Bryan Rynne's Books

Linear Functional Analysis

By: Bryan Rynne,M.A. Youngson

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This book provides an introduction to the ideas and methods of linear func tional analysis at a level appropriate to the final year of an undergraduate course at a British university. The prerequisites for reading it are a standard undergraduate knowledge of linear algebra and real analysis (including the the ory of metric spaces). Part of the development of functional analysis can be traced to attempts to find a suitable framework in which to discuss differential and integral equa tions. Often, the appropriate setting turned out to be a vector space of real or complex-valued functions defined on some set. In general, such a vector space is infinite-dimensional. This leads to difficulties in that, although many of the elementary properties of finite-dimensional vector spaces hold in infinite dimensional vector spaces, many others do not. For example, in general infinite dimensional vector spaces there is no framework in which to make sense of an alytic concepts such as convergence and continuity. Nevertheless, on the spaces of most interest to us there is often a norm (which extends the idea of the length of a vector to a somewhat more abstract setting). Since a norm on a vector space gives rise to a metric on the space, it is now possible to do analysis in the space. As real or complex-valued functions are often called functionals, the term functional analysis came to be used for this topic. We now briefly outline the contents of the book.

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Page Count

276

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1447136551

ISBN 13

9781447136552

Migration and the Making of Ireland

By: Bryan Fanning

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Migration and the Making of Ireland

By: Bryan Fanning

Ireland has been shaped by centuries of emigration as millions escaped poverty, famine, religious persecution, and war. But what happens when we reconsider this well-worn history by exploring the ways Ireland has also been shaped by immigration? From slave markets in Viking Dublin to social media use by modern asylum seekers, Migration and the Making of Ireland identifies the political, religious, and cultural factors that have influenced immigration to Ireland over the span of four centuries. A senior scholar of migration and social policy, Bryan Fanning offers a rich understanding of the lived experiences of immigrants. Using firsthand accounts of those who navigate citizenship entitlements, gender rights, and religious and cultural differences in Ireland, Fanning reveals a key yet understudied aspect of Irish history. Engaging and eloquent, Migration and the Making of Ireland provides long overdue consideration to those who made new lives in Ireland even as they made Ireland new.

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Page Count

345

Publisher

Indiana University Press

Published Date

ISBN 10

0253059305

ISBN 13

9780253059307

Global Catholicism

Between Disruption and Encounter

By: Bryan T Froehle,Massimo Faggioli

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Global Catholicism

Between Disruption and Encounter

By: Bryan T Froehle,Massimo Faggioli

Global Catholicism: Between Disruption and Encounter opens the Studies in Global Catholicism series with an examination of a worldwide religious institution that up to now has been more globally extensive than truly globalized. It explores the world historical and theological meaning of de-Europeanization with church data by world region. Readers get an in-depth look at the institutional and theological capacity and limits of the cosmopolitan reality of today’s Catholic Church. Its integrated perspective, grounded in cultural and political history together with an ecclesiology of post-Vatican II Catholicism, offers a new way to approach today’s emerging post-colonial, inter-cultural Global Catholicism as centuries-old trajectories are disrupted and pressing new realities demand original responses.

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Page Count

325

Publisher

BRILL

Published Date

ISBN 10

900470003X

ISBN 13

9789004700031

Boarding and Australia's First Peoples

Understanding How Residential Schooling Shapes Lives

By: Marnie O’Bryan

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Boarding and Australia's First Peoples

Understanding How Residential Schooling Shapes Lives

By: Marnie O’Bryan

This book takes us inside the complex lived experience of being a First Nations student in predominantly non-Indigenous schools in Australia. Built around the first-hand narratives of Aboriginal and Torres Strait Islander alumni from across the nation, scholarly analysis is layered with personal accounts and reflections. The result is a wide ranging and longitudinal exploration of the enduring impact of years spent boarding which challenges narrow and exclusively empirical measures currently used to define ‘success’ in education. Used as instruments of repression and assimilation, boarding, or residential, schools have played a long and contentious role throughout the settler-colonial world. In Canada and North America, the full scale of human tragedy associated with residential schools is still being exposed. By contrast, in contemporary Australia, boarding schools are characterised as beacons of opportunity and hope; places of empowerment and, in the best, of cultural restitution. In this work, young people interviewed over a span of seven years reflect, in real time, on the intended and unintended consequences boarding has had in their own lives. They relate expected and dramatically unexpected outcomes. They speak to the long-term benefits of education, and to the intergenerational reach of education policy. This book assists practitioners and policy makers to critically review the structures, policies, and cultural assumptions embedded in the institutions in which they work, to the benefit of First Nations students and their families. It encourages new and collaborative approaches Indigenous education programs.

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Page Count

353

Publisher

Springer Nature

Published Date

ISBN 10

9811660093

ISBN 13

9789811660092

Linear Functional Analysis

By: Bryan P. Rynne,Martin A. Youngson

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Linear Functional Analysis

By: Bryan P. Rynne,Martin A. Youngson

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. The initial chapters develop the theory of infinite-dimensional normed spaces, in particular Hilbert spaces, after which the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas of mathematics; the final chapters discuss the particularly important areas of integral and differential equations. Further highlights of the second edition include: a new chapter on the Hahn-Banach theorem and its applications to the theory of duality. This chapter also introduces the basic properties of projection operators on Banach spaces, and weak convergence of sequences in Banach spaces - topics that have applications to both linear and nonlinear functional analysis; extended coverage of the uniform boundedness theorem; plenty of exercises, with solutions provided at the back of the book.

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Page Count

288

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1852332573

ISBN 13

9781852332570

Book's by Bryan Rynne

Linear Functional Analysis

Linear Functional Analysis

Migration and the Making of Ireland

Migration and the Making of Ireland

Global Catholicism

Global Catholicism

Boarding and Australia's First Peoples

Boarding and Australia's First Peoples

Linear Functional Analysis

Linear Functional Analysis

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