Calculus for the Practical Man

A step-by-step guide to calculus featuring practice questions and exercises to help people improve their understanding of the mathematical study of change.

First published in 1945, this edition of J. E. Thompson's Calculus for the Practical Man is the ideal simple guide for those who are studying physics or mathematical courses at university, or for those who wish to brush up on the calculus they learnt while in higher education. Each chapter features illustrated examples of solved problems, and there are practice exercises for the reader to try at the end of each section. The contents of this volume includes:

• 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

• Interpretation of Functions and Derivatives by Means of Graphs

• Maximum and Minimum Values

• Problems in Maxima and Minima

• Differentials of Logarithmic and Exponential Functions

Contenu

Chapter I. Fundamental Ideas. Rates and Differentials, Chapter II. Functions and Derivatives, Chapter III. Differentials of Algebraic Functions, Chapter IV. Use of Rates and Differentials in Solving Problems, Chapter V. Differentials of Trigonometric Functions, Chapter VI. Velocity, Acceleration and Derivatives, Chapter VII. Interpretation of Functions and Derivatives by Means of Graphs, Chapter VIII. Maximum and Minimum Values, Chapter IX. Problems in Maxima and Minima, Chapter X. Differentials of Logarithmic and Exponential Functions, Chapter XI. Summary of Differential Formulas, Chapter XII. Reversing the Process of Differentiation, Chapter XIII. Integral Formulas, Chapter XIV. How to Use Integral Formulas, Chapter XV. Interpretation of Integrals by Means of Graphs, Chapter XVI. Graphical Applications of Integration, Chapter XVII. Use of Integrals in Solving Problems, Chapter XVIII. The Natural Law of Growth and The Number "e"