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NPTEL

Fractals and Multifractals

NPTEL via Swayam

Overview

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ABOUT THE COURSE:

Fractals has been an interesting subject in mathematics since its emergence in the mid-1970s. Although fractal theory is relatively modern, the foundational mathematical tools required to study fractals are drawn primarily from basic concepts in real analysis. Multifractals represent a more advanced extension of the fractal theory. The Euclidean geometry effectively discusses regular forms; however, many real-world phenomena exhibit irregular structures. The course of fractals and multifractals provides a powerful mathematical framework for analyzing such irregular sets and functions through the notion of non-integer (fractal) dimensions. This course is designed for undergraduate, postgraduate students of both Engineering and Mathematical Sciences.

INTENDED AUDIENCE: Final year UG students, PG students of Science and Engineering Disciplines

PREREQUISITES: Basic Calculus or Real Analysis

Taught by

Prof. M. Guru Prem Prasad, Prof. A. Gowrisankar

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