Analytic Geometry: With Introductory Chapter On the Calculus by Palmer and Krathwohl
Analytic Geometry with Calculus - Table of Contents
1. Introduction
2. Geometric Facts Expressed Analytically, and Conversely
3. Loci and Equations
4. The Straight Line and the General Equation of the First Degree
5. The Circle and Certain Forms of the Second Degree Equation
6. The Parabola and Certain Forms of the Second Degree Equation
7. The Ellipse and Certain Forms of the Second Degree Equation
8. The Hyperbola and Certain Forms of the Second DegreeEquation
9. Other Loci and Equations
10. Empirical Loci and Equations
11. Poles, Polars, and Diameters
12. Elements of Calculus
13. Solid Analytic Geometry
What You Will Learn in Analytic Geometry with Calculus
The book Analytic Geometry: With Introductory Chapter On the Calculus by Claude Irwin Palmer, William Charles Krathwohl is a classic mathematics textbook, provides a comprehensive introduction to "analytic geometry", starting with an introductory chapter on calculus to give readers the necessary tools for understanding geometric concepts algebraically. It is ideal for students, educators, and self-learners seeking a structured approach to "geometry and calculus".
The text covers the study of "lines, planes, curves, surfaces, and conic sections", emphasizing clear explanations, theoretical rigor, and practical problem-solving techniques. Each chapter presents methods for analyzing intersections, tangents, normals, and transformations, with numerous examples and exercises to reinforce learning. Palmer and Krathwohl’s approach ensures that complex geometric concepts are accessible while maintaining mathematical depth, making it suitable for advanced high school or early college students.
Originally published in 1921, this book is now in the "public domain", allowing free access for reading, downloading, and educational use. Its systematic presentation and focus on linking calculus with analytic geometry make it a timeless resource. The textbook remains valuable for anyone studying or teaching "mathematical analysis, geometry, or calculus", bridging classical methods with practical applications in problem-solving.
Book Details & Specifications
Title:
Analytic Geometry: With Introductory Chapter On the Calculus by Palmer and Krathwohl
Publisher:
McGraw-Hill
Year:
1921
Pages:
376
Type:
PDF
Language:
English
ISBN-10 #:
1144815231
ISBN-13 #:
978-1144815231
License:
Public Domain Work
Amazon:
Amazon
About the Author: Claude Irwin Palmer
The author Claude Irwin Palmer
was an early 20th-century mathematician and educator known for his expertise in "analytic geometry". He focused on making complex geometric and calculus concepts clear and accessible to students, emphasizing both "theoretical rigor and practical application". William Charles Krathwohl collaborated with Palmer to enhance the clarity and teaching approach of their textbooks. Together, they authored "Analytic Geometry: With Introductory Chapter on the Calculus" (1921), a structured and pedagogically strong guide for learning "geometry, conic sections, and calculus applications". Their work remains a valuable public domain resource for students and educators.
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Calculus with Analytical Geometry PDF | S.M. Yusuf & Solutions