Author: William Whitehead RupertPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 180
Book Description
Famous Geometrical Theorems and Problems
Author: William Whitehead RupertPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 180
Book Description
Famous Geometrical Theorems and Problems, with Their History
Author: William Whitehead RupertPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 28
Book Description
Famous Geometrical Theorems and Problems, with Their History
Author: William Whitehead RupertPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 44
Book Description
Famous Problems of Geometry and How to Solve Them
Author: Benjamin BoldPublisher: Courier Corporation
ISBN: 0486137635
Category : Science
Languages : en
Pages : 148
Book Description
Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
Transformational Plane Geometry
Author: Ronald N. UmblePublisher: CRC Press
ISBN: 1482234718
Category : Mathematics
Languages : en
Pages : 239
Book Description
Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The text adheres to the National Council of Teachers of Mathematics Principles and Standards for School Mathematics and the Common Core State Standards Initiative Standards for Mathematical Practice. Future teachers will acquire the skills needed to effectively apply these standards in their classrooms. Following Felix Klein’s Erlangen Program, the book provides students in pure mathematics and students in teacher training programs with a concrete visual alternative to Euclid’s purely axiomatic approach to plane geometry. It enables geometrical visualization in three ways: Key concepts are motivated with exploratory activities using software specifically designed for performing geometrical constructions, such as Geometer’s Sketchpad. Each concept is introduced synthetically (without coordinates) and analytically (with coordinates). Exercises include numerous geometric constructions that use a reflecting instrument, such as a MIRA. After reviewing the essential principles of classical Euclidean geometry, the book covers general transformations of the plane with particular attention to translations, rotations, reflections, stretches, and their compositions. The authors apply these transformations to study congruence, similarity, and symmetry of plane figures and to classify the isometries and similarities of the plane.
Advanced Euclidean Geometry
Author: Roger A. JohnsonPublisher: 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.
The Girl who Played with Fire
Author: Stieg LarssonPublisher: Vintage
ISBN: 0307476154
Category : Blomkvist, Mikael (Fictitious character)
Languages : en
Pages : 738
Book Description
When the reporters to a sex-trafficking exposé are murdered and computer hacker Lisbeth Salander is targeted as the killer, Mikael Blomkvist, the publisher of the exposé, investigates to clear Lisbeth's name.
Challenging Problems in Geometry
Author: Alfred S. PosamentierPublisher: Courier Corporation
ISBN: 0486134865
Category : Mathematics
Languages : en
Pages : 275
Book Description
Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.
Famous Problems, and Other Monographs
Author: Felix KleinPublisher:
ISBN: 9780828401081
Category : Calculus of tensors
Languages : en
Pages : 321
Book Description
Euclidean Geometry in Mathematical Olympiads
Author: Evan ChenPublisher: American Mathematical Soc.
ISBN: 1470466201
Category : Education
Languages : en
Pages : 311
Book Description
This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.