Based on Dr. Artur Morgenstern's book "Number and function", Ferdinand Hirt in Breslau 1933.

Contents

 Number symbols Relative numbers Powers with positive and negative exponents Slide rule General numbers Function Graph of y = axn Parallel displacement and the functions of parabolic and hyperbolic growth Calculation with general numbers Graphical representation of the function y = mx y = axn and y = a/xn, the functions of direct and indirect proportionality of higher order Quadratic equations Powers Meaning of the constant m in y = mx. Concept of root Graphical solution of quadratic equations Checking results Direct proportionality function Determination of square root Solution of special equations in one unknown Symbols and valid digits More proportionality Irrational numbers Tan function Equations Functional method for several variables Positive and negative numbers under the root sign Trigonometric functions Calculations with sums and differences Inverse proportionality Root function as the inverse of the power function Selected values of the trigonometric functions Fractions Graphics of general linear function Arithmetic with roots Relations between trigonometric functions History of fractions Uniform growth Powers with fractional exponents Triangle with right angle Zero Graphical solution of equations Exponential function Angles, positive and negative Positive and negative numbers Numerical solution of linear equations in two unknowns Logarithm Trigonometric functions, extension to arbitrary angles Text equations Linear equations with more than two unknown The logarithmic function as the inverse of the exponential function Symmetry of trigonometric functions More Arithmetic Calculus of powers Logarithm rules Calculation of triangles Proportions Graph of power function y = xn Logarithm tables Arbitrary triangles Graphical representation Calculus of powers Computation with logarithms Navigation