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.
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.
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. 15901; Titus Andronicus c. 15913; Thomas of Woodstock c. 1593; Romeo and Juliet c. 15956; and I Henry IV, c. 15967. Her research firmly supports the theory that Christopher Marlowe, living on after he supposedly died, was the main hand behind the works of Shakespeare.
These essays by leading scholars of early modern attribution, editing, theater, and versification (including Andrew Gurr, Gary Taylor, and Brian Vickers) focus on questions of authorship, authority, and ownership in Marlowe, Peele, Shakespeare, Middleton, Webster and others. Some essays take MacDonald P. Jackson's pioneering work in these fields a stage further, by looking at the critical consequences; others develop new methods, principles, or theoretical positions in determining authorship; still others use new data to extend or challenge Jackson's findings. the University of Auckland.
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.
A bestselling, beautifully designed edition of William Shakespeare’s sonnets and poems, complete with valuable tools for educators. The authoritative edition of Shakespeare’s Sonnets and Poems from The Folger Shakespeare Library, the trusted and widely used Shakespeare series for students and general readers, includes: -Full explanatory notes conveniently linked to the text of each sonnet and poem -A brief introduction to each sonnet and poem, providing insight into its possible meaning -An index of first lines -Illustrations from the Folger Shakespeare Library’s vast holdings of rare books -An essay by a leading Shakespeare scholar providing a modern perspective on the sonnets The Folger Shakespeare Library in Washington, DC, is home to the world’s largest collection of Shakespeare’s printed works, and a magnet for Shakespeare scholars from around the globe. In addition to exhibitions open to the public throughout the year, the Folger offers a full calendar of performances and programs. For more information, visit Folger.edu.
This book provides a distinctive, radical way beyond the quarrels between evolutionary science and Christian belief. Leading scientists, philosophers, and theologians critically discuss the metaphysical assumptions of neo-Darwinism and offer concrete ways of broadening mainstream evolutionary theory. Their open exchange, moderated by veteran process theologian John B. Cobb, presents a holistic case for evolution that both theists and nontheists can accept. Contributors: Francisco J. Ayala Ian G. Barbour Charles Birch Philip Clayton John B. Cobb Jr. John Greene David Ray Griffin A. Y. Gunter John F. Haught Lynn Margulis Reg Morrison Dorion Sagan Jeffrey Schloss Robert J. Valenza Howard J. Van Till
"From Greek beginnings to contemporary expression, there have been two competing viewpoints of mathematical existence: a procedural one that understands mathematical objects to be created and a Platonic one that accepts eternal, unchanging, and primordial objects that are discovered. Typically, those who espouse a procedural understanding also must explain how mathematical structures are objective. And those who, like Alfred North Whitehead, maintain a Platonic view also must explain how these ideal objects are apprehended by the activities of reason. Whitehead's progressive affirmation of the processive nature of actual entities, in contrast to his affirmation of the primordial nature of ma...