| 000 | 03597nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4939-7369-9 | ||
| 003 | DE-He213 | ||
| 005 | 20181204134423.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 171215s2017 xxu| s |||| 0|eng d | ||
| 020 |
_a9781493973699 _9978-1-4939-7369-9 |
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| 024 | 7 |
_a10.1007/978-1-4939-7369-9 _2doi |
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| 040 | _aISI Library, Kolkata | ||
| 050 | 4 | _aQA299.6-433 | |
| 072 | 7 |
_aPBK _2bicssc |
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_aMAT034000 _2bisacsh |
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_aPBK _2thema |
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_a515 _223 |
| 100 | 1 |
_aLaczkovich, Miklós. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aReal Analysis _h[electronic resource] : _bSeries, Functions of Several Variables, and Applications / _cby Miklós Laczkovich, Vera T. Sós. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2017. |
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| 300 |
_aIX, 392 p. 44 illus. _bonline resource. |
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| 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 |
_aUndergraduate Texts in Mathematics, _x0172-6056 ; _v3 |
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| 505 | 0 | _aFunctions of Several Variables -- 1. R^p → R functions -- 2. R^p → R^q functions -- 3. The Jordan Measure -- 4. The Integral of Multivariable Functions I -- 5. The Integral of Multivariable Functions II -- 6. Infinite Series -- 7. Sequences and Series of Functions -- 8. Miscellaneous Topics -- 9. Hint, Solutions -- References -- Index -- Notation. | |
| 520 | _aThis book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, Real Analysis: Foundations and Functions of One Variable. Together, these volumes form the first English edition of the popular Hungarian original, Valós Analízis I & II, based on courses taught by the authors at Eötvös Loránd University, Hungary, for more than 30 years. Numerous exercises are included throughout, offering ample opportunities to master topics by progressing from routine to difficult problems. Hints or solutions to many of the more challenging exercises make this book ideal for independent study, or further reading. Intended as a sequel to a course in single variable analysis, this book builds upon and expands these ideas into higher dimensions. The modular organization makes this text adaptable for either a semester or year-long introductory course. Topics include: differentiation and integration of functions of several variables; infinite numerical series; sequences and series of functions; and applications to other areas of mathematics. Many historical notes are given and there is an emphasis on conceptual understanding and context, be it within mathematics itself or more broadly in applications, such as physics. By developing the student’s intuition throughout, many definitions and results become motivated by insights from their context. | ||
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 700 | 1 |
_aT. Sós, Vera. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
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_iPrinted edition: _z9781493973675 |
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_iPrinted edition: _z9781493973682 |
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_iPrinted edition: _z9781493984640 |
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_aUndergraduate Texts in Mathematics, _x0172-6056 ; _v3 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-1-4939-7369-9 |
| 912 | _aZDB-2-SMA | ||
| 942 | _cEB | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c427375 _d427375 |
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