Friday 1 February 2013

Day .27- JAWAHARLAL NEHRU - The Discovery of India (Continued)



The Influence of Indian Art Abroad
These records of ancient empires and dynasties have an interest for the antiquarian, but they have a large interest in the history of civilization and art. From the point of view of India they are particularly important, for it was India that functioned there and exhibited her vitality and genius in a variety of ways. We see her bubbling over with energy and spreading out far and wide, carrying not only her thought but her other ideals, her art, her trade, her language and literature, and her methods of government. She was not stagnant, or standing aloof, or isolated and cut off by mountain and sea. Her people crossed those high mountain barriers and perilous seas and built up, as M.Grousset says, 'a Greater India politically as little organized as Greater Greece, but morally equally harmonious.' As a matter of fact even the political organization of these Malayasian states was of a high order, though it was not part of the Indian political structure. But M. Grousset refers to the wider areas where Indian culture spread: 'In the high plateau of eastern Iran, in the oasis of Serindia, in the arid wastes of Tibet, Mongolia, and Manchuria, in the ancient civilized lands of China and Japan, in the lands of the primitive Mons and Khmers and other tribes in Indo-China, in the countries of the Malayo-Polynesians, in Indonesia and Malay, India left the indelible impress of her- high culture, not only upon religion, but also upon art and literature, in a word, all the higher things of spirit (Civilizations of the East' by Rini Grousset, Volume II, p. 276).
Indian civilization took root especially in the countries of south-east Asia and the evidence for this can be found all over the place to-day. There were great centres of Sanskrit learning in Champa, Angkor, Srivijaya, Majapahit, and other places. The names of the rulers of the various states and empires that arose are purely Indian and Sanskrit. This does not mean that they were pure Indian, but it does mean that they were Indianized. State ceremonies were Indian and conducted in Sanskrit. All the officers of the state bear old Sanskrit titles and some of these titles and designations have been continued up till now, not only in Thailand but in the Moslem states of Malaya. The old literatures of these places in Indonesia are full of Indian myth and legend. The famous dances of Java and Bali derive from India. The little island of Bali has indeed largely maintained its old Indian culture down to modern times and even Hinduism has persisted there. The art of writing went to the Philippines from India.
In Cambodia the alphabet is derived from South India and numerous Sanskrit words have been taken over with minor variations. The civil and criminal law is based on the Laws of Manu, the ancient law-giver of India, and this has been codified, with variations due to Buddhist influence, in modern Cambodian legislation [*A. Leclire, 'Recherches sur les origines brahmaniques des lois Cambodgiennes' quoted in B. R. Chatterji's 'Indian Cultural Influence in Cambodia' (Calcutta, 1928).These extracts have been taken from Osbert Sitwell's'Escape with Me—An Oriental Sketch Book' {1941)].  
But above all else it is in the magnificent art and architecture of these old Indian colonies that the Indian influence is most marked. The original impulse was modified, adapted, and fused with the genius of the place and out of this fusion arose the monuments and wonderful temples of Angkor and Borobudur. At Borobudur in Java.the whole life story of Buddha is carved in stone. At other places bas-reliefs reproduce the legends of Vishnu and Rama and Krishna. Of Angkor, Mr. Osbert Sitwell has written: 'Let it be said immediately that Angkor, as it stands, ranks as chief wonder of the world to-day, one of the summits to which human genius has aspired in stone, infinitely more impressive, lovely and, as well, romantic, than anything that can be seen in China... .The material remains of a civilization that flashed its wings, of the utmost brilliance, for six centuries, and then perished so utterly that even his name has died from the lips of man.
Round the great temple of Angkor Vat is a vast area of mighty ruins with artificial lakes and pools, and canals and bridges over them, and a great gate dominated by 'a vast sculptured head, a lovely, smiling but enigmatic Cambodian face, though one raised to the power and beauty of a god.' The face with its strangely fascinating and disturbing smile—the 'Angkor smile'—is repeated again and again. This gate leads to the temple: 'the neighboring Bayon can be said to be the most imaginative and singular in the world, more lovely than Angkor Vat, because more unearthly in its conception, a temple from a city in some other distant planet . . . . imbued with the same elusive beauty that often lives between the lines of a great poem.
