cematî.com (math as poetry)

Compartimos aquí referencias y documentos sobre Tópicos Selectos y Áreas adicionales de matemáticas. (incluyendo algunos de computación numérica, simbólica y/o gráfica) Esperamos sean de su interés. Gracias de antemano por sus comentarios.

(rev. 2011.04.13)

Algoritmos en paralelo (referencias y herramientas)

• CERFACS:  Organización de investigación para métodos avanzados de simulación numérica y soluciones algorítmicas (ver Publications)  [acc. 2009.09.23]
• CUDA Zone:  Arquitectura para procesamiento en paralelo (NVidia) [acc. 2009.09.23]

Computación por Intervalos (análisis de intervalos, computación confiable)

• Graviliu, M. (2005) Towards more efficient interval analysis: Corner forms and a remainder interval Newton method. Ph. D. Dissertation. California Institute of Technology [acc. 2009.10.12]
• Hargreaves, G. I. (2002) Interval Analysis in Matlab. MIMS eprint 2009.1  (ver “Multivariate nonlinear equations” en pp. 28-33 y además INTLAB) [acc. 2009.10.22]
• Jaulin, L., et al. (2001) Applied Interval Analysis. Springer [acc. 2009.11.04]
• Neumaier, A. (1991) Interval Methods for Systems of Equations. Cambridge Univ. Press [acc. 2009.11.04]
• ♦Stahl, V. (1995) Interval Methods for Bounding the Range of Polynomials and Solving Systems of Nonlinear Equations. Disertación Doctoral. [acc. 2009.11.18]

Descomposición en Valores Singulares (SVD: Singular Value Decomposition)

• [Beaver, Scott 2006] “The Singular Value Decomposition in Symmetric (Lowdin) Orthogonalization and Data Compression” (PDF, 41 pp.) [acc. 2009.01.09]

Ecuaciones Diferenciales Parciales

• Driver, Bruce. Compiled Analysis and PDE Notes . UCSD Math Department [acc. 2010.07.01]

Fractales y caos determinista

• Bernsley, M. (1993) Fractals Everywere (2/e). Academic Press [acc. 2009.10.01]
• Barnsley, M. { Superfractals } [acc. 2009.10.01]
• Porter, M. A. y Liboff, R. L. (2003) Caos en la escala cuántica: simulaciones de billares de escala atómica revelan fenómenos caóticos que permiten nuevos avances teóricos y aplicados, especialmente en nanotecnología. Investigación y Ciencia, abril 2003 (pp. 76-82) [acc. 2009.10.11]
• Triana, S. A. y Campos, D. (1999) El billar de Sinaí clásico. Rev. Acad. Colomb. Ciencias, Vol. XXIII, Núm 86, Marzo 1999 (pp. 61-71) [acc. 2009.10.11]

Geometría

• Duff, G. F. D. [Ch.] (c. 1966) Geometry: Kindergarten to Grade Thirteen. Report of the (K-13) Geometry Committee of the Development Division. The Ontario Institute for Studies in Education.
• Oldknow, A. [Ch.] (2001) Teaching and learning geometry 11-19. Report of a Royal Society/Joint Mathematical Council working group. The Royal Society.

Geometría Computacional et al.

• [Geometry Lab] Geometría Algorítmica (Tutoriales). Universidad de Bonn [acc. 2009.10.01]
• Herva, V. (2009) Using Delaunay Triangulation in Infrastructure Design Software. Tesis de Maestría. Helsinki Univ. of Technology. [acc. 2009.09.30]
• Hjelle, Ø, (2000) A Triangulation Template Library (TTL): Generic Design of Triangulation Software. (ver también TTL Home) [acc. 2009.10.05]
• [Joswig, M; N. Takayama (org.) 2001] Integration of Algebra and Geometry Software Systems. Dagstuhl-Seminar No. 01421 [acc. 2009.05.07]
• [Mehlhorn, Kurt; Chee Yap] Robust Geometric Computation (tentative title) “A draft under preparation, 2009″. Nota: Libro asociado al Proyecto EGC: Exact Geometric Computation [acc. 2009.04.22]
• [Mohr, Roger; Bill Triggs (Eds) 1996] Projective Geometry for Image Analysis. A Tutorial given at ISPRS, Viena [acc. 2009.05.07]
• Scarlatos, L. (1993) Spatial Data Representations for Rapid Visualization and Analysis. Ph. D. Dissertation. State Univ. of New York at Stony Brook [acc. 2009.09.28]
• Siebeck, J. (2003) Concepts for the Representation, Storage and Retrieval of Spatio-Temporal Objects in 3D/4D Geo-Information Systems. Ph.D. Dissertation. [acc. 2009.09.28]

Geometría y Arquitectura: principios, herramientas y aplicaciones

• [Bazjanac, Vladimir 2001] “Acquisition of building geometry in the simulation of energy performance” Lawrence Berkeley National Lab. (eScholarship repository) [acc. 2009.03.16]
• [Birsh & Wachter, 2008] “Growing Greener Cities: urban sustainability in the twenty-first century“. Univ. of Pennsylvania Press. [acc. 2009.03.16]
• [ELT] Photo Gallery (ELT Living Walls) [acc. 2009.03.16]
• [Leopold, Cornelie 2003] “Principles of a Geometry Program for Architecture – Experiences, Examples and Evaluations“. Journal of Geometry and Graphics, Vol. 7 (2003) No. 1, 101-110 (PDF, 10 pp.) [acc. 2009.03.16]
• [Pearson, David 2001] “New Organic Architecture: The Breaking Wave (introduction)” {imágenes}. University of California Press [acc. 2009.03.16]
• [Raith, Karin 2008 ] “Landscape and architecture synthesis“. Cumulus Working Papers Bratislava. pp. 7-12 [acc. 2009.03.16]

Go Matemático

• Demaine, E. D.; Hearn, R. A. (2008). Playing Games with Algorithms: Algorithmic Combinatorial Game Theory. en R. J. Nowakowski (Editor) Games of No Chance 3 [acc. 2009.06.10]
• Landman, H. A. (1996) Eyespace Values in Go. en Games of No Chance, MSRI Publications, Volume 29. [acc. 2009.06.10]
• Reyzin, L. (2006) GO is PSPACE Hard. (slides) Clique, Yale Univ. [acc. 2009.06.10]
• Wolfe, D. (2002) Go Endgames Are PSPACE-Hard. en More Games of no Chance, MSRI Publications, Volume 42. [acc. 2009.06.10]

Investigación de operaciones

• Chinneck, John W. () Practical Optimization: A Gentle Introduction. Carleton University, Ottawa. Ontario, Canada [acc. 2011.03.08]
• CPM Tutor: a practical guide to construction scheduling. [acc. 2011.03.08]
• [IFORS] tutORial (a special project of IFORS Educational Resources Committe) [acc. 2011.03.08]
• Jensen, Paul A. (2004-) Operations Research: Models and Methods, Internet [acc. 2011.03.08]
• Maths, Stats and OR Network [acc. 2011.03.08]
• [mps] Optimization Online: an eprint site for the optimization community. [acc. 2011.03.08]

L-Sistemas (Lindenmayer-Systems)

• [Hansmeyer, Michael] “L-Systems in Architecture: Nature’s growth processes as generