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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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A Passage to Modern Analysis (Hardcover)
Loot Price: R2,112
Discovery Miles 21 120
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A Passage to Modern Analysis (Hardcover)
Series: Pure and Applied Undergraduate Texts
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A Passage to Modern Analysis is an extremely well-written and
reader-friendly invitation to real analysis. An introductory text
for students of mathematics and its applications at the advanced
undergraduate and beginning graduate level, it strikes an
especially good balance between depth of coverage and accessible
exposition. The examples, problems, and exposition open up a
student's intuition but still provide coverage of deep areas of
real analysis. A yearlong course from this text provides a solid
foundation for further study or application of real analysis at the
graduate level. A Passage to Modern Analysis is grounded solidly in
the analysis of $\mathbf{R}$ and $\mathbf{R}^{n}$, but at
appropriate points it introduces and discusses the more general
settings of inner product spaces, normed spaces, and metric spaces.
The last five chapters offer a bridge to fundamental topics in
advanced areas such as ordinary differential equations, Fourier
series and partial differential equations, Lebesgue measure and the
Lebesgue integral, and Hilbert space. Thus, the book introduces
interesting and useful developments beyond Euclidean space where
the concepts of analysis play important roles, and it prepares
readers for further study of those developments.
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