Geometry Plane And Fancy PDF Download
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Author | : David A. Singer |
Publisher | : Springer Science & Business Media |
Total Pages | : 171 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461206073 |
Download Geometry: Plane and Fancy Book in PDF, ePub and Kindle
A fascinating tour through parts of geometry students are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclids fifth postulate lead to interesting and different patterns and symmetries, and, in the process of examining geometric objects, the author incorporates the algebra of complex and hypercomplex numbers, some graph theory, and some topology. Interesting problems are scattered throughout the text. Nevertheless, the book merely assumes a course in Euclidean geometry at high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singers lively exposition and off-beat approach will greatly appeal both to students and mathematicians, and the contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.
Author | : Greg N. Frederickson |
Publisher | : Cambridge University Press |
Total Pages | : 334 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9780521525824 |
Download Dissections Book in PDF, ePub and Kindle
A comprehensive, beautifully illustrated survey accessible to anyone familiar with high school geometry.
Author | : Pierce MORTON |
Publisher | : |
Total Pages | : 322 |
Release | : 1847 |
Genre | : |
ISBN | : |
Download Geometry, plane, solid and spherical Book in PDF, ePub and Kindle
Author | : William Betz |
Publisher | : |
Total Pages | : 356 |
Release | : 1912 |
Genre | : Geometry, Plane |
ISBN | : |
Download Plane Geometry Book in PDF, ePub and Kindle
Author | : George Albert Wentworth |
Publisher | : |
Total Pages | : 500 |
Release | : 1899 |
Genre | : Geometry |
ISBN | : |
Download Plane and Solid Geometry Book in PDF, ePub and Kindle
Author | : John Charles Stone |
Publisher | : |
Total Pages | : 296 |
Release | : 1916 |
Genre | : Geometry |
ISBN | : |
Download Plane Geometry Book in PDF, ePub and Kindle
Author | : Andrew Wheeler Phillips |
Publisher | : |
Total Pages | : 276 |
Release | : 1896 |
Genre | : Geometry |
ISBN | : |
Download Elements of Geometry: Plane geometry Book in PDF, ePub and Kindle
Author | : John Wesley Young |
Publisher | : |
Total Pages | : 248 |
Release | : 1915 |
Genre | : Geometry, Modern |
ISBN | : |
Download Plane Geometry Book in PDF, ePub and Kindle
Author | : G.E. Martin |
Publisher | : Springer Science & Business Media |
Total Pages | : 525 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461257255 |
Download The Foundations of Geometry and the Non-Euclidean Plane Book in PDF, ePub and Kindle
This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.
Author | : Clara Avis Hart |
Publisher | : |
Total Pages | : 520 |
Release | : 1912 |
Genre | : Geometry |
ISBN | : |
Download Plane and Solid Geometry Book in PDF, ePub and Kindle