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9780198702344: UNDERGRADUATE TOPOLOGY:WORKING TEXTB P: A Working Textbook
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Undergraduate Topology: A Working Textbook, Aisling Mccluskey And Brian Mcmaster, 9780198702344, Oxford University Press, 2014, Paperback

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Críticas:
The text offers a step-by-step learning with motivation, help and guidance; lucidity takes priority over elegant prose ... in only 144 pages, the excellent book covers most of the topics that a well-read graduate student is expected to know in basic general topology. (Peter Shiu, Mathematical Gazette)

General Topology is a vast fundamental domain of mathematics. Its basic concepts, and central ideas of convergence and continuity, are connected by a multitude of links to practically every domain of mathematics. This makes writing a reasonably balanced undergraduate textbook on General Topology a formidable task. The authors have resoundingly accomplished this task in the creation of a unique textbook, less than 150 pages long, which offers the core basics of General Topology in a manner that allows instructor and student alike to take an active and insightful approach to their teaching and learning. Even more, students can select their own measure of initiative and creativity as they proceed. (A. V. Arhangel'skii, Ohio University)

This approachable and engaging book should help students gain confidence and practice in building mathematical theory by themselves. (Stephen Watson, York University Toronto)

This text marks a timely addition to the literature; it provides a rich resource and opportunity for the contemporary student to learn deeply, to learn as a âworkingâ mathematician, to learn by doing mathematics . . . That learning is cleverly and subtly supported throughout by the text's novel and engaging presentation. (Jan van Mill, University of Amsterdam)
Reseña del editor:
This textbook offers an accessible, modern introduction at undergraduate level to an area known variously as general topology, point-set topology or analytic topology with a particular focus on helping students to build theory for themselves. It is the result of several years of the authors' combined university teaching experience stimulated by sustained interest in advanced mathematical thinking and learning, alongside established research careers in analytic topology.

Point-set topology is a discipline that needs relatively little background knowledge, but sufficient determination to grasp ideas precisely and to argue with straight and careful logic. Research and long experience in undergraduate mathematics education suggests that an optimal way to learn such a subject is to teach it to yourself, pro-actively, by guided reading of brief skeleton notes and by doing your own spadework to fill in the details and to flesh out the examples. This text will facilitate such an approach for those learners who opt to do it this way and for those instructors who would like to encourage this so-called 'Moore approach', even for a modest segment of the teaching term or for part of the class.

In reality, most students simply do not have the combination of time, background and motivation needed to implement such a plan fully. The accessibility, flexibility and completeness of this text enable it to be used equally effectively for more conventional instructor-led courses. Critically, it furnishes a rich variety of exercises and examples, many of which have specimen solutions, through which to gain in confidence and competence.

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  • EditorialOxford University Press
  • Año de publicación2014
  • ISBN 10 0198702345
  • ISBN 13 9780198702344
  • EncuadernaciónTapa blanda
  • Número de páginas158
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