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diff --git a/math/algebra b/math/algebra deleted file mode 100644 index 3e39ddb..0000000 --- a/math/algebra +++ /dev/null @@ -1,79 +0,0 @@ -==================== -Algebra -==================== - -.. note:: Most of the definitions and notation in the section are based on [rudin]_ or [meserve]_ - -.. list-table:: Closure of binary operators on given sets of numbers - - * - Operation name - - addition - - product - - subtraction - - division - - power - - root - * - Operation symbol - - :latex:`$a + b$` - - :latex:`$a\times b$` - - :latex:`$a-b$` - - :latex:`$\frac{a}{b}$` - - :latex:`$a^b$` - - :latex:`$\sqrt{\text{a}}$` - * - Positive Integers - - Y - - Y - - N - - N - - Y - - N - * - Positive rationals - - Y - - Y - - N - - Y - - Y - - N - * - Rationals (and zero) - - Y - - Y - - Y - - Y - - Y - - N - * - Reals wrt positive integers - - Y - - Y - - Y - - Y - - Y - - Y - * - Complex numbers - - Y - - Y - - Y - - Y - - Y - - Y - -Definitions -============= - -*involution* - to raise a number to a given power - -*evolution* - to take a given root of a number - -*associative* - :latex:`$(a+b)+c=a+(b+c)$` - -*comutative* - :latex:`$a+b=b+c$` - -*distributive* - :latex:`$(a+b)c=ac+bc$` - -.. [rudin] `Principles of Mathematical Analysis (3rd ed)`:title:, by Walter Rudin. McGraw-Hill, 1976 - -.. [meserve] `Fundamental Concepts of Algebra`:title:, by Bruce Meserve. |