Calculus for the Practical Man

This book on simplified calculus is intended for a reader who is interested in the meaning and simpler technique of mathematical science, and for those who wish to obtain a practical mastery of some of the more directly useful branches of the science without the aid of a teacher. One of the outstanding features of the book is the use of the method of rates instead of the method of limits. The method of limits is used for the modern theory of functions, but is artificial and not in any way connected with the familiar ideas of numbers, algebraic symbolism, and natural phenomena. On the other hand, rates are directly intuitive. Contents: Fundamental Ideas, Rates and Differentials; Functions and Derivatives; Differentials of Algebraic Functions; Use of Rates and Differentials in Solving Problems; Differentials of Trigonometric Functions; Velocity, Acceleration, and Derivatives; Interpretations of Functions and Derivatives By Means of Graphs; Maximum and Minimum Values; Problems in Maxima and Minima; Differentials of Logarithmic and Exponential Functions; Summary of Differential Formulas; Reversing the Process of Differentiation; Integral Formulas; How to Use Integral Formulas; Interpretation of Integrals By Means of Graphs; Graphical Applications of Integration; Use of Integrals in Solving Problems; The Natural Law of Growth and the Number 'e'; The Most Remarkable Formula in Mathematics.