Linear Indeterminate Analysis: Theory and Applications

Recent years the theory of first degree or linear indeterminate analysis initiated by Āryabhaṭa I (b.476 AD) are widely appreciated and used in modern sciences on accounts of its varied applications in the field of mathematics, astronomy, coding theory, cryptography, information systems, computer design and signal processing. This paper intends to present the progress in the areas of linear indeterminate analysis from fourth century BCE to modern times. Examples and applications of significance have been presented with a view of mathematical learning.