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Old 2004-10-22, 18:52   #34
mfgoode
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Cool music of the primes

Quote:
Originally Posted by ET_
Sure!

Hans Riesel, "Prime Numbers and Computer methods for Factorization" 2nd edition, Birkhauser.

Birkhauser ISBN: 0-8176-3743-5
Boston-Basel-Berlin ISBN: 3-7643-3743-5


HTH Enjoy it!

Luigi
Thanks once again.
If you google "The Riesel" you will get a very interesting math formula!

Mally
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Old 2004-10-22, 18:57   #35
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Quote:
Originally Posted by ET_
And today I received "the Riesel" from Amazon. I'm so happy!!!
Hi,
I have "Edouard Lucas and Primality Testing" by HC Williams. Very interesting. Did you read it and can compare Riesel to it ?
Thanks,
Tony
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Old 2004-10-22, 21:18   #36
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Quote:
Originally Posted by T.Rex
Hi,
I have "Edouard Lucas and Primality Testing" by HC Williams. Very interesting. Did you read it and can compare Riesel to it ?
Thanks,
Tony
I'm afraid not...
It sounds like a very deep and narrow study on Lucas sequences, while Riesel compares the state of art of factoring and primality checking algorithms, from Eratosthenes' sieve to Numebr field sieve. I (still) did not read it, though it's on my wish list.

I'm sure someone else will compare those two interesting titles.

Luigi

Last fiddled with by ET_ on 2004-10-22 at 21:20
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Old 2004-10-23, 03:27   #37
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Default music of the primes.

Yes; I wd like to read it too.
Devaraj
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Old 2004-10-23, 11:33   #38
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Quote:
Originally Posted by devarajkandadai
Yes; I wd like to read it too.
Devaraj
And I will read "The man who saw the infinity" by Robert Kanigel

Luigi
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Old 2004-11-02, 17:17   #39
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Lightbulb Nicholas Lobatchevsky.


Today we commmemorate the birth of Nocholas Lobatchevsky the father of Non Euclidian Geometry. He was born on Nov 2nd -1793 of Polish parents in Northwest Russia. He was tutored by his mother Prasbowja Ivanova after the death of his father when he was 3yrs old.
In 1809 he was made Kummerstudenten, a honour student in Maths.
He then came under the tutelage of Johann Bartels one of the 1st teachers of Carl Gauss.

For 2000 yrs. mathem'cians had failed to put Euclids parallel axiom on a sounder basis.
In 1825 he had the courage to publish his startling findings that the axiom cannot be proved and made into a theorem.

As the Italian Jesuit Saccheri and the Hungarian noble's son Janos Bolyai he maintained that if the axiom was assumed to be false then either no lines, or more than one line thru a point // to another line could be drawn.
He dropped the 1st assumption due to inconsistencies and favoured the second which had no contradictions.

Thus Non Euclidian Geometry was born. Lobatchevsky's view of geometry as an empirical science has been vindicated in Einsteins theory. But Einstein chose the geometry of Rienmann's-one of the many that sprouted from Lobatchevsky's.

In the course of his life Nicholas received little or no recognition of his epoch making work. It was 10yrs. after his death that the mathem'cians began to recignise his work by the revelation in Gauss's diaries.

On Feb 24th 1856 he died obscurely almost blind and was buried in his newly planted orchard

Source: 'Of Men and Numbers' by Jane Muir.
Mally
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Old 2004-11-02, 23:06   #40
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Accounts seem to differ as to when he was born - see here or here . I was sorely disappointed when I discovered he wasn't a plagiarist!

Dave
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Old 2004-11-03, 05:41   #41
devarajkandadai
 
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Default Nicholas L...ky

It is very interesting; keep it up. Such tit-bits add spice to the study of
Maths.
A.K. Devaraj
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Old 2004-11-03, 08:11   #42
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Quote:
Originally Posted by mfgoode
Today we commmemorate the birth of Nocholas Lobatchevsky the father of Non Euclidian Geometry. He was born on Nov 2nd -1793 of Polish parents in Northwest Russia. He was tutored by his mother Prasbowja Ivanova after the death of his father when he was 3yrs old.
Typical, but ofcourse very common when moving to an other country but the Polish language doesn't have the letter "V" so the name of his polish parents is probaly taken out of russian administration which has indeed the "V" but written differently in the Cyrillic Alphabet.
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Old 2004-11-03, 15:49   #43
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Cool Nicholas.I Lob--sky.

Quote:
Originally Posted by dave_dm
Accounts seem to differ as to when he was born - see here or here . I was sorely disappointed when I discovered he wasn't a plagiarist!

Dave

Thank you Dave for pointing out the discrepancy in birthdates. The websites were excellent and very educational and illuminating.
I referred to author Jane Muir who published in 1961. She in turn had referred to F. Engels in his book 'Zwei geometrische-------] published in 1899. He lived in the same century as Lob'sky. He probably was his contemporary.

Kindly note botXXX that he spells the name as LOBATSCHEFSKIJ . How does that rate in the Cyrillic alphabet?

Mally.
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Old 2004-12-16, 10:05   #44
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Default Maths Musings - IV

Maths Conferences In India & Abroad
-------- ------- --------

There is a vast difference between Maths Conferences in India and those
conducted abroad.

I have just returned from one held in S. India. I had attended one in
Belgium in '96.

In India there is someone to receive you at the airport or Rly Stn. You
are conducted to the venue. Boarding and lodging are free (sponsors
take care of these}.You feel welcome. All the facilities such as
Xeroxing, Internet connections, computing etc are free.

My experience abroad: No one comes to receive you at the Stn. Of
course they give you proper directions as to how to reach the hotel and from
the hotel to the venue.But for everything, even for the coffee during
coffee -breaks, you are required to pay although the list of sponsors
is big. The welcome abroad is COLD.

A.K. Devaraj
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