Sunzi 6th Cent B C Popular Books

Sunzi 6th Cent B C Biography & Facts

This is a list of important publications in mathematics, organized by field. Some reasons a particular publication might be regarded as important: Topic creator – A publication that created a new topic Breakthrough – A publication that changed scientific knowledge significantly Influence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. 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. Algebra Theory of equations Baudhayana Sulba Sutra Baudhayana (8th century BCE) Believed to have been written around the 8th century BCE, this is one of the oldest mathematical texts. It laid the foundations of Indian mathematics and was influential in South Asia. Though this was primarily a geometrical text, it also contained some important algebraic developments, including the list of Pythagorean triples discovered algebraically, geometric solutions of linear equations, the use of quadratic equations and square root of 2. The Nine Chapters on the Mathematical Art The Nine Chapters on the Mathematical Art from the 10th–2nd century BCE. Contains the earliest description of Gaussian elimination for solving system of linear equations, it also contains method for finding square root and cubic root. Haidao Suanjing Liu Hui (220-280 CE) Contains the application of right angle triangles for survey of depth or height of distant objects. Sunzi Suanjing Sunzi (5th century CE) Contains the earliest description of Chinese remainder theorem. Aryabhatiya Aryabhata (499 CE) 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 Jigu Suanjing (626 CE) This book by Tang dynasty mathematician Wang Xiaotong contains the world's earliest third order equation. Brāhmasphuṭasiddhānta Brahmagupta (628 CE) Contained rules for manipulating both negative and positive numbers, rules for dealing the number zero, a method for computing square roots, and general methods of solving linear and some quadratic equations, solution to Pell's equation. Al-Kitāb al-mukhtaṣar fī hīsāb al-ğabr wa'l-muqābala Muhammad ibn Mūsā al-Khwārizmī (820 CE) The first book on the systematic algebraic solutions of linear and quadratic equations by the Persian scholar Muhammad ibn Mūsā al-Khwārizmī. The book is considered to be the foundation of modern algebra and Islamic mathematics. The word "algebra" itself is derived from the al-Jabr in the title of the book. Līlāvatī, Siddhānta Shiromani and Bijaganita One of the major treatises on mathematics by Bhāskara II provides the solution for indeterminate equations of 1st and 2nd order. Yigu yanduan Liu Yi (12th century) Contains the earliest invention of 4th order polynomial equation. Mathematical Treatise in Nine Sections Qin Jiushao (1247) This 13th-century book contains the earliest complete solution of 19th-century Horner's method of solving high order polynomial equations (up to 10th order). It also contains a complete solution of Chinese remainder theorem, which predates Euler and Gauss by several centuries. Ceyuan haijing Li Zhi (1248) Contains the application of high order polynomial equation in solving complex geometry problems. Jade Mirror of the Four Unknowns Zhu Shijie (1303) Contains the method of establishing system of high order polynomial equations of up to four unknowns. Ars Magna Gerolamo Cardano (1545) Otherwise known as The Great Art, provided the first published methods for solving cubic and quartic equations (due to Scipione del Ferro, Niccolò Fontana Tartaglia, and Lodovico Ferrari), and exhibited the first published calculations involving non-real complex numbers. Vollständige Anleitung zur Algebra Leonhard Euler (1770) Also known as Elements of Algebra, Euler's textbook on elementary algebra is one of the first to set out algebra in the modern form we would recognize today. The first volume deals with determinate equations, while the second part deals with Diophantine equations. The last section contains a proof of Fermat's Last Theorem for the case n = 3, making some valid assumptions regarding Q ( − 3 ) {\displaystyle \mathbb {Q} ({\sqrt {-3}})} that Euler did not prove. Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse Carl Friedrich Gauss (1799) Gauss' doctoral dissertation, which contained a widely accepted (at the time) but incomplete proof of the fundamental theorem of algebra. Abstract algebra Group theory Réflexions sur la résolution algébrique des équations Joseph Louis Lagrange (1770) The title means "Reflections on the algebraic solutions of equations". Made the prescient observation that the roots of the Lagrange resolvent of a polynomial equation are tied to permutations of the roots of the original equation, laying a more general foundation for what had previously been an ad hoc analysis and helping motivate the later development of the theory of permutation groups, group theory, and Galois theory. The Lagrange resolvent also introduced the discrete Fourier transform of order 3. Articles Publiés par Galois dans les Annales de Mathématiques Journal de Mathematiques pures et Appliquées, II (1846) Posthumous publication of the mathematical manuscripts of Évariste Galois by Joseph Liouville. Included are Galois' papers Mémoire sur les conditions de résolubilité des équations par radicaux and Des équations primitives qui sont solubles par radicaux. Traité des substitutions et des équations algébriques Camille Jordan (1870) Online version: Online version Traité des substitutions et des équations algébriques (Treatise on Substitutions and Algebraic Equations). The first book on group theory, giving a then-comprehensive study of permutation groups and Galois theory. In this book, Jordan introduced the notion of a simple group and epimorphism (which he called l'isomorphisme mériédrique), proved part of the Jordan–Hölder theorem, and discussed matrix groups over finite fields as well as the Jordan normal form. Theorie der Transformationsgruppen Sophus Lie, Friedrich Engel (1888–1893). Publication data: 3 volumes, B.G. Teubner, Verlagsgesellschaft, mbH, Leipzig, 1888–1893. Volume 1, Volume 2, Volume 3. The first comprehensive work on transformation groups, serving as the foundation for the modern theory of Lie groups. Solvability of groups of odd order Walter Feit and John Thompson (1960) Description: Gave a complete.... Discover the Sunzi 6th Cent B C popular books. Find the top 100 most popular Sunzi 6th Cent B C books.