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This text was produced for the second part of a two-part sequence on advanced calculus, whose aim is to provide a firm logical foundation for analysis. The first part treats analysis in one variable, and the text at hand treats analysis in several variables. After a review of topics from one-variable analysis and linear algebra, the text treats in succession multivariable differential calculus, including systems of differential equations, and multivariable integral calculus. It builds on this to develop calculus on surfaces in Euclidean space and also on manifolds. It introduces differential forms and establishes a general Stokes formula. It describes various applications of Stokes formula, from harmonic functions to degree theory. The text then studies the differential geometry of surfaces, including geodesics and curvature, and makes contact with degree theory, via the Gauss–Bonnet theorem. The text also takes up Fourier analysis, and bridges this with results on surfaces, via Fourier analysis on spheres and on compact matrix groups.
This book explores how a site can turn into a mummification of the past, displaying long-gone splendour, or a living, breathing treasure offering dynamic cultural and educational opportunities.
It is estimated that as many as 34 million people grew up in alcoholic homes. But what about the rest of us? What about families that had no alcoholism, but did have perfectionism, workaholism, compulsive overeating, intimacy problems, depression, problems in expressing feelings, plus all the other personality traits that can produce a family system much like an alcoholic one? Countless millions of us struggle with these kinds of dysfunctions every day, and until very recently we struggled alone. Pulling together both theory and clinical practice, John and Linda Friel provide a readable explanation of what happened to us and how we can rectify it.
"This volume sets out to investigate critically existing lines of thought about sexuality in Africa, while also creating space for alternative approaches"--P. [4] of cover.
A humorous, exciting tale of an ordinary girl who makes an extraordinary scientific discovery—a blind fish that walksWhen seventh-grader Alexis catches an unusual fish that looks like a living fossil, she sets off a frenzied scientific hunt for more of its kind. Alexis and her friend Darshan join the hunt, snorkeling, sounding the depths of Glacial Lake, even observing from a helicopter and exploring a cave. All the while, they fight to keep the selfish Dr. Mertz from claiming the discovery all for himself. When Alexis follows one final hunch, she risks her life and almost loses her friend. Walking Fish is a scientific adventure that provides a perfect combination of literacy and science.
Engaged Journalism explores the changing relationship between news producers and audiences and the methods journalists can use to secure the attention of news consumers. Based on Jake Batsell's extensive experience and interaction with more than twenty innovative newsrooms, this book shows that, even as news organizations are losing their agenda-setting power, journalists can still thrive by connecting with audiences through online technology and personal interaction. Batsell conducts interviews with and observes more than two dozen traditional and startup newsrooms across the United States and the United Kingdom. Traveling to Seattle, London, New York City, and Kalamazoo, Michigan, among ot...
This volume provides a critical approach to using focus groups, examining how focus groups have been utilized to research a diverse set of research questions covering a broad spectrum of substantive fields. The collection acknowledges the tensions between different research traditions, disciplinary emphases, funding climates, cultural, political, and ethical contexts, and the ever-changing policy backdrop. Contributors to this book encourage researchers to question and surmount disciplinary and terminological labels and disputes in order to capitalize on the full potential of focus groups, to illuminate the complex collaborative processes involved in forming, debating, contesting, and revising opinions; making decisions; and forging identities. The four sections that comprise this collection address, respectively, using focus groups in novel contexts; employing focus groups in mixed methods research designs; innovations in generating focus group data; and new theoretical developments. A New Era in Focus Group Research will be of interest to students and scholars across disciplines as well as focus group practitioners outside of academia.
Recurrent clamours by students and academics for universities in Africa and elsewhere, to imbibe and exude a spirit of inclusion are a continual reminder that universities can and need to be much more convivial. Processes of knowledge production that champion delusions of superiority and zero-sum games of absolute winners and losers are elitist and un-convivial. Academic disciplines tend to encourage introversion and emphasise exclusionary fundamentalisms of heartlands rather than highlight inclusionary overtures of borderlands. Frequenting crossroads and engaging in frontier conversations are frowned upon, if not prohibited. The scarcity of conviviality in universities, within and between d...