Examples of the Processes of the Differential and Integral Calculus (Classic Reprint)

Explore the general methods that extend the reach of calculus and its applications.

This edition surveys how symmetry in equations relates to the roots of multi-variable systems and how these ideas lead to new ways to evaluate integrals and connect different transcendental functions. A clear, historical thread follows the development of these ideas, including practical techniques for handling symmetrical relations and their consequences in integration.

• See how a function of several variables can be treated as a symmetrical of an equation and how this idea leads to algebraic values for integrals.
• Learn about the interplay between roots, coefficients, and differential forms, with concrete steps to reduce complex expressions.
• Discover how special transcendents connect to familiar functions like logarithms, through integrals and transformations.
• Explore historical notes and references to classic works that developed the theory of elliptic and logarithmic transcendents.