Brian Street

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields.

Multi-parameter Singular Integrals. (AM-189), Volume I

Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs. Elliptic PDEs hold a special place: sharp results are known for general linear and even fully nonlinear elliptic PDEs. Over the past half-century, important results for elliptic PDEs have been generalized to maximally subelliptic PDEs. This text presents this theory and generalizes the sharp, interior regularity theory for general linear and fully nonlinear elliptic PDEs to the maximally subelliptic setting.

Maximal Subellipticity

Carol Fox

Viv Ellis

Why should young people study a subject called English? This question lies at the heart of this fascinating monograph, which brings together the diverse perspectives of many leading thinkers about English and literacy education. This meticulously researched and well-written collection takes as its starting point the importance of the history of the subject in the formation of its constitution and its boundaries. First and foremost, it proposes that questions of aims and values have informed these choices. Equally, it suggests that returning to these educational questions helps us to understand curriculum and pedagogy in complex ways that a simple focus on content and methods neglects. Curriculum and pedagogy bring learners, teachers, institutions and the wider society into the debate.

Towards a New and Constructive Stage

Rethinking English in Schools

Elizabeth Hallam

Cultural Encounters examines how 'otherness' has been constituted, communicated and transformed in cultural representation. Covering a diverse range of media including film, TV, advertisements, video, photographs, painting, novels, poetry, newspapers and material objects, the contributors, who include Ludmilla Jordanova and Ivan Karp, explore the cultural politics of Europe's encounters with Brazil, India, Israel, Australia and Africa, examining the ways in which visual and textual art forms operate in their treatment of cultural difference.

Representing Otherness

Cultural Encounters

Andreas Seeger

Charles K. Smart

Multilinear Singular Integral Forms of Christ-Journé Type

Carys Jones

Joan Turner

This volume aims to raise awareness of the underlying complexities concerning student writing in the universities. The authors address a series of theoretical as well as practical questions regarding the literacies required of students in Higher Education, from the perspective of both students themselves and of their tutors. The research described here intends to move beyond the narrow confines of current policy debates and the quick fix solutions of writing manuals, to explore the epistemological, cultural, historical and theoretical bases of such writing. Issues addressed include the nature of competing epistemologies that underlie the writing process and the varying degrees of explicitness about what academic writing entails; ways of challenging the institutional marginalisation of academic writing as teaching, learning, and research practice; what counts as knowledge and how far it is mediated by the rhetorical conventions of one culture; to what extent the challenging of such rhetorical conventions is itself a crucial epistemological issue. Writing, in this volume, then, is addressed in terms of academic literacy practices involving relations of power, issues of identity and theories of knowledge.

Brian Street

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