गणितसारसंग्रह (महावीराचार्य - प्रो. लक्ष्मीचन्द्र जैन सविस्तार हिन्दी अनुवाद सटीक)
Ganitasarasangraha of Mahaviracharya with Hindi Translation
महावीराचार्य (अनुवादक: प्रो. एल. सी. जैन) द्वारा
पृष्ठ 412, कुल 421 में से
संदर्भ में पढ़ेंगणितसारसंग्रह ७७
two great divisions of the world as then known. Rather than
assert that the Oriental algebra was influenced by the Occidental
we should say that the reverse was the case. Bagdad, subjected
to the influence of both the East and the West, transmitted
more to Europe than it did to India. Leonardo Fibonacci, for
example, shows much more of the Oriental influence than Bhāskara,
who was practically his contemporary, shows of the Occidental.
Professor Raṅgācārya has, therefore, by his great contribution
to the history of mathematics confirmed the view already taking
rather concrete form, that India developed an algebra of her own;
that this algebra was set forth by several writers all imbued with
the same spirit, but all reasonably independent of one another; that
India influenced Europe in the matter of algebra, more than it was
influenced in return; that there was no native geometry really
worthy of the name; that trigonometry was practically non-existent
save as imported from the Greek astronomers; and that whatever of
geometry was developed came probably from Mesopotamia rather
than from Greece. His labours have revealed to the world a writer
almost unknown to European scholars, and a work that is in many
respects the most scholarly of any to be found in Indian mathematical
literature. They have given us further evidence of the fact that
Oriental mathematics lacks the cold logic, the consecutive
arrangement, and the abstract character of Greek mathematics, but
that it possesses a richness of imagination, an interest in
problem-setting, and poetry, all of which are lacking in the treatises of
the West, although abounding in the works of China and Japan. If,
now, his labours shall lead others to bring to light and set forth mor
and more of the classics of the East, and in particular those of early
and mediaeval China, the world will be to a still larger extent his
debtor.