0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Geometry > Non-Euclidean geometry

Buy Now

Barycentric Calculus In Euclidean And Hyperbolic Geometry: A Comparative Introduction (Hardcover) Loot Price: R3,438
Discovery Miles 34 380
Barycentric Calculus In Euclidean And Hyperbolic Geometry: A Comparative Introduction (Hardcover): Abraham Albert Ungar

Barycentric Calculus In Euclidean And Hyperbolic Geometry: A Comparative Introduction (Hardcover)

Abraham Albert Ungar

 (sign in to rate)
Loot Price R3,438 Discovery Miles 34 380 | Repayment Terms: R322 pm x 12*

Bookmark and Share

Expected to ship within 12 - 17 working days

The word barycentric is derived from the Greek word barys (heavy), and refers to center of gravity. Barycentric calculus is a method of treating geometry by considering a point as the center of gravity of certain other points to which weights are ascribed. Hence, in particular, barycentric calculus provides excellent insight into triangle centers. This unique book on barycentric calculus in Euclidean and hyperbolic geometry provides an introduction to the fascinating and beautiful subject of novel triangle centers in hyperbolic geometry along with analogies they share with familiar triangle centers in Euclidean geometry. As such, the book uncovers magnificent unifying notions that Euclidean and hyperbolic triangle centers share. In his earlier books the author adopted Cartesian coordinates, trigonometry and vector algebra for use in hyperbolic geometry that is fully analogous to the common use of Cartesian coordinates, trigonometry and vector algebra in Euclidean geometry. As a result, powerful tools that are commonly available in Euclidean geometry became available in hyperbolic geometry as well, enabling one to explore hyperbolic geometry in novel ways. In particular, this new book establishes hyperbolic barycentric coordinates that are used to determine various hyperbolic triangle centers just as Euclidean barycentric coordinates are commonly used to determine various Euclidean triangle centers. The hunt for Euclidean triangle centers is an old tradition in Euclidean geometry, resulting in a repertoire of more than three thousand triangle centers that are known by their barycentric coordinate representations. The aim of this book is to initiate a fully analogous hunt for hyperbolic triangle centers that will broaden the repertoire of hyperbolic triangle centers provided here.

General

Imprint: World Scientific Publishing Co Pte Ltd
Country of origin: Singapore
Release date: August 2010
First published: August 2010
Authors: Abraham Albert Ungar
Dimensions: 232 x 157 x 24mm (L x W x T)
Format: Hardcover
Pages: 360
ISBN-13: 978-981-4304-93-1
Categories: Books > Science & Mathematics > Mathematics > Geometry > Euclidean geometry
Books > Science & Mathematics > Mathematics > Geometry > Non-Euclidean geometry
Promotions
LSN: 981-4304-93-X
Barcode: 9789814304931

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

An Essay on the Foundations of Geometry
Bertrand Russell Paperback R497 Discovery Miles 4 970
The Theory of Quantum Torus Knots - Its…
Michael Ungs Hardcover R3,348 Discovery Miles 33 480
The Theory of Quantum Torus Knots - Its…
Michael Ungs Hardcover R3,345 Discovery Miles 33 450
The Theory of Quantum Torus Knots - Its…
Michael Ungs Hardcover R3,332 Discovery Miles 33 320
Fractals - Form, Chance and Dimension
Benoit B. Mandelbrot Hardcover R1,110 Discovery Miles 11 100
The Fractal Geometry of Nature
Benoit B. Mandelbrot Hardcover R1,972 Discovery Miles 19 720
An Essay on the Foundations of Geometry
Bertrand Russell Hardcover R250 Discovery Miles 2 500
Hermitian-Grassmannian Submanifolds…
Young Jin Suh, Yoshihiro Ohnita, … Hardcover R5,169 Discovery Miles 51 690
Global Affine Differential Geometry of…
An-Min Li, Udo Simon, … Hardcover R4,707 Discovery Miles 47 070
Lobachevsky Geometry and Modern…
Andrey Popov Hardcover R3,708 Discovery Miles 37 080
Geometry by Construction - Object…
Michael Mcdaniel Hardcover R1,449 Discovery Miles 14 490
bundle available
The Foundations of Geometry and the…
G.E. Martin Hardcover R2,131 Discovery Miles 21 310

See more

Partners