| 000 | 03291nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-58513-5 | ||
| 003 | DE-He213 | ||
| 005 | 20251030112248.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240601s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031585135 _9978-3-031-58513-5 |
||
| 024 | 7 |
_a10.1007/978-3-031-58513-5 _2doi |
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| 050 | 4 | _aQA611-614.97 | |
| 072 | 7 |
_aPBP _2bicssc |
|
| 072 | 7 |
_aMAT038000 _2bisacsh |
|
| 072 | 7 |
_aPBP _2thema |
|
| 100 | 1 |
_aLópez, Rafael. _eauthor. _0(orcid)0000-0003-3108-7009 _1https://orcid.org/0000-0003-3108-7009 _4aut _4http://id.loc.gov/vocabulary/relators/aut _978020 |
|
| 245 | 1 | 0 |
_aPoint-Set Topology _h[electronic resource] : _bA Working Textbook / _cby Rafael López. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2024. |
|
| 300 |
_aVIII, 398 p. 120 illus., 7 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSpringer Undergraduate Mathematics Series, _x2197-4144 |
|
| 505 | 0 | _a- Introduction -- Topological spaces -- Proximity on a topological space -- Metric spaces -- Continuity -- Homeomorphisms and topological invariants -- Product topology -- Connectedness -- Compactness -- Quotient topology -- The fundamental group. | |
| 520 | _aThis textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid foundations for further study in mathematics in general, and topology in particular. Aimed at undergraduate students in mathematics with no previous exposure to topology, the book presents key concepts in a mathematically rigorous yet accessible manner, illustrated by numerous examples. The essential feature of the book is the large sets of worked exercises at the end of each chapter. All of the basic topics are covered, namely, metric spaces, continuous maps, homeomorphisms, connectedness, and compactness. The book also explains the main constructions of new topological spaces such as product spaces and quotient spaces. The final chapter makes a foray into algebraic topology with the introduction of the fundamental group. Thanks to nearly 300 solved exercises and abundant examples, Point-Set Topology is especially suitable for supplementing a first lecture course on topology for undergraduates, and it can also be utilized for independent study. The only prerequisites for reading the book are familiarity with mathematical proofs, some elements of set theory, and a good grasp of calculus. | ||
| 650 | 0 |
_aTopology. _972917 |
|
| 650 | 1 | 4 |
_aTopology. _972917 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031585128 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031585142 |
| 830 | 0 |
_aSpringer Undergraduate Mathematics Series, _x2197-4144 _975368 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-58513-5 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 999 |
_c60382 _d60382 |
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