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This is the second edition of a graduate level real analysis textbook formerly published by Prentice Hall (Pearson) in 1997. This edition contains both volumes. Volumes one and two can also be purchased separately in smaller, more convenient sizes.
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The theory of integration is one of the twin pillars on which analysis is built. The first version of integration that students see is the Riemann integral. Later, graduate students learn that the Lebesgue integral is ?better? because it removes some restrictions on the integrands and the domains over which we integrate. However, there are still drawbacks to Lebesgue integration, for instance, dealing with the Fundamental Theorem of Calculus, or with ?improper? integrals. This book is an introduction to a relatively new theory of the integral (called the ?generalized Riemann integral? or the ?Henstock-Kurzweil integral?) that corrects the defects in the classical Riemann theory and both simp...
A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra. The author fills a gap in the current literature by providing an introductory and integrated perspective, thereby preparing readers for further study and building a deeper understanding of analysis, topology, set theory, number theory, and algebra. The Elements of Cantor Sets provides coverage of: Basic definitions and background theorems as well as comprehensive mathematical details A biography of...
This book explores the impact of migration, including its causes, upon the key ideas and directions of psychoanalytic theory and practice from the twentieth century until today. Having originated with a conference called "Émigré Analysts," developed through the Sandor Ferenczi Center at the New School for Social Research, this collection encompasses a wide array of often personal insights into the historical effects of exile and migration upon psychoanalysis. Divided into three sections, the book first attends to the political crises that affected the exile of psychoanalysts after the Second World War, tracing their journeys from Eastern Europe to the United States; secondly, the rise of a...
The New Bruckner provides a valuable study of Bruckner's music, focusing on the interaction of biography, textual scholarship, reception history and analysis. Dr Dermot Gault conveys a broad chronological narrative of Bruckner's compositional development, interpolating analytical commentaries on the works and critical accounts of the notoriously complex and editorial issues. Gault corrects longstanding misconceptions about the composer's revision process, and its relationship with the early editions and widely-held critical opinions. Bruckner's constantly evolving engagement with symphonic form is traced by taking each revision in due order, rather than by taking each symphony on its own, and by relating the symphonies to other mature works such as the Te Deum, the three great Masses, and the Quintet, and argues that Bruckner's music became more organic and less schematic as the result of his revisions. The book will be essential reading for those studying Bruckner's compositions, the complex history of their reception, and late Romantic music in general.
In this important book, Antonio Negri develops the key ideas that were to form the basis for the highly influential analyses of new forms of power and social struggle presented in Empire and Multitude. He shows how new technology and the break-up of the traditional factory have created new social subjects whose value is no longer tied to their skill. The spread of communication networks and the globalization of production mean that capitalism has become totalized - but not, Negri stresses, monolithic. On the contrary, the possibilities for subversion have correspondingly increased. Going beyond classical Marxism, he shows how old solidarities must be reformulated and new alliances created. T...
"Drawing from both current historical interpretations and new interdisciplinary perspectives, this collection provides diverse approaches to understanding the multilayered exchanges that went into creating cartographic knowledge in and about the Americas. In the introduction, editor Martin Brückner provides a critical assessment of the concept of cartography and of the historiography of maps. The individual essays, then, range widely over space and place, from the imperial reach of Iberian and British cartography to indigenous conceptualizations, including "dirty," ephemeral maps and star charts, to demonstrate that pre-nineteenth-century American cartography was at once a multiform and multicultural affair. The essays also bring to light original archives and innovative methodologies for investigating spatial relations among peoples in the Western Hemisphere." --from the publisher.
The seven deadly sins of Christianity represent the abysses of character, whereas Shklar's "ordinary vices"--cruelty, hypocrisy, snobbery, betrayal, and misanthropy--are merely treacherous shoals, flawing our characters with mean-spiritedness and inhumanity. Shklar draws from a brilliant array of writers--Moliere and Dickens on hypocrisy, Jane Austen on snobbery, Shakespeare and Montesquieu on misanthropy, Hawthorne and Nietzsche on cruelty, Conrad and Faulkner on betrayal--to reveal the nature and effects of the vices. She examines their destructive effects, the ambiguities of the moral problems they pose to the liberal ethos, and their implications for government and citizens: liberalism is a difficult and challenging doctrine that demands a tolerance of contradiction, complexity, and the risks of freedom.