Analytical Geometry & Differential and Integral Calculus by Gerardus Docharty
Analytical Geometry and Calculus - Table of Contents
- 1. Analytical Geometry and conic sections analysis
- 2. Differential Calculus and differentiation of algebraic functions
- 3. Elements of The Integral Calculus and integration methods applications
What You Will Learn in Analytical Geometry and Calculus
Elements of Analytical Geometry, and of the Differential and Integral Calculus by Gerardus Beekman Docharty is a revered 19th-century mathematics textbook structured to provide students with a rigorous, accessible progression from planar geometry to classical calculus. Written during an era of rapid expansion in American higher education, this volume systematically breaks down core topics including co-ordinate systems, straight line equations, properties of the circle, parabola, ellipse, hyperbola, limits, explicit differentiation, and fundamental integration.
Tailored for undergraduate students, science majors, and educators of historical analysis, Prof. Docharty balances precise algebraic deductions with intuitive geometric representations. The reader is guided step-by-step through tangents, normals, maxima and minima, transcendental functions, area quadrature, and solid geometry. Whether analyzing plane curves or evaluating early physical applications of the definite integral, learners will find this clear exposition invaluable.
Widely celebrated for its historical importance, systematic organization, and classic problem sets, it stands as one of the best historical analytical geometry and calculus textbooks pdf available for independent study. It systematically equips students with foundational analytical tools for mastering classical analysis with confidence.
Book Details & Specifications
Title:
Analytical Geometry & Differential and Integral Calculus by Gerardus Docharty
Publisher:
Harper & brothers
Year:
1867
Pages:
312
Type:
PDF
Language:
English
ISBN-10 #:
0484319361
ISBN-13 #:
978-0484319362
License:
Public Domain Work
Amazon:
Amazon
About the Author: Gerardus Beekman Docharty
The author Gerardus Beekman Docharty
was a 19th-century American "mathematics educator" and textbook author. He served as a professor of pure mathematics at New York Free Academy and contributed significantly to mathematics education in the United States. His teaching focused on clarity, logical progression, and bridging algebra, geometry, and calculus. Docharty authored several influential works, including "Elements of Analytical Geometry, and of the Differential and Integral Calculus", "The Institutes of Algebra", and texts on geometry and trigonometry. His books remain valuable for understanding the historical development of mathematical instruction and the structured approach of classical "mathematics textbooks".
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