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The term "concrete mathematics" also denotes a complement to "abstract mathematics". The book is based on a course begun in 1970 by Knuth at Stanford University. The book expands on the material (approximately 100 pages) [1] in the "Mathematical Preliminaries" [2] section of Knuth's The Art of Computer Programming. Consequently, some readers ...
This principle, foundational for all mathematics, was first elaborated for geometry, and was systematized by Euclid around 300 BC in his book Elements. [ 21 ] [ 22 ] The resulting Euclidean geometry is the study of shapes and their arrangements constructed from lines, planes and circles in the Euclidean plane ( plane geometry ) and the three ...
This book is intended for a general audience interested in recreational mathematics, [7] including mathematically inclined high school students. [4] It is intended to counter the widespread misimpression that Sudoku is not mathematical, [5] [6] [8] and could help students appreciate the distinction between mathematical reasoning and rote calculation.
Undergraduate Texts in Mathematics (UTM) (ISSN 0172-6056) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size.
In 2014, Big Ideas Learning debuted the Big Ideas Math Algebra 1, Geometry, and Algebra 2 Common Core high school mathematics curriculum. The company also announced that it will be releasing the Big Ideas Math Course 1, Course 2, and Course 3 Common Core integrated high school mathematics curriculum in the spring of 2015.
It is to be regretted that this first comprehensive and thorough-going presentation of a mathematical logic and the derivation of mathematics from it [is] so greatly lacking in formal precision in the foundations (contained in 1– 21 of Principia [i.e., sections 1– 5 (propositional logic), 8–14 (predicate logic with identity/equality), 20 ...
The first two are introductory, providing material about manifolds in general, the Hauptvermutung proving the existence and equivalence of triangulations for low-dimensional manifolds, the classification of two-dimensional surfaces, covering spaces, and the mapping class group. The third chapter begins the book's material on 3-manifolds, and on ...
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.