Elements of Plane Analytical Geometry (Classic Reprint)
Elements of Plane Analytical Geometry (Classic Reprint)

Author: John Daniel Runkle

Publisher: Forgotten Books

Published: 2018-05

Total Pages: 364

ISBN-13: 9780332966908

DOWNLOAD EBOOK

Excerpt from Elements of Plane Analytical Geometry My greatest indebtedness is due to the excellent work on Conic Sections by Professor Salmon, and to An Elementary Treatise on Conic Sections by Charles Smith, m.a., Fellow and Tutor of Sydney Sussex College, Cambridge, England. In the later chapters it will be seen that I have followed Mr. Smith's book quite closely, and have taken from it many examples, with the solutions of several of them. I h0pe in due time to follow this book with a brief elementary treatise on Solid Analytic Geometry. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com 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.

Problems in Analytic Geometry
Problems in Analytic Geometry

Author: D Kletenik

Publisher: The Minerva Group, Inc.

Published: 2002

Total Pages: 300

ISBN-13: 0898757142

DOWNLOAD EBOOK

A translation of a Soviet text covering plane analytic geometry and solid analytic geometry.

Solid Analytic Geometry
Solid Analytic Geometry

Author: Abraham Adrian Albert

Publisher: Courier Dover Publications

Published: 2016-07-19

Total Pages: 178

ISBN-13: 0486814688

DOWNLOAD EBOOK

Concise text covers basics of solid analytic geometry and provides ample material for a one-semester course. Additional chapters on spherical coordinates and projective geometry suitable for longer courses or supplementary study. 1949 edition.

The Advanced Geometry of Plane Curves and Their Applications
The Advanced Geometry of Plane Curves and Their Applications

Author: C. Zwikker

Publisher: Courier Corporation

Published: 2011-11-30

Total Pages: 316

ISBN-13: 0486153436

DOWNLOAD EBOOK

"Of chief interest to mathematicians, but physicists and others will be fascinated ... and intrigued by the fruitful use of non-Cartesian methods. Students ... should find the book stimulating." — British Journal of Applied Physics This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. Its wide coverage, which includes both algebraic and transcendental curves, extends to unusual properties of familiar curves along with the nature of lesser known curves. Informative discussions of the line, circle, parabola, ellipse, and hyperbola presuppose only the most elementary facts. The less common curves — cissoid, strophoid, spirals, the leminscate, cycloid, epicycloid, cardioid, and many others — receive introductions that explain both their basic and advanced properties. Derived curves-the involute, evolute, pedal curve, envelope, and orthogonal trajectories-are also examined, with definitions of their important applications. These range through the fields of optics, electric circuit design, hydraulics, hydrodynamics, classical mechanics, electromagnetism, crystallography, gear design, road engineering, orbits of subatomic particles, and similar areas in physics and engineering. The author represents the points of the curves by complex numbers, rather than the real Cartesian coordinates, an approach that permits simple, direct, and elegant proofs.

The Elements of Plane and Solid Analytic Geometry (Classic Reprint)
The Elements of Plane and Solid Analytic Geometry (Classic Reprint)

Author: Albert L. Candy

Publisher:

Published: 2016-06-26

Total Pages: 276

ISBN-13: 9781332773947

DOWNLOAD EBOOK

Excerpt from The Elements of Plane and Solid Analytic Geometry Polar coordinates and their relations to rectangular coordinates have been introduced at the very beginning. The conic section is first brie y studied geometrically. Its defining property is proved in this way, from which its general equation is shown to be of the second degree. The two central conics are treated simultaneously by using the double Sign in the standard equation. In this way much time is saved, and the similarities of the properties of the two conics are presented in a striking manner. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com 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."

Exploring Analytic Geometry with Mathematica
Exploring Analytic Geometry with Mathematica

Author: Donald L. Vossler

Publisher: Academic Press

Published: 2000

Total Pages: 865

ISBN-13: 9780127282558

DOWNLOAD EBOOK

The study of two-dimensional analytic geometry has gone in and out of fashion several times over the past century, however this classic field of mathematics has once again become popular due to the growing power of personal computers and the availability of powerful mathematical software systems, such as Mathematica, that can provide an interactive environment for studying the field. By combining the power of Mathematica with an analytic geometry software system called Descarta2D, the author has succeeded in meshing an ancient field of study with modern computational tools, the result being a simple, yet powerful, approach to studying analytic geometry. Students, engineers and mathematicians alike who are interested in analytic geometry can use this book and software for the study, research or just plain enjoyment of analytic geometry. Mathematica provides an attractive environment for studying analytic geometry. Mathematica supports both numeric and symbolic computations meaning that geometry problems can be solved for special cases using numbers, as well as general cases producing formulas. Mathematica also has good facilities for producing graphical plots which are useful for visualizing the graphs of two-dimensional geometry. * A classic study in analytic geometry, complete with in-line Mathematica dialogs illustrating every concept as it is introduced * Excellent theoretical presentation *Fully explained examples of all key concepts * Interactive Mathematica notebooks for the entire book * Provides a complete computer-based environment for study of analytic geometry * All chapters and reference material are provided on CD-ROM in addition to being printedin the book * Complete software system: Descarta2D * A software system, including source code, for the underlying computer implementation, called Descarta2D is provided * Part VII of the book is a listing of the (30) Mathematica files supporting Descarta2D; the source code is also supplied on CD-ROM * Explorations * More than 120 challenging problems in analytic geometry are posed; Complete solutions are provided both as interactive Mathematica notebooks on CD-ROM and as printed material in the book * Mathematica and Descarta2D Hints expand the reader's knowledge and understanding of Descarta2D and Mathematica * Sortware developed with Mathematica 3.0 and is compatible with Mathematica 4.0 * Detailed reference manual * Complete documentation for Descarta2D * Fully integrated into the Mathematica Help Browser