ponderables mathematics

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Barrelled Locally Convex Spaces

Author : P. Pérez Carreras
ISBN : 0080872425
Genre : Mathematics
File Size : 31. 47 MB
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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.

Mathematics

Author : Tom Jackson
ISBN : 1627950958
Genre : Mathematics
File Size : 46. 91 MB
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"Includes foldout timeline with over 1,000 milestone facts" -- Cover.

Promising Practices In Undergraduate Science Technology Engineering And Mathematics Education

Author : National Research Council
ISBN : 9780309212946
Genre : Education
File Size : 69. 92 MB
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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.

Cambridge Miscellany Of Mathematics Physics And Astronomy

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ISBN : COLUMBIA:CU07914512
Genre : Mathematics
File Size : 53. 76 MB
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Pacific Journal Of Mathematics

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ISBN : UCAL:B3632318
Genre : Mathematics
File Size : 60. 72 MB
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Houston Journal Of Mathematics

Author :
ISBN : UCAL:B3756214
Genre : Mathematics
File Size : 62. 66 MB
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Business Mathematics For College Students

Author : Edward Hamburger
ISBN : PSU:000028852483
Genre : Business mathematics
File Size : 74. 40 MB
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Transactions Of The American Mathematical Society

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ISBN : UCAL:B3970570
Genre : Mathematics
File Size : 43. 35 MB
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Mathematics

Author : Tom Jackson
ISBN : 1849310661
Genre : Mathematics
File Size : 52. 14 MB
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Introduction; Prehistory to the Middle Ages; The Renaissance and the Age of Enlightenment; New Numbers, New Theories; Modern Mathematics

Barrelled Locally Convex Spaces

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ISBN : UCAL:B5008508
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File Size : 87. 26 MB
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