and fueled by the advent of modern computers and the rediscovery of resultants, computational algebraic geometry has grown rapidly in importance. The fact that "crunching equations" is now as easy as "crunching numbers" has had a profound impact in recent years. At the same time, the mathematics used in computational algebraic geometry is unusually elegant and accessible, which makes the subject easy to learn and easy to apply. This book begins with an introduction to Gröbner bases and resultants, then discusses some of the more recent methods for solving systems of polynomial equations. A sampler of possible applications follows, including computer-aided geometric design, complex information systems, integer programming, and algebraic coding theory. The lectures in this book assume no previous acquaintance with the material.
This book addresses dynamics with inequalities comprehensively. The author develops the theory and application of dynamical systems that incorporate some kind of hard inequality constraint, such as mechanical systems with impact; electrical circuits with diodes (as diodes permit current flow in only one direction); and social and economic systems that involve natural or imposed limits (such as traffic flow, which can never be negative, or inventory, which must be stored within a given facility). This book demonstrates that hard limits - eschewed in most dynamical models - are natural models for many dynamic phenomena, and there are ways of creating differential equations with hard constraints that provide accurate models of many physical, biological, and economic systems. The author discusses how finite- and infinite-dimensional problems are treated in a unified way so the theory is applicable to both ordinary differential equations and partial differential equations.
Report describes RAND contributions to Louisiana's Coastal Master Plan for policymakers in other coastal regions. It highlights the value of a solid technical foundation to support decision-making on strategies to protect and restore coastal regions.
An In-Depth, Practical Guide to GPGPU Programming Using Direct3D 11 GPGPU Programming for Games and Science demonstrates how to achieve the following requirements to tackle practical problems in computer science and software engineering: Robustness Accuracy Speed Quality source code that is easily maintained, reusable, and readable The book primarily addresses programming on a graphics processing unit (GPU) while covering some material also relevant to programming on a central processing unit (CPU). It discusses many concepts of general purpose GPU (GPGPU) programming and presents practical examples in game programming and scientific programming. The author first describes numerical issues that arise when computing with floating-point arithmetic, including making trade-offs among robustness, accuracy, and speed. He then shows how single instruction multiple data (SIMD) extensions work on CPUs since GPUs also use SIMD. The core of the book focuses on the GPU from the perspective of Direct3D 11 (D3D11) and the High Level Shading Language (HLSL). This chapter covers drawing 3D objects; vertex, geometry, pixel, and compute shaders; input and output resources for shaders; copying data between CPU and GPU; configuring two or more GPUs to act as one; and IEEE floating-point support on a GPU. The book goes on to explore practical matters of programming a GPU, including code sharing among applications and performing basic tasks on the GPU. Focusing on mathematics, it next discusses vector and matrix algebra, rotations and quaternions, and coordinate systems. The final chapter gives several sample GPGPU applications on relatively advanced topics. Web Resource Available on a supporting website, the author’s fully featured Geometric Tools Engine for computing and graphics saves you from having to write a large amount of infrastructure code necessary for even the simplest of applications involving shader programming. The engine provides robust and accurate source code with SIMD when appropriate and GPU versions of algorithms when possible.
In May 2006, The University of Utah hosted an NSF-funded minicourse on stochastic partial differential equations. The goal of this minicourse was to introduce graduate students and recent Ph.D.s to various modern topics in stochastic PDEs, and to bring together several experts whose research is centered on the interface between Gaussian analysis, stochastic analysis, and stochastic partial differential equations. This monograph contains an up-to-date compilation of many of those lectures. Particular emphasis is paid to showcasing central ideas and displaying some of the many deep connections between the mentioned disciplines, all the time keeping a realistic pace for the student of the subject.
In Powerful Learning, Linda Darling-Hammond and an impressive list of co-authors offer a clear, comprehensive, and engaging exploration of the most effective classroom practices. They review, in practical terms, teaching strategies that generate meaningful K–2 student understanding, and occur both within the classroom walls and beyond. The book includes rich stories, as well as online videos of innovative classrooms and schools, that show how students who are taught well are able to think critically, employ flexible problem-solving, and apply learned skills and knowledge to new situations.
