Elements of the Differential Calculus: With Examples and Applications, a Text Book (Classic Reprint) - Softcover

W. E. Byerly

Softcover

ISBN 10: 1330021371 ISBN 13: 9781330021378

Publisher: Forgotten Books, 2018

Synopsis

This book significantly contributes to the study of differential calculus, with a rigorous treatment of the subject based on the Doctrine of Limits. The author offers early integration methods with geometric applications, advanced treatment of infinitesimals in geometry, and a dedicated effort to engage readers' interest through practical applications in geometry and mechanics. The author's approach is not only to expand the mathematical knowledge of students but to encourage a deeper engagement with differential calculus. Incisive insights are presented throughout the book, challenging readers to consider concepts like the velocity of a moving body, the direction of the tangent at any given point on a curve, and the curvature of a given curve. Delving into topics such as particle motion and the evolute of a cycloid, the author reveals the power of differential calculus as a tool for investigating and understanding the world around us with greater precision. This book is a valuable resource for students, practitioners, and anyone seeking a deeper understanding of differential calculus and its applications. It provides a solid foundation for further exploration in mathematics and its applications to mechanics and geometry.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 1330021371
• ISBN 13: 9781330021378
• Binding: Paperback
• Number of pages: 292