Geometry: The Line and the Circle
Title | Geometry: The Line and the Circle PDF eBook |
Author | Maureen T. Carroll |
Publisher | American Mathematical Soc. |
Pages | 502 |
Release | 2018-12-20 |
Genre | Mathematics |
ISBN | 1470448432 |
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.
Modern Geometry
Title | Modern Geometry PDF eBook |
Author | Clement Vavasor Durell |
Publisher | |
Pages | 168 |
Release | 1920 |
Genre | Geometry, Modern |
ISBN |
An Inductive Manual of the Straight Line and the Circle
Title | An Inductive Manual of the Straight Line and the Circle PDF eBook |
Author | William John Meyers |
Publisher | |
Pages | 133 |
Release | 1894 |
Genre | Geometry |
ISBN |
Three Lines in a Circle
Title | Three Lines in a Circle PDF eBook |
Author | Michael G. Long |
Publisher | Presbyterian Publishing Corp |
Pages | 0 |
Release | 2021-08-31 |
Genre | Juvenile Fiction |
ISBN | 1646981960 |
One line straight down. One line to the right. One line to the left, then a circle. That was all—just three lines in a circle. This bold picture book tells the story of the peace symbol—designed in 1958 by a London activist protesting nuclear weapons—and how it inspired people all over the world. Depicting the symbol's travels from peace marches and liberation movements to the end of apartheid and the fall of the Berlin Wall, Three Lines in a Circle offers a message of inspiration to today's children and adults who are working to create social change. An author’s note provides historical background and a time line of late twentieth-century peace movements.
A Treatise on the Circle and the Sphere
Title | A Treatise on the Circle and the Sphere PDF eBook |
Author | Julian Lowell Coolidge |
Publisher | |
Pages | 603 |
Release | 1916 |
Genre | Circle |
ISBN |
Elementary Geometry from an Advanced Standpoint
Title | Elementary Geometry from an Advanced Standpoint PDF eBook |
Author | Edwin E. Moise |
Publisher | Addison Wesley |
Pages | 520 |
Release | 1990 |
Genre | Business & Economics |
ISBN |
Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24.
The Sight-Size Cast
Title | The Sight-Size Cast PDF eBook |
Author | Darren Rousar |
Publisher | Velatura Press, LLC |
Pages | 320 |
Release | 2018-10-03 |
Genre | Art |
ISBN | 9780980045482 |
Within The Sight-Size Cast is everything you ever wanted to know about Sight-Size cast drawing and painting, impressionistic seeing, and the ways in which many of the ateliers that stem from R. H. Ives Gammell and Richard Lack teach their students. You can learn how to see through Sight-Size with Darren Rousar's book, The Sight-Size Cast.