An Introduction to Plane Geometry
Author: Henry Frederick Baker
Publisher: Chelsea Publishing Company, Incorporated
Published: 1971
Total Pages: 400
ISBN-13:
DOWNLOAD EBOOKPosts
An Introduction to Plane Geometry with Many Examples
Author: H. F. Baker
Publisher:
Published: 1971
Total Pages: 390
ISBN-13:
DOWNLOAD EBOOKFoundations of Plane Geometry
Author: Harvey I. Blau
Publisher:
Published: 2003
Total Pages: 0
ISBN-13: 9780130479549
DOWNLOAD EBOOKIdeal for users who may have little previous experience with abstraction and proof, this book provides a rigorous and unified--yet straightforward and accessible --exposition of the foundations of Euclidean, hyperbolic, and spherical geometry. Unique in approach, it combines an extended theme--the study of a generalized absolute plane from axioms through classification into the three fundamental classical planes--with a leisurely development that allows ample time for mathematical growth. It is purposefully structured to facilitate the development of analytic and reasoning skills and to promote an awareness of the depth, power, and subtlety of the axiomatic method in general, and of Euclidean and non-Euclidean plane geometry in particular. Focus on one main topic--The axiomatic development of the absolute plane--which is pursued through a classification into Euclidean, hyperbolic, and spherical planes. Presents specific models such as the sphere, the Klein-Betrami hyperbolic model, and the "gap" plane. Gradually presents axioms for absolute plane geometry.
Euclidean Plane and Its Relatives
Author: Anton Petrunin
Publisher:
Published: 2016-09-13
Total Pages: 192
ISBN-13: 9781537649511
DOWNLOAD EBOOKThe book grew from my lecture notes. It is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalistic.
A High School First Course in Euclidean Plane Geometry
Author: Charles H. Aboughantous
Publisher: Universal-Publishers
Published: 2010-10
Total Pages: 166
ISBN-13: 1599428229
DOWNLOAD EBOOKA High School First Course in Euclidean Plane Geometry is intended to be a first course in plane geometry at the high school level. Individuals who do not have a formal background in geometry can also benefit from studying the subject using this book. The content of the book is based on Euclid's five postulates of plane geometry and the most common theorems. It promotes the art and the skills of developing logical proofs. Most of the theorems are provided with detailed proofs. A large number of sample problems are presented throughout the book with detailed solutions. Practice problems are included at the end of each chapter and are presented in three groups: geometric construction problems, computational problems, and theorematical problems. The answers to the computational problems are included at the end of the book. Many of those problems are simplified classic engineering problems that can be solved by average students. The detailed solutions to all the problems in the book are contained in the Solutions Manual. A High School First Course in Euclidean Plane Geometry is the distillation of the author's experience in teaching geometry over many years in U.S. high schools and overseas. The book is best described in the introduction. The prologue offers a study guide to get the most benefits from the book.
Lectures on Analytic and Projective Geometry
Author: Dirk J. Struik
Publisher: Courier Corporation
Published: 2011-10-24
Total Pages: 306
ISBN-13: 0486485951
DOWNLOAD EBOOKThis undergraduate text develops the geometry of plane and space, leading up to conics and quadrics, within the context of metrical, affine, and projective transformations. 1953 edition.
The Four Pillars of Geometry
Author: John Stillwell
Publisher: Springer Science & Business Media
Published: 2005-08-09
Total Pages: 240
ISBN-13: 0387255303
DOWNLOAD EBOOKThis book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Euclides Vindicatus
Author: Girolamo Saccheri
Publisher: American Mathematical Soc.
Published: 1986
Total Pages: 288
ISBN-13: 9780828402897
DOWNLOAD EBOOKPresents the axiom systems of non-Euclidean geometry. This book states and proves theorem after theorem of (hyperbolic) non-Euclidean geometry.
Elementary Euclidean Geometry
Author: C. G. Gibson
Publisher: Cambridge University Press
Published: 2003
Total Pages: 194
ISBN-13: 9780521834483
DOWNLOAD EBOOKThis book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.
Kiselev's Geometry
Author: Andreĭ Petrovich Kiselev
Publisher:
Published: 2008
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOKThis volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.
