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Synopsis
Excerpt from Brief Course in Analytic Geometry
In 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 definite scientific training, including preparation for advanced mathematical study. The success of the "Elementary Course" has been demonstrated by its adoption and continued use in many of the leading colleges and scientific schools.
Since the publication of that text, however, there has been a growing desire for a somewhat briefer book preserving the same rigor of proofs and careful analysis, but omitting or shortening the less important details. The "Brief Course in Analytic Geometry" is prepared to meet this demand.
The chief features of the "Elementary Course" which have won such universal approval have been included. These are:
(1) An extended introduction to the method of the analytic geometry, - showing the value of the interpretation of the negative number by means of coordinates, the relation of the locus to the equation, and the use of the equation to find and demonstrate properties of the locus.
(2) Introduction of the demonstration of general theorems by numerical examples, in order to make clear the method used before bringing in the added difficulties of literal notation and general proofs.
(3) The use of some intrinsic properties of curves, to emphasize further the fact that the coordinates are a tool, an intermediate device, not essential to the properties which are studied by their aid.
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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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- PublisherForgotten Books
- Publication date2017
- ISBN 10 1330256476
- ISBN 13 9781330256473
- BindingPaperback
- LanguageEnglish
- Number of pages320
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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 Geometry Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330256473
Quantity: 15 available