First Principles of the Differential and Integral Calculus: Or the Doctrine of Fluxions, Intended as an Introduction to the Physico-Mathematical ... From the French for the Use of the Stu - Hardcover

Etienne Bézout

Hardcover

ISBN 10: 0332580156 ISBN 13: 9780332580159

Publisher: Forgotten Books, 2018

Synopsis

Mastering the foundations of calculus, from the basics to practical applications

This is an historical introduction to the differential and integral calculus, drawn from Bézout’s classic work and presented as an accessible entry point for students of the physico-m mathematical sciences.

The edition explains the core ideas of infinitesimal reasoning, with clear examples and step-by-step methods that connect theory to geometry and measurement.

Readers will follow the development of differential calculus, learn how to handle differentials, tangents, and curves, and explore the integral calculus through quadrature, rectification, and the geometry of solids of revolution. The book also includes explanations, notes, and perspectives that show how these techniques fit into a broader mathematical course.

• Foundational concepts in differential and integral calculus, including differentials and their applications
• Techniques for tangents, normals, curvature, and the rectification of curves
• Applications to curved surfaces, solids of revolution, and measures of solidity
• Historical notes and a clear, practical approach suitable for students

Ideal for readers of older mathematical texts who want a solid introduction to calculus and its methods, presented in a concise, transferable way.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0332580156
• ISBN 13: 9780332580159
• Binding: Hardcover
• Number of pages: 211