Advanced calculus, then and now: a refined, historical guide to fluxions and their applications.
This edition presents Thomas Simpson’s thorough exploration of fluxions, enhanced and corrected for clearer understanding. It covers fundamental principles, practical methods for solving fluxional equations, and a variety of problems across different branches of mathematics. Readers will see how the theory is applied to compute velocities, accelerations, and related quantities, with attention to making higher-order concepts accessible.
The work blends foundational definitions with worked examples, including geometric and trigonometric applications. It emphasizes an approach that builds intuition first and then introduces the inverse method, offering a structured path from simple cases to more complex problems. The edition also provides discussions connecting theory to practice, along with explanations of how the methods extend to new topics within the subject.
- Clear definitions and step-by-step problem solving for fluxions and fluents
- Worked examples in geometry, trigonometry, and spherical triangles
- Guidance on the inverse method and solving fluxional equations
- Historical context and improvements over previous editions
Ideal for students and curious readers of mathematical history who want a solid grasp of fluxions in a historical context and a bridge to the broader study of calculus.