Make Your Own Mandelbrot

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Make Your Own Mandelbrot

Tariq Rashid
Make Your Own Mandelbrot Book PDF

Author : Tariq Rashid
Publisher : CreateSpace
Page : 128 pages
File Size : 55,5 Mb
Release : 2014-04-02
Category : Mathematics
ISBN : 1500552968

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Make Your Own Mandelbrot by Tariq Rashid Pdf

A gentle journey through the mathematics of the Mandelbrot and Julia fractals, and making your own using the Python computer language. Mathematics can be fun, exciting, surprising, and stunningly beautiful. But too few people ever experience this, associating it instead with boring and apparently pointless exercises in trigonometry and solving equations. This guide will take you on an emotional journey, starting from very simple ideas, and exploring some surprising and intricately beautiful behaviors of the very simple mathematics that underlies the famous Mandelbrot fractal. You won't need anything more than basic school mathematics. Part 1 is about ideas. It introduces the mathematical ideas underlying the Mandelbrot fractal, gently with lots of illustrations and examples. Part 2 is practical. It introduces the popular and easy to learn Python programming language, and gradually builds up a program to calculate and visualise the Mandelbrot fractal. Part 3 extends these ideas. It reveals the related Julia fractals, creates 3-dimensional landscapes and shows how even more interesting images can be made using mathematical filters. The fractal image on the cover of this book is created using only the ideas and code developed in this book.

Dynamical Systems with Applications Using Mathematica®

Stephen Lynch
Dynamical Systems with Applications Using Mathematica Book PDF

Author : Stephen Lynch
Publisher : Birkhäuser
Page : 585 pages
File Size : 53,8 Mb
Release : 2017-10-12
Category : Mathematics
ISBN : 9783319614854

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Dynamical Systems with Applications Using Mathematica® by Stephen Lynch Pdf

This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.

Dynamical Systems with Applications using Python

Stephen Lynch
Dynamical Systems with Applications using Python Book PDF

Author : Stephen Lynch
Publisher : Springer
Page : 665 pages
File Size : 45,8 Mb
Release : 2018-10-09
Category : Mathematics
ISBN : 9783319781457

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Dynamical Systems with Applications using Python by Stephen Lynch Pdf

This textbook provides a broad introduction to continuous and discrete dynamical systems. With its hands-on approach, the text leads the reader from basic theory to recently published research material in nonlinear ordinary differential equations, nonlinear optics, multifractals, neural networks, and binary oscillator computing. Dynamical Systems with Applications Using Python takes advantage of Python’s extensive visualization, simulation, and algorithmic tools to study those topics in nonlinear dynamical systems through numerical algorithms and generated diagrams. After a tutorial introduction to Python, the first part of the book deals with continuous systems using differential equations, including both ordinary and delay differential equations. The second part of the book deals with discrete dynamical systems and progresses to the study of both continuous and discrete systems in contexts like chaos control and synchronization, neural networks, and binary oscillator computing. These later sections are useful reference material for undergraduate student projects. The book is rounded off with example coursework to challenge students’ programming abilities and Python-based exam questions. This book will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a range of disciplines, such as biology, chemistry, computing, economics, and physics. Since it provides a survey of dynamical systems, a familiarity with linear algebra, real and complex analysis, calculus, and ordinary differential equations is necessary, and knowledge of a programming language like C or Java is beneficial but not essential.

Fractal Analysis: Basic Concepts And Applications

Carlo Cattani,Anouar Ben Mabrouk,Sabrine Arfaoui
Fractal Analysis Basic Concepts And Applications Book PDF

Author : Carlo Cattani,Anouar Ben Mabrouk,Sabrine Arfaoui
Publisher : World Scientific
Page : 244 pages
File Size : 42,6 Mb
Release : 2022-02-24
Category : Mathematics
ISBN : 9789811239458

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Fractal Analysis: Basic Concepts And Applications by Carlo Cattani,Anouar Ben Mabrouk,Sabrine Arfaoui Pdf

The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book.Besides advanced undergraduate students, graduate students and senior researchers, this book may also serve scientists and research workers from industrial settings, where fractals and multifractals are required for modeling real-world phenomena and data, such as finance, medicine, engineering, transport, images, signals, among others.For the theorists, rigorous mathematical developments are established with necessary prerequisites that make the book self-containing. For the practitioner often interested in model building and analysis, we provide the cornerstone ideas.

