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Introducing Fractal Geometry epub download

by Ralph Edney,Nigel Lesmoir-Gordon


Nigel Lesmoir-Gordon is a producer of television documentaries. Will Rood studied mathematics at Cambridge University

Nigel Lesmoir-Gordon is a producer of television documentaries. Will Rood studied mathematics at Cambridge University. His fractal animations have graced many television documentaries and his artwork has featured on numerous magazines, posters and CD sleeves. Ralph Edney trained as a mathematician, and has worked as a teacher, journalist, illustrator and political cartoonist.

Fractals are the geometry of the natural world. Introducing Fractals traces the historical development of this mathematical discipline, explores its descriptive powers in the natural world, and then looks at the applications and the implications of the discoveries it has made. They're about the broken, wrinkled, wiggly world- the uneven shapes of nature, unlike the idealised forms of Euclidean geometry. We see fractals everywhere; indeed, we are fractals ourselves. As John Archibald Wheeler, protégé of Niels Bohr, friend of Albert Einstein and mentor of Richard Feynman has said, 'No one will be considered scientifically literate tomorrow, who is not familiar with fractals.

Nigel Lesmoir-Gordon is a producer of television documentaries.

Introducing Fractal Geometry book . About the author Nigel Lesmoir-Gordon is a producer of television documentaries.

NIGEL LESMOIR-GORDON has published poems and short stories in the . His first book was Introducing Fractal Geometry. Edney was trained as a mathematician, and has worked as a teacher, journalist and political cartoonist. He formed his first film production company in 1976, and worked for Donovan, Pink Floyd, 10cc, Joe Cocker, Wings and Leo Sayer. Gordon Films UK was formed in 1995 to produce the award-winning television documentary The Colours of Infinity.

Nigel Lesmoir-Gordon, Will Rood, Ralph Edney. Fractals are the geometry of the natural world. Fractal geometry is an extension of classical geometry which can make precise models of physical structures, from ferns to galaxies. It can describe the shape of a cloud as precisely as an architect can describe a house. Introducing Fractals - Nigel Lesmoir-Gordon.

Brings fractal geometry up to date by gathering the thoughts and .

Brings fractal geometry up to date by gathering the thoughts and enthusiasms of the foremost writers in the field. Nigel Lesmoir-Gordon: Producer and Director of the original documentary, he has been an independent film and documentary maker since the 1960s. He is the co-author of Introducing Fractals with Will Rood and Ralph Edney and is currently investigating the educational applications of fractal geometry.

Introducing Fractal Geometry. Nigel Lesmoir-Gordon, Bill Rood, Ralph Edney. It mirrors the uneven but real shapes of nature, the world as we actually experience it, unlike the idealized forms of Euclidean geometry. Fractal geometry is the geometry of the natural world. Country of Publication.

Fractal geometry is the geometry of the natural world. It mirrors the uneven but real shapes of nature, the world as we actually experience it. Introducing Fractal Geometry traces the development of this revolutionary new discipline.

Introducing Fractal Geometry epub download

ISBN13: 978-1840467130

ISBN: 1840467134

Author: Ralph Edney,Nigel Lesmoir-Gordon

Category: Math and Science

Subcategory: Mathematics

Language: English

Publisher: Totem Books; Third Edition edition (January 26, 2002)

Pages: 176 pages

ePUB size: 1669 kb

FB2 size: 1933 kb

Rating: 4.6

Votes: 101

Other Formats: docx lit mobi rtf

Related to Introducing Fractal Geometry ePub books

Eigonn
I bought this book because I wanted something that would introduce me to the topic, fractal geometry, without overwhelming me with technical jargon, and this book does do that. However, the way in which the book is constructed is quite convoluted. It has illustrations on every page, some of which are left without any description, that may or may not be related to the topic discussed on the page.

The book doesn't progress in terms of chapters, rather sort of chronologically. However, in doing this it just comes off disjointed. The paragraphs are jumpy and disconnected from short telegraphic sentences.
While reading the first 1/3 of the book, I had convinced myself that the book must have been written for an audience much, much younger than I. However, I don't see how that can be logical given the subject material. The latter 2/3 of the book also convinced me otherwise.
So in general, yes, you will learn from this book, provided you are able to follow the progression and are able to correctly interpret the meanings of the diagrams.
Eigonn
I bought this book because I wanted something that would introduce me to the topic, fractal geometry, without overwhelming me with technical jargon, and this book does do that. However, the way in which the book is constructed is quite convoluted. It has illustrations on every page, some of which are left without any description, that may or may not be related to the topic discussed on the page.

