This book takes a rigorous approach to, and therefore creates a deeper understanding of, the usual topics handled in one-dimensional calculus--limits, continuity, differentiation, integration, and infinite series. The text was designed to bridge the gap between intuitive calculus courses normally offered at the undergraduate level and the sophisticated analysis courses offered at the senior or graduate level. The author wrote the book with two goals in mind: the development of a rigorous foundation for the basic topics of analysis, and the less tangible acquisition of an accurate intuitive feeling for analysis.
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A gentle yet rigorous introduction to analysis on the real line. Considered more accessible (compared to, say, Baby Rudin) if this is your first course of such a kind.
评分1/2019 - 5/2019 學完後半+Baire category theorem (not in the book) 作為本科入門書不及格,建議本科階段換Real Mathematical Analysis undergraduate text,或者Rudin的也行
评分会一直记得可爱的Prof.McKenzie的~
评分会一直记得可爱的Prof.McKenzie的~
评分A gentle yet rigorous introduction to analysis on the real line. Considered more accessible (compared to, say, Baby Rudin) if this is your first course of such a kind.
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