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: R3,359
Discovery Miles 33 590
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 R3,359 Discovery Miles 33 590 | Repayment Terms: R315 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 R487 Discovery Miles 4 870
The Fractal Geometry of Nature
Benoit B. Mandelbrot Hardcover R1,928 Discovery Miles 19 280
Fractals - Form, Chance and Dimension
Benoit B. Mandelbrot Hardcover R1,085 Discovery Miles 10 850
An Essay on the Foundations of Geometry
Bertrand Russell Hardcover R244 Discovery Miles 2 440
Global Affine Differential Geometry of…
An-Min Li, Udo Simon, … Hardcover R4,599 Discovery Miles 45 990
Geometry by Construction - Object…
Michael Mcdaniel Hardcover R1,415 Discovery Miles 14 150
Menelaus' >Spherics< - Early Translation…
Roshdi Rashed, Athanase Papadopoulos Hardcover R6,509 Discovery Miles 65 090
Elementary Geometry in Hyperbolic Space
Werner Fenchel Hardcover R4,156 Discovery Miles 41 560
Non-Euclidean Geometry
Henry Parker Manning Hardcover R717 Discovery Miles 7 170
The Elements of Non-Euclidean Geometry
Julian Lowell Coolidge Hardcover R866 Discovery Miles 8 660
Wearing Gauss's Jersey
Dean Hathout Hardcover R5,509 Discovery Miles 55 090
"Golden" Non-euclidean Geometry, The…
Alexey Stakhov, Samuil Aranson Hardcover R3,056 Discovery Miles 30 560

See more

Partners