(April 26, 2014 at 9:53 am)thequestion Wrote: People at the time of the compilation had a lot different concerns than including patterns and it would have been difficult to do without a PC.
Einstein managed without a PC and so did the majority of mathematicians who ever lived.
Mathematics In Medieval Islam
Quote:In his A History of Mathematics, Victor Katz says that:[2]
A complete history of mathematics of medieval Islam cannot yet be written, since so many of these Arabic manuscripts lie unstudied... Still, the general outline... is known. In particular, Islamic mathematicians fully developed the decimal place-value number system to include decimal fractions, systematised the study of algebra and began to consider the relationship between algebra and geometry, studied and made advances on the major Greek geometrical treatises of Euclid, Archimedes, and Apollonius, and made significant improvements in plane and spherical geometry.
An important role was played by the translation and study of Greek mathematics, which was the principal route of transmission of these texts to Western Europe. Smith notes:[3]
In a general way it may be said that the Golden Age of Arabian mathematics was confined largely to the 9th and 10th centuries; that the world owes a great debt to Arab scholars for preserving and transmitting to posterity the classics of Greek mathematics; and that their work was chiefly that of transmission, although they developed considerable originality in algebra and showed some genius in their work in trigonometry.
Adolph P. Yushkevich states regarding the role of Islamic mathematics:[4]
The Islamic mathematicians exercised a prolific influence on the development of science in Europe, enriched as much by their own discoveries as those they had inherited by the Greeks, the Indians, the Syrians, the Babylonians, etc.
On to the History Of The Golden Ratio
Quote:The golden ratio has fascinated Western intellectuals of diverse interests for at least 2,400 years. According to Mario Livio:
Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics.[11]
Ancient Greek mathematicians first studied what we now call the golden ratio because of its frequent appearance in geometry.
(April 26, 2014 at 8:55 am)thequestion Wrote: And no, it does not matter that there were other versions of the Quran or that it was complied later.
In that case it would have been possible for mathematicians to create patterns which were included in compilations.
Where are the snake and mushroom smilies?