Calculator finds square root of positive or negative numbers. Square root is a value that when squared equals original number. Each number has two square roots: positive and negative. Square root symbol (√) is used only for principal root
Number line is a visual representation of numbers on a straight line. Zero (0) serves as the origin of the number line. Numbers increase from left to right, decrease from right to left
Absolute value is the non-negative value of a number without regard to its sign. Absolute value is distance from zero along the real number line. Real absolute value is continuous, differentiable except at x=0. Absolute value has four fundamental properties: non-negativity, positive definiteness, multiplicativity, and subadditivity
Cauchy sequence is a sequence where terms get arbitrarily close together. Elements must be within distance of each other for Cauchy sequences. Cauchy sequences are named after Augustin-Louis Cauchy
Irrational numbers cannot be expressed as simple fractions. They are represented as R\Q or R-Q. Addition of irrational numbers with rational numbers results in irrational numbers. Multiplication of irrational numbers with nonzero rational numbers produces irrational results. LCM of any two irrational numbers may or may not exist
Solutions are provided for instructors using Adams and Essex's Calculus textbooks. Manual contains detailed solutions for core material and techniques. Some details may be omitted in applications of integration