Titlebook: Mathematical Analysis II; Claudio Canuto,Anita Tabacco Textbook 20101st edition Springer-Verlag Italia 2010 Differential Equations.Fourier

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0172-5939 xplanation of the results thatare merely stated without proof in the book, together with useful additional material. The Authors have completely omitted the pro978-88-470-1784-9Series ISSN 0172-5939 Series E-ISSN 2191-6675

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周兴旺

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Integral calculus in several variables, for dimension 2 and triple integrals for dimension 3. These new tools rely on the notions of a measurable subset of ℝ. and the corresponding .-dimensional measure; the latter extends the idea of the area of a plane region (.=2), and the volume of a solid (.=3) to more general situations.

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Integral calculus on curves and surfaces,th, or the flow across a membrane immersed in a fluid. Curvilinear integrals rely, de facto, on integrals over real intervals, in the same way as surface integrals are computed by integrating over domains in the plane. A certain attention is devoted to how integrals depend upon the parametrisations and orientations of the manifolds involved.

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