Analytical Geometry & Differential and Integral Calculus by Charles Davies
Analytical Geometry and Calculus - Table of Contents
- 1. Points and Lines in a Plane and equations of the straight line
- 2. Of the Circle and properties of circular loci
- 3. Of the Ellipse and eccentricity of conic sections
- 4. Of the Parabola and directrix and focal properties
- 5. Of the Hyperbola and analysis of higher algebraic curves
- 6. Space — Point and Line, Plane and Surfaces, of the Plane, and surfaces of the second order
What You Will Learn in Analytical Geometry and Calculus
Elements of Analytical Geometry and of the Differential and Integral Calculus by Charles Davies is a foundational 19th-century American mathematics treatise engineered to provide a thorough, logical entry into higher analysis. Developed for military cadets and early engineering scholars, this text systematically breaks down core topics including coordinate systems, equations of the straight line, properties of the circle, parabola, ellipse, hyperbola, explicit differentiation, and fundamental integration into clear, sequential modules.
Tailored for undergraduate mathematics students, physics historians, and independent learners, Prof. Davies prioritizes clear geometric visualization alongside exact algebraic reasoning. The volume guides readers step-by-step through tangents, normals, curvature, maxima and minima, transcendental functions, area quadrature, and solid geometry. Whether solving classical rate problems or examining spatial loci, students will find this classic exposition invaluable.
Widely respected for its structural clarity, historical influence, and classic exercise sets, it stands as one of the best classical analytical geometry and calculus textbooks pdf available for independent study. It systematically equips learners with foundational analytical tools for mastering classical analysis with confidence.
Book Details & Specifications
Title:
Analytical Geometry & Differential and Integral 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 prominent American mathematician, educator, and West Point graduate who served as Professor of Mathematics at the United States Military Academy and later at Columbia College.
A pioneer of 19th-century mathematics curricula in the United States, Prof. Davies authored an extensive series of influential textbooks spanning arithmetic, algebra, geometry, calculus, and surveying that set the standard for academic instruction across the nation.
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