000			03476nam a22004335i 4500
001			u371393
003			SIRSI
005			20160812080126.0
007			cr nn 008mamaa
008			100715s2010 xxu| s |||| 0|eng d
020			_a9781441916211 _9978-1-4419-1621-1
040			_cMX-MeUAM
050		4	_aQA299.6-433
082	0	4	_a515 _223
100	1		_aGhorpade, Sudhir R. _eauthor.
245	1	2	_aA Course in Multivariable Calculus and Analysis _h[recurso electrónico] / _cby Sudhir R. Ghorpade, Balmohan V. Limaye.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_aXII, 475 p. 65 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
505	0		_aVectors and Functions -- Sequences, Continuity, and Limits -- Partial and Total Differentiation -- Applications of Partial Differentiation -- Multiple Integration -- Applications and Approximations of Multiple Integrals -- Double Series and Improper Double Integrals.
520			_aThis self-contained textbook gives a thorough exposition of multivariable calculus. It can be viewed as a sequel to the one-variable calculus text, A Course in Calculus and Real Analysis, published in the same series. The emphasis is on correlating general concepts and results of multivariable calculus with their counterparts in one-variable calculus. For example, when the general definition of the volume of a solid is given using triple integrals, the authors explain why the shell and washer methods of one-variable calculus for computing the volume of a solid of revolution must give the same answer. Further, the book includes genuine analogues of basic results in one-variable calculus, such as the mean value theorem and the fundamental theorem of calculus. This book is distinguished from others on the subject: it examines topics not typically covered, such as monotonicity, bimonotonicity, and convexity, together with their relation to partial differentiation, cubature rules for approximate evaluation of double integrals, and conditional as well as unconditional convergence of double series and improper double integrals. Moreover, the emphasis is on a geometric approach to such basic notions as local extremum and saddle point. Each chapter contains detailed proofs of relevant results, along with numerous examples and a wide collection of exercises of varying degrees of difficulty, making the book useful to undergraduate and graduate students alike. There is also an informative section of "Notes and Comments’’ indicating some novel features of the treatment of topics in that chapter as well as references to relevant literature. The only prerequisite for this text is a course in one-variable calculus.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
700	1		_aLimaye, Balmohan V. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441916204
830		0	_aUndergraduate Texts in Mathematics, _x0172-6056
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-1621-1
596			_a19
942			_cLIBRO_ELEC
999			_c199273 _d199273