Topics in Uniform Approximation of Continuous FunctionsTopics in Uniform Approximation of Continuous Functions

Math.Soc., 105, (1962), 415–435. 11. Goullet de Rugy, A., Espaces de fonctions ponderables, Israel J.Math., 12 (1972), 147–160. 12. Jewett, R. I., A variation on the Stone-Weierstrass theorem, Proc.Amer. Math.Soc. 14(1963), 690–693. 13.

Author: Ileana Bucur

Publisher: Springer Nature

ISBN: 9783030484125


Page: 140

View: 795

This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass theorems obtained by Korovkin, Bohman, Stone, Bishop, and Von Neumann are also included. In turn, the book presents the approximation of continuous functions defined on a locally compact space (the functions from a weighted space) and that of continuous differentiable functions defined on ¡n. In closing, it highlights selected approximation theorems in locally convex lattices of (M) type. The book is intended for advanced and graduate students of mathematics, and can also serve as a resource for researchers in the field of the theory of functions.

Barrelled Locally Convex SpacesBarrelled Locally Convex Spaces

Math. Z., 188, 75–88, (1984) - - - - - - - - - : (1H) Two questions concerning vector-valued holomorphic functions ... Math. Soc., 77, 340–362, (1954) GOULLET DE RUGY, A. : (1) Espaces de fonctions ponderables. Israel J. Math. , 12, ...

Author: P. Pérez Carreras

Publisher: Elsevier

ISBN: 0080872425


Page: 511

View: 122

This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques. Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the space. The abstract theory of barrelled spaces is then presented, as well as local completeness and its applications to the inheritance of the Mackey topology to subspaces. Further discussed is the abstract study of bornological and ultrabornological spaces; B- and Br-completeness; inductive limits; strong barrelledness conditions; characterizations of barrelled, bornological and (DF)-spaces in the context of spaces of type C(X); the stability of barrelledness conditions of topological tensor products and the related questions of commutability of inductive limits and tensor products; and the holomorphically significant properties of locally convex spaces as developed by Nachbin and others.

Publishers Weekly Book Publishing Almanac 2022Publishers Weekly Book Publishing Almanac 2022

Successful titles include the Ponderables series: Mathematics, The Elements, Physics, Philosophy, Engineering, ... and introduced a new Math series entitled Inside Mathematics in 2017, starting with the publication of Numbers: How ...

Author: Publishers Weekly

Publisher: Simon and Schuster

ISBN: 9781510768901


Page: 768

View: 339

Announcing the first edition of Publishers Weekly Book Publishing Almanac 2022. Designed to help authors, editors, agents, publicists, and anyone else working in book publishing understand the changing landscape of book publishing, it is an essential reference for anyone who works in the industry. Written by industry veterans and co-published with Publishers Weekly magazine, here is the first-ever book to offer a comprehensive view of how modern book publishing works. It offers history and context, as well as up-to-the-minute information for anyone interested in working in the field and for authors looking to succeed with a publisher or by self-publishing. You’ll find here information on: Finding an agent Self-publishing Amazon Barnes & Noble and other book chains Independent bookstores Special sales (non-traditional book markets) Distribution Foreign markets Publicity, Marketing, Advertising Subsidiary rights Book production E-books and audiobooks Diversity, equity, and inclusion across the industry And more! Whether you’re a seasoned publishing professional, just starting out in the business, or simply interested in how book publishing works, the Publishers Weekly Book Publishing Almanac will be an annual go-to reference guide and an essential, authoritative resource that will make that knowledge accessible to a broad audience. Featuring original essays from and interviews with some of the industry's most insightful and innovative voices along with highlights of PW's news coverage over the last year, the Publishers Weekly Book Publishing Almanac is an indispensable guide for publishers, editors, agents, publicists, authors and anyone who wants better to understand this business, its history, and its mysteries.

Disciplinary Literacy in ActionDisciplinary Literacy in Action This site uses Google Earth to showcase math activities in real-life situations. ... also being entertained by in this text. Mathematics, an Illustrated History of Numbers: 100 Ponderables by Tom Appendix B 279.

Author: ReLeah Cossett Lent

Publisher: Corwin Press

ISBN: 9781544317489


Page: 368

View: 361

You wouldn’t tell a heart surgeon to also do pediatrics—so why would we tell content area educators they must “do” literacy? Math, history, English and science teachers are passionate about their specialties, and that’s why authors Releah Lent and Marsha Voight designed a framework that keeps teachers’ subjects at the center of daily classroom life while also helping them pool strengths with colleagues. Based on years of successful implementation, this powerful PL cycle “drops in” seamlessly to any school setting, so teachers schoolwide take on innovative practices of reading, writing, thinking, and doing within their areas of expertise.

Promising Practices in Undergraduate Science Technology Engineering and Mathematics EducationPromising Practices in Undergraduate Science Technology Engineering and Mathematics Education

More than 50 colleges and universities have adapted the SCALE-UP approach in physics, chemistry, mathematics, ... time in activities called “tangibles,” which are handson observations or measurements; “ponderables,” which are complex ...

Author: National Research Council

Publisher: National Academies Press

ISBN: 9780309212946


Page: 96

View: 896

Numerous teaching, learning, assessment, and institutional innovations in undergraduate science, technology, engineering, and mathematics (STEM) education have emerged in the past decade. Because virtually all of these innovations have been developed independently of one another, their goals and purposes vary widely. Some focus on making science accessible and meaningful to the vast majority of students who will not pursue STEM majors or careers; others aim to increase the diversity of students who enroll and succeed in STEM courses and programs; still other efforts focus on reforming the overall curriculum in specific disciplines. In addition to this variation in focus, these innovations have been implemented at scales that range from individual classrooms to entire departments or institutions. By 2008, partly because of this wide variability, it was apparent that little was known about the feasibility of replicating individual innovations or about their potential for broader impact beyond the specific contexts in which they were created. The research base on innovations in undergraduate STEM education was expanding rapidly, but the process of synthesizing that knowledge base had not yet begun. If future investments were to be informed by the past, then the field clearly needed a retrospective look at the ways in which earlier innovations had influenced undergraduate STEM education. To address this need, the National Research Council (NRC) convened two public workshops to examine the impact and effectiveness of selected STEM undergraduate education innovations. This volume summarizes the workshops, which addressed such topics as the link between learning goals and evidence; promising practices at the individual faculty and institutional levels; classroom-based promising practices; and professional development for graduate students, new faculty, and veteran faculty. The workshops concluded with a broader examination of the barriers and opportunities associated with systemic change.


... observing and a mathematical mind ponderables , with especial reference to the Measure which will have more weight by your generalisation of ment and Utilisation of them , ” was delivered by his words than by my dilution of them .



ISBN: NYPL:33433062735869



View: 245

Journal of the Royal Society of ArtsJournal of the Royal Society of Arts

... observing and a mathematical mind ponderables , with especial reference to the Measure which will have more weight by your generalisation of ment and Utilisation of them , " was delivered by his words than by my dilution of them .

Author: Royal Society for the Encouragement of Arts, Manufactures and Commerce


ISBN: BSB:BSB11036641



View: 280


... observing and a mathematical mind ponderables , with especial reference to the Measure- which will have more weight by your generalisation of ment and Utilisation of them , ” was delivered by his words than by my dilution of them .



ISBN: OXFORD:555035801



View: 455

Army R D A Army R D A

... director of the Mathematics Division and Computation Center , and deputy director of Research . ... Stahr Outlines Balance of Industrial Profits PROVOCATIVE PONDERABLES , a popular column of the Army R & D Newsmagazine , 15 years ...



ISBN: OSU:32435062846886



View: 832