The Elements of the Integral Calculus: With Its Applications to Geometry (Classic Reprint) - Hardcover

John Radford Young

Hardcover

ISBN 10: 0428604757 ISBN 13: 9780428604752

Publisher: Forgotten Books, 2018

Synopsis

Master the core ideas of integral calculus with clear, student‑friendly guidance.

This foundational work is organized into three parts: integrating one‑variable differentials, geometry‑driven topics like rectification and quadrature, and an elementary view of differential equations. It emphasizes approachable methods, with the author presenting general formulas in improved, tabular forms and guiding readers toward practical problem solving.

The author aims to help the student progress with clarity, including discussions on series methods and successive integration. It also highlights how this calculus is applied to geometry, and why certain classical curves were omitted in favor of more analytically rich alternatives. The volume closes with an invitation to explore further sources for deeper study and a hope to spark ongoing inquiry in the young analyst.
What you’ll experience

• A three‑part structure covering integration, geometric applications, and differential equations
• Techniques for integrating by series, handling logarithmic and exponential forms, and using trigonometric methods
• Worked examples that connect theory to shapes like circles, ellipses, and solids
• Explanations of how to approach volume and surface problems through analytic expressions
• Context on the book’s approach to old curves and the value of modern methods

Ideal for readers seeking a thorough, classroom‑friendly introduction to the integral calculus and its geometric applications.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0428604757
• ISBN 13: 9780428604752
• Binding: Hardcover
• Number of pages: 326