Elements of the Differential Calculus: With Examples and Applications
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 21.48
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. 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. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781330021378_0
- Title
- Elements of the Differential Calculus: With Examples and Applications
- Author
- W. E. Byerly
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1330021371
- ISBN 13
- 9781330021378
- Seller catalogs
- Calculus
The book emphasizes a clear, patient development of concepts and offers numerous examples and applications throughout. It combines formal differentiation rules with practical methods, including early introductions to integration and the use of infinitesimals in geometric problems, to help students see how theory translates to real-world problems.
- Foundations built on the doctrine of limits, preparing for infinitesimal notation.
- Differentiation of algebraic and transcendental functions, with worked examples.
- Applications to tangents, normals, extrema, and other geometric problems.
- Introduction to integration and its direct formulas, plus problem-solving practice.
Ideal for readers seeking a rigorous yet accessible introduction to differential calculus, with practical applications woven throughout the lessons. This edition is well suited for students in undergraduate mathematics, physics, and engineering courses.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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