Elementary Textbook on the Calculus (Classic Reprint) - Couverture souple

Virgil Snyder

Couverture souple

ISBN 10 : 1332796486 ISBN 13 : 9781332796489

Editeur : Forgotten Books, 2018

Synopsis

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.

A propos du livre

Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1332796486
• ISBN 13: 9781332796489
• Reliure: Broché
• Nombre de pages: 384
• Coordonnées du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com; gpsr@podww.com; ; 9 Culley Court; Orton Southgate; Peterborough; Cambridgeshire; PE2 6WA; Royaume-Uni
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