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Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. This accessible book summarizes the present knowledge about the computational properties of Julia sets in a self-contained way.

• Sales Rank: #9482278 in Books
• Published on: 2010-11-22
• Released on: 2010-11-22
• Original language: English
• Number of items: 1
• Dimensions: 9.00" h x .38" w x 6.00" l, .54 pounds
• Binding: Paperback
• 151 pages

Review

From the reviews:

“The study of dynamical systems has at its core … a very computational feel. … One can feel the book trying to be self-contained … . The subject of the book is timely and important. … The questions posed and answered in the present book are natural and the approach well-suited to produce enlightening results. … The book is also generous … . It has the potential to inspire considerable future work in this intriguing field.” (Wesley Calvert, SIGACT News, Vol. 41 (1), 2010)

“Written in an accessible way with many explications, examples and illustrations. … this book sees the meeting of two worlds: computability theory and iteration of rational maps. It is a fruitful one … and a share of surprises. It is also a compendium of several years of research by the authors … together with a lot of new results. … a nice and quick introduction to both topics, and much of it is pleasant to read … . includes interesting discussions and presents stimulating conjectures.” (Arnaud Chéritat, Foundations of Computational Mathematics, Vol. 12, 2012)

From the Back Cover

Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. Their beauty and complexity can be fascinating. They also hold a deep mathematical content.

Computational hardness of Julia sets is the main subject of this book. By definition, a computable set in the plane can be visualized on a computer screen with an arbitrarily high magnification. There are countless programs to draw Julia sets. Yet, as the authors have discovered, it is possible to constructively produce examples of quadratic polynomials, whose Julia sets are not computable. This result is striking - it says that while a dynamical system can be described numerically with an arbitrary precision, the picture of the dynamics cannot be visualized.

The book summarizes the present knowledge about the computational properties of Julia sets in a self-contained way. It is accessible to experts and students with interest in theoretical computer science or dynamical systems.

About the Author

M. Braverman is an expert in Theoretical Computer Science, particularly in applications of computability to Complex Analysis and Dynamical Systems

M. Yampolsky is an expert in Dynamical Systems, particularly in Holomorphic Dynamics and Renormalization Theory

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0 of 1 people found the following review helpful.
I should have checked it out of the library instead of buying it
By Roger Bagula
I bought this book because some programs for Julia sets on the internet
are under Mark Braverman's name.
I hate wasting money on books so I have been studying this one carefully.
These fellows mention Cremer points without ever talking about Schröder's equation.
If there was one piece of new material or anything that could be remotely considered original here,
I have sure missed it. I gave Carlson's Complex Dynamics (Universitext / Universitext: Tracts in Mathematics) a bad review for being very hard to read, so this less worthy effort
should get less as a book on computability that offers no programs or algorithms for such
that I can detect. Even the references seem to be sterile.
So buy Carlson's book or the Universal Mandelbrot Set: Beginning of the Story
,but check this one out from the library and don't buy it. I keep wondering how
these guys persuaded this company to publish this book?
...............................................................
I'm adding this after doing some web research: I was really curious about this book.
It seems the authors wrote a paper first about "uncomputable Julia sets": that is
when trying to compute z^2+c for a constant c the program on a Turing machine never stops.
So I naturally look under Chaitin in the index: just like
Schröder before, they have omitted him, even though they use
a 2^n "oracle" Turing machine. Essentially the argument seems to be that
for certain sets their is a never ending sequence that can't be found
as a limiting case. So that is why they got the book published.
Since most algorithms for computing Julia sets have Fatou plateaus
and it has been long known the Siegel disk plateau near the center of the Mandelbrot set
is a "pole", but that the pole Abs[f[z,n]-f[z,n-1]]->0. The values
of the plateau near the border set are what seems to be in question.
Still not worth the price of this book...

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[Y952.Ebook] Ebook Wilfred Owen: An Illustrated Life, by Janet Potter

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Wilfred Owen is the “Poet of Pity,” whose realistic portrayals of war gave voice to the soldier wounded, captured, or killed—not just in the Great War but in every war since, so great is the evocative power of his work. Although he saw only five poems published during his lifetime, Owen left behind a wealth of letters and poetry that together form a powerful legacy.
           
This generously illustrated book tells the story of Owen’s life and work, from his birth in 1893 to his tragic death just one week before the signing of the armistice that would end the war. The shocking realism of poems such as “Strange Meeting” and the angry disillusionment of “Anthem for Doomed Youth” reveal Owen’s transformation from a romantic youth steeped in the poetry of Keats to a mature soldier awakened to the horrors of the Western Front.
           
Drawing on numerous manuscripts, artifacts, and family photographs, this book gives a comprehensive view of the relationship between the poet’s lived experience and his writing that will appeal equally to both those well-versed in Owen’s work and those seeking a well-researched, accessible introduction.

• Sales Rank: #1459467 in Books
• Published on: 2014-09-15
• Original language: English
• Number of items: 1
• Dimensions: 8.00" h x .70" w x 6.00" l, .0 pounds
• Binding: Hardcover
• 144 pages

Review
“A visually stunning book. . . . In Wilfred Owen: An Illustrated Life, Potter pairs an in-depth biography alongside integrated photographic and archival material, much of which has never been in print. This slim but versatile book would serve well as an introduction to Owen for undergraduates as well as a selective resource for academics interested in the poet’s life and writing process.” (ELT Journal 2015-12-15)

About the Author
Jane Potter is a senior lecturer in the School of Arts at Oxford Brookes University. She is the author of Boys in Khaki, Girls in Print: Women’s Literary Responses to the Great War, 1914–1918.

