Integral, Measure and Derivative

Integral, Measure and Derivative

Author: G. E. Shilov

Publisher: Courier Corporation

Published: 2013-05-13

Total Pages: 258

ISBN-13: 0486165612

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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.


Yvain

Yvain

Author: Chretien de Troyes

Publisher: Yale University Press

Published: 1987-09-10

Total Pages: 242

ISBN-13: 0300187580

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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.


Functional Analysis

Functional Analysis

Author: R.E. Edwards

Publisher: Courier Corporation

Published: 2012-10-25

Total Pages: 802

ISBN-13: 0486145107

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"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.


Zero Prep for Beginners

Zero Prep for Beginners

Author: Laurel Pollard

Publisher: Alta English Publishers

Published: 2001

Total Pages: 150

ISBN-13: 9781882483822

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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.


Resolution of Curve and Surface Singularities in Characteristic Zero

Resolution of Curve and Surface Singularities in Characteristic Zero

Author: K. Kiyek

Publisher: Springer Science & Business Media

Published: 2012-09-11

Total Pages: 506

ISBN-13: 1402020295

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The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.


Annual Review of Information Science and Technology

Annual Review of Information Science and Technology

Author: Information Today Inc

Publisher: Information Today, Inc.

Published: 2005-10

Total Pages: 632

ISBN-13: 9781573872423

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ARIST, published annually since 1966, is a landmark publication within the information science community. It surveys the landscape of information science and technology, providing an analytical, authoritative, and accessible overview of recent trends and significant developments. The range of topics varies considerably, reflecting the dynamism of the discipline and the diversity of theoretical and applied perspectives. While ARIST continues to cover key topics associated with "classical" information science (e.g., bibliometrics, information retrieval), editor Blaise Cronin is selectively expanding its footprint in an effort to connect information science more tightly with cognate academic and professional communities. Contents of Volume 40 (2006): SECTION I: Information and Society Chapter 1: The Micro- and Macroeconomics of Information, Sandra Braman Chapter 2: The Geographies of the Internet, Matthew Zook Chapter 3: Open Access, M. Carl Drott SECTION II: Technologies and Systems Chapter 4: TREC: An Overview, Donna K. Harman and Ellen M. Voorhees Chapter 5: Semantic Relations in Information Science, Christopher S. G. Khoo and Jin-Cheon Na Chapter 6: Intelligence and Security Informatics, Hsinchun Chen and Jennifer Xu SECTION III: Information Needs and Use Chapter 7: Information Behavior, Donald O. Case Chapter 8: Collaborative Information Seeking and Retrieval, Jonathan Foster Chapter 9: Information Failures in Health Care, Anu MacIntosh-Murray and Chun Wei Choo Chapter 10: Workplace Studies and Technological Change, Angela Cora Garcia, Mark E. Dawes, Mary Lou Kohne, Felicia Miller, and Stephan F. Groschwitz SECTION IV: Theoretical Perspectives Chapter 11: Information History, Alistair Black Chapter 12: Social Epistemology and Information Science, Don Fallis Chapter 13: Formal Concept Analysis in Information Science, Uta Priss.


Teaching Reading in Multilingual Classrooms

Teaching Reading in Multilingual Classrooms

Author: David E. Freeman

Publisher: Heinemann Educational Books

Published: 2000

Total Pages: 148

ISBN-13:

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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.