Methods for Euclidean Geometry
Title | Methods for Euclidean Geometry PDF eBook |
Author | Owen Byer |
Publisher | American Mathematical Soc. |
Total Pages | 461 |
Release | 2010-12-31 |
Genre | Mathematics |
ISBN | 0883857634 |
Euclidean plane geometry is one of the oldest and most beautiful topics in mathematics. Instead of carefully building geometries from axiom sets, this book uses a wealth of methods to solve problems in Euclidean geometry. Many of these methods arose where existing techniques proved inadequate. In several cases, the new ideas used in solving specific problems later developed into independent areas of mathematics. This book is primarily a geometry textbook, but studying geometry in this way will also develop students' appreciation of the subject and of mathematics as a whole. For instance, despite the fact that the analytic method has been part of mathematics for four centuries, it is rarely a tool a student considers using when faced with a geometry problem. Methods for Euclidean Geometry explores the application of a broad range of mathematical topics to the solution of Euclidean problems.
Methods for Euclidean Geometry
Title | Methods for Euclidean Geometry PDF eBook |
Author | Owen Byer |
Publisher | Courier Dover Publications |
Total Pages | 576 |
Release | 2021-05-19 |
Genre | Mathematics |
ISBN | 0486847268 |
"This book explores the application of a broad range of mathematical techniques to the solution of Euclidean problems"--
Advanced Euclidean Geometry
Title | Advanced Euclidean Geometry PDF eBook |
Author | Roger A. Johnson |
Publisher | Courier Corporation |
Total Pages | 338 |
Release | 2013-01-08 |
Genre | Mathematics |
ISBN | 048615498X |
This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
Problems and Solutions in Euclidean Geometry
Title | Problems and Solutions in Euclidean Geometry PDF eBook |
Author | M. N. Aref |
Publisher | Courier Corporation |
Total Pages | 274 |
Release | 2010-01-01 |
Genre | Mathematics |
ISBN | 0486477207 |
Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.
Elementary Euclidean Geometry
Title | Elementary Euclidean Geometry PDF eBook |
Author | C. G. Gibson |
Publisher | Cambridge University Press |
Total Pages | 194 |
Release | 2003 |
Genre | Mathematics |
ISBN | 9780521834483 |
This book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.
Methods for Euclidean Geometry
Title | Methods for Euclidean Geometry PDF eBook |
Author | Owen Byer |
Publisher | American Mathematical Soc. |
Total Pages | 461 |
Release | 2010-12-31 |
Genre | Mathematics |
ISBN | 1470457121 |
Euclidean plane geometry is one of the oldest and most beautiful topics in mathematics. Instead of carefully building geometries from axiom sets, this book uses a wealth of methods to solve problems in Euclidean geometry. Many of these methods arose where existing techniques proved inadequate. In several cases, the new ideas used in solving specific problems later developed into independent areas of mathematics. This book is primarily a geometry textbook, but studying geometry in this way will also develop students' appreciation of the subject and of mathematics as a whole. For instance, despite the fact that the analytic method has been part of mathematics for four centuries, it is rarely a tool a student considers using when faced with a geometry problem. Methods for Euclidean Geometry explores the application of a broad range of mathematical topics to the solution of Euclidean problems.
Geometry: Euclid and Beyond
Title | Geometry: Euclid and Beyond PDF eBook |
Author | Robin Hartshorne |
Publisher | Springer Science & Business Media |
Total Pages | 535 |
Release | 2013-11-11 |
Genre | Mathematics |
ISBN | 0387226761 |
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.