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.
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.
This book reviews the political development of Hong Kong before and after 1997, in particular the evolution of state-society relations in the last two decades, to analyze the slow development of democracy and governance in Hong Kong after 1997. This book is a most comprehensive analysis of the multi-faceted changes in Hong Kong in the last 20 years. The scope of changes analyzed included state functions and institutions, political changes such as party development and development of the Legislative Council, and social changes such as social movements, civil liberties, etc. It helps the reader understand the crisis of governance of Hong Kong after 1997, and the difficulty of democratic development in Hong Kong over the years. The book covers: changing state institutions in Hong Kong in the last few decades; party development in Hong Kong; the changing role and function of the legislature in Hong Kong; the evolution of social movement and movement organizational forms; media freedom, civil liberties, and the role of civil society; and theoretical discussions concerning governance problems and state-society relations in Hong Kong. Special emphasis is placed on how these changes brought about a new state-society relation, which in turn brought governance difficulties after 1997.
In Nova Scotia, the focus of study about Scottish settlers, including the Grants, has been on the eastern counties of the province, and on Cape Breton Island. In the United States, when Grants are mentioned, a significant concern seems to be to find a genealogical or DNA link to Ulysses Grant. No one has seriously examined and written about the Grant families of southwestern Nova Scotia. That leaves a space for me to act in, and to develop a narrative history of a family founded in the soil, strengthened by the forest, and challenged by the sea environments that comprise the fundamental essence of Nova Scotia. And so, my passion has been to tell the story of my family and their relatives in southwestern Nova Scotia and to follow the paths of many of them to New England (especially to Massachusetts). This study will fulfill an implicit task left to me by my Aunt Ruth Dexter. That is the essence of why I have spent so much of my retirement on this task. But there is more to come as I follow suggestive clues left by my ancestors, or seek to overcome “brick walls” that stump every genealogist from time to time. When I began this project, my aim was simply: “To collate and present a family history of the line descending from John Grant and Mary Sabean to myself.” If I had stayed within that framework this book would have been much shorter and less interesting. As it turns out, there are many fascinating aspects to our story. Not only will you read about the hard-working and courageous children of John and Mary, but you will follow them and their offspring as they find love and marriage, sometimes with close or distant cousins. • You will ride or sail with them as they migrate within Nova Scotia and outward to New England. • You will wonder at their expressions of faith and sense their hidden, internal conflict as they make religious choices based on factors we can only imagine (spirituality, simplicity, availability, or energetic missionaries), reflected in obituaries, burial sites, or their answers to census questions. • You will share their sorrow at the deaths of loved ones through accident, disease, suicide, loss at sea or in the service of their country in war, particularly in World War I. • You will learn of their varied occupations, trades and professions, from farming, fishing and forestry to shoemaking, carpentry and sailing, nursing and teaching. • You will join them as they strive to become master mariners, volunteer in their churches, train young women with the YWCA in China, or succor the sick and wounded with the Red Cross in Siberia – follow them south to Boston and the Caribbean, east to Europe and across the Pacific to Asia. Only then you will come to understand why, at its core, my passion has been to be the voice of my direct ancestors and extended family within a defined framework of time and place, to record their activities where sources allow, in essence, to be the story they could not write.
Transport and transformation processes are key for determining how humans and other organisms are exposed to chemicals. These processes are largely controlled by the chemicals’ physical-chemical properties. This new edition of the Handbook of Physical-Chemical Properties and Environmental Fate for Organic Chemicals is a comprehensive series in four volumes that serves as a reference source for environmentally relevant physical-chemical property data of numerous groups of chemical substances. The handbook contains physical-chemical property data from peer-reviewed journals and other valuable sources on over 1200 chemicals of environmental concern. The handbook contains new data on the temperature dependence of selected physical-chemical properties, which allows scientists and engineers to perform better chemical assessments for climatic conditions outside the 20–25-degree range for which property values are generally reported. This second edition of the Handbook of Physical-Chemical Properties and Environmental Fate for Organic Chemicals is an essential reference for university libraries, regulatory agencies, consultants, and industry professionals, particularly those concerned with chemical synthesis, emissions, fate, persistence, long-range transport, bioaccumulation, exposure, and biological effects of chemicals in the environment. This resource is also available on CD-ROM
Histochemistry deals with the activities of chemical components in cells, and immunohistochemistry addresses the function of cell types in tissue or organs, such as those leading to acceptance or rejection of grafts or organs. This book is a methods volume focusing on antigen retrieval, particularly methods used in disease-related antigens. Because the book is a methods volume and a lab manual, it will have an audience of pathologists, biochemists, and lab technicians.
There is a dearth of good books on accounting in China, East Asia and Southeast Asia. This book makes a valuable contribution towards filling the gap. In particular, the authors focus on the extent of the harmonisation of domestic standards with international accounting standards and on the development of the accounting profession. The final chapter in Part III deals with the problems and prospects for accounting harmonisation in the region.
The fifth volume, Pesticides, completes this unique series of information-packed handbooks on environmental fate. The handbook contains fate calculations for a variety of pesticides of environmental interest today. No other volume offers current data in this convenient format.
Confessions of a Former Saint by Dominic M. Verchiani, MA Phd. is a truly riveting biography of a boy, who knew at a very early age that his 'calling' was to be a priest--every Italian mother's dream. The tapestry he has woven depicts his caring nature and belief in God, all while being terribly uncomfortable with some of the dogma, hypocrisy, and events he witnessed and experienced within the Catholic Church. Wanting to set things right in his life, he met someone who turned this world upside down. From this point, he knew where his heart and soul desired to be, but now he struggled to find his way to personal happiness as he continued his lifelong need to serve others.
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