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  1. Há 2 dias · Euclid understood that building a logical and rigorous geometry (and mathematics) depends on the foundationa foundation that Euclid began in Book I with 23 definitions (such as “a point is that which has no part” and “a line is a length without breadth”), five unproved assumptions that Euclid called postulates (now known ...

  2. Há 5 dias · Diophantine geometry should not be confused with the geometry of numbers, which is a collection of graphical methods for answering certain questions in algebraic number theory. Arithmetic geometry, however, is a contemporary term for much the same domain as that covered by the term Diophantine geometry.

  3. Há 4 dias · al-Khwārizmī (born c. 780 —died c. 850) was a Muslim mathematician and astronomer whose major works introduced Hindu-Arabic numerals and the concepts of algebra into European mathematics. Latinized versions of his name and of his most famous book title live on in the terms algorithm and algebra.

  4. Há 22 horas · Colin Maclaurin ( 1698-1746) was Professor of Mathematics at Edinburgh University from 1725 to 1746. He is celebrated for extending Newton's work in the fields of calculus, geometry, and gravitation. The collection consists of mathematical papers and dissertations, manuscripts of Maclaurin's published works, and correspondence with fellow ...

  5. Há 5 dias · Algebra is a branch of mathematics in which arithmetic operations and other formal manipulations are applied to abstract symbols rather than specific numbers. Geometry is the branch of mathematics that deals with the shape of objects, their spatial relations, and the properties of the space the objects are in.

  6. Há 22 horas · In addition to giving area formulas and methods for multiplication, division and working with unit fractions, it also contains evidence of other mathematical knowledge, including composite and prime numbers; arithmetic, geometric and harmonic means; and simplistic understandings of both the Sieve of Eratosthenes and perfect number theory (namely, that of the number 6).

  7. Há 22 horas · The new emergent mathematics and rational philosophy influenced by neo-Platonism and neo-Pythagoreanism informed the work of many important Islamic scholars at the time including al-Rāzī (d.925), al-Fārābī (d.951), Ibn Bājja, and Ibn Sīnā (d.1037).19 The discipline of geometry expressed experimentation with these emergent mathematical and philosophical theories and the combination of ...