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Synopsis
Explore the foundations of infinitesimal calculus with a clear, practice‑oriented approach.
This classic text introduces concepts like continuity, limits, and the derived function, then builds toward integration and geometric applications. It emphasizes concrete methods, illustrated by examples, diagrams, and real‑world feel for students and self‑learners.
Structured to guide you from basic ideas to powerful techniques, the book cover topics that include continuous variation, mean values, and practical rules for definite and improper integrals. It also connects theory to geometry, offering methods for areas, volumes, and curves, along with historical context and step‑by‑step calculations.
- Foundational definitions of continuity, functions, and limits.
- Techniques for differentiation and integration, including applications to areas and volumes.
- Numerical methods and mean values that illuminate approximation and estimation.
- Geometric applications and practical examples like planimeters and curve areas.
Ideal for readers beginning the study of calculus or needing a rigorous, example‑driven reference to core ideas and methods.
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Book Description
As a teacher and writer, Sir Horace Lamb's stated aim was clarity: 'somehow to make these dry bones live'. This book, first published in 1897, was followed by three further editions, the final one just before his death. As with Lamb's other textbooks, each section is followed by examples.
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An Elementary Course of Infinitesimal Calculus (Classic Reprint)
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Paperback. Condition: New. Print on Demand. Embark on a comprehensive exploration of infinitesimal calculus, a cornerstone of modern mathematics with profound applications across diverse scientific fields. This revised edition delves into the essential concepts of calculus, guiding readers through the intricacies of continuity, derived functions, and integration. With a historical foundation rooted in geometrical problems like tangents, areas, and volumes, the book seamlessly bridges the gap between abstract mathematical principles and their practical applications in physics and geometry. The author's clear and concise explanations demystify complex topics such as infinite series, power series, and differential equations, making them accessible to students at various levels of mathematical proficiency. Explore the fascinating world of special curves, curvature, and higher-order derivatives, gaining a deeper understanding of the fundamental principles that govern the behavior of functions and their graphical representations. This book empowers readers to grasp the elegance and power of calculus, providing a solid framework for further exploration in mathematics and its applications in the real world. Through its insightful explanations and practical examples, it illuminates the profound impact of calculus on our understanding of the universe and its intricate phenomena. 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 # 9781330068137_0
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An Elementary Course of Infinitesimal Calculus Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330068137
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An Elementary Course of Infinitesimal Calculus Classic Reprint
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