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Chapter 18 contained 103 Sanskrit verses which began with rules for arithmetical operations involving zero and negative numbers [73] and is considered the first systematic treatment of the subject. The rules (which included a + 0 = a {\displaystyle a+0=\ a} and a × 0 = 0 {\displaystyle a\times 0=0} ) were all correct, with one exception: 0 0 ...
His Bījaganita ("Algebra") was a work in twelve chapters. It was the first text to recognize that a positive number has two square roots (a positive and negative square root). [25] His work Bījaganita is effectively a treatise on algebra and contains the following topics: Positive and negative numbers.
The book contains thirteen chapters, 278 verses, ... contains 213 verses and is devoted to algebra. ... All put together there are about 900 verses. [4]
12th century: Bhaskara Acharya writes the “Bijaganita” (“Algebra”), which is the first text that recognizes that a positive number has two square roots 1130: Al-Samawal gives a definition of algebra: “[it is concerned] with operating on unknowns using all the arithmetical tools, in the same way as the arithmetician operates on the ...
This object of algebra was called modern algebra or abstract algebra, as established by the influence and works of Emmy Noether. [36] Some types of algebraic structures have useful and often fundamental properties, in many areas of mathematics. Their study became autonomous parts of algebra, and include: [14] group theory; field theory
K.C. Nag's books from class 4–12 are the books which the students aspiring to excel in every walk of life had depended on at some time or other for the past three generations. Tridibesh formed a board consisting of eminent professors, school teachers, examiners, and successful students in order to revise the book from time to time.
Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers. It is typically taught to secondary school students and at introductory college level in the United States, [4] and builds on their understanding of arithmetic. The use of variables to denote quantities allows ...
In 2021, due to the COVID-19 crisis, the secondary school exams for class X and XII had been cancelled. [9] In 2023, the class 12 Board Exam were conducted between 15 February to 5 April and Result were announced on 12 May along with class 10 Board result.
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