Inhaltsangabe
Master analytic geometry with a clear, systematized approach. This classic treatise guides you through coordinates, loci, and the geometry of curves with algebraic tools you can apply directly to problems.
This edition presents a focused path from basic co-ordinates to advanced topics like the parabola, hyperbola, ellipse, and spirals, emphasizing principles you can memorize and apply. It shows how classic ideas (like polar and rectangular forms) fit together, and it highlights practical methods for tracing curves and understanding tangents, normals, and polar relations.
- Foundational coordinate systems, including Cartesian, polar, and other co-ordinate schemes, with emphasis on clear definitions and practical use.
- Step-by-step treatment of key curves—circles, parabolas, hyperbolas, and ellipses—and their tangents, normals, and equations in various coordinates.
- Advanced topics such as polar equations, loci, and the role of symmetry, designed to help you read and solve analytic-geometry problems more efficiently.
- Connections to broader ideas like spirals and transcendental curves, showing how different representations relate to each other.
Ideal for students building a solid foundation in analytic geometry, and for anyone seeking a rigorous, math-leaning reference that stays practical and readable. This edition is well-suited to courses with flexible lengths and to self-learners who want a structured progression from basics to more complex topics.
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Treatise on the Principles and Applications of Analytic Geometry
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Paperback. Zustand: New. Print on Demand. This book explores analytic geometry, an approach to geometry that uses the tools and concepts of algebra. The author presents a systematic approach to the subject, beginning with the basics of coordinate systems and progressing to more advanced topics such as equations of curves and surfaces. This book is not just a collection of formulas and theorems, but rather provides a deep understanding of the underlying principles of analytic geometry. The author carefully explains the geometric concepts behind each algebraic equation, and shows how to use algebraic techniques to solve geometric problems. This book is an excellent resource for students and professionals who want to learn about analytic geometry, and it is also a valuable reference for anyone who uses analytic geometry in their work. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781330130551_0
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Treatise on the Principles and Applications of Analytic Geometry Classic Reprint
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Treatise on the Principles and Applications of Analytic Geometry Classic Reprint
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Treatise on the Principles and Applications of Analytic Geometry (Classic Reprint)
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