Textbook in PDF format Translated and adapted from Meyers Rechenduden (Meyer's Rechen-Duden), published by Bibliographisches Institute in Mannheim, 1960. We believe this may be the first popular encyclopedia or reference book of mathematics of its kind, arranged in alphabetical order of subjects. It is based on the Rechenduden of the Bibliographisches Institut in Mannheim. Well over 200,000 copies of this were sold within two years. The present version has been thoroughly adapted to Anglo-American needs and has been considerably altered in the process. We are grateful to the mathematicians on both sides of the Atlantic who have undertaken this task or helped us with their advice. The book starts from the beginning of secondary school mathematics and includes many of the topics studied for a university degree. It is not addressed to the professional mathematician, but it will help the student to become one. It is intended for the Man in the Street, the harassed parent, and the technical or engineering student; or for the scientist, engineer and accountant for whom mathematics have not lost their fascination. The encyclopedia is reliable and the explanations clear. It contains a large collection of formulae (arithmetical, algebraic, geometric, trigonometric, special functions, series, differential and integral calculus). There are also tables of mathematical functions (powers, square and cube roots, logarithms, trigonometrical functions, exponential functions, length of arcs and angles in degrees and radians, tables of differences)—every value electronically calculated separately, with no interpolated values. Publisher's Note Foreword Alphabetical encyclopedia under subjects Mathematical formulae Arithmetic Algebra Applications Geometry and Trigonometry Analytical Geometry Special Functions Series and Expansions in Series Differential Calculus Integral Calclulus Mathematical tables Explanations of Use of Tables