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Sinopsis
Master the geometry of curves with clear, practical explanations of envelopes and singular points.
This edition presents core ideas from differential calculus in a concrete way. It explains how a family of curves can share a common shape, yet differ in size or position, and shows how to find the envelope that represents their limiting curve. You’ll see both geometric and analytic proofs, including how to eliminate a parameter to obtain the envelope and how tangents relate to the surrounding curves.
Topics covered include envelopes of curves, evolutes and involutes, and the behavior of singular points such as nodes and cusps. The text walks through definitions, criteria, and representative examples, with worked exercises to reinforce the method and the intuition behind the results.
- How to identify and compute the envelope of a family of curves.
- Geometric and analytic perspectives on tangency and limiting points.
- Concepts of evolutes, normals, and curvature related to envelopes.
- Structured exercises that apply the theory to concrete problems.
Ideal for readers who want a clear, rigorous introduction to envelopes, singular points, and their role in differential calculus.
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Reseña del editor
Excerpt from Elementary Textbook on the Calculus
The present volume is the outgrowth of the requirements for students in engineering and science in Cornell University, for whom a somewhat brief but adequate introduction to the Calculus is prescribed.
The guiding principle in the selection and presentation of the topics in the following pages has been the ever increasing pressure on the present-day curriculum, especially in applied science, to limit the study of mathematics to a minimum of time and to the topics that are deemed of most immediate use to the professional course for which it is preparatory.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Elementary Textbook on the Calculus (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: New. Print on Demand. This book presents an accessible approach to the fundamental ideas of differential and integral Calculus. The author has skillfully introduced concepts such as the derivative and the integral through intuitive explanations and practical illustrations, making them comprehensible to students and general readers alike. The book covers a wide range of topics, starting with the basics of limits and differentiation before exploring more advanced ideas like curve sketching and applications of integration. Throughout, the author emphasizes the underlying principles that connect these concepts, providing a coherent understanding of the subject. One of the strengths of this book is its focus on real-world applications. The author provides numerous examples to illustrate how Calculus can be used to solve problems in fields such as physics, engineering, and economics. These examples not only enhance the reader's understanding but also demonstrate the practical significance of the subject. Overall, this book offers a comprehensive and engaging introduction to Calculus, striking a balance between rigor and accessibility. It is a valuable resource for students, professionals, and anyone who seeks to enhance their understanding of this fundamental branch of mathematics. 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. Nº de ref. del artículo: 9781332796489_0
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Elementary Textbook on the Calculus Classic Reprint
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332796489
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Elementary Textbook on the Calculus Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332796489
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