Book123

    Free register and download UseNet downloader, then you can FREE Download from UseNet.

    Download without Limit " Technical The Mathematical Description of Shape and Form " from UseNet for FREE!

More

E. A. Lord, C. B. Wilson, "The Mathematical Description of Shape and Form"

Neither Pythagoras nor Euclid could have foreseen today's

importance of geometry in modern technological systems

of computer-aided design and manufacture. This work

offers the first survey of the mathematical principles of

shape and form and embraces a very wide spectrum of their

applications. It will stimulate the current and growing

revival of interest in the applications of geometry and will

encourage creative thinking about problems of form, as for

instance, in the behaviour of environmental fields in their

interaction with buildings. It will widen awareness of such

versatility of application in other fields whose workers

can now gain a clearer perception of how these rich mathe-

matical concepts can be utilised.

It is a wide-ranging survey of the applications of mathe-

matics to problems of form description, presenting clearly

and concisely a large number of applied geometrical

methods. A unified viewpoint, based on the concept of

mappings between geometrical spaces, is developed so that

the individual methods are seen in the context of a frame-

work of underlying principles.

The topics treated fall broadly into two major categories:

those based on concepts of continuity (differential and

metrical properties of continuous curves and surfaces,

topology, structure of singularities, etc.) and those based on

concepts of discrete point-sets (crystallographic groups,

graph theory, surface and curve fitting and interpolation,

lattice descriptions in pattern recognition and image pro-

cessing, etc.).

A degree of mathematical expertise on the part of the

reader is assumed, in particular a good knowledge of func-

tions, vectors, matrices and differential equations. However,

the esoteric notation and terminology prevalent in texts

meant for specialist mathematicians is avoided.

The book is the first of its kind; no other known work has

attempted this kind of unified presentation of geometrical

methods taken from a wide range of disciplines. As well as

stimulating further the revival of interest in geometry, it is

intended as a first step towards the future development of

an adequate science of morphology. It contains over 200

diagrams and an extensive bibliography.

Buy Book at Lowest Price on Amazon

Download

Not all books ... appear on the homepage.

In order not to miss many of them follow ebooks section (see top of each page on AH)

Rating:
2.5 out of 5 by Book123