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| 008 | 170212s2015 gw | s |||| 0|eng d | ||
| 020 |
_a9783319136417 _9978-3-319-13641-7 |
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| 024 | 7 |
_a10.1007/978-3-319-13641-7 _2doi |
|
| 035 | _ato000558529 | ||
| 040 |
_aSpringer _cSpringer _dRU-ToGU |
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| 050 | 4 | _aQA431 | |
| 072 | 7 |
_aPBKL _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 082 | 0 | 4 |
_a515.45 _223 |
| 100 | 1 |
_aPedersen, Steen. _eauthor. _9464563 |
|
| 245 | 1 | 0 |
_aFrom Calculus to Analysis _helectronic resource _cby Steen Pedersen. |
| 260 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
||
| 300 |
_aXIX, 342 p. 48 illus., 14 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 505 | 0 | _aPart I -- Limits -- Introduction to Continuity -- Sets of Real Numbers -- Counting -- Continuity -- Derivatives and their Applications -- The Riemann Integral -- The Logarithm and the Exponential Function -- Part II -- Convergence of Sequences -- Series -- Trigonometric Functions and Applications -- Fourier Series -- Topology -- Appendices. | |
| 520 | _aThis textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section. | ||
| 650 | 0 |
_amathematics. _9566183 |
|
| 650 | 0 |
_aAlgebra. _9281363 |
|
| 650 | 0 |
_aMathematical analysis. _9366823 |
|
| 650 | 0 |
_aAnalysis (Mathematics). _9461020 |
|
| 650 | 0 |
_aIntegral equations. _9566371 |
|
| 650 | 1 | 4 |
_aMathematics. _9566184 |
| 650 | 2 | 4 |
_aIntegral Equations. _9566372 |
| 650 | 2 | 4 |
_aAlgebra. _9281363 |
| 650 | 2 | 4 |
_aanalysis. _9303498 |
| 710 | 2 |
_aSpringerLink (Online service) _9143950 |
|
| 773 | 0 | _tSpringer eBooks | |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-319-13641-7 |
| 912 | _aZDB-2-SMA | ||
| 999 | _c413349 | ||