The book doesn't progress in terms of chapters, rather sort of chronologically. However, in doing this it just comes off disjointed. The paragraphs are jumpy and disconnected from short telegraphic sentences.
While reading the first 1/3 of the book, I had convinced myself that the book must have been written for an audience much, much younger than I. However, I don't see how that can be logical given the subject material. The latter 2/3 of the book also convinced me otherwise.
So in general, yes, you will learn from this book, provided you are able to follow the progression and are able to correctly interpret the meanings of the diagrams.
Brazil
This book was an excellent introduction to fractals with clear writing and numerous illustrations. I'm ready for the next level!
Brazil
This book was an excellent introduction to fractals with clear writing and numerous illustrations. I'm ready for the next level!
betelgeuze
This is something of a companion volume to Introducing Chaos in the same series , as the topic areas overlap. As such there is a little duplication between the two books, but this one provides a deeper appreciation of fractals themselves and the part they play in the development of chaos theory and more particularly the part they play in creating the world around us.

Following the standard format of the series, the book is a combination of text and cartoon style graphics which help diffuse from the outset the fear of difficulty the subject may present.

The book begins with the startling revelation that since Plato, through Newton and into the modern science of particles and waves, we describe the world through our understanding of regular solid forms. What are called Euclidian shapes such as straight lines, cubes, spheres, triangles, squares etc. This Euclidian world of ideal shapes, though a great aid in simplification to make our modelling of the world manageable, invites us to model a world that doesn't really exist. In the real world we rarely encounter these precise shapes. It is a world that is not naturally straight edged, and instead is fashioned with rough edges. Fractals, the fingerprints of chaos, give us a whole new way of describing, understanding and seeing this rough edged world. Once we can see in this new way we suddenly realise that fractals, and thus chaos, are literally everywhere as part of the building and operating processes of this real universe.

Fractals are within us and surround us. From the structure of our veins and arteries, the design of our lungs, the shaping of our brains and even in the nature of our behaviour. For example the behaviour of crowds of people are described by fractal patterns. These same patterns appear in the structure of rivers, the branches of trees, the nature of snowflakes and the patterns of craters on the moon.

The book helps introduce some of the key ideas of fractal understanding. For example self replication where each part of a fractal captures the essence of the whole, and thus the idea that to understand a part is to understand the totality. As another example it introduces ways in which the roughness of a fractal can be measured and places fractals intriguingly in the space between one and two dimensional objects.

It builds on these ideas by developing some of the resulting consequences. For example the coastline of Britain is a fractal and has a fractal dimension of 1.26. It goes on to illustrate that the measured length of this coastline depends entirely on the length of unit of measurement used. The smaller the unit of measurement, the greater the length, with the consequence that the length of the coastline can't be stated with any certainty and tends towards infinity.

Imagine for example driving around the coastline, compared to walking. When walking you will follow little indentations invisible to the driver. Now imagine the coastline walked by an ant, or the coastline at the atomic level.

The fractal thus becomes a way of seeing infinity.
This idea of uncertainty is a powerful one, and one that is essential for a real understanding of change and in turn calls for us to change our thinking..

For example the book provides an alarming example of uncertainty in the solar system. Whilst Newton was able to describe the nature of gravitation between two bodies, it's simply impossible to calculate the attraction between three or more bodies, a limitation not defined by our cleverness, but the nature of mathematics. In truth nature itself can't predict what happens when three or more bodies interact. This is real chaos - and an interesting subject for thought in a solar system of rather more than three bodies.

This book helps reveal new perspectives on how we can see and understand these real processes. The latter part of the book then explores how some of this understanding is being applied in areas as diverse as medicine, engineering, data compression and earthquake prediction.

As with Introducing Chaos Theory it concludes with intriguing references to the understanding of fractals that appears to be inherent and locked into ancient cultures and beliefs. For example whilst modern buildings rarely stray away from Euclidian cuboid forms, gothic cathedrals and churches are for the most part fractal in design whilst traditional African societies are modelled on fractal forms.

This is an intriguing subject which I am sure has great relevance for the understanding of organisational change. This introductory book will allow you to sample the concepts within a day and who knows where the thoughts it stimulates might lead.
betelgeuze
This is something of a companion volume to Introducing Chaos in the same series , as the topic areas overlap. As such there is a little duplication between the two books, but this one provides a deeper appreciation of fractals themselves and the part they play in the development of chaos theory and more particularly the part they play in creating the world around us.

Following the standard format of the series, the book is a combination of text and cartoon style graphics which help diffuse from the outset the fear of difficulty the subject may present.

