Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|
E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA611.SPR. FCT 94402 (Browse shelf) | 1 | Available |
Browsing Biblioteca da FCTUNL Shelves , Shelving location: Online , Collection code: Não Ficção Close shelf browser
QA278.8.SPR. FCT 94397 Permutation, parametric and bootstrap tests of hypotheses | QA184.SPR. FCT 94398 Advanced linear algebra | QA402.5.SPR. FCT 94401 Constrained optimization and image space analysis | QA611.SPR. FCT 94402 A taste of topology | QA274.7.SPR. FCT 94404 Markov processes, brownian motion, and time symmetry | QA343.SPR. FCT 94405 Theory and applications of special functions | QA164.SPR. FCT 94420 Branch-and-bound applications in combinatorial data analysis |
Colocação: Online
If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language. The present book grew out of notes for an introductory topology course at the University of Alberta. It provides a concise introduction to set-theoretic topology (and to a tiny little bit of algebraic topology). It is accessible to undergraduates from the second year on, but even beginning graduate students can benefit from some parts. Great care has been devoted to the selection of examples that are not self-serving, but already accessible for students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In some points, the book treats its material differently than other texts on the subject: * Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; * Nets are used extensively, in particular for an intuitive proof of Tychonoff's theorem; * A short and elegant, but little known proof for the Stone-Weierstrass theorem is given.
There are no comments for this item.