List of important publications in mathematics
This is a list of important publications in mathematics, organized by field.
Some reasons why a particular publication might be regarded as important:
Among published compilations of important publications in mathematics are Landmark writings in Western mathematics 1640–1940 by Ivor Grattan-Guinness and A Source Book in Mathematics by David Eugene Smith.
Believed to have been written around the 8th century BC, this is one of the oldest mathematical texts. It laid the foundations of Indian mathematics and was influential in South Asia and its surrounding regions, and perhaps even Greece. Though this was primarily a geometrical text, it also contained some important algebraic developments, including the earliest list of Pythagorean triples discovered algebraically, geometric solutions of linear equations, the earliest use of quadratic equations of the forms ax2 = c and ax2 + bx = c, and integral solutions of simultaneous Diophantine equations with up to four unknowns.
Contains the earliest description of Gaussian elimination for solving system of linear equations, it also contains method for finding square root and cubic root.
Contains the application of right angle triangles for survey of depth or height of distant objects.
Contains the earlist description of Chinese remainder theorem.
Aryabhata introduced the method known as "Modus Indorum" or the method of the Indians that has become our algebra today. This algebra came along with the Hindu Number system to Arabia and then migrated to Europe. The text contains 33 verses covering mensuration (kṣetra vyāvahāra), arithmetic and geometric progressions, gnomon / shadows (shanku-chhAyA), simple, quadratic, simultaneous, and indeterminate equations. It also gave the modern standard algorithm for solving first-order diophantine equations.
Jigu Suanjing (626AD)
This book by Tang dynasty mathematician Wang Xiaotong Contains the world's earliest third order equation.
Contained rules for manipulating both negative and positive numbers, a method for computing square roots, and general methods of solving linear and some quadratic equations.
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