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A.Course.in.Modern.Analysis.and.its.Applications
电子书,《现代分析及其应用》
作者:Graeme L. Cohen, Michael Murray,Phil Broadbridge, Chris Heyde , Charles Pearce , Cheryl Praeger
出版商:Cambridge University Press
ISBN:0521526272
Designed for one-semester courses at the senior
undergraduate level, this book will appeal to
mathematics undergraduates, to mathematics teachers,
and to others who need to learn some mathematical
analysis for use in other areas such as engineering,
physics, biology or finance. Topics such as
completeness and compactness are approached initially
through convergence of sequences in metric space, and
the emphasis remains on this approach. However, the
alternative topological approach is described in a
separate chapter. This gives the book more flexibility,
making it especially useful as an introduction to more
advanced areas such as functional analysis. Nominal
divisions of pure and applied mathematics have been
merged, leaving enough for students of either
inclination to have a feeling for what further
developments might look like. Applications have been
included from such fields as differential and integral
equations, systems of linear algebraic equations,
approximation theory, numerical analysis and quantum
mechanics.
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