A succinct look at cooperative learning and the research behind it, including practical ways to implement it in the classroom and why schoolwide cooperation matters.
A significant number of Americans view atheists as immoral elitists, aloof and unconcerned with the common good, and they view science and scientists as responsible. Thanks in large part to the prominence and influence of New Atheists such as Richard Dawkins, Sam Harris, Daniel Dennett, and Christopher Hitchens, New Atheism has claimed the pulpit of secularity in Western society. New Atheists have given voice to marginalized nonreligious individuals and underscored the importance of science in society. They have also advanced a derisive view of religion and forcefully argued that science and religion are intrinsically in conflict. Many in the public around the globe think that all scientists are atheists and that all atheist scientists are New Atheists, militantly against religion and religious people. But what do everyday atheist scientists actually think about religion? Drawing on a survey of 1,293 atheist scientists in the U.S. and U.K., and 81 in-depth interviews, this book explains the pathways that led to atheism among scientists, the diverse views of religion they hold, their perspectives on the limits to what science can explain, and their views of meaning and morality. The findings reveal a vast gulf between the rhetoric of New Atheism in the public sphere and the reality of atheism in science. The story of the varieties of atheism in science is consequential for both scientific and religious communities and points to tools for dialogue between these seemingly disparate groups.
This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical object, this book presents this ""classical"" material in a new way, highlighting current approaches and new theorems, and illuminating the connections with a variety of areas in mathematics.
Proceedings of a SLU-GTE Conference, Held July 27-29, 1987, with Support from St. Lawrence University and General Telephone and Electronics Corporation
Proceedings of a SLU-GTE Conference, Held July 27-29, 1987, with Support from St. Lawrence University and General Telephone and Electronics Corporation
Contains an array of both expository and research articles which represents the proceedings of a conference on commutative harmonic analysis, held in July 1987 and sponsored by St Lawrence University and GTE Corporation. This book is suitable for those beginning research in commutative harmonic analysis.
Analytical Fracture Mechanics should prove to be a valuable resource to both the new student and the experienced researcher in fracture mechanics. It is recommended." — Applied Mechanics Review One of the central concerns of engineering is the failure of materials. Addressing this concern, fracture mechanics — an interdisciplinary subject spanning mechanical, civil, and materials engineering, applied mathematics, and physics — predicts the conditions under which such failure will occur due to crack growth. This valuable self-contained text by an expert in the field supplements standard fracture mechanics texts by focusing on analytical methods for determining crack-tip stress and strain fields. Following a comprehensive 120-page introduction — which provides all the background necessary for understanding the remaining chapters — the book is organized around a series of elastoplastic and hydrogen-assisted crack-tip problems and their solutions. The first chapter presents the only proven solution technique for the second order nonlinear partial differential equation governing a mode I elastoplastic crack problem. Other chapters deal with plastic zone transitions, environmental cracking, and small-scale yielding versus exact linear elastic solutions. One of the excellent features of this book is the clarity with which groups of problems are presented and related to each other. Another is the careful attention it gives to the various modes of fracture (I, II, and III) and to showing the circumstances under which information from a solution for one mode may be used to infer information in another mode. For this edition, the author has added a new appendix, "Stress Across an Elastoplastic Boundary of a Mode I Crack: Parabolic to Hyperbolic Plasticity Transition.
Do scientists see conflict between science and faith? Which cultural factors shape the attitudes of scientists toward religion? Can scientists help show us a way to build collaboration between scientific and religious communities, if such collaborations are even possible? To answer these questions and more, the authors of Secularity and Science: What Scientists Around the World Really Think About Religion completed the most comprehensive international study of scientists' attitudes toward religion ever undertaken, surveying more than 20,000 scientists and conducting in-depth interviews with over 600 of them. From this wealth of data, the authors extract the real story of the relationship between science and religion in the lives of scientists around the world. The book makes four key claims: there are more religious scientists then we might think; religion and science overlap in scientific work; scientists - even atheist scientists - see spirituality in science; and finally, the idea that religion and science must conflict is primarily an invention of the West. Throughout, the book couples nationally representative survey data with captivating stories of individual scientists, whose experiences highlight these important themes in the data. Secularity and Science leaves inaccurate assumptions about science and religion behind, offering a new, more nuanced understanding of how science and religion interact and how they can be integrated for the common good.
Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.
Winner of the 2016 De Groot Prize from the International Society for Bayesian AnalysisNow in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied
Teachers can have a profound influence on children’s reading behaviour and attitudes to literature. Whether it’s to broaden children’s knowledge and understanding, or encourage reading for pleasure, reading in the classroom is becoming an increasing priority. This book looks at a wide range of children’s literature from picture books to classics to poetry. A diverse array of books is recommended for teachers to use in a broad variety of contexts to enhance learning across the curriculum, featuring beloved authors such as Michael Morpurgo, Tove Jansson and Kenneth Grahame, as well as introducing some who may be new to teachers. This book: •Recognises the key role of children’s literature within the curriculum and learning development •Explores examples through case studies of classroom practice and highlights children’s literature’s role in Personal, Social, Health and Economic (PSHE) education •Celebrates the range of voices and contexts that literature can represent in the classroom •Includes a ‘For your bookshelf’ section in each chapter which summarises key titles •Dedicates a chapter to the importance of creating children’s literature with and for children The authors place emphasis on creating a literate environment in which children’s literature is a central feature. This is a must-read for teachers at all levels, as well as anyone who volunteers in schools to support readers. “Read on to enrich your practice right across the curriculum and find diverse books to engage and inspire children. Enjoy!” Professor Teresa Cremin, The Open University, UK “How do we make sure children today recognise the value of reading for pleasure when so many other mediums are competing for their attention? The answer lies within this excellent text.” Megan Stephenson, PGCE Primary ITT Lead, Leeds Trinity University, UK “It is an essential book for the primary school – needed now more than ever before.” Adam Bushnell, Author of Modelling Exciting Writing and Descriptosaurus: Story Writing Rosemary Waugh is a retired teacher who has written extensively on children’s literature, spelling, punctuation and grammar. She is an avid collector of children’s literature. She works with David to lead workshops for reading volunteers in schools for the Open University, UK, and the charity Coram Beanstalk. David Waugh is a former deputy headteacher, education adviser and head of department, who is currently a professor at Durham University, School of Education, UK. He has written more than sixty books on primary English as well as six children’s novels, two of which were written with groups of children.
This book profiles eighteen of our funniest elections, from 1828, the first election in which all states had electors, to the election from hell in 2000. The book also includes chapters on Watergate and impeachment, and a gallery of official photographs.
From Brooklyn to Kingsport is an autobiographical memoir. It is the objective history of my life experiences. I have tried to recall events as accurately as possible. I have written about incidents and events that I can recall well—warts and all.
In the Loop: A Political and Economic History of San Antonio, is the culmination of urban historian David Johnson’s extensive research into the development of Texas’s oldest city. Beginning with San Antonio’s formation more than three hundred years ago, Johnson lays out the factors that drove the largely uneven and unplanned distribution of resources and amenities and analyzes the demographics that transformed the city from a frontier settlement into a diverse and complex modern metropolis. Following the shift from military interests to more diverse industries and punctuated by evocative descriptions and historical quotations, this urban biography reveals how city mayors balanced constituents’ push for amenities with the pull of business interests such as tourism and the military. Deep dives into city archives fuel the story and round out portraits of Sam Maverick, Henry B. Gonzales, Lila Cockrell, and other political figures. Johnson reveals the interplay of business interests, economic attractiveness, and political goals that spurred San Antonio’s historic tenacity and continuing growth and highlights individual agendas that influenced its development. He focuses on the crucial link between urban development and booster coalitions, outlining how politicians and business owners everywhere work side by side, although not necessarily together, to shape the future of any metropolitan area, including geographical disparities. Three photo galleries illustrate boosterism’s impact on San Antonio’s public and private space and highlight its tangible results. In the Loop recounts each stage of San Antonio’s economic development with logic and care, building a rich story to contextualize our understanding of the current state of the city and our notions of how an American city can form.
Based on two studies of marital quality in America twenty years apart, Alone Together shows that while the divorce rate has leveled off, spouses are spending less time together. The authors argue that marriage is an adaptable institution, and in accommodating the changes that have occurred in society, it has become a less cohesive, yet less confining arrangement.
