Author: H. S. M. Coxeter
Publisher: American Mathematical Society
ISBN: 1470466414
Category : Mathematics
Languages : en
Pages : 193
Book Description
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Geometry Revisited
Author: H. S. M. Coxeter
Publisher: MAA
ISBN: 9780883856192
Category : Mathematics
Languages : en
Pages : 212
Book Description
A fascinating collection of geometric proofs and properties.
Publisher: MAA
ISBN: 9780883856192
Category : Mathematics
Languages : en
Pages : 212
Book Description
A fascinating collection of geometric proofs and properties.
Geometry Revisited
Author: H. S. M. Coxeter
Publisher: American Mathematical Society
ISBN: 1470466414
Category : Mathematics
Languages : en
Pages : 193
Book Description
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Publisher: American Mathematical Society
ISBN: 1470466414
Category : Mathematics
Languages : en
Pages : 193
Book Description
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Introduction to Geometry
Author: Harold Scott Macdonald Coxeter
Publisher:
ISBN:
Category :
Languages : en
Pages : 469
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 469
Book Description
Geometry Revisited
The Four Pillars of Geometry
Author: John Stillwell
Publisher: Springer Science & Business Media
ISBN: 0387255303
Category : Mathematics
Languages : en
Pages : 240
Book Description
This 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
Publisher: Springer Science & Business Media
ISBN: 0387255303
Category : Mathematics
Languages : en
Pages : 240
Book Description
This 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
Numbers and Shapes Revisited
Author: Judita Cofman
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 334
Book Description
By focusing attention on the links between patterns of numbers and shapes, and on connections between algebraic relations and geometric and combinatorial configurations, the book aims to motivate deeper study of the concepts related to elementary mathematics, emphasize the importance of the interrelations between mathematical phenomena, and foster the interplay of ideas involved in problem solving.
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 334
Book Description
By focusing attention on the links between patterns of numbers and shapes, and on connections between algebraic relations and geometric and combinatorial configurations, the book aims to motivate deeper study of the concepts related to elementary mathematics, emphasize the importance of the interrelations between mathematical phenomena, and foster the interplay of ideas involved in problem solving.
Advanced Euclidean Geometry
Author: Roger A. Johnson
Publisher: Courier Corporation
ISBN: 048615498X
Category : Mathematics
Languages : en
Pages : 338
Book Description
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.
Publisher: Courier Corporation
ISBN: 048615498X
Category : Mathematics
Languages : en
Pages : 338
Book Description
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.
Geometry Revisited
Author: Harold S. M. Coxeter
Publisher:
ISBN:
Category :
Languages : en
Pages : 193
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 193
Book Description
Calculus Revisited
Author: R.W. Carroll
Publisher: Springer Science & Business Media
ISBN: 9781402010606
Category : Computers
Languages : en
Pages : 534
Book Description
In this book the details of many calculations are provided for access to work in quantum groups, algebraic differential calculus, noncommutative geometry, fuzzy physics, discrete geometry, gauge theory, quantum integrable systems, braiding, finite topological spaces, some aspects of geometry and quantum mechanics and gravity.
Publisher: Springer Science & Business Media
ISBN: 9781402010606
Category : Computers
Languages : en
Pages : 534
Book Description
In this book the details of many calculations are provided for access to work in quantum groups, algebraic differential calculus, noncommutative geometry, fuzzy physics, discrete geometry, gauge theory, quantum integrable systems, braiding, finite topological spaces, some aspects of geometry and quantum mechanics and gravity.
Episodes in Nineteenth and Twentieth Century Euclidean Geometry
Author: Ross Honsberger
Publisher: Cambridge University Press
ISBN: 9780883856390
Category : Mathematics
Languages : en
Pages : 196
Book Description
Professor Honsberger has succeeded in 'finding' and 'extricating' unexpected and little known properties of such fundamental figures as triangles, results that deserve to be better known. He has laid the foundations for his proofs with almost entirely synthetic methods easily accessible to students of Euclidean geometry early on. While in most of his other books Honsberger presents each of his gems, morsels, and plums, as self contained tidbits, in this volume he connects chapters with some deductive treads. He includes exercises and gives their solutions at the end of the book. In addition to appealing to lovers of synthetic geometry, this book will stimulate also those who, in this era of revitalizing geometry, will want to try their hands at deriving the results by analytic methods. Many of the incidence properties call to mind the duality principle; other results tempt the reader to prove them by vector methods, or by projective transformations, or complex numbers.
Publisher: Cambridge University Press
ISBN: 9780883856390
Category : Mathematics
Languages : en
Pages : 196
Book Description
Professor Honsberger has succeeded in 'finding' and 'extricating' unexpected and little known properties of such fundamental figures as triangles, results that deserve to be better known. He has laid the foundations for his proofs with almost entirely synthetic methods easily accessible to students of Euclidean geometry early on. While in most of his other books Honsberger presents each of his gems, morsels, and plums, as self contained tidbits, in this volume he connects chapters with some deductive treads. He includes exercises and gives their solutions at the end of the book. In addition to appealing to lovers of synthetic geometry, this book will stimulate also those who, in this era of revitalizing geometry, will want to try their hands at deriving the results by analytic methods. Many of the incidence properties call to mind the duality principle; other results tempt the reader to prove them by vector methods, or by projective transformations, or complex numbers.