A Treatise on the Integral Calculus Founded on the Method of Rates (Classic Reprint) - Softcover

Inhaltsangabe

Mastery of the Complex Plane and Calculus, in one definitive guide.

This classic work presents the integral calculus from a rigorous, practical viewpoint, with clear paths from theory to application. It helps readers build a solid foundation in complex analysis, series, and the geometry of curves.

This edition delves into topics such as contour integrals, power and Taylor series, convergence radii, and the center of gravity. It blends foundational theorems with methods for solving problems in geometry, physics, and applied mathematics, making it a valuable reference for students and professionals alike.

• Learn how integrals, series, and transformations interact in the complex plane
• Explore circle of convergence, radius of convergence, and Taylor’s series for complex functions
• See how moments, centroids, and moments of inertia connect geometry with mechanics
• Apply concepts to problems in plane and solid figures, including symmetry and center calculations

Ideal for readers of advanced calculus and mathematical methods in physics, engineering, and related fields who want a thorough, ready-to-use reference.

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