Discover Fractal Geometry And Stochastics An Immersive Journey Into Complexity
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Discover Fractal Geometry and Stochastics: An Immersive Journey into Complexity
Author: Pasquale De Marco
language: en
Publisher: Pasquale De Marco
Release Date: 2025-07-10
Embark on an extraordinary journey into the captivating realm of fractal geometry and stochastics with this comprehensive guide. This book unveils the intricate patterns and captivating beauty of fractals, exploring their fundamental principles, diverse applications, and profound implications in various fields. From the awe-inspiring Mandelbrot set to the intricate branching patterns of trees, fractals permeate our natural world. They hold the key to understanding complex phenomena, offering insights into the structure of the universe, the dynamics of financial markets, and the intricate workings of the human body. This book delves deeply into the foundations of fractal geometry, equipping you with a solid understanding of self-similarity, scale invariance, and fractal dimension. You'll discover the fascinating world of random fractals, multifractals, and fractal processes, uncovering their applications in probability theory and beyond. Explore the captivating intersections of fractals with mathematics, computing, and engineering. Learn how fractals are harnessed to create stunning images, design efficient antennas, and model complex systems. Delve into the realm of fractal art, where creativity and mathematics intertwine to produce mesmerizing visual masterpieces. This book also illuminates the profound impact of fractals in medicine, revealing their potential in cardiology, neurology, and drug design. Uncover the mysteries of the human body through the lens of fractal geometry, gaining insights into the intricate structures that govern our health. Prepare to be captivated by the boundless possibilities of fractal geometry and stochastics. This book is an indispensable resource for students, researchers, professionals, and anyone fascinated by the intricate patterns and hidden symmetries that shape our world. If you like this book, write a review!
Mathematics of Wave Phenomena
Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.
Mathematics Education in the Digital Age
The wide availability of digital educational resources for mathematics teaching and learning is indisputable, with some notable genres of technologies having evolved, such as graphing calculators, dynamic graphing, dynamic geometry and data visualization tools. But what does this mean for teachers of mathematics, and how do their roles evolve within this digital landscape? This essential book offers an international perspective to help bridge theory and practice, including coverage of networking theories, curriculum design, task implementation, online resources and assessment. Mathematics Education in the Digital Age details the impacts this digital age has, and will continue to have, on the parallel aspects of learning and teaching mathematics within formal education systems and settings. Written by a group of international authors, the chapters address the following themes: Mathematics teacher education and professional development Mathematics curriculum development and task design The assessment of mathematics Theoretical perspectives and methodologies/approaches for researching mathematics education in the digital age This book highlights not only the complex nature of the field, but also the advancements in theoretical and practical knowledge that is enabling the mathematics education community to continue to learn in this increasingly digital age. It is an essential read for all mathematics teacher educators and master teachers.