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Finite-Dimensional Spaces - Algebra, Geometry and Analysis Volume I (Paperback, Softcover reprint of the original 1st ed. 1987)
Loot Price: R8,336
Discovery Miles 83 360
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Finite-Dimensional Spaces - Algebra, Geometry and Analysis Volume I (Paperback, Softcover reprint of the original 1st ed. 1987)
Series: Mechanics: Analysis, 10
Expected to ship within 10 - 15 working days
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A. Audience. This treatise (consisting of the present VoU and of
VoUI, to be published) is primarily intended to be a textbook for a
core course in mathematics at the advanced undergraduate or the
beginning graduate level. The treatise should also be useful as a
textbook for selected stu dents in honors programs at the sophomore
and junior level. Finally, it should be of use to theoretically
inclined scientists and engineers who wish to gain a better
understanding of those parts of mathemat ics that are most likely
to help them gain insight into the conceptual foundations of the
scientific discipline of their interest. B. Prerequisites. Before
studying this treatise, a student should be familiar with the
material summarized in Chapters 0 and 1 of Vol.1. Three
one-semester courses in serious mathematics should be sufficient to
gain such fa miliarity. The first should be an introduction to
contemporary math ematics and should cover sets, families,
mappings, relations, number systems, and basic algebraic
structures. The second should be an in troduction to rigorous real
analysis, dealing with real numbers and real sequences, and with
limits, continuity, differentiation, and integration of real
functions of one real variable. The third should be an intro
duction to linear algebra, with emphasis on concepts rather than on
computational procedures. C. Organization."
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