The inspiration for Angkor came from India but it was the Khmer genius that developed it, or the two fused together and produced this wonder. The Cambodian king who is said to have built this great temple is named Jayavarman VII, a typical Indian name.
Dr. Quaritch Wales says that 'when the guiding hand of India was removed, her inspiration was not forgotten, but the Khmer genius was released to mould from it vast new conceptions of amazing vitality different from, and hence not properly to be compared with anything matured in a purely Indian environment .... It is true that Khmer culture is essentially based on the inspiration of India, without which the Khmers at best might have produced nothing greater than the barbaric splendor of the Central American Mayas; but it must be admitted that here, more than anywhere else in Greater India, this inspiration fell on fertile soil [From 'Towards Angkor' by Dr. H. G. Quaritch Wales (Harrap, 1933)].
This leads one to think that in India itself that original inspiration gradually faded because the mind and the soil became over-worked and undernourished for lack of fresh currents and ideas. So long as India kept her mind open and gave of her riches to others, and received from them what she lacked, she remained fresh and strong and vital. But the more she withdrew into her shell, intent on preserving herself, uncontaminated by external influences, the more she lost that inspiration and her life became increasingly a dull round of meaningless activities all centered in the dead past. Losing the art of creating beauty, her children lost even the capacity to recognize it.
It is to European scholars and archaeologists that the excavations and discoveries in Java, Angkor and elsewhere in Greater India are due, more especially to French and Dutch scholars. Great cities and monuments probably still lie buried there awaiting discovery. Meanwhile it is said that important sites in Malaya containing ancient ruins have been destroyed by mining operations or for obtaining material for building roads. The war will no doubt add to this destruction.
Some years ago I had a letter from a Taai (Siamese) student who had come to Tagore's Shanti Niketan and was returning to Thailand. He wrote: 'I always consider myself exceptionally fortunate in being able to come to this great and ancient land of Aryavarta and to pay my humble homage at the feet of grandmother India in whose affectionate arms my mother country was so lovingly brought up and taught to appreciate and love what was sublime and beautiful in culture and religion.' This may not be typical, but it does convey some idea of the general feeling towards India which, though vague and overladen with much else, still continues in many of the countries of South-East Asia. Everywhere an intense and narrow nationalism has grown, looking to itself and distrustful of others; there is fear and hatred of European domination and yet a desire to emulate Europe and America; there is often some contempt for India because of her dependent condition; and yet behind all this there is a feeling of respect and friendship for India, for old memories endure and people have not forgotten that there was a time when India was a mother country to these and nourished them with rich fare from her own treasure-house. Just as Hellenism spread from Greece to the countries of the Mediterranean and in Western Asia, India's cultural influence spread to many countries and left its powerful impress upon them.
'From Persia to the Chinese Sea,' writes Sylvain L6vi, 'from the icy regions of Siberia to the islands of Java and Borneo, from Oceania to Socotra, India has propagated her beliefs, her tales and her civilization. She has left indelible imprints on one-fourth of the human race in the course of a long succession of centuries. She has the right to reclaim in universal history the rank that ignorance has refused her for a long time and to hold her place amongst the great nations summarizing and symbolizing the spirit of Humanity [* Quoted in V. N. Ghosal's 'Progress of Greater Indian Research, 1917-1942' {Calcutta, 1943).From Foreword to Reginald Le May's 'Buddhist Art in Siam' {Cambridge, 1938), quoted by Ghosal in 'Progress of Greater Indian Research' {Calcutta, 1943)].

Old Indian Art
The amazing expansion of Indian culture and art to other countries has led to some of the finest expressions of this art being found outside India. Unfortunately many of our old monuments and sculptures, especially in northern India, have been destroyed in the course of ages. 'To know Indian art in India alone,' says Sir John Marshall, 'is to know but half its story. To apprehend it to the full, we must follow it in the wake of Buddhism, to central Asia, China, and Japan; we must watch it assuming new forms and breaking into new beauties as it spreads over Tibet and Burma and Siam; we must gaze in awe at the unexampled grandeur of its creations in Cambodia and Java. In each of these countries, Indian art encounters a different racial genius, a different local environment, and under their modifying influence it takes on a different garb.