The Fractalist

Benoit Mandelbrot
The Fractalist Book PDF

Author : Benoit Mandelbrot
Publisher : Vintage
Page : 362 pages
File Size : 41,7 Mb
Release : 2014-01-14
Category : Biography & Autobiography
ISBN : 9780307389916

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The Fractalist by Benoit Mandelbrot Pdf

Here is the remarkable life story of Benoit Mandelbrot, the creator of fractal geometry, and his unparalleled contributions to science mathematics, the financial world, and the arts. Mandelbrot recounts his early years in Warsaw and in Paris, where he was mentored by an eminent mathematician uncle, through his days evading the Nazis in occupied France, to his education at Caltech, Princeton, and MIT, and his illustrious career at the IBM Thomas J. Watson Research Center. An outside to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden scientific laws. In the process he was able to use geometry to solve fresh, real-world problems. With exuberance and an eloquent fluency, Benoit Mandelbrot recounts the high points of his fascinating life, offering us a glimpse into the evolution of his extraordinary mind. With full-color inserts and black-and-white photographs throughout.

Geometry for the Artist

Catherine A. Gorini
Geometry for the Artist Book PDF

Author : Catherine A. Gorini
Publisher : CRC Press
Page : 255 pages
File Size : 45,5 Mb
Release : 2023-05-26
Category : Mathematics
ISBN : 9781000876390

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Geometry for the Artist by Catherine A. Gorini Pdf

Geometry for the Artist is based on a course of the same name which started in the 1980s at Maharishi International University. It is aimed both at artists willing to dive deeper into geometry and at mathematicians open to learning about applications of mathematics in art. The book includes topics such as perspective, symmetry, topology, fractals, curves, surfaces, and more. A key part of the book’s approach is the analysis of art from a geometric point of view—looking at examples of how artists use each new topic. In addition, exercises encourage students to experiment in their own work with the new ideas presented in each chapter. This book is an exceptional resource for students in a general-education mathematics course or teacher-education geometry course, and since many assignments involve writing about art, this text is ideal for a writing-intensive course. Moreover, this book will be enjoyed by anyone with an interest in connections between mathematics and art. Features Abundant examples of artwork displayed in full color Suitable as a textbook for a general-education mathematics course or teacher-education geometry course Designed to be enjoyed by both artists and mathematicians

Fractals and Chaos

Benoit Mandelbrot
Fractals and Chaos Book PDF

Author : Benoit Mandelbrot
Publisher : Springer Science & Business Media
Page : 321 pages
File Size : 45,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475740172

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Fractals and Chaos by Benoit Mandelbrot Pdf

Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.

Agricultural Cybernetics

Yanbo Huang,Qin Zhang
Agricultural Cybernetics Book PDF

Author : Yanbo Huang,Qin Zhang
Publisher : Springer Nature
Page : 264 pages
File Size : 42,7 Mb
Release : 2021-08-17
Category : Technology & Engineering
ISBN : 9783030721022

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Agricultural Cybernetics by Yanbo Huang,Qin Zhang Pdf

Agricultural systems are uniquely complex systems, given that agricultural systems are parts of natural and ecological systems. Those aspects bring in a substantial degree of uncertainty in system operation. Also, impact factors, such as weather factors, are critical in agricultural systems but these factors are uncontrollable in system management. Modern agriculture has been evolving through precision agriculture beginning in the late 1980s and biotechnological innovations in the early 2000s. Precision agriculture implements site-specific crop production management by integrating agricultural mechanization and information technology in geographic information system (GIS), global navigation satellite system (GNSS), and remote sensing. Now, precision agriculture is set to evolve into smart agriculture with advanced systematization, informatization, intelligence and automation. From precision agriculture to smart agriculture, there is a substantial amount of specific control and communication problems that have been investigated and will continue to be studied. In this book, the core ideas and methods from control problems in agricultural production systems are extracted, and a system view of agricultural production is formulated for the analysis and design of management strategies to control and optimize agricultural production systems while exploiting the intrinsic feedback information-exchanging mechanisms. On this basis, the theoretical framework of agricultural cybernetics is established to predict and control the behavior of agricultural production systems through control theory.

Seek!

