000 03072nam a22004335i 4500
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.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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