000			02702nam a22003137a 4500
003			OSt
005			20250728171209.0
008			250728b |||||||| |||| 00| 0 eng d
020			_a9781461425212
020			_a9781493970841 (pbk.) _c€ 56.99
040			_bENG _cIISER-BPR _dIISER-BPR
041			_aENG
082			_a515.94 _bGHO _223rd
100			_aGhorpade, Sudhir R. _95505
222			_aMathematics
245			_aA course in multivariable calculus and analysis
250			_a1st ed.
260			_a New York : _bSpringer Science, _cc2009.
300			_axii, 477 p. : _bill. ; _c23cm
440			_aUndergraduate Texts in Mathematics
504			_aIncludes illustrations, references, list of symbols and abbreviations and index.
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			_aMathematics
650			_aAnalysis
650			_aFunctions of several complex variables _95506
650			_aComplex analysis
700			_aLimaye, Balmohan V. _93451
942			_2ddc _cBK
999			_c4271 _d4271