Fr. 54.50

Undergraduate Topology - A Working Textbook

English · Paperback / Softback

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Zusatztext 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. Informationen zum Autor Aisling McCluskey graduated at Queen's University Belfast with a doctorate in Pure Mathematics (topology) in 1990 and subsequently was awarded a postdoctoral fellowship in Toronto in 1991. She was appointed to a permanent lectureship in Mathematics in the National University of Ireland (NUI), Galway, Ireland in January 1992. Since then, she has established a meaningful and rewarding academic career, maintaining an active research profile in the field whilst holding the teaching and learning of mathematics central to her academic endeavour. In recent years, her research interests have diversified into undergraduate mathematics education. She was awarded an institutional award in 2008 for excellence in teaching and then a national award in 2009 across all higher education institutions in Ireland. Brian McMaster studied at Queen's University Belfast, graduating with a PhD in 1972, and has served his alma mater department in various capacities including those of Adviser of Studies, Head of Research and Associate Director of Education. His publication profile covers over sixty refereed journal articles, mostly in the area of general topology but incorporating applications in disciplines as diverse as probabilistic metric spaces and decision support theory. He is presently formally retired but continues to deliver a full undergraduate teaching load on a voluntary basis, following his lifelong commitment to and passion for communicating mathematics to students. His teaching interests focus around analysis (real and complex) and set theory and their development into various fields especially that of analytic topology. Klappentext Point-set topology, important in itself as a research discipline, underpins a wide range of mathematical areas and is consequently taught as a component of many university mathematics degree programmes. This textbook offers an accessible, modern introduction, with a particular focus on helping students to build theory for themselves. Zusammenfassung Point-set topology, important in itself as a research discipline, underpins a wide range of mathematical areas and is consequently taught as a component of many university mathematics degree programmes. This textbook offers an accessible, modern introduction, with a particular focus on helping students to build theory for themselves. Inhaltsverzeichnis Preface 1: Introduction 2: Topological Spaces 3: Continuity and Convergence 4: Invariants 5: Base and Product 6: Separation Axioms Essential Exercises Solutions to Selected Exercises Further Reading ...

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