000 03550nam a22005295i 4500
001 978-88-470-1784-9
003 DE-He213
005 20140220084555.0
007 cr nn 008mamaa
008 101231s2010 it | s |||| 0|eng d
020 _a9788847017849
_9978-88-470-1784-9
024 7 _a10.1007/978-88-470-1784-9
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
082 0 4 _a510
_223
100 1 _aCanuto, Claudio.
_eauthor.
245 1 0 _aMathematical Analysis II
_h[electronic resource] /
_cby Claudio Canuto, Anita Tabacco.
264 1 _aMilano :
_bSpringer Milan,
_c2010.
300 _aX, 543p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUniversitext
505 0 _aNumerical series -- Series of functions and power series -- Fourier series -- Functions between Euclidean spaces -- Differential calculus for scalar functions -- Differential calculus for vector-valued functions -- Applying differential calculus -- Integral calculus in several variables -- Integral calculus on curves and surfaces -- Ordinary differential equations.
520 _aThe purpose of this textbook is to present an array of topics in Calculus, and conceptually follow our previous effort Mathematical Analysis I.The present material is partly found, in fact, in the syllabus of the typical second lecture course in Calculus as offered in most Italian universities. While the subject matter known as `Calculus 1' is more or less standard, and concerns real functions of real variables, the topics of a course on `Calculus 2'can vary a lot, resulting in a bigger flexibility. For these reasons the Authors tried to cover a wide range of subjects, not forgetting that the number of credits the current programme specifications confers to a second Calculus course is not comparable to the amount of content gathered here. The reminders disseminated in the text make the chapters more independent from one another, allowing the reader to jump back and forth, and thus enhancing the versatility of the book. On the website: http://calvino.polito.it/canuto-tabacco/analisi 2, the interested reader may find the rigorous explanation of the results that are merely stated without proof in the book, together with useful additional material. The Authors have completely omitted the proofs whose technical aspects prevail over the fundamental notions and ideas. The large number of exercises gathered according to the main topics at the end of each chapter should help the student put his improvements to the test. The solution to all exercises is provided, and very often the procedure for solving is outlined.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aFunctional analysis.
650 0 _aDifferential Equations.
650 0 _aDifferential equations, partial.
650 1 4 _aMathematics.
650 2 4 _aMathematics, general.
650 2 4 _aAnalysis.
650 2 4 _aFunctional Analysis.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aPartial Differential Equations.
700 1 _aTabacco, Anita.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9788847017832
830 0 _aUniversitext
856 4 0 _uhttp://dx.doi.org/10.1007/978-88-470-1784-9
912 _aZDB-2-SMA
999 _c113179
_d113179