Discover Fractal Geometry And Stochastics An Immersive Journey Into Complexity
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Discover Fractal Geometry And Stochastics An Immersive Journey Into Complexity
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-10
Discover Fractal Geometry And Stochastics An Immersive Journey Into Complexity written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-10 with Science categories.
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
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Author : Willy Dörfler
language : en
Publisher: Springer Nature
Release Date : 2020-10-01
Mathematics Of Wave Phenomena written by Willy Dörfler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-01 with Mathematics categories.
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
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Author : Alison Clark-Wilson
language : en
Publisher: Routledge
Release Date : 2021-05-24
Mathematics Education In The Digital Age written by Alison Clark-Wilson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-24 with Education categories.
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.
Black Holes In Higher Dimensions
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Author : Gary T. Horowitz
language : en
Publisher: Cambridge University Press
Release Date : 2012-04-19
Black Holes In Higher Dimensions written by Gary T. Horowitz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-19 with Science categories.
The first book devoted to black holes in more than four dimensions, for graduate students and researchers.
Hierarchy In Natural And Social Sciences
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Author : Denise Pumain
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-15
Hierarchy In Natural And Social Sciences written by Denise Pumain and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-15 with Business & Economics categories.
Hierarchy is a form of organisation of complex systems that rely on or produce a strong differentiation in capacity (power and size) between the parts of the system. It is frequently observed within the natural living world as well as in social institutions. According to the authors, hierarchy results from random processes, follows an intentional design, or is the result of the organisation which ensures an optimal circulation of energy for information. This book reviews ancient and modern representations and explanations of hierarchies, and compares their relevance in a variety of fields, such as language, societies, cities, and living species. It throws light on concepts and models such as scaling laws, fractals and self-organisation that are fundamental in the dynamics and morphology of complex systems. At a time when networks are celebrated for their efficiency, flexibility and better social acceptance, much can be learned about the persistent universality and adaptability of hierarchies, and from the analogies and differences between biological and social organisation and processes. This book addresses a wide audience of biologists and social scientists, as well as managers and executives in a variety of institutions.
Multiple View Geometry In Computer Vision
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Author : Richard Hartley
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-25
Multiple View Geometry In Computer Vision written by Richard Hartley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-25 with Computers categories.
A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.
Space Time And The Limits Of Human Understanding
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Author : Shyam Wuppuluri
language : en
Publisher: Springer
Release Date : 2016-12-01
Space Time And The Limits Of Human Understanding written by Shyam Wuppuluri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-01 with Science categories.
In this compendium of essays, some of the world’s leading thinkers discuss their conceptions of space and time, as viewed through the lens of their own discipline. With an epilogue on the limits of human understanding, this volume hosts contributions from six or more diverse fields. It presumes only rudimentary background knowledge on the part of the reader. Time and again, through the prism of intellect, humans have tried to diffract reality into various distinct, yet seamless, atomic, yet holistic, independent, yet interrelated disciplines and have attempted to study it contextually. Philosophers debate the paradoxes, or engage in meditations, dialogues and reflections on the content and nature of space and time. Physicists, too, have been trying to mold space and time to fit their notions concerning micro- and macro-worlds. Mathematicians focus on the abstract aspects of space, time and measurement. While cognitive scientists ponder over the perceptual and experiential facets of our consciousness of space and time, computer scientists theoretically and practically try to optimize the space-time complexities in storing and retrieving data/information. The list is never-ending. Linguists, logicians, artists, evolutionary biologists, geographers etc., all are trying to weave a web of understanding around the same duo. However, our endeavour into a world of such endless imagination is restrained by intellectual dilemmas such as: Can humans comprehend everything? Are there any limits? Can finite thought fathom infinity? We have sought far and wide among the best minds to furnish articles that provide an overview of the above topics. We hope that, through this journey, a symphony of patterns and tapestry of intuitions will emerge, providing the reader with insights into the questions: What is Space? What is Time? Chapter [15] of this book is available open access under a CC BY 4.0 license.
Drawing Futures
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Author : Bob Sheil
language : en
Publisher: UCL Press
Release Date : 2016-11-11
Drawing Futures written by Bob Sheil and has been published by UCL Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-11 with Architecture categories.
Drawing Futures brings together international designers and artists for speculations in contemporary drawing for art and architecture.Despite numerous developments in technological manufacture and computational design that provide new grounds for designers, the act of drawing still plays a central role as a vehicle for speculation. There is a rich and long history of drawing tied to innovations in technology as well as to revolutions in our philosophical understanding of the world. In reflection of a society now underpinned by computational networks and interfaces allowing hitherto unprecedented views of the world, the changing status of the drawing and its representation as a political act demands a platform for reflection and innovation. Drawing Futures will present a compendium of projects, writings and interviews that critically reassess the act of drawing and where its future may lie.Drawing Futures focuses on the discussion of how the field of drawing may expand synchronously alongside technological and computational developments. The book coincides with an international conference of the same name, taking place at The Bartlett School of Architecture, UCL, in November 2016. Bringing together practitioners from many creative fields, the book discusses how drawing is changing in relation to new technologies for the production and dissemination of ideas.
Ray Tracing Gems
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Author : Eric Haines
language : en
Publisher: Apress
Release Date : 2019-02-25
Ray Tracing Gems written by Eric Haines and has been published by Apress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-25 with Computers categories.
This book is a must-have for anyone serious about rendering in real time. With the announcement of new ray tracing APIs and hardware to support them, developers can easily create real-time applications with ray tracing as a core component. As ray tracing on the GPU becomes faster, it will play a more central role in real-time rendering. Ray Tracing Gems provides key building blocks for developers of games, architectural applications, visualizations, and more. Experts in rendering share their knowledge by explaining everything from nitty-gritty techniques that will improve any ray tracer to mastery of the new capabilities of current and future hardware. What you'll learn: The latest ray tracing techniques for developing real-time applications in multiple domains Guidance, advice, and best practices for rendering applications with Microsoft DirectX Raytracing (DXR) How to implement high-performance graphics for interactive visualizations, games, simulations, and more Who this book is for: Developers who are looking to leverage the latest APIs and GPU technology for real-time rendering and ray tracing Students looking to learn about best practices in these areas Enthusiasts who want to understand and experiment with their new GPUs
Procedural Content Generation In Games
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Author : Noor Shaker
language : en
Publisher: Springer
Release Date : 2016-10-18
Procedural Content Generation In Games written by Noor Shaker and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-18 with Computers categories.
This book presents the most up-to-date coverage of procedural content generation (PCG) for games, specifically the procedural generation of levels, landscapes, items, rules, quests, or other types of content. Each chapter explains an algorithm type or domain, including fractal methods, grammar-based methods, search-based and evolutionary methods, constraint-based methods, and narrative, terrain, and dungeon generation. The authors are active academic researchers and game developers, and the book is appropriate for undergraduate and graduate students of courses on games and creativity; game developers who want to learn new methods for content generation; and researchers in related areas of artificial intelligence and computational intelligence.