Reflexions: On the Metaphysical Principles of the Infinitesimal Analysis (Classic Reprint) - Hardcover

M. Carnot

Hardcover

ISBN 10: 0331585340 ISBN 13: 9780331585346

Publisher: Forgotten Books, 2018

Synopsis

Uncover the core ideas behind the infinitesimal calculus and its foundations.

This translated work surveys the true spirit of a powerful mathematical method, showing how its ideas about quantity, limits, and variation illuminate the laws of nature. It contrasts the infinitesimal approach with other methods and explains why this view can simplify difficult problems.

Structured in clear chapters, the book investigates general principles, the rise of algorithms, and the place of alternative methods such as exhaustion and indeterminate quantities. It aims to connect historical debates with practical reasoning, helping readers grasp why infinitesimal analysis matters in mathematics and beyond.

• Explore how infinitesimals are treated as precise, usable quantities rather than vague notions.
• Learn how variation and differential concepts relate to the calculus of maxima, minima, and the calculus of variations.
• See a comparative look at exhaustion and other methods, and how they relate to modern analysis.
• Understand the practical advantages of the infinitesimal approach in solving real problems.

Ideal for readers curious about the foundations of calculus, its historical development, and the philosophical questions behind mathematical methods.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0331585340
• ISBN 13: 9780331585346
• Binding: Hardcover
• Number of pages: 143