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An open textbook is a textbook licensed under an open license, and made available online to be freely used by students, teachers and members of the public. Many open textbooks are distributed in either print, e-book, or audio formats that may be downloaded or purchased at little or no cost. [1]
Download QR code; Print/export Download as PDF; ... Pages in category "Mathematics textbooks" The following 83 pages are in this category, out of 83 total.
Textbooks written in Pashto distributed to Afghan school children. A textbook is a book containing a comprehensive compilation of content in a branch of study with the intention of explaining it. Textbooks are produced to meet the needs of educators, usually at educational institutions, but also of learners (who could be independent learners ...
Furthermore, if the free group F has rank n and the subgroup H has index e in F, then H is free of rank 1 + e(n–1). A free group of rank k clearly has subgroups of every rank less than k. Less obviously, a (nonabelian!) free group of rank at least 2 has subgroups of all countable ranks. The commutator subgroup of a free group of rank k > 1 ...
The Saxon Math 1 to Algebra 1/2 (the equivalent of a Pre-Algebra book) curriculum [3] is designed so that students complete assorted mental math problems, learn a new mathematical concept, practice problems relating to that lesson, and solve a variety of problems. Daily practice problems include relevant questions from the current day's lesson ...
The first book on the systematic algebraic solutions of linear and quadratic equations by the Persian scholar Muhammad ibn Mūsā al-Khwārizmī. The book is considered to be the foundation of modern algebra and Islamic mathematics. [10] The word "algebra" itself is derived from the al-Jabr in the title of the book. [11]
f(X) = X n + a n−1 X n−1 + ⋯ + a 0 (where f is regarded as a polynomial in E(a 0, ..., a n−1), for some indeterminates a i, E is any field, and n ≥ 5). The tensor product of fields is not usually a field. For example, a finite extension F / E of degree n is a Galois extension if and only if there is an isomorphism of F-algebras F ⊗ ...
If an airplane's altitude at time t is a(t), and the air pressure at altitude x is p(x), then (p ∘ a)(t) is the pressure around the plane at time t. Function defined on finite sets which change the order of their elements such as permutations can be composed on the same set, this being composition of permutations.