पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)

x INTRODUCTION
At present we are in possession of the following works
on arithmetic and mensuration :
(1) The Gaṇita-sâra-saṅgraha of Mahâvîra (850 A.D.)
(2) The Pâṭīgaṇita and the Pâṭīgaṇita-sâra (or Triśatikâ)
of Śrîdharâcârya.¹
(3) The Gaṇita-tilaka of Śrîpati (1039 A.D.). Incomplete.
(4) The Lîlâvatî of Bhâskara II (1150 A.D.)
(5) The Gaṇita-kaumudî of Nârâyaṇa (1356 A.D.)
We also possess the following astronomical works
which deal with arithmetic and mensuration in one of the
chapters:
(1) The Brâhma-sphuṭa-siddhânta of Brahmagupta (628
A.D.), of which the twelfth chapter, entitled Gaṇitâdhyâya,
deals with arithmetic and mensuration.
(2) The Mahâ-siddhânta of Âryabhaṭa II (c. 950 A.D.),
of which the fifteenth chapter, entitled Pâṭīgaṇita, is devoted
to arithmetic and mensuration.
(3) The Siddhânta-śekhara of Śrîpati (1039 A.D.), of which
the thirteenth chapter, entitled Vyakta-gaṇitâdhyâya, is devoted
to arithmetic and mensuration.
The above works (or chapters) are broadly divided into
two sections, logistics (parikarma) and determinations (vyava-
hâra). The logistics comprise the fundamental operations of
arithmetic and other important methods or processes of calcu-
lation. The determinations relate to topics of commercial
or general interest. In the case of each topic we have a rule
or a set of rules followed by one or more examples. In astro-
nomical works which partly deal with the subject, only rules
are given, and there are no examples.

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¹ We have shown later that Śrîdharâcârya lived sometime between
Mahâvîra (850 A.D.) and Âryabhaṭa II (c. 950 A.D.)