Rudy Rucker
Seek Book PDF

Author : Rudy Rucker
Publisher : Running Press Adult
Page : 234 pages
File Size : 41,5 Mb
Release : 1999-05-28
Category : Philosophy
ISBN : 9780762441396

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Seek! by Rudy Rucker Pdf

The essays and memoirs collected in Seek! trace Rudy Rucker's trajectory through the final decade of the second millennium. His topics include artificial life, chaos, the big bang, Pieter Brueghel, the church of the subgenius, live sex, mathematics, science fiction, and TV evangelism. A computer scientist and programmer, Rucker is an articulate, engaging guide to the world on either side of the computer screen.

Fractals Everywhere

Michael F. Barnsley,Hawley Rising
Fractals Everywhere Book PDF

Author : Michael F. Barnsley,Hawley Rising
Publisher : Morgan Kaufmann
Page : 568 pages
File Size : 55,8 Mb
Release : 1993
Category : Computers
ISBN : 0120790696

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Fractals Everywhere by Michael F. Barnsley,Hawley Rising Pdf

This volume is the second edition of the highly successful Fractals Everywhere. The Focus of this text is how fractal geometry can be used to model real objects in the physical world. This edition of Fractals Everywhere is the most up-to-date fractal textbook available today. Fractals Everywhere may be supplemented by Michael F. Barnsley's Desktop Fractal Design System (version 2.0) with IBM for Macintosh software. The Desktop Fractal Design System 2.0 is a tool for designing Iterated Function Systems codes and fractal images, and makes an excellent supplement to a course on fractal geometry * A new chapter on recurrent iterated function systems, including vector recurrent iterated function systems. * Problems and tools emphasizing fractal applciations. * An all-new answer key to problems in the text, with solutions and hints.

The Nature of Code

Daniel Shiffman
The Nature of Code Book PDF

Author : Daniel Shiffman
Publisher : No Starch Press
Page : 0 pages
File Size : 55,9 Mb
Release : 2024-09-03
Category : Computers
ISBN : 9781718503717

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The Nature of Code by Daniel Shiffman Pdf

All aboard The Coding Train! This beginner-friendly creative coding tutorial is designed to grow your skills in a fun, hands-on way as you build simulations of real-world phenomena with “The Coding Train” YouTube star Daniel Shiffman. How can we use code to capture the unpredictable properties of nature? How can understanding the mathematical principles behind our physical world help us create interesting digital environments? Written by “The Coding Train” YouTube star Daniel Shiffman, The Nature of Code is a beginner-friendly creative coding tutorial that explores a range of programming strategies for developing computer simulations of natural systems—from elementary concepts in math and physics to sophisticated machine-learning algorithms. Using the same enthusiastic style on display in Shiffman’s popular YT channel, this book makes learning to program fun, empowering you to generate fascinating graphical output while refining your problem-solving and algorithmic-thinking skills. You’ll progress from building a basic physics engine that simulates the effects of forces like gravity and wind resistance, to creating evolving systems of intelligent autonomous agents that can learn from their mistakes and adapt to their environment. The Nature of Code introduces important topics such as: Randomness Forces and vectors Trigonometry Cellular automata and fractals Genetic algorithms Neural networks Learn from an expert how to transform your beginner-level skills into writing well-organized, thoughtful programs that set the stage for further experiments in generative design. NOTE: All examples are written with p5.js, a JavaScript library for creative coding, and are available on the book's website.

Nonlinear Systems

P. G. Drazin
Nonlinear Systems Book PDF

Author : P. G. Drazin
Publisher : Cambridge University Press
Page : 354 pages
File Size : 54,8 Mb
Release : 1992-06-26
Category : Mathematics
ISBN : 0521406684

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Nonlinear Systems by P. G. Drazin Pdf

The theories of bifurcation, chaos and fractals as well as equilibrium, stability and nonlinear oscillations, are part of the theory of the evolution of solutions of nonlinear equations. A wide range of mathematical tools and ideas are drawn together in the study of these solutions, and the results applied to diverse and countless problems in the natural and social sciences, even philosophy. The text evolves from courses given by the author in the UK and the United States. It introduces the mathematical properties of nonlinear systems, mostly difference and differential equations, as an integrated theory, rather than presenting isolated fashionable topics. Topics are discussed in as concrete a way as possible and worked examples and problems are used to explain, motivate and illustrate the general principles. The essence of these principles, rather than proof or rigour, is emphasized. More advanced parts of the text are denoted by asterisks, and the mathematical prerequisites are limited to knowledge of linear algebra and advanced calculus, thus making it ideally suited to both senior undergraduates and postgraduates from physics, engineering, chemistry, meteorology etc. as well as mathematics.

