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612-822-4611
Integral: Theory and Application in a variable

Integral: Theory and Application in a variable

Paperback

General Mathematics

ISBN10: 3659836648
ISBN13: 9783659836640
Publisher: Scholars' Press
Published: Apr 15 2025
Pages: 216
Weight: 0.65
Height: 0.49 Width: 6.00 Depth: 9.00
Language: English
Integral is a most powerful and useful tool for solving various problems in natural sciences such as mathematics, physics and so on.We proceed strictly in a logical order, with the focus on the traditional approach of analytics in developing the theory of integration. We have focused on mathematical rigour, summarized the theory of integration with this focus, and more clearly described the integrability with singular integrals.First, we introduce the concept of antiderivative, and described the definition and properties of the indefinite integral, the calculus and, in particular, the integration of some elementary functions.Next, we discuss the definition of the definite integral the integrability criterion, and its properties. In the improper integral we describe improper of bounded function in infinite interval and unbounded function in bounded interval, and convergence criterion of improper integral .We also discuss the application of integration to geometric and physical quantities.

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General Mathematics