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2 of 2 people found the following review helpful.
And bugles caling them from sad shires
By Glynn Young
In September, the Bodleian Library, Oxford published “Wilfred Owen: An Illustrated Life” by Jane Potter. Owen (1893-1918) has been the subject of `six recent biographies (not to mention others less recent). With Rupert Brooke, Owen is at the front of the line of the groups known collectively as the “World War I poets.” He is one of 16 World War I poets commemorated with a memorial stone in Westminster Abbey.

Potter’s illustrated history of his life is deceptively simple looking, almost like the kind of biography you might find in a middle school library. But it is carefully crafted, extraordinarily well researched, and engagingly written, drawing upon the extensive correspondence he maintained with his mother, his poetry, and a considerable number of sources and photographs from the English Language Faculty at Oxford.

The oldest of four children, he was the son of a railway clerk who had dreamed of settling in India and a mother who was decidedly evangelical. As he matured, he was undecided (or indecisive) about a profession or line of work, until the war intervened. He also had been writing poetry.

Owen didn’t enlist in the British Army until 1915. In 1917, suffering from what was then called shell shock (and what we today call Post-Traumatic-Stress Disorder, or PTSD), he was sent to Craiglockhart, a hospital in Scotland specializing in shell shock cases. There he met Siegfried Sassoon, who had been sent to the hospital for a very different reason – to avoid a court-martial for a letter he wrote opposing the war (I posted an article on Sassoon’s The War Poems this week at Tweetspeak Poetry).

The friendship with Sassoon was pivotal for Owen’s poetry. Manuscripts of his poems with Sassoon’s emendations still exist (one is on display at the Imperial War Museum). His poetry changed and grew. It began to be noticed, and published.

Potter walks us through each phase of Owen’s short life, using pictures of childhood, family, friends and the military. Each section includes his poems at the end, adding a poignancy to the text. You look at the pictures of the young, the hope and expectancy in his face, and read his poems, and in a few short pages see a life of promise cut short.

One of his best known poems is this one:

Anthem for Doomed Youth

What passing-bells for these who die as cattle?
— Only the monstrous anger of the guns.
Only the stuttering rifles' rapid rattle
Can patter out their hasty orisons.
No mockeries now for them; no prayers nor bells;
Nor any voice of mourning save the choirs,—
The shrill, demented choirs of wailing shells;
And bugles calling for them from sad shires.

What candles may be held to speed them all?
Not in the hands of boys, but in their eyes
Shall shine the holy glimmers of goodbyes.
The pallor of girls' brows shall be their pall;
Their flowers the tenderness of patient minds,
And each slow dusk a drawing-down of blinds.

Owen almost survived the war. On Nov. 4, 1918, he was shot and killed by enemy fire alongside a canal. A week later, on Armistice Day, his parents were informed of his death.

And bugles calling for them from sad shires.

2 of 2 people found the following review helpful.
Owen is my favorite WW1 poet - I have most of his books ...
By benjamin trowbridge
Owen is my favorite WW1 poet - I have most of his books and was delighted when this was released. It s a beautiful little book -
but the content is a real disappointment - a rehash -poorley written - his gayness totally ignored. Sorry….

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• Sales Rank: #7237143 in Books
• Binding: Paperback

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• Published on: 2000
• Binding: Hardcover

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0 of 0 people found the following review helpful.
BooK Description - A BEND IN THE RIVER
By Elyn
From Amazon's main listing page:

"Book Description
Publication Date: June 1992
'Brilliant and terrifying' - "Observer". I had to be the man who was doing well and more than well, the man whose drab shop concealed some bigger operation that made millions. I had to be the man who had planned it all, who had come to the destroyed town at the bend in the river because he had foreseen the rich future. 'Salim, the narrator, is a young man from an Indian family of traders long resident on the coast of Central Africa. Salim has left the coast to make his way in the interior, there to take on a small trading shop of this and that, sundries, sold to the natives. The place is 'a bend in the river'; it is Africa. The time is post-colonial, the time of Independence. The Europeans have withdrawn or been forced to withdraw and the scene is one of chaos, violent change, warring tribes, ignorance, isolation, poverty and a lack of preparation for the modern world they have entered, or partially assumed as a sort of decoration. It is a story of historical upheaval and social breakdown. Naipaul has fashioned a work of intense imaginative force. It is a haunting creation, rich with incident and human bafflement, played out in an immense detail of landscape rendered with a poignant brilliance' - Elizabeth Hardwick.

'Always a master of fictional landscape, Naipaul here shows, in his variety of human examples and in his search for underlying social causes, a Tolstoyan spirit' - John Updike."

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[P329.Ebook] PDF Download A Bend in the River, by V.S. Naipaul Doc

[P329.Ebook] PDF Download A Bend in the River, by V.S. Naipaul Doc

[P329.Ebook] PDF Download A Bend in the River, by V.S. Naipaul Doc