Titlebook: Solving Problems in Mathematical Analysis, Part III; Curves and Surfaces, Tomasz Radożycki Textbook 2020 Springer Nature Switzerland AG 202

GEST

Investigating Singularities of Complex Functions,morphicity of a given function. The detailed classification of singularities is given in the solution of the first problem. In the second section, examples of problems with singularities are dealt with from the point of view of the Laurent series.

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Nuance

0941-3502 r integrals, complex functions, singularities and Fourier se.This textbook offers an extensive list of completely solved problems in mathematical analysis. This third of three volumes covers curves and surfaces, conditional extremes, curvilinear integrals, complex functions, singularities and Fourie

Alveoli

Examining Oriented Curvilinear Integrals,space over . and its basis . = (.., .., …, ..). The elements of any other basis . = (.., .., …, ..) are linear combinations of .., which can be written in the matrix form . The matrix . is quadratic and nonsingular, so either . or ..

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maladorit

不溶解

Investigating Conditional Extremes,The second chapter is concerned with the so-called ., i.e., those appearing due to the presence of some additional conditions to be fulfilled. This concept is explained in full detail when solving the first problem. Below some principal notions are collected.

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aphasia

Examining Unoriented Curvilinear Integrals,In this chapter, we are concerned with the calculations of unoriented integrals in . such as areas, center-of-mass locations, or moments of inertia of the sheets of surfaces (curved, in general). The following formulas will be of use.

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Examining Differential Forms,This chapter is devoted to the differential forms. We will learn how to calculate their values when acting on vectors, and how to find their exterior products, exterior derivatives, etc. We will also become familiar with the notion and the methods of determining the primitive forms.