NEX
发表于 2025-3-23 12:34:20
*Continuous Mappings (General Theory),In this chapter we generalize substantially the properties of continuous maps, established earlier for real-valued functions and for maps of the type .. We present these properties from a unified point of view. In particular, we introduce a number of simple, yet important concepts common for various domains of mathematics.
Anticoagulant
发表于 2025-3-23 17:12:57
Multiple Integrals,Integral calculus, which is already partly known to the reader for functions of one real variable, is developed here for functions of several variables.
Insubordinate
发表于 2025-3-23 19:11:04
Line and Surface Integrals,We develop the integral calculus. In this chapter we introduce curvilinear and surface integrals and obtain some fundamental and widely used integral formulas generalizing the classical Newton–Leibniz formula.
FECK
发表于 2025-3-23 23:50:58
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Postulate
发表于 2025-3-24 04:43:54
Fourier Series and the Fourier Transform,This chapter is entirely devoted to Fourier series and Fourier transforms, given their place and role in analysis, in mathematics, and in applications, especially in physics and engineering.
Opponent
发表于 2025-3-24 09:47:55
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Dignant
发表于 2025-3-24 14:02:44
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垄断
发表于 2025-3-24 15:30:51
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elucidate
发表于 2025-3-24 21:52:35
*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 th
bifurcate
发表于 2025-3-24 23:13:48
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.