| 期刊全稱 | A Course in Multivariable Calculus and Analysis | | 影響因子2023 | Sudhir R. Ghorpade,Balmohan V. Limaye | | 視頻video | http://file.papertrans.cn/141/140492/140492.mp4 | | 發(fā)行地址 | Neatly ties up multivariable calculus with its relics in one variable calculus.Caters to theoretical as well as practical aspects of multivariable calculus.Contains extensive material on topics not ty | | 學(xué)科分類 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 影響因子 | .This 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 | | Pindex | Textbook 2010 |
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