Number symbols

Numbers and Functions

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