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Chargement... Introduction to Topology and Modern Analysis (édition 1982)par George F. Simmons
Information sur l'oeuvreIntroduction to Topology and Modern Analysis par George F. Simmons
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This material is intended to contribute to a wider appreciation of the mathematical words "continuity and linearity". The book's purpose is to illuminate the meanings of these words and their relation to each other -- Product Description. Aucune description trouvée dans une bibliothèque |
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Google Books — Chargement... GenresClassification décimale de Melvil (CDD)514Natural sciences and mathematics Mathematics TopologyClassification de la Bibliothèque du CongrèsÉvaluationMoyenne:
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What makes this a great book is the way the author presents the subject matter in such a "beautiful", unified manner, and throughout the book there is a sense of direction, or even "plot". At the last page, the reader feels very enlightened and ready to proceed in his direction-of-choice. Simmons' writing is very motivating, and most of the proofs are easy to follow, because he uses well-placed, "streamlining" informal short-cuts. The difficulty level rises steadily through the book, the third part being a bit harder.
The problems at the end of each section are very interesting, well-made, just appropriately challenging, and they are an integral part of the development. There are hardly any boring, mechanical computations.
The lack of integration theory is definitely a minus, but perhaps it would have bloated the book too much. Now, at 350 pages, it's very accessible. Also, it doesn't serve that well as a reference, since there's so much informal text, and the definitions are not numbered. ( )