Elements of the Differential Calculus (Classic Reprint): With Examples and Applications, a Text Book: With Examples and Applications, a Text Book (Classic Reprint) - Softcover
Synopsis
Mastery of the differential calculus with practical applications Discover a college-ready approach to limits as the foundation of the subject, followed by the move to more intuitive infinitesimal notation. This text builds ideas step by step, balancing theory with concrete problems in geometry and mechanics.
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.
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Elements of the Differential Calculus: With Examples and Applications
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Paperback. Condition: New. 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. print-on-demand item. Seller Inventory # 9781330021378_0
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Elements of the Differential Calculus : With Examples and Applications, a Text Book (Classic Reprint)
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Forgotten Books Nov 2018, 2018
ISBN 10: 1330021371
ISBN 13: 9781330021378
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Elements of the Differential Calculus : With Examples and Applications, a Text Book (Classic Reprint)
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Condition: Sehr gut. Zustand: Sehr gut | Seiten: 294 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Seller Inventory # 25693799/2