An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories In recent years, there has evolved a symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories. This book examines important aspects of this story. One main purpose is to prove comparison principles for nonlinear potential theories in Euclidian spaces straightforwardly from duality and monotonicity under the weakest possible notion of ellipticity. The book also shows how to deduce comparison principles for nonlinear differential operators, by marrying these two points of view, under the correspondence principle. The authors explain that comparison principles are fundamental in both contexts, since they imply uniqueness for the Dirichlet problem. When combined with appropriate boundary geometries, yielding suitable barrier functions, they also give existence by Perron’s method. There are many opportunities for cross-fertilization and synergy. In potential theory, one is given a constraint set of 2-jets that determines its subharmonic functions. The constraint set also determines a family of compatible differential operators. Because there are many such operators, potential theory strengthens and simplifies the operator theory. Conversely, the set of operators associated with the constraint can influence the potential theory.
The gender and racial composition of the American workforce is rapidly changing. As more women in particular enter the workforce and as they enter jobs that have traditionally been dominated by men, issues related to sex and gender in work settings have become increasingly important and complex. Research addressing sex and gender in the workplace is conducted in several distinct disciplines, ranging from psychology and sociology to management and economics. Further, books on gender at work often reflect either a more traditional management perspective or a more recent feminist perspective; rarely however, are these two orientations on women and work acknowledged within the same text. Thus, the principle goal of the book is to communicate a variety of social psychological literatures and research on gender issues that affect work behaviors to upper-level undergraduate and graduate students in applied psychology and business.
This fully updated sixth edition of a classic classroom text is essential reading for core courses in archaeology. Archaeology: An Introduction explains how the subject emerged from an amateur pursuit in the eighteenth century into a serious discipline and explores changing trends in interpretation in recent decades. The authors convey the excitement of archaeology while helping readers to evaluate new discoveries by explaining the methods and theories that lie behind them. In addition to drawing upon examples and case studies from many regions of the world and periods of the past, the book incorporates the authors’ own fieldwork, research and teaching. It continues to include key reference and further reading sections to help new readers find their way through the ever-expanding range of archaeological publications and online sources as well as colour illustrations and boxed topic sections to increase comprehension. Serving as an accessible and lucid textbook, and engaging students with contemporary issues, this book is designed to support students studying Archaeology at an introductory level. New to the sixth edition: Inclusion of the latest survey and imaging techniques, such as the use of drones and eXtended reality. Updated material on developments in dating, DNA analysis, isotopes and population movement, including consideration of the ethical considerations of these techniques. Coverage of new developments in archaeological theory, such as the material turn/ontological turn, and work on issues of equality, diversity and inclusion. A whole new chapter covering archaeology in the present, including new sections on heritage and public archaeology, and an updated consideration of archaeology’s relationship with the climate crisis. A revised glossary with over 200 new additions or updates.
Many animals, including humans, acquire valuable skills and knowledge by copying others. Scientists refer to this as social learning. It is one of the most exciting and rapidly developing areas of behavioral research and sits at the interface of many academic disciplines, including biology, experimental psychology, economics, and cognitive neuroscience. Social Learning provides a comprehensive, practical guide to the research methods of this important emerging field. William Hoppitt and Kevin N. Lala define the mechanisms thought to underlie social learning and demonstrate how to distinguish them experimentally in the laboratory. They present techniques for detecting and quantifying social learning in nature, including statistical modeling of the spatial distribution of behavior traits. They also describe the latest theory and empirical findings on social learning strategies, and introduce readers to mathematical methods and models used in the study of cultural evolution. This book is an indispensable tool for researchers and an essential primer for students. Provides a comprehensive, practical guide to social learning research Combines theoretical and empirical approaches Describes techniques for the laboratory and the field Covers social learning mechanisms and strategies, statistical modeling techniques for field data, mathematical modeling of cultural evolution, and more
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.