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Synopsis
Excerpt from Analytic Geometry: With Introductory Chapter on the Calculus
The object of this book is to present analytic geometry to the student in as natural and simple a manner as possible without losing mathematical rigor. The average student thinks visually instead of abstractly, and it is for the average student that this work has been written. It was prepared primarily to meet the requirements in mathematics for the second half of the first year at the Armour Institute of Technology. To make it adaptable to courses in other institutions of learning certain topics not usually taught in an engineering school have been added.
While it is useless to claim any great originality in treatment or in the selection of subject matter, the methods and illustrations have been thoroughly tested in the class room. It is believed that the topics are so presented as to bring the ideas within the grasp of students found in classes where mathematics is a required subject. No attempt has been made to be novel only; but the best ideas and treatment have been used, no matter how often they have appeared in other works on the subject.
The following points are to be especially noted:
(1) The great central idea is the passing from the geometric to the analytic and vice versa. This idea is held consistently throughout the book.
(2) In the beginning a broad foundation is laid in the I algebraic treatment of geometric ideas. Here the student should acquire the analytic method if he is to make a success of the course.
(3) Transformation of coordinates is given early and used frequently throughout the book, not confined to a single I chapter as is so frequently the case. The same may be said I of polar coordinates.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 1330577116
- ISBN 13 9781330577110
- BindingPaperback
- Number of pages363
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Analytic Geometry: With Introductory Chapter on the Calculus (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book offers a comprehensive and accessible introduction to analytic geometry, bridging the gap between abstract algebraic concepts and visual geometric representations. Written with the average student in mind, it emphasizes the practical application of mathematical principles, making it an ideal resource for those seeking to understand the fundamentals of this essential branch of mathematics. Emerging during a period of significant advancements in mathematics, this work reflects the growing recognition of the interconnectedness of algebra and geometry. The author skillfully demonstrates how these two disciplines can be used to illuminate and enhance one another, providing readers with a deeper understanding of both. Exploring key topics such as coordinate systems, equations of lines and curves, transformations, and the application of calculus to geometric problems, this book delves into the rich interplay between algebraic expressions and geometric shapes. Through numerous illustrative examples and exercises, readers are guided in developing their analytical skills and applying them to solve a variety of practical problems. Ultimately, this book's insights into the relationship between algebra and geometry empower readers to appreciate the elegance and power of mathematical reasoning, unlocking new avenues for exploring and understanding the world around them. Forgotten Books publishes hundreds of thousands of rare and classic books. This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. The digital edition of all books may be viewed on our website before purchase. print-on-demand item. Seller Inventory # 9781330577110_0
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Analytic Geometry With Introductory Chapter on the Calculus Classic Reprint
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