Synopsis
Master analytic geometry with clear, step‑by‑step insights into surfaces, traces, and conic sections.
This concise guide, based on Tanner’s Brief Course in Analytic Geometry, presents how algebraic equations describe planes, surfaces, and curves in space. It explains how to use traces on coordinate planes to determine the nature of a surface, and how to visualize intersections, projections, and the formation of curves from pairs of surfaces. The book also covers surfaces of revolution, including cones, spheres, and spheroids, with practical examples to build intuition.
Readers will see how to convert complex equations into standard forms, learn the role of intercepts and normal forms, and follow step‑by‑step demonstrations that connect geometry to algebra. The material covers foundational topics like parabolas, ellipses, hyperbolas, and their special cases, with emphasis on interpretation and application rather than memorization.
- How to recognize surfaces and curves from algebraic equations and their intersections.
- Techniques for tracing surfaces on coordinate planes and using intercepts to deduce shape.
- Standard forms and geometric properties of parabolas, ellipses, and hyperbolas, plus revolved surfaces.
- Worked examples and exercises that build confidence in solving conic and quadric problems.
Ideal for students beginning analytic geometry or reviewing the fundamentals of conic sections and surface theory.
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About the Author
JOSEPH P. ALLEN is President of the Robert C. Byrd National Technology Transfer Center at Wheeling Jesuit University in West Virginia. Allen has also served as the Director of the Office of Technology Commercialization at the U.S. Department of Commerce.
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Brief Course in Analytic Geometry (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book establishes an accessible theoretical framework for understanding the foundations of diverse algebraic and geometric concepts in analytic geometry. The framework is built from first principles, demonstrating the interconnections between coordinate systems, locus of equations, and the properties of conic sections. The author deftly guides readers through crucial concepts such as direction, distance, area, and tangents, proving theorems with the help of straightforward explanations, detailed diagrams, and real-life examples. By approaching the subject from a historical perspective, the author provides a glimpse into the development of analytic geometry, highlighting its profound significance. The work culminates in an exploration of applications to areas such as calculus and further mathematics, showcasing the practical relevance of analytic geometry. This book is an invaluable resource for students, educators, and anyone seeking a deeper understanding of the subject's foundational concepts and their wider implications in mathematics and beyond. 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. Seller Inventory # 9781330256473_0
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Brief Course in Analytic Geometry Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330256473
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BRIEF COURSE IN ANALYTIC GEOME
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Condition: New. KlappentextrnrnExcerpt from Brief Course in Analytic GeometryIN their Elementary Course in Analytic Geometry the authors of this book endeavored to prepare a text suitable for the general student, as well as for the student who desires a. Seller Inventory # 2147743747
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