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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]
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.
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.
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 includes the study of algebraic structures, which are sets and operations defined on these sets satisfying certain axioms. The field of algebra is further divided according to which structure is studied; for instance, group theory concerns an algebraic structure called group .
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements. [1] Algebraic structures include groups , rings , fields , modules , vector spaces , lattices , and algebras over a field .
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.
This article is missing information about the point of view of notable mathematicians and many important philosophical problems, such as the relationship between mathematics and other sciences. Please expand the article to include this information. Further details may exist on the talk page. (November 2022)