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The Nature of Mathematics and the Mathematics of Nature (Hardcover) Loot Price: R7,687
Discovery Miles 76 870
The Nature of Mathematics and the Mathematics of Nature (Hardcover): S. Andersson, M. Jacob

The Nature of Mathematics and the Mathematics of Nature (Hardcover)

S. Andersson, M. Jacob

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Loot Price R7,687 Discovery Miles 76 870 | Repayment Terms: R720 pm x 12*

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Chemistry, physics and biology are by their nature genuinely difficult. Mathematics, however, is man-made, and therefore not as complicated. Two ideas form the basis for this book: 1) to use ordinary mathematics to describe the simplicity in the structure of mathematics and 2) to develop new branches of mathematics to describe natural sciences.


Mathematics can be described as the addition, subtraction or multiplication of planes. Using the exponential scale the authors show that the addition of planes gives the polyhedra, or any solid. The substraction of planes gives saddles. The multiplication of planes gives the general saddle equations and the multispirals. The equation of symmetry is derived, which contains the exponential scale with its functions for solids, the complex exponentials with the nodal surfaces, and the GD (Gauss Distribution) mathematics with finite periodicity.


Piece by piece, the authors have found mathematical functions for the geometrical descriptions of chemical structures and the structure building operations. Using the mathematics for dilatation; twins, trillings, fourlings and sixlings are made, and using GD mathematics these are made periodic. This description of a structure is the nature of mathematics itself. Crystal structures and 3D mathematics are synonyms. Mathematics are used to describe rod packings, Olympic rings and defects in solids. Giant molecules such as cubosomes, the DNA double helix, and certain building blocks in protein structures are also described mathematically.

General

Imprint: Elsevier Science Ltd
Country of origin: United Kingdom
Release date: October 1998
First published: 1998
Authors: S. Andersson • M. Jacob
Dimensions: 234 x 156 x 22mm (L x W x T)
Format: Hardcover
Pages: 345
ISBN-13: 978-0-444-82994-8
Categories: Books > Science & Mathematics > Mathematics > Philosophy of mathematics
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
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LSN: 0-444-82994-6
Barcode: 9780444829948

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