Elements of Analytical Geometry & Diff. and Int. Calculus by Charles Davies
Analytical Geometry and Calculus - Table of Contents
1. Points and Lines in a Plans
2. Of the Circle
3. Of the Ellipse
4. Of the Parabola
5. Of the Hyperbola and Algebraic Curves.
6. Space — Point and Line, Plane and Surfaces, of the Plane, Surfaces of the Second Order
What You Will Learn in Analytical Geometry and Calculus
"Elements of Analytical Geometry & Differential and Integral Calculus" by Charles Davies is a classic 19th-century "mathematics textbook" widely used in American schools and military academies. Davies, a professor at West Point, aimed to provide clear and logical explanations of fundamental concepts. This book covers "analytical geometry", including points, lines, conic sections, and surfaces, alongside the principles of "differential and integral calculus", such as derivatives, integrals, and applications to curves.
The text is structured to guide students step by step, starting with the basics of functions and differentials, progressing to integration techniques, series, and curve quadrature. Some editions combine both geometry and calculus into a single volume, making it a comprehensive resource for learners of the era. Its clarity, systematic approach, and practical examples made it a standard reference for decades, reflecting the pedagogical style of the 1800s.
Today, the book serves as both a "historical reference" and a study tool for understanding classical approaches to mathematics. It demonstrates how 19th-century scholars taught complex topics in an accessible way, emphasizing rigor without modern notation. Collectors, historians, and mathematics enthusiasts value it for its thorough treatment of calculus and analytic geometry in a single, authoritative work.
Book Details & Specifications
Title:
Elements of Analytical Geometry & Diff. and Int. Calculus by Charles Davies
Publisher:
A. S. Barnes & Burr
Year:
1860
Pages:
408
Type:
PDF
Language:
English
ISBN-10 #:
3337947646
ISBN-13 #:
978-3337947644
License:
Public Domain Work
Amazon:
Amazon
About the Author: Charles Davies
The author
Charles Davies
(1798–1876) was a pioneering American "mathematics educator" and textbook author. A professor at the United States Military Academy (West Point), he helped shape the curriculum in algebra, "analytical geometry", and "calculus", educating generations of engineers and mathematicians. His teaching emphasized clarity, logic, and practical application, making complex topics accessible to students. Davies authored a series of influential textbooks, including "Elements of Analytical Geometry & Differential and Integral Calculus", widely used across the U.S.
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