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He published an op-ed titled "Is Algebra Necessary" in the New York Times on July 29, 2012, arguing that while arithmetic and mathematical literacy should be universally taught, higher math concepts like algebra and trigonometry are not useful for the vast majority of students. [3]
The scope of algebra thus grew to include the study of algebraic structures. 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.
In his articles he has questioned whether mathematics is necessary, claiming "Making mathematics mandatory prevents us from discovering and developing young talent." His most recent book, "Downfall: The Demise of a President and His Party" starts with the sentences: "There is not even a long-odds chance that Donald Trump will gain a second term.
In algebra, for some set S together with an operation to form a group, it is necessary that be associative. It is also necessary that S include a special element e such that for every x in S , it is the case that e ⋆ {\displaystyle \star } x and x ⋆ {\displaystyle \star } e both equal x .
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
The word "algebra" is derived from the Arabic word الجبر al-jabr, and this comes from the treatise written in the year 830 by the medieval Persian mathematician, Al-Khwārizmī, whose Arabic title, Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala, can be translated as The Compendious Book on Calculation by Completion and Balancing.
Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies the effects of adding and multiplying numbers , variables , and polynomials , along with their factorization and determining their roots .
Elementary algebra, also known as high school algebra or college algebra, [1] encompasses the basic concepts of algebra. It is often contrasted with arithmetic : arithmetic deals with specified numbers , [ 2 ] whilst algebra introduces variables (quantities without fixed values).