The nature of mathematics and the mathematics of nature / (Record no. 835993)

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
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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
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      02. BIBLIOTECA CAMPUS PUERTO REAL 2016-10-29 Compra 51/JAC/nat 3720991255 2016-10-29 i14105974 PREST. LIBROS Monografías

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