Making Your Own Biscotti and Dunking Delights

Dona Z. Meilach
Making Your Own Biscotti and Dunking Delights Book PDF

Author : Dona Z. Meilach
Publisher : Crown
Page : 102 pages
File Size : 54,8 Mb
Release : 1996
Category : Cooking
ISBN : 0517704951

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Making Your Own Biscotti and Dunking Delights by Dona Z. Meilach Pdf

Thanks to biscotti, dunking has become socially acceptable. These long, dry, semihard cookies with curved tops and flat bottoms are especially designed for dunking. Their unique texture and taste are perfect for absorbing coffee, tea, punch, wine, or soup. Biscotti date all the way back to Columbus's time when an Italian baker served them with Tuscan wines. From there the idea spread throughout Italy and nearby countries, and eventually each province became known for a particular flavor of biscotti. Traditionally, biscotti (which means "twice-baked") are almond-flavored, but now they may be chock-full of different nuts, dried fruits, chocolate chips, or trail mix. Their tops or sides may be plain; dusted with sugar and cinnamon; frosted with chocolate, white, or lemon icing; or decorated with sprinkles, baci, or ground or sliced nuts. Biscotti for desserts are sweet, but spicy ones are for polite dunking in soups, appetizer dips, or fondues. They are lean, light, and adaptable to our healthy-eating lifestyles. Their grain base and raisins, nuts, and other ingredients provide energy and nutrition. Making Your Own Biscotti and Dunking Delights has more than fifty, recipes for making delicious, different-flavored biscotti at home. It explains how to make the dough with a spoon, food processor, food mixer, or bread machine. You'll discover easy-to-make toppings and frostings, along with wonderful dipping recipes for appetizers, soups, coffees, ice creams, and more.

Building SimCity

Chaim Gingold
Building SimCity Book PDF

Author : Chaim Gingold
Publisher : MIT Press
Page : 488 pages
File Size : 44,5 Mb
Release : 2024-06-04
Category : Games & Activities
ISBN : 9780262377584

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Building SimCity by Chaim Gingold Pdf

A deep dive into the trailblazing simulation game SimCity, situating it in the history of games, simulation, and computing. Building SimCity explores the history of computer simulation by chronicling one of the most influential simulation games ever made: SimCity. As author Chaim Gingold explains, Will Wright, the visionary designer behind the urban planning game, created SimCity in part to learn about cities, appropriating ideas from traditions in which computers are used as tools for modeling and thinking about the world as a complex system. As such, SimCity is a microcosm of the histories and cultures of computer simulation that engages with questions, themes, and representational techniques that reach back to the earliest computer simulations. Gingold uses SimCity to explore a web of interrelated topics in the history of technology, software, and simulation, taking us far and wide—from the dawn of programmable computers to miniature cities made of construction paper and role-play. An unprecedented history of Maxis, the company founded to bring SimCity to market, the book reveals Maxis’s complex relations with venture capitalists, Nintendo, and the Santa Fe Institute, which shaped the evolution of Will Wright’s career; Maxis’s failure to back The Sims to completion; and the company’s sale to Electronic Arts. A lavishly visual book, Building SimCity boasts a treasure trove of visual matter to help bring its wide-ranging subjects to life, including painstakingly crafted diagrams that explain SimCity’s operation, the Kodachrome photographs taken by Charles Eames of schoolchildren making model cities, and Nintendo’s manga-style “Dr. Wright” character design, just to name a few.

Dynamical Systems and Fractals

Karl-Heinz Becker,Michael Dörfler
Dynamical Systems and Fractals Book PDF

Author : Karl-Heinz Becker,Michael Dörfler
Publisher : Cambridge University Press
Page : 420 pages
File Size : 41,8 Mb
Release : 1989-10-26
Category : Computers
ISBN : 052136910X

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Dynamical Systems and Fractals by Karl-Heinz Becker,Michael Dörfler Pdf

This 1989 book is about chaos, fractals and complex dynamics.