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An Introduction to the Differential Calculus by Means of Finite Differences (Classic Reprint) - Softcover
Synopsis
Explore how finite differences illuminate the foundations of differential calculus. This clear, step‑by‑step guide shows how differences relate to derivatives, constants, and the role of the interval in calculations.
The text walks through key ideas like how constants affect graphs, how changing the interval alters difference patterns, and how interpolation connects finite differences to differential coefficients. It emphasizes practical understanding over abstract formalism, with worked examples and diagrams that illustrate the reasoning behind the calculus concepts.
- How a constant term shifts a curve and what that means for differentiation and integration.
- Why the interval choice matters and how shrinking it changes differences and approximations.
- How to identify maxima, minima, inflection points, and cusps using differential and difference methods.
- How constants and factors propagate through equations and what this reveals about the shape of graphs.
Ideal for readers new to calculus, as well as students revisiting the relationship between finite differences and smooth curves.
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An Introduction to the Differential Calculus by Means of Finite Differences
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book offers a comprehensive introduction to differential calculus through finite differences. Introducing a method pioneered by the author, this book re-examines a fundamental concept in calculus that has been taught for more than two centuries. The author argues that earlier methods of explaining differential calculus fail to provide students with a full conceptual model. The book shows how finite differences offer a more robust method for understanding differential calculus, allowing students to visualize the relationship between differentials and differences and grasp the fundamental principles of the subject. It includes historical context and analysis of the traditional method of limits. The book concludes by discussing the significance of the author's method in providing a more rigorous and intuitive approach to differential calculus. 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 # 9781330581315_0
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An Introduction to the Differential Calculus by Means of Finite Differences Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330581315
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An Introduction to the Differential Calculus by Means of Finite Differences Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330581315
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