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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Undergraduate Analysis - A Working Textbook (Paperback)
Loot Price: R831
Discovery Miles 8 310
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Undergraduate Analysis - A Working Textbook (Paperback)
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Analysis underpins calculus, much as calculus underpins virtually
all mathematical sciences. A sound understanding of analysis'
results and techniques is therefore valuable for a wide range of
disciplines both within mathematics itself and beyond its
traditional boundaries. This text seeks to develop such an
understanding for undergraduate students on mathematics and
mathematically related programmes. Keenly aware of contemporary
students' diversity of motivation, background knowledge and time
pressures, it consistently strives to blend beneficial aspects of
the workbook, the formal teaching text, and the informal and
intuitive tutorial discussion. The authors devote ample space and
time for development of confidence in handling the fundamental
ideas of the topic. They also focus on learning through doing,
presenting a comprehensive range of examples and exercises, some
worked through in full detail, some supported by sketch solutions
and hints, some left open to the reader's initiative. Without
undervaluing the absolute necessity of secure logical argument,
they legitimise the use of informal, heuristic, even imprecise
initial explorations of problems aimed at deciding how to tackle
them. In this respect they authors create an atmosphere like that
of an apprenticeship, in which the trainee analyst can look over
the shoulder of the experienced practitioner.
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