The book begins with the startling revelation that since Plato, through Newton and into the modern science of particles and waves, we describe the world through our understanding of regular solid forms. What are called Euclidian shapes such as straight lines, cubes, spheres, triangles, squares etc. This Euclidian world of ideal shapes, though a great aid in simplification to make our modelling of the world manageable, invites us to model a world that doesn't really exist. In the real world we rarely encounter these precise shapes. It is a world that is not naturally straight edged, and instead is fashioned with rough edges. Fractals, the fingerprints of chaos, give us a whole new way of describing, understanding and seeing this rough edged world. Once we can see in this new way we suddenly realise that fractals, and thus chaos, are literally everywhere as part of the building and operating processes of this real universe.

Fractals are within us and surround us. From the structure of our veins and arteries, the design of our lungs, the shaping of our brains and even in the nature of our behaviour. For example the behaviour of crowds of people are described by fractal patterns. These same patterns appear in the structure of rivers, the branches of trees, the nature of snowflakes and the patterns of craters on the moon.

The book helps introduce some of the key ideas of fractal understanding. For example self replication where each part of a fractal captures the essence of the whole, and thus the idea that to understand a part is to understand the totality. As another example it introduces ways in which the roughness of a fractal can be measured and places fractals intriguingly in the space between one and two dimensional objects.

It builds on these ideas by developing some of the resulting consequences. For example the coastline of Britain is a fractal and has a fractal dimension of 1.26. It goes on to illustrate that the measured length of this coastline depends entirely on the length of unit of measurement used. The smaller the unit of measurement, the greater the length, with the consequence that the length of the coastline can't be stated with any certainty and tends towards infinity.

Imagine for example driving around the coastline, compared to walking. When walking you will follow little indentations invisible to the driver. Now imagine the coastline walked by an ant, or the coastline at the atomic level.

The fractal thus becomes a way of seeing infinity.
This idea of uncertainty is a powerful one, and one that is essential for a real understanding of change and in turn calls for us to change our thinking..

For example the book provides an alarming example of uncertainty in the solar system. Whilst Newton was able to describe the nature of gravitation between two bodies, it's simply impossible to calculate the attraction between three or more bodies, a limitation not defined by our cleverness, but the nature of mathematics. In truth nature itself can't predict what happens when three or more bodies interact. This is real chaos - and an interesting subject for thought in a solar system of rather more than three bodies.

This book helps reveal new perspectives on how we can see and understand these real processes. The latter part of the book then explores how some of this understanding is being applied in areas as diverse as medicine, engineering, data compression and earthquake prediction.

As with Introducing Chaos Theory it concludes with intriguing references to the understanding of fractals that appears to be inherent and locked into ancient cultures and beliefs. For example whilst modern buildings rarely stray away from Euclidian cuboid forms, gothic cathedrals and churches are for the most part fractal in design whilst traditional African societies are modelled on fractal forms.

This is an intriguing subject which I am sure has great relevance for the understanding of organisational change. This introductory book will allow you to sample the concepts within a day and who knows where the thoughts it stimulates might lead.
Yellow Judge
This book was very interesting. It takes a look at fractals and their basic geometric properties and gives a fairly extensive history from their discovery to their current use today. This book is not technical at all and could be read by almost anyone. The best part about this book is that it offers numerous reasons for why we should care about fractals in the first place. It offers an argument that nature is naturally based on fractals and that an understanding of fractals is essential to understanding nature. The book has a comic on just about every page making it an enjoyable and quick read.
Some of the not-so-great aspects of the book are that it is almost too short, not quite technical enough, and has grammatical errors all over the place. I read this book in one sitting and it left me wanting to know more. It makes up for this, however, by listing several books about fractals and chaos theory for you to move on to after reading this book as well as telling you the level of expertise one would need to read these other books. The grammatical errors in the book are numerous. It makes me believe that no one proof read this book before it was published.
Overall, this is a great book to start learning about fractals with. If you are a math whiz, then perhaps you might want to look elsewhere for a more formal introduction to the mathematical properties of fractals, but for the layman, this book is great.
Yellow Judge
This book was very interesting. It takes a look at fractals and their basic geometric properties and gives a fairly extensive history from their discovery to their current use today. This book is not technical at all and could be read by almost anyone. The best part about this book is that it offers numerous reasons for why we should care about fractals in the first place. It offers an argument that nature is naturally based on fractals and that an understanding of fractals is essential to understanding nature. The book has a comic on just about every page making it an enjoyable and quick read.
Some of the not-so-great aspects of the book are that it is almost too short, not quite technical enough, and has grammatical errors all over the place. I read this book in one sitting and it left me wanting to know more. It makes up for this, however, by listing several books about fractals and chaos theory for you to move on to after reading this book as well as telling you the level of expertise one would need to read these other books. The grammatical errors in the book are numerous. It makes me believe that no one proof read this book before it was published.
Overall, this is a great book to start learning about fractals with. If you are a math whiz, then perhaps you might want to look elsewhere for a more formal introduction to the mathematical properties of fractals, but for the layman, this book is great.