000 | 03072nam a22004335i 4500 | ||
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001 | 978-3-7643-7323-8 | ||
003 | DE-He213 | ||
005 | 20161121230935.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2005 sz | s |||| 0|eng d | ||
020 |
_a9783764373238 _9978-3-7643-7323-8 |
||
024 | 7 |
_a10.1007/b137107 _2doi |
|
050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
|
082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aAmann, Herbert. _eauthor. |
|
245 | 1 | 0 |
_aAnalysis I _h[electronic resource] / _cby Herbert Amann, Joachim Escher. |
264 | 1 |
_aBasel : _bBirkhäuser Basel, _c2005. |
|
300 |
_aXV, 426 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
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505 | 0 | _aFoundations -- Convergence -- Continuous Functions -- Differentiation in One Variable -- Sequences of Functions. | |
520 | _aLogical thinking, the analysis of complex relationships, the recognition of und- lying simple structures which are common to a multitude of problems — these are the skills which are needed to do mathematics, and their development is the main goal of mathematics education. Of course, these skills cannot be learned ‘in a vacuum’. Only a continuous struggle with concrete problems and a striving for deep understanding leads to success. A good measure of abstraction is needed to allow one to concentrate on the essential, without being distracted by appearances and irrelevancies. The present book strives for clarity and transparency. Right from the beg- ning, it requires from the reader a willingness to deal with abstract concepts, as well as a considerable measure of self-initiative. For these e?orts, the reader will be richly rewarded in his or her mathematical thinking abilities, and will possess the foundation needed for a deeper penetration into mathematics and its applications. Thisbookisthe?rstvolumeofathreevolumeintroductiontoanalysis.It- veloped from courses that the authors have taught over the last twenty six years at theUniversitiesofBochum,Kiel,Zurich,BaselandKassel.Sincewehopethatthis book will be used also for self-study and supplementary reading, we have included far more material than can be covered in a three semester sequence. This allows us to provide a wide overview of the subject and to present the many beautiful and important applications of the theory. We also demonstrate that mathematics possesses, not only elegance and inner beauty, but also provides e?cient methods for the solution of concrete problems. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aMathematical analysis. | |
650 | 0 | _aAnalysis (Mathematics). | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aAnalysis. |
700 | 1 |
_aEscher, Joachim. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783764371531 |
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/b137107 |
912 | _aZDB-2-SMA | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c506190 _d506190 |