""The Principles of the Differential and Integral Calculus: And Their Application to Geometry"" is a comprehensive guide to the fundamental principles of calculus and their practical applications to geometry. Written by Washington McCartney and first published in 1847, this book provides an in-depth exploration of the concepts of differential and integral calculus, including their historical development and their significance in the field of mathematics. The book is divided into several chapters, each of which covers a different aspect of calculus. The first chapter introduces readers to the basic principles of calculus, including limits, derivatives, and integrals. Subsequent chapters delve deeper into these concepts, exploring topics such as differential equations, partial derivatives, and multiple integrals. Throughout the book, McCartney provides numerous examples and exercises to help readers better understand the material. He also includes a section on the practical applications of calculus to geometry, such as finding the area and volume of geometric shapes using calculus. Overall, ""The Principles of the Differential and Integral Calculus: And Their Application to Geometry"" is an essential resource for anyone interested in mastering the principles of calculus and their practical applications to geometry.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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