New methods and practical results in the fluxional calculus for higher mathematics.
The Doctrine and Application of Fluxions, Vol. 2 presents a revised edition that adds copious appendices and advances in the theory, offering fresh improvements and the solution of a variety of interesting problems across different branches of mathematics.
This volume guides readers through the method of fluxions when the exponent varies, introduces systematic approaches to exponentials and spherical triangles, and includes propositions with concrete formulas and tables. It blends theoretical development with practical problems, including applications related to astronomy and related fields.
Readers will encounter structured results, proofs, and worked examples that illuminate both the technique and its uses in science and engineering of the period.
- New techniques for fluxions with variable exponents and exponential functions
- Advanced treatment of spherical triangles with applications to astronomy
- Step-by-step propositions and corollaries with explicit relationships and tables
- Applications to physical problems, including ideas about forces and attractors
Ideal for readers seeking a rigorous, historical account of fluxional methods and their mathematical and scientific uses.