With a view to deepening our understanding of sources of hatred and prejudice, this book uses a developmental and evolutionary perspective to explore and explain the process by which our beliefs are conveyed to the youngest members of society. Discussing the psychological obstacles to peaceful relations between groups, the authors focus on the developmental processes by which we can work to diminish ethnocentrism, prejudice, and hatred, which children learn from a very early age. Until now, scholarship and practice in international relations have gravely neglected crucial psychological aspects of these terrible problems and have not yet explored the educational opportunities related to them. Addressing these promising lines of inquiry and innovation, this book fosters a more humane and less violent development in childhood and adolescence. Educators, religious leaders, developmental and social psychologists, will find this a valuable resource, as will a socially concerned segment of the public who are looking for practical ways to work for peace.
This book presents papers given at a Conference on Inverse Scattering on the Line, held in June 1990 at the University of Massachusetts, Amherst. A wide variety of topics in inverse problems were covered: inverse scattering problems on the line; inverse problems in higher dimensions; inverse conductivity problems; and numerical methods. In addition, problems from statistical physics were covered, including monodromy problems, quantum inverse scattering, and the Bethe ansatz. One of the aims of the conference was to bring together researchers in a variety of areas of inverse problems which have seen intensive activity in recent years. scattering
The foundation for the subject of mathematical finance was laid nearly 100 years ago by Bachelier in his fundamental work, Theorie de la speculation. In this work, he provided the first treatment of Brownian motion. Since then, the research of Markowitz, and then of Black, Merton, Scholes, and Samuelson brought remarkable and important strides in the field. A few years later, Harrison and Kreps demonstrated the fundamental role of martingales and stochastic analysis in constructing and understanding models for financial markets. The connection opened the door for a flood of mathematical developments and growth. Concurrently with these mathematical advances, markets have grown, and developments in both academia and industry continue to expand. This lively activity inspired an AMS Short Course at the Joint Mathematics Meetings in San Diego (CA). The present volume includes the written results of that course. Articles are featured by an impressive list of recognized researchers and practitioners. Their contributions present deep results, pose challenging questions, and suggest directions for future research. This collection offers compelling introductory articles on this new, exciting, and rapidly growing field.
The Paris-Princeton Lectures in Financial Mathematics, of which this is the fourth volume, publish cutting-edge research in self-contained, expository articles from outstanding specialists - established or on the rise! The aim is to produce a series of articles that can serve as an introductory reference source for research in the field. The articles are the result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with five articles by: 1. Areski Cousin, Monique Jeanblanc and Jean-Paul Laurent, 2. Stéphane Crépey, 3. Olivier Guéant, Jean-Michel Lasry and Pierre-Louis Lions, 4. David Hobson and 5. Peter Tankov.
Exploring the growing division among academic scientists over a profit motive in research. The commercialization of research is one of the most significant contemporary features of US higher education, yet we know surprisingly little about how scientists perceive and experience commercial rewards. A Fractured Profession is the first book to systematically examine the implications of commercialization for both universities and faculty members from the perspective of academic scientists. Drawing on richly detailed interviews with sixty-one scientists at four universities across the United States, sociologist David R. Johnson explores how an ideology of commercialism produces intraprofessional conflict in academia. The words of scientists themselves reveal competing constructions of status, conflicting norms, and divergent career paths and professional identities. Commercialist scientists embrace a professional ideology that emphasizes the creation of technologies that control societal uncertainties and advancing knowledge toward particular—and financial—ends. Traditionalist scientists, on the other hand, often find themselves embattled and threatened by university and federal emphasis on commercialization. They are less concerned about issues such as conflicts of interest and corruption than they are about unequal rewards, unequal conditions of work, and conflicts of commitment to university roles and basic science. Arguing that the division between commercialists and traditionalists represents a new form of inequality in the academic profession, this book offers an incisive look into the changing conditions of work in an era of academic capitalism. Focusing on how the profit motive is reshaping higher education and redefining what faculty are supposed to do, this book will appeal to scientists and academics, higher education scholars, university administrators and policy makers, and students considering a career in science.
This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction. This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German. Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.
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