Titlebook: Mathematical Analysis II; Vladimir A. Zorich Textbook 2016Latest edition Springer-Verlag Berlin Heidelberg 2016 calculus.differential equa

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書目名稱Mathematical Analysis II影響因子(影響力)




書目名稱Mathematical Analysis II影響因子(影響力)學科排名




書目名稱Mathematical Analysis II網(wǎng)絡公開度




書目名稱Mathematical Analysis II網(wǎng)絡公開度學科排名




書目名稱Mathematical Analysis II被引頻次




書目名稱Mathematical Analysis II被引頻次學科排名




書目名稱Mathematical Analysis II年度引用




書目名稱Mathematical Analysis II年度引用學科排名




書目名稱Mathematical Analysis II讀者反饋




書目名稱Mathematical Analysis II讀者反饋學科排名

陶醉

枯燥

https://doi.org/10.1007/978-3-662-48993-2calculus; differential equations; functions; integral calculus; limits; real numbers

tendinitis

Vladimir A. ZorichThoroughness of coverage, from elementary to very advanced.Clarity of exposition.Originality and variety of exercises and examples.Complete logical rigor of discussion.Various new appendices.Useful no

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隱語

*Differential Calculus from a More General Point of View,l tool far beyond real-valued functions, discussed in the first part of the textbook. Formally speaking, this chapter is independent of the material presented earlier, but without the background acquired by reading the first volume, the reader, most likely, would not recognize the rich content of the beautiful abstractions appearing here.

厭惡

Surfaces and Differential Forms in ,,ve a formula for calculating the area of a surface, and we give an initial idea of the concept of a differential form. All these concepts are essential when working with curvilinear and surface integrals, which will be the main subject of the next chapter.

Mortar

*Integration of Differential Forms on Manifolds, derive the contemporary version of the Newton–Leibniz formula, called the general Stokes formula. It incorporates all fundamental classical integral formulas of analysis (Newton–Leibniz, Green, Gauss–Ostrogradskii, and Stokes formulas).

整潔

Uniform Convergence and the Basic Operations of Analysis on Series and Families of Functions,series, one of the most important technical tools of analysis. We consider different types of convergence of sequences and series of functions, and discuss conditions under which certain useful properties of functions persist after passing to a limit.

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