000 -CABECERA |
Longitud fija campo de control |
04319nam a2200265Ia 4500 |
003 - IDENTIFICADOR DEL NÚMERO DE CONTROL |
Identificador del número de control |
OSt |
008 - CÓDIGOS DE INFORMACIÓN DE LONGITUD FIJA |
Códigos de información de longitud fija |
070806s1998 ne a b 001 0 eng d |
020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
Número Internacional Normalizado para Libros (ISBN) |
9780444829948 |
020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
Número Internacional Normalizado para Libros (ISBN) |
0444829946 |
040 ## - FUENTE DE LA CATALOGACIÓN |
Centro catalogador |
UCA |
Centro transcriptor |
UCA |
100 1# - PUNTO DE ACCESO PRINCIPAL-NOMBRE DE PERSONA |
Nombre de persona |
Jacob, Michael |
245 14 - MENCIÓN DE TÍTULO |
Título |
The nature of mathematics and the mathematics of nature / |
Mención de responsabilidad, etc. |
by Michael Jacob and Sten Andersson. |
260 ## - PUBLICACIÓN, DISTRIBUCIÓN, ETC. (PIE DE IMPRENTA) |
Lugar de publicación, distribución, etc. |
Amsterdam ; |
-- |
New York : |
Nombre del editor, distribuidor, etc. |
Elsevier, |
Fecha de publicación, distribución, etc. |
1998. |
300 ## - DESCRIPCIÓN FÍSICA |
Extensión |
vii, 345 p. : |
Otras características físicas |
ill. ; |
Dimensiones |
25 cm. |
520 ## - NOTA DE SUMARIO |
Sumario, etc, |
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.<P> 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.<P> 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. |
505 0# - NOTA DE CONTENIDO CON FORMATO |
Nota de contenido con formato |
Introduction. References. Publications on 'The Exponential Scale'. The Roots of Mathematics - the Roots of Structure. Multiplication of polynomials. Addition of polynomials. Saddles. Exercises. References. The Natural Function and the Exponential Scale. Polygons and planar geometry. Polyhedra and geometry. Curvature. The fundamental polyhedra - and others. Optimal organisation and higher exponentials. Exercises. References. Periodicity and the Complex Exponential. The translation vector. The complex exponential and some variants. Some other exponentials. Exercises. References. The Screw and the Finite Periodicity with the Circular Punctions. Chirality, the screw and the multi spiral. The bending of a helix. Finite periodicity - molecules and the Larsson cubosomes. Multiplication, Nets and Planar Groups. Lines and saddles. Nets with two planes, and variations. Nets with three planes, and variations. Nets with four planes, and variations. Structures in 3D from the nets. Quasi. Four planes and quasi. Five planes and quasi. The Gauss Distribution Function. The GD function and periodicity. Handmade periodicity. The GD function and periodicity in 3D. The BCC and diamond symmetries. The link to cosine. Handmade Structures and Periodicity. Prelude. Simplest of periodic structures. Contact of spheres in space - structures and surfaces. How tetrahedra and octahedra meet in space. The Rods in Space. Primitive packing of rods. Body centred packing of rods. Tetragonal and hexagonal packing of rods. Larsson cubosomes of rods. Packing of rods, and their related surfaces. The Rings, Addition and Subtraction. Some simple examples of subtraction and addition in 3D. The rings. More ways to make rings. More subtraction - hyperbolic polyhedra. Periodic Dilation - Concentric Symmetry. Dilatation and translation in 2D. Dilatation and translation in 3D. Pure dilatation. Appendices. Subject Index. |
504 ## - NOTA DE BIBLIOGRAFÍA, ETC |
Nota de bibliografía, etc. |
Includes bibliographical references and index. |
530 ## - NOTA DE FORMATO FÍSICO ADICIONAL DISPONIBLE |
Nota de formato físico adicional disponible |
También disponible en versión electrónica. |
Fuente para la adquisición |
Consulte en Libros y Revistas electrónicas (http://goo.gl/Ygwy4z) |
650 #0 - PUNTO DE ACCESO ADICIONAL DE MATERIA - TÉRMINO DE MATERIA |
Término de materia o nombre geográfico como elemento inicial |
Mathematics. |
650 04 - PUNTO DE ACCESO ADICIONAL DE MATERIA - TÉRMINO DE MATERIA |
Término de materia o nombre geográfico como elemento inicial |
Matemáticas |
9 (RLIN) |
3546 |
700 1# - PUNTO DE ACCESO ADICIONAL - NOMBRE DE PERSONA |
Nombre de persona |
Andersson, Sten. |
909 ## - No. registro Millennium |
-- |
cyt |
-- |
- |
942 ## - ENTRADA DE ELEMENTOS AGREGADOS (KOHA) |
Suprimir del OPAC |
No |
998 ## - CONTROL LOCAL DE INFORMACIÓN (RLIN) |
Iniciales de operador, IOP (RLIN) |
1 |
Iniciales de catalogador, INC (RLIN) |
080325 |
Primera fecha, PF (RLIN) |
m |
-- |
a |
-- |
- |
-- |
4 |