Methods For Euclidean Geometry
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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.
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"--
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.
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.
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.
Author | : James T. Smith |
Publisher | : John Wiley & Sons |
Total Pages | : 486 |
Release | : 2011-03-01 |
Genre | : Mathematics |
ISBN | : 1118031032 |
A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach. The author develops a wide range ofsubject areas at an intermediate level and explains how theoriesthat underlie many fields of advanced mathematics ultimately leadto applications in science and engineering. Foundations, basicEuclidean geometry, and transformations are discussed in detail andapplied to study advanced plane geometry, polyhedra, isometries,similarities, and symmetry. An excellent introduction to advancedconcepts as well as a reference to techniques for use inindependent study and research, Methods of Geometry alsofeatures: Ample exercises designed to promote effective problem-solvingstrategies Insight into novel uses of Euclidean geometry More than 300 figures accompanying definitions and proofs A comprehensive and annotated bibliography Appendices reviewing vector and matrix algebra, least upperbound principle, and equivalence relations An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.
Author | : Clayton W. Dodge |
Publisher | : Courier Corporation |
Total Pages | : 306 |
Release | : 2012-04-26 |
Genre | : Mathematics |
ISBN | : 0486138429 |
This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
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.
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.
Author | : Euclid |
Publisher | : |
Total Pages | : 544 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : |
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.