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An Elementary Text-Book on the Differential and Integral Calculus (Classic Reprint) - Tapa blanda

Echols, William Holding

 
9780331250589: An Elementary Text-Book on the Differential and Integral Calculus (Classic Reprint)

Sinopsis

A compact guide to advanced calculus ideas, with practical notes and geometric insight. This edition expands the appendix of An Elementary Text-Book on the Differential and Integral Calculus, offering supplementary discussions that deepen understanding of functions, derivatives, and series.


The notes illuminate how complex ideas fit together—from the geometry of curves and the meaning of higher derivatives to the formation of Taylor series and the behavior of functions of a function. Clear examples and formal results help readers see connections between differentiation, limits, and expansions, without assuming prior exposure to every detail of the broader text.



  • Geometric interpretation of functions and their derivatives, including space curves and projections.

  • Formulae and methods for higher derivatives and the quotient of functions, with notes on their structure.

  • Discussion of Taylor series, convergence, and the role of poles in complex-like settings.

  • Supplementary notes that bridge topics in the main chapters and provide practical reference points.


Ideal for readers who want a deeper, math-text supplementary companion to the calculus material.

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Reseña del editor

Excerpt from An Elementary Text-Book on the Differential and Integral Calculus

Tms text-book is designed with special reference to the needs of the undergraduate work in mathematics in American Colleges.

The preparation for it consists in fairly good elementary courses in Algebra, Geometry, Trigonometry, and Analytical Geometry.

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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