By Andre L. Yandl,Adam Bowers
Starting with hassle-free thoughts in good judgment and uncomplicated strategies of facts writing, the textual content defines topological and metric areas and surveys continuity and homeomorphism. extra topics contain product areas, connectedness, and compactness. the ultimate bankruptcy illustrates topology's use in different branches of arithmetic with proofs of the basic theorem of algebra and of Picard's life theorem for differential equations.
"This is a back-to-basics introductory textual content in point-set topology which may double as a transition to proofs path. The writing is especially transparent, now not too concise or too wordy. each one component to the e-book ends with numerous workouts. The not obligatory first bankruptcy covers set idea and evidence tools; if the scholars already understand this fabric you can begin with bankruptcy 2 to offer a instantly topology direction, in a different way the ebook can be utilized as an creation to proofs direction also." — Mathematical organization of America
Read Online or Download Elementary Point-Set Topology: A Transition to Advanced Mathematics (Aurora: Dover Modern Math Originals) PDF
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