This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.
The twelfth-century French poet Chrétien de Troyes is a major figure in European literature. His courtly romances fathered the Arthurian tradition and influenced countless other poets in England as well as on the continent. Yet because of the difficulty of capturing his swift-moving style in translation, English-speaking audiences are largely unfamiliar with the pleasures of reading his poems. Now, for the first time, an experienced translator of medieval verse who is himself a poet provides a translation of Chrétien’s major poem, Yvain, in verse that fully and satisfyingly captures the movement, the sense, and the spirit of the Old French original. Yvain is a courtly romance with a moral tenor; it is ironic and sometimes bawdy; the poetry is crisp and vivid. In addition, the psychological and the socio-historical perceptions of the poem are of profound literary and historical importance, for it evokes the emotions and the values of a flourishing, vibrant medieval past.
Does this idea sound familiar? It is! In response to the demand for another book like the popular original Zero Prep, only geared to the needs of beginning language students, the authors have created this dynamic second title! Whether your beginning students are eager from the start, or reluctant at first, you'll find activities for helping you create wonderful lessons without exhausting yourself. As beginners cannot yet create new language, but they can re-create and reformulate language that they encounter, these activities give many ways to provide language input, including routines for using readings, dictations, pictures, actions, and songs to convey meaning. Plus you'll find activities to help students get to know each other, find their own errors, and take charge of their own learning. Perfect for group or individual work, this volume is another must-have in your library of resources.
Introduces core principles of effective reading practice. Presented as a definitive checklist, these principles form the basis of much of the book and help teachers plan their reading curriculum and assess their teaching of reading easily and confidently. First, the authors introduce the checklist, then they present the theory of reading behind it. As the chapters progress, each item on the checklist is explained and illustrated in detail with examples of eight exemplary teachers who work effectively with mainstream, ESL, and bilingual students. Daily schedules, sample strategy lessons, and lists of literature at different grade levels--both elementary and secondary--help readers put the principles into practice. In the final chapter, the authors address some of the hard questions teachers, administrators, and parents raise about reading, including questions about phonics and phonemic awareness.
"The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews. In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter. Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis. Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.
Each chapter presents a world of useful, effective, and worthwhile language strategies that foster genuine, creative communication and explore how drama reflects the world. The chapters feature the following: clear summaries of each play's plot, innovative pre-reading, in-reading, and post-reading activities for each scene, entertaining video-viewing tasks, and the working with the video sections encourage students to watch the plays on film, adding a valued listening component and an additional level of interest. This "stageful" of lively and thought-provoking activities requires minimum preparation time on behalf of the teacher. Use this as a main text in an intermediate reading class or as a supplementary text in conversation classes, it'll shine stage lights on every English learner!
The guide outlines performance standards for each of three broad goals of English-as-a-Second-Language teaching in elementary and secondary education. The three goals include: use of English to communicate in social settings; use of English to achieve academically in all content areas; and use of English in socially and culturally appropriate ways. Within each of these three goals, three more specific performance standards are enumerated. An introductory section explains the rationale, origins, and use of these standards. Subsequent sections, one for each grade group (pre-K-3, 4-8, 9-12), detail appropriate descriptors and progress indicators for each standard for students at that level. In addition, a brief vignette illustrates their use in the classroom, and some further discussion follows. A glossary is included and supporting documentation is appended. Contains 57 references. (MSE)