Titlebook: Solving Problems in Mathematical Analysis, Part II; Definite, Improper a Tomasz Rado?ycki Textbook 2020 Springer Nature Switzerland AG 2020

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Examining Implicit and Inverse Functions,The present chapter is devoted to the investigation of the so-called implicit functions and inverse functions. We will learn how to check if a given equation defines the implicit or inverse function and we will become acquainted with the problem of finding extremes of such functions.

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Solving Differential Equations of the First Order,The following three chapters are devoted to one of the most important topics in calculus: solving ordinary differential equations. In the present chapter, we deal with the equations of the first order and learn how to identify their special types and apply the solving procedure to each of them.

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Tomasz Rado?yckiOffers an extensive list of completely solved problems in mathematical analysis.Covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and mo

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