Indian art is so intimately associated with Indian religion and philosophy that it is difficult to appreciate it fully unless one has some knowledge of the ideals that governed the Indian mind. In art, as in music, there is a gulf which separates eastern from western conceptions. Probably the great artists and builders of the middle ages in Europe would have felt more in tune with Indian art and sculpture than modern European artists who derive part of their inspiration at least from the Renaissance period and after. For in Indian art there is always a religious urge, a looking beyond, such as probably inspired the builders of the great cathedrals of Europe. Beauty is conceived as subjective, not objective; it is a thing of the spirit, though it may also take lovely shape in form or matter. The Greeks loved beauty for its own sake and found not only joy but truth in it; the ancient Indians loved beauty also but always they sought to put some deeper significance in their work, some vision of the inner truth as they saw it. In the supreme examples of their creative work they extort admiration, even though one may not understand what they were aiming at or the ideas that governed them. In lesser example::, this lack of understanding, of not being in tune with the artist's mind, becomes a bar to appreciation. There is a vague feeling of discomfort, even of irritation, at something one cannot grasp, and this leads to the conclusion that the artist did not know his job and has failed. Sometimes there is even a feeling of repulsion.
I know nothing about art, eastern or western, and am not competent to say anything about it. I react to it as any untutored layman might do. Some painting or sculpture or building fills me with delight, or moves me and makes me feel a strange emotion; or it just pleases me a little; or it does not affect me at all and I pass it by almost unnoticed; or it repels me. I cannot explain these reactions or speak learnedly about the merits or demerits of works of art. The Buddha statue at Anuradhapura in Ceylon moved me greatly and a picture of it has been my companion for many years. On the other hand some famous temples in South India, heavy with carving and detail, disturb me and fill me with unease.
Europeans, trained in the Greek tradition, at first examined Indian art from the Grecian point of view. They recognized something they knew in the Graeco-Buddhist art of Gandhara and the Frontier and considered other forms in India as degraded types of this. Gradually a new approach was made and it was pointed out that Indian art was something original and vital and in no way derived from this Graeco-Buddhist art, which was a pale reflection of it. This new approach came more from the Continent of Europe than from England. It is curious that Indian art, and this applies to Sanskrit literature also, has been more appreciated on the Continent than in England. I have often wondered how far this has been conditioned by the unfortunate political relation-ship existing between India and England. Probably there is something in that, though there must be other and more basic causes of difference also. There are of course many Englishmen, artists and scholars and others, who have come near to the spirit and outlook of India and helped to discover our old treasures and interpret them to the world. There are many also to whom India is grateful for their warm friendship and service. Yet the fact remains that there is a gulf, and an ever-widening gulf, between Indians and Englishmen. On the Indian side this is easier to understand, at any rate for me, for a great deal has happened in recent years that has cut deep into our souls. On the other side perhaps some similar reactions have taken place for different reasons; among them, anger at being put in the wrong before the world when, according to them, the fault was not theirs. But the feeling is deeper than politics and it comes out unawares, and most of all it seems to affect English intellectuals. The Indian, to them, appears to be a special manifestation of original sin and all his works bear this mark. A popular English author, though hardly representative of English thought or intelligence, has recently written a book which is full of a malicious hatred and disgust for almost everything Indian. A more eminent and representative English author, Mr. Osbert Sitwell says in his book 'Escape With Me' (1941) that 'the idea of India, despite its manifold and diverse marvels, continued to be repellent.' He refers also to 'that repulsive, greasy quality that so often mars Hindu works of art.'
Mr. Sitwell is perfectly justified in holding those opinions about Indian art or India generally. I am sure he feels that way. I am myself repelled by much in India but I do not feel that way about India as a whole. Naturally, for I am an Indian and I cannot easily hate myself, however unworthy I may be. But it is not a question of opinions or views on art; it is much more a conscious and subconscious dislike and unfriendliness to a whole people. Is it true that those whom we have injured, we dislike and hate?
Among the Englishmen who have appreciated Indian art and applied new standards of judgment to it have been Lawrence Binyon and E. B. Havell. Havell is particularly enthusiastic about the ideals of Indian art and the spirit underlying them. He emphasizes that a great national art affords an intimate revelation of national thought and character, but it is only to be appreciated if the ideals behind it are understood. An alien governing race misapprehending and depreciating those ideals sows the seeds of intellectual antipathy. Indian art, he says, was not addressed to a narrow coterie of literati. Its intention was to make the central ideas of religion and philosophy intelligible to the masses. 'That Hindu art was successful in its educational purpose may be inferred from the fact, known to all who have intimate acquaintance with Indian life, that the Indian peasantry, though illiterate in the western sense, are among the most cultured of their class anywhere in the world [£. B. Havell: 'The Ideals of Indian Art' {1920), p. xix] .
In art, as in Sanskrit poetry and Indian music, the artist was supposed to identify himself with nature in all her moods, to express the essential harmony .of man with nature and the uni-verse. That has been the keynote of all Asiatic art and it is because of this that there is a certain unity about the art of Asia, in spite of its great variety and the national differences that are so evi-dent. There is not much of old painting in India, except for the
lovely frescoes of Ajanta. Perhaps much of it has perished. It was in her sculpture and architecture that India stood out, just as China and Japan excelled in painting.
Indian music, which is so different from European music, was highly developed in its own way and India stood out in this respect and influenced Asiatic music considerably, except for China and the Far East. Music thus became another link with Persia, Afghanistan, Arabia,Turkestan and, to some extent, in other areas where Arab civilization flourished, for instance, North Africa. Indian classical music will probably be appreciated in all these countries.
An important influence in the development of art in India, as elsewhere in Asia, was the religious prejudice against graven images. The Vedas were against image worship and it was only at a comparatively late period in Buddhism that Buddha's person was represented in sculpture and painting. In the Mathura museum there is a huge stone figure of the Bodhisattva which is full of strength and power. This belongs to the Kushan period about the beginning of the Christian era.
The early period of Indian art is full of a naturalism which may partly be due to Chinese influences. Chinese influence is visible at various stages of Indian art history, chiefly in the development of this naturalism, just as Indian idealism went to China and Japan and powerfully influenced them during some of their great periods.
During the Gupta period, fourth to sixth centuries A.C., the Golden Age of India as it is called, the caves of Ajanta were dug out and the frescoes painted. Bagh and Badami are also of this period. The Ajanta frescoes, very beautiful though they are, have, ever since their discovery, exercised a powerful influence on our present-day artists, who have turned away from life and sought to model their style on that of Ajanta, with unhappy results.
Ajanta takes one back into some distant dream-like and yet very real world. These frescoes were painted by the Buddhist monks. Keep away from women, do not even look at them, for they are dangerous, has said their Master long ago. And yet we have here women in plenty, beautiful women, princesses, singers, dancers, seated and standing, beautifying themselves, or in procession. The women of Ajanta had become famous. How well those painter-monks must have known the world and the moving drama of life, how lovingly they have painted it, just as they have painted the Boddhisattva in his calm and other-worldly majesty.

In the seventh and eighth centuries the mighty caves of Ellora were carved out of solid rock with the stupendous Kailasa temple in the centre; it is difficult to imagine how human beings conceived this or, having conceived it, gave body and shape to their conception. The caves of Elephanta, with the powerful and subtle Trimurti, date also from this period. Also the group of monuments at Mallapuram in South India.
In the Elephanta caves there is a broken statue of Shiva Nataraja, Shiva dancing. Even in its mutilated condition, Havell says that it is a majestic conception and an embodiment of titanic power. 'Though the rock itself seems to vibrate with the rhythmic movement of the dance, the noble head bears the same look of serene calm and dispassion which illuminate the face of the Buddha.'
There is another Shiva Nataraja in the British Museum and of this Epstein has written: 'Shiva dances, creating the world and destroying it, his large rhythms conjure up vast aeons of time, and his movements have a relentless magical power of incantation. A small group of the British Museum is the most tragic summing up of the death in love motive ever seen, and it epitomises, as no other work, the fatal element in human passion. Our European allegories are banal and pointless by comparison with these profound works, devoid of the trappings of symbolism, concentrating on the essential, the essentially plastic [Epstein: 'Let There be Sculpture' (1942), p. 193.  Havell: 'The Ideals of Indian Art' (1920), p. 169.]
There is a head of a Bodhisattva from Borobudur in Java which has been taken to the Glyptotek in Copenhagen. It is beautiful, in the sense of formal beauty, but, as Havell says, there is some-thing deeper in it revealing, as in a mirror, the pure soul of the Bodhisattva. 'It is a face which incarnates the stillness of the depths of the ocean; the serenity of an azure, cloudless sky; a beatitude beyond moral ken.'
'Indian art in Java,' adds Havell, 'has a character of its own which distinguishes it from that of the continent from whence it came. There runs through both the same strain of deep serenity, but in the divine ideal of Java we lose the austere feeling which characterises the Hindu sculpture of Elephanta and Mamallapuram. There is more of human contentment and joy in Indo-Javanese art, an expression of that peaceful security which the Indian colonists enjoyed in their happy island home, after the centuries of storm and struggle which their forefathers had experienced on the mainland.

India's Foreign Trade
Throughout the first millennium of the Christian era, India's trade was widespread and Indian merchants controlled many  foreign markets. It was dominant in the eastern seas and it reached out also to the Mediterranean. Pepper and other spices went from India or via India to the west, often on Indian and Chinese bottoms, and it is said that Alaric the Goth took away 3,000 pounds of pepper from Rome. Roman writers bemoaned the fact that gold flowed from Rome to India and the east in exchange for various luxury articles.
This trade was largely, in India as elsewhere at the time, one of give and take of materials found and developed locally. India was a fertile land and rich in some of the materials that other countries lacked, and the seas being open to her she sent these materials abroad. She also obtained them from the eastern islands and profited as a merchant carrier. But she had further advantages. She had been manufacturing cloth from the earliest ages, long before other countries did so, and a textile industry had developed. Indian textiles went to far countries. Silk was also made from very early times though probably it was not nearly as good as Chinese silk, which began to be imported as early as the fourth century B.C. The Indian silk industry may have developed subsequently, though it does not seem to have gone far. An important advance was made in the dyeing of cloth and special methods were discovered for the preparation of fast dyes. Among these was indigo, a word derived from India through Greece. It was probably this knowledge of dyeing that gave a great impetus to India's trade with foreign countries.
Chemistry in India in the early centuries A.C. was probably more advanced than in other countries. I do not know much about it but there is a 'History of Hindu Chemistry' written by the doyen of Indian chemists and scientists, Sir P. C. Ray, who trained several generations of Indian scientists. Chemistry then was closely allied to alchemy and metallurgy. A famous Indian chemist and metallurgist was named Nagarjuna, and the similarity of the names has led some people to suggest that he was the same person as the great philosopher of the first century A.C. But this is very doubtful.
The tempering of steel was known early in India, and Indian steel and iron were valued abroad, especially for war like purposes. Many other metals were known and used and preparations of metallic compounds were made for medicinal purposes. Distillation and calcination were well-known. The science of medicine was fairly well developed. Though based mainly on the old text books, considerable experimental progress was made right up to the medieval period. Anatomy and physiology were studied and the circulation of the blood was suggested long before Harvey.Astronomy, oldest of sciences, was a regular subject of the university curriculum and with it was mixed up astrology. A very accurate calendar was worked out and this calendar is still in popular use. It is a solar calendar having lunar months, which leads to periodical adjustments. As elsewhere, the priests, or Brahmins, were especially concerned with this calendar and they fixed the seasonal festivals as well as indicated the exact time of the eclipses of the sun and moon, which were also in the nature of festivals. They took advantage of this knowledge to encourage among the masses beliefs and observances, which they must have known to be superstitious, and thus added to their own prestige. A knowledge of astronomy, in its practical aspects, was of great help to the people who went on the seas. The ancient Indians were rather proud of the advances they had made in astronomical knowledge. They had contacts with Arab astronomy, which was largely based on Alexandria.
It is difficult to say how far mechanical appliances had developed then, but shipbuilding was a flourishing industry and there is frequent reference to various kinds of 'machines,' especially for purposes of war. This has led some enthusiastic and rather credulous Indians to imagine all kinds of complicated machines. It does seem, however, that India at that time was not behind any country in the making and use of tools and in the knowledge of chemistry and metallurgy. It was this that gave her an advantage in trade and enabled her for several centuries to control a number of foreign markets.
Possibly she had one other advantage also—the absence of slave-labour, which handicapped Greek and other early civilizations and came in the way of their progress. The caste system, with all its evils, which progressively increased, was infinitely better than slavery even for those lowest in the scale. Within each caste there was equality and a measure of freedom; each caste was occupational and applied itself to its own particular work. This led to a high degree of specialization and skill in handicrafts and craftsmanship.

Mathematics in Ancient India
Highly intellectual and given to abstract thinking as they were, one would expect the ancient Indians to excel in mathematics. Europe got its early arithmetic and algebra from the Arabs— hence the 'Arabic numerals'—but the Arabs themselves had previously taken them from India. The astonishing progress that the Indians had made in mathematics is now well known and it is recognized that the foundations of modern arithmetic and algebra were laid long ago in India. The clumsy method of using a counting frame and the use of Roman and such like numerals had long retarded progress when the ten Indian numerals, including the zero sign, liberated the human mind from these restrictions and threw a flood of light on the behavior of numbers. These number symbols were unique and entirely different from all other symbols that had been in use in other countries. They are common enough to-day and we take them for granted, yet they contained the germs of revolutionary progress in them. It took many centuries for them to travel from India, via Baghdad, to the western world.
A hundred and fifty years ago, during Napoleon's time, La Place wrote: 'It is India that gave us the ingenious method of expressing all numbers by means of ten symbols, each symbol receiving a value of position, as well as an absolute value; a pro-found and important idea which appears so simple to us now that we ignore its true merit, but its very simplicity, the great ease which it has lent to all computations, puts our arithmetic in the first rank of useful inventions; and we shall appreciate the gran-deur of this achievement when we remember that it escaped the genius of Archimedes and Apollonius, two of the greatest men produced by antiquity [Quoted in Hogben's 'Mathematics for the Million', (London, 1942).tG. B. Halsted: 'On the Foundation and Technique of Arithmetic', p. 20 (Chicago, 1912), quoted in 'History of Hindu Mathematics' by B. Datta and A. TV. Singh {1935]).
The origins of geometry, arithmetic, and algebra in India go back to remote periods. Probably to begin with there was some kind of geometrical algebra used for making figures for Vedic altars. Mention is made in the most ancient books of the geometrical method for the transformation of a square into a rectangle having a given side: ax = c. Geometrical figures are even now commonly used in Hindu ceremonies. Geometry made progress in India but in this respect Greece and Alexandria went ahead. It was in arithmetic and algebra that India kept the lead. The inventor or inventors of the decimal place-value system and the zero mark are not known. The earliest use of the zero symbol, so far discovered, is in one of the scriptural books dated about 200 B.C. It is considered probable that the place-value system was invented about the beginning of the Christian era. The zero, called shunya or nothing, was originally a dot and later it became a small circle. It was considered a number like any other. Professor Halsted thus emphasizes the vital significance of this invention: 'The importance of the creation of the zero mark can never be exaggerated. This giving to airy nothing, not merely a local habitation and a name, a picture, a symbol but helpful power, is the characteristic of the Hindu race from whence it sprang. It is like coining the Nirvana into dynamos. No single mathematical creation has been more potent for the general on-go of intelligence and power. Yet another modern mathematician has grown eloquent over this historic event. Dantzig in his 'Number' writes: 'This long period of nearly five thousand years saw the rise and fall of many a civilization, each leaving behind it a heritage of literature, art, philosophy, and religion. But what was the net achievement in the field of reckoning, the earliest art practiced by man? An inflexible numeration so crude as to make progress well nigh impossible, and a calculating device so limited in scope that even elementary calculations called for the services of an ex pert . . . . Man used these devices for thousands of years without making a single worthwhile improvement in the instrument, without contributing a single important idea to the system.... Even when compared with the slow growth of ideas during the dark ages, the history of reckoning presents a peculiar picture of desolate stagnation. When viewed in this light the achievements of the unknown Hindu, who sometime in the first centuries of our era discovered the principle of position, assumes the importance of a world event [Quoted in L. Hogben's 'Mathematics for the Million', (London, 1942). Hogben: 'Mathematics for the Million', (London, 1942), p. 285.*
Dantzig is puzzled at the fact that the great mathematicians of Greece did not stumble on this discovery. 'Is it that the Greeks had such a marked contempt for applied science, leaving even the instruction of their children to slaves? But if so, how is it that the nation that gave us geometry and carried this science so far did not create even a rudimentary algebra? Is it not equally strange that algebra, that corner-stone of modern mathematics, also originated in India, and at about the same time that positional numeration did?'
The answer to this question is suggested by Professor Hog-ben: 'The difficulty of understanding why it should have been the Hindus who took this step, why it was not taken by the mathematicians of antiquity, why it should first have been taken by practical man, is only insuperable if we seek for the explanation of intellectual progress in the genius of a few gifted individuals, instead of in the whole social framework of custom thought which circumscribes the greatest individual genius. What happened in India about A.D. 100 had happened before. May be it is happening now in Soviet Russia.... To accept it (this truth) is to recognize that every culture contains within itself its own doom, unless it pays as much attention to the education of the mass of mankind as to the education of the exceptionally gifted people.
We must assume then that these momentous inventions were not just due to the momentary illumination of an erratic genius, much in advance of his time, but that they were essentially the product of the social milieu and that they answered some insistent demand of the times. Genius of a high order was certainly necessary to find this out and fulfill the demand, but if the demand had not been there the urge to find some way out would have been absent, and even if the invention had been made it would have been forgotten or put aside till circumstances more propitious for its use arose. It seems clear from the early Sanskrit works on mathematics that the demand was there, for these books are full of problems of trade and social relationship involving complicated calculations. There are problems dealing with taxation, debt, and interest; problems of partnership, barter and exchange, and the calculation of the fineness of gold. Society had grown complex and large numbers of people were engaged in govern-mental operations and in an extensive trade. It was impossible to carry on without simple methods of calculation.
The adoption of zero and the decimal place-value system in India unbarred the gates of the mind to rapid progress in arithmetic and algebra. Fractions come in, and the multiplication and division of fractions; the rule of three is discovered and perfected; squares and square-roots (together with the sign of the square-root, V ) J cubes and cube-roots; the minus sign; tables of sines; n is evaluated as 3-1416; letters of the alphabet are used in algebra to denote unknowns; simple and quadratic equations are considered; the mathematics of zero are investigated. Zero is defined as a — a = 0; a + 0 = a; a - 0 = a; ax0=0; a 0 becomes infinity. The conception of negative quantities also comes in, thus: 4 = ± 2.
These and other advances in mathematics are contained in books written by a succession of eminent mathematicians from the fifth to the twelfth century A.C. There are earlier books also (Baudhayana, c. eighth century B.C.; Apastamba and Katyayana, both c. fifth century B.C.) which deal with geometrical problems, especially with triangles, rectangles, and squares. But the earliest extant book on algebra is by the famous astronomer, Aryabhata, who was born in A.C. 476. He wrote this book on astronomy and mathematics when he was only twenty-three years old. Aryabhata, who is sometimes called the inventor of algebra, must have relied, partly at least, on the work of his predecessors. The next great name in Indian mathematics is that of Bhaskara I (A.C. 522), and he was followed by Brahmagupta (A.C. 628), who was also a famous astronomer, and who stated the laws applying to shunya or zero and made other notable advances. There follow a succession of mathematicians who have written on arithmetic or algebra. The last great name is that of Bhaskara II, who was born in A.C. 1114. He wrote three books, on astronomy, algebra, and arithmetic. His book on arithmetic is known as 'Lilavati', which is an odd name for a treatise on mathematics, as it is the name of a woman. There are frequent references in the book to a young girl who is addressed as 'O Lilavati' and is then instructed on the problems stated. It is believed, without any definite proof, that Lilavati was Bhaskara's daughter. The style of the book is clear and simple and suitable for young persons to understand. The book is still used, partly for its style, in Sanskrit schools.
Books on mathematics continued to appear (Narayana 1150, Ganesha 1545), but these are mere repetitions of what had been done. Very little original work on mathematics was done in India after the twelfth century till we reach the modern age.
In the eighth century, during the reign of the Khalif Al-Mansur (753-774), a number of Indian scholars went to Baghdad, and among the books they took with them were works on mathematics and astronomy. Probably even earlier than this, Indian numerals had reached Baghdad, but this was the first systematic approach, and Aryabhata's and other books were translated into Arabic. They influenced the development of mathematics and astronomy in the Arab world, and Indian numerals were introduced. Baghdad was then a great centre of learning and Greek and Jewish scholars had gathered there bringing with them Greek philosophy, geometry, and science. The cultural influence of Baghdad was felt throughout the Moslem world from central Asia to Spain, and a knowledge of Indian mathematics in their Arabic translations spread all over this vast area. The numerals were called by the Arabs 'figures of Hind' (or India), and the Arabic word for a number is 'Hindsah', meaning 'from Hind'.
From this Arab world the new mathematics travelled to European countries, probably through the Moorish universities of Spain, and became the foundation for European mathematics. There was opposition in Europe to the use of the new numbers, as they were considered infidel symbols, and it took several hundred years before they were in common use. The earliest known use is in a Sicilian coin of 1134; in Britain the first use is in 1490.
It seems clear that some knowledge of Indian mathematics, and especially of the place-value system of numbers, had penetrated into western Asia even before the formal embassy carried books to Baghdad. There is an interesting passage in a complaint made by a Syrin scholar-monk who was hurt at the arrogance of some Greek scholars who looked down on Syrians. Severus Sebokht was his name, and he lived in a convent situated on the Eupharates. He writes in A.C. 662 and tries to show that the Syrians were in no way inferior to the Greeks. By way of illustration he refers to the Indians: 'I will omit all discussion of the science of the Hindus, a people not the same as the Syrians; their subtle discoveries in the science of astronomy, discoveries that are more ingenious than those of the Greeks and the Babylonians; their computing that surpasses description. I wish only to say that this computation is done by means of nine signs. If those who believe, because they speak Greek, that they have reached the limits of science, should know of these things, they would be convinced that there are also others who know something [ Quoted in 'History of Hindu Mathematics' by B. Datta and A. JV. Singh (1933). / am indebted to this book for much information on this subject.]
Mathematics in India inevitably makes one think of one extra-ordinary figure of recent times. This was Srinivasa Ramanujam. Born in a poor Brahmin family in south India, having no opportunities for a proper education, he became a clerk in the Madras Port Trust. But he was bubbling over with some irrepressible quality of instinctive genius and played about with numbers and equations in his spare time.- By a lucky chance he attracted the attention of a mathematician who sent some of his amateur work to Cambridge in England. People there were impressed and a scholarship was arranged for him. So he left his clerk's job and went to Cambridge and during a very brief period there did work of profound value and amazing originality. The Royal Society of England went rather out of their way and made him a Fellow, but he died two years later, probably of tuberculosis, at the age of thirty-three. Professor Julian Huxley has, I believe, referred to him somewhere as the greatest mathematician of the century.
Ramanujam's brief life and death are symbolic of conditions in India. Of our millions how few get any education at all, how many live on the verge of starvation; of even those who get some education how many have nothing to look forward to but a clerkship in some office on a pay that is usually far less than the unemployment dole in England. If life opened its gates to them and offered them food and healthy conditions of living and education and opportunities of growth, how many among these millions would be eminent scientists, educationists, technicians, industrialists, writers and artists, helping to build a new India and a new world?



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