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Indian mathematicians made early contributions to the study of the concept of zero as a number, [5] negative numbers, [6] arithmetic, and algebra. [7] In addition, trigonometry [ 8 ] was further advanced in India, and, in particular, the modern definitions of sine and cosine were developed there. [ 9 ]
Dinanath Batra had conducted a lengthy campaign for the inclusion of Vedic Maths into the National Council of Educational Research and Training (NCERT) curricula. [26] Subsequently, there was a proposal from NCERT to induct Vedic Maths, along with a number of fringe pseudo-scientific subjects (Vedic Astrology et al.), into the standard academic ...
Līlāvatī is a treatise by Indian mathematician Bhāskara II on mathematics, written in 1150 AD. It is the first volume of his main work, the Siddhānta Shiromani, [1] alongside the Bijaganita, the Grahaganita and the Golādhyāya.
Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic structures. For instance, rather than take particular groups as the object of study, in universal algebra one takes the class of groups as an object of study.
In mathematics, an algebraic expression is an expression build up from constants (usually, algebraic numbers) variables, and the basic algebraic operations: addition (+), subtraction (-), multiplication (×), division (÷), whole number powers, and roots (fractional powers).
In mathematics, a recurrence relation is an equation according to which the th term of a sequence of numbers is equal to some combination of the previous terms. Often, only previous terms of the sequence appear in the equation, for a parameter that is independent of ; this number is called the order of the relation.
For functions of a single variable, the theorem states that if is a continuously differentiable function with nonzero derivative at the point ; then is injective (or bijective onto the image) in a neighborhood of , the inverse is continuously differentiable near = (), and the derivative of the inverse function at is the reciprocal of the derivative of at : ′ = ′ = ′ (()).
[40] [41] [42] Their business model [43] was to offer the open textbook free online, [44] [45] and then sell ancillary products that students are likely to buy if prices are reasonable – print copies, study guides, ePub, .Mobi , PDF download, etc. Flat World Knowledge compensates its authors with royalties on these sales. [46]
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