| 000 | 02505nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-3894-6 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083249.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120723s2012 xxu| s |||| 0|eng d | ||
| 020 |
_a9781461438946 _9978-1-4614-3894-6 |
||
| 024 | 7 |
_a10.1007/978-1-4614-3894-6 _2doi |
|
| 050 | 4 | _aQA319-329.9 | |
| 072 | 7 |
_aPBKF _2bicssc |
|
| 072 | 7 |
_aMAT037000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515.7 _223 |
| 100 | 1 |
_aColeman, Rodney. _eauthor. |
|
| 245 | 1 | 0 |
_aCalculus on Normed Vector Spaces _h[electronic resource] / _cby Rodney Coleman. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2012. |
|
| 300 |
_aXI, 249 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aUniversitext, _x0172-5939 |
|
| 505 | 0 | _aPreface -- 1 Normed Vector Spaces -- 2 Differentiation -- 3 Mean value theorems -- 4 Higher derivatives and differentials -- 5 Taylor theorems and applications -- 6 Hilbert spaces -- 7 Convex functions -- 8 The inverse and implicit mapping theorems -- 9 Vector fields -- 10 The flow of a vector field -- 11 The calculus of variations: an introduction -- Bibliography -- Index. | |
| 520 | _aThis book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary. In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts. The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aFunctional analysis. | |
| 650 | 0 | _aMathematical optimization. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aFunctional Analysis. |
| 650 | 2 | 4 | _aOptimization. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461438939 |
| 830 | 0 |
_aUniversitext, _x0172-5939 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-3894-6 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c101458 _d101458 |
||