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Analytic Geometry and Principles of Algebra by Alexander Ziwet




Analytic Geometry and Principles Algebra - Table of Contents

  • 1. Coordinates
  • 2. The Straight Line
  • 3. Simultaneous Linear Equations
  • 4. Relations between Two or More Lines
  • 5. Permutations and Combinations, Determinants of any Order
  • 6. The Circle, Quadratic Equations
  • 7. Complex Numbers
  • 8. Polynomials, Numerical Equations
  • 9. Conic Sections, Equation of Second Degree
  • 11. Higher Plane Curves
  • 13. Coordinates
  • 14. The Plane and the Straight Line
  • 15. The Sphere
  • 16. Quadric Surfaces, Other Surfaces

What You Will Learn in Analytic Geometry and Principles Algebra

Analytic Geometry with Principles of Algebra by Alexander Ziwet and Louis Allen Hopkins is a masterfully written classical textbook connecting elementary algebra with geometric visualization. Serving as a foundational university study guide, this volume provides a robust framework for analytic geometry pdf problem solving practice.

The textbook systematically covers Cartesian coordinates, equations of straight lines, circle properties, conics sections (ellipse, parabola, hyperbola), transformation of coordinates, and an introduction to solid analytic geometry in three dimensions. By combining rigorous geometric constructions with algebraic proofs, Ziwet and Hopkins enable students to execute essential coordinate transformations and conic equations with complete precision.

Widely respected in historical mathematics education for its elegant proofs, clear logical sequence, and extensive problem sets, this vintage text serves as an exceptional self-study guide. The authors’ detailed exposition equips self-learners with key quantitative skills required for mastering classical analytical geometry principles.

Book Details & Specifications

Title: Analytic Geometry and Principles of Algebra by Alexander Ziwet
Publisher: The Macmillan Company
Year: 1913
Pages: 394
Type: PDF
Language: English
ISBN-10 #: 0554564637
ISBN-13 #: 978-0554564630
License: Public Domain Work
Amazon: Amazon

About the Author: Alexander Ziwet

The author Alexander Ziwet (1853–1928) was a distinguished Professor of Mathematics at the University of Michigan, renowned for his influential contributions to theoretical mechanics and geometry education.

His collaboration with Louis Allen Hopkins yielded classic analytic geometry and algebraic physics study guides.


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