Frontiers of Fractal Analysis
eBook - ePub

Frontiers of Fractal Analysis

Recent Advances and Challenges

Santo Banerjee, A. Gowrisankar, Santo Banerjee, A. Gowrisankar

Share book
  1. 174 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Frontiers of Fractal Analysis

Recent Advances and Challenges

Santo Banerjee, A. Gowrisankar, Santo Banerjee, A. Gowrisankar

Book details
Book preview
Table of contents

About This Book

The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional geometric approach cannot meet the requirements of solving or analysing nonlinear problems which are related with natural phenomena, therefore, the fractal theory has been born, which aims to understand complexity and provide an innovative way to recognize irregularity and complex systems. Although the concepts of fractal geometry have found wide applications in many forefront areas of science, engineering and societal issues, theyalso have interesting implications of a more practical nature for the older classical areas of science. Since its discovery, there has been a surge of research activities in using this powerful concept in almost every branch of scientific disciplines to gain deep insights into many unresolved problems.

This book includes eight chapters which focus on gathering cutting-edge research and proposing application of fractals features in both traditional scientific disciplines and in applied fields.

Frequently asked questions

How do I cancel my subscription?
Simply head over to the account section in settings and click on “Cancel Subscription” - it’s as simple as that. After you cancel, your membership will stay active for the remainder of the time you’ve paid for. Learn more here.
Can/how do I download books?
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
What is the difference between the pricing plans?
Both plans give you full access to the library and all of Perlego’s features. The only differences are the price and subscription period: With the annual plan you’ll save around 30% compared to 12 months on the monthly plan.
What is Perlego?
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Do you support text-to-speech?
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Is Frontiers of Fractal Analysis an online PDF/ePUB?
Yes, you can access Frontiers of Fractal Analysis by Santo Banerjee, A. Gowrisankar, Santo Banerjee, A. Gowrisankar in PDF and/or ePUB format, as well as other popular books in Matematica & Analisi complessa. We have over one million books available in our catalogue for you to explore.


CRC Press

Chapter 1 Some Remarks on Multivariate Fractal Approximation

Megha Pandey*, Vishal Agrawal and Tanmoy Som
Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, India 221005.
* Corresponding author: [email protected]

1.1 Introduction

The number π is well known in science, it is listed as ratio of a circle’s circumference to its diameter. But one might wonder what is the exact value of π. While solving a numerical problem, we use 3.14 or 3.141, etc., in place of π. But all these values are the nearest possible value of its exact value, these values are known as approximate values. In fact there exist a lot of mathematical numbers whose exact value is a hard nut to crack so we use an approximate value instead of exact value. Approximation is used not only for numbers but we can use it for functions also, i.e., we can even ...

Table of contents