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Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.
In this new addition to the Oxford Textual Perspectives series, Stephen Orgel considers the idea of the book not simply as a container for written work, but as an essential element in its creation.
This book explores the methodologies and assumptions governing answers to the question 'what did Shakespeare actually write?'
This companion volume to The New Oxford Shakespeare: The Complete Works concentrates on the issues of canon and chronology. This major work in attribution studies presents in full the evidence behind the choices made in The Complete Works about which works Shakespeare wrote, in whole or part.
For those who doubt that the actor from Stratford, William Shakspere, wrote the works of Shakespeare, the brilliant poet and playwright Christopher Marlowe has always been the professional candidate. In this book, which argues that a chronological approach is essential, Donna N. Murphy employs a variety of tools to document a Marlowe-Shakespeare continuum (with her proposed dates of first-version authorship) in The Taming of the Shrew, c. 1590; II and III Henry VI, c. 1590; Edward III c. 1590–1; Titus Andronicus c. 1591–3; Thomas of Woodstock c. 1593; Romeo and Juliet c. 1595–6; and I Henry IV, c. 1596–7. Her research firmly supports the theory that Christopher Marlowe, living on after he supposedly died, was the main hand behind the works of Shakespeare.
Did Shakespeare write Shakespeare? This authoritative collection of essays brings fresh perspectives to bear on an intriguing cultural phenomenon.
Surveying the development and varieties of blank verse in the English playhouses, this book is a natural history of iambic pentameter in English. The main aim of the book is to analyze the evolution of Renaissance dramatic poetry. Shakespeare is the central figure of the research, but his predecessors, contemporaries and followers are also important: Shakespeare, the author argues, can be fully understood and appreciated only against the background of the whole period. Tarlinskaja surveys English plays by Elizabethan, Jacobean and Caroline playwrights, from Norton and Sackville’s Gorboduc to Sirley’s The Cardinal. Her analysis takes in such topics as what poets treated as a syllable in t...
This innovative volume testifies to the current revived interest in Shakespeare's language and style and opens up new and captivating vistas of investigation. Transcending old boundaries between literary and linguistic studies, this engaging collaborative book comes up with an original array of theoretical approaches and new findings. The chapters in the collection capture a rich diversity of points of view and cover such fields as lexicography, versification, dramaturgy, rhetorical analyses, cognitive and computational corpus-based stylistic studies, offering a holistic vision of Shakespeare's uses of language. The perspective is deliberately broad, confronting ideas and visions at the intersection of various techniques of textual investigation. Such novel explorations of Shakespeare's multifarious artistry and amazing inventiveness in his use of language will cater for a broad range of readers, from undergraduates, postgraduates, scholars and researchers, to poetry and theatre lovers alike.
This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is unconventional in that it provides concise accounts of many topics instead of a comprehensive account of just one—this is intentionally designed to bring readers up to speed rapidly. Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, étale and fppf cohomology, the Weil conjectures, and the Brauer-Manin and descent obstructions. A final chapter applies all these to study the arithmetic of surfaces. The down-to-earth explanations and the over 100 exercises make the book suitable for use as a graduate-level textbook, but even experts will appreciate having a single source covering many aspects of geometry over an unrestricted ground field and containing some material that cannot be found elsewhere.
A modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasising harmonic analysis on topological groups. The main goal is to cover John Tates visionary thesis, giving virtually all of the necessary analytic details and topological preliminaries -- technical prerequisites that are often foreign to the typical, more algebraically inclined number theorist. While most of the existing treatments of Tates thesis are somewhat terse and less than complete, the intent here is to be more leisurely, more comprehensive, and more comprehensible. While the choice of objects and methods is naturally guided by specific mathematical goals, the approach is by no means narrow. In fact, the subject matter at hand is germane not only to budding number theorists, but also to students of harmonic analysis or the representation theory of Lie groups. The text addresses students who have taken a year of graduate-level course in algebra, analysis, and topology. Moreover, the work will act as a good reference for working mathematicians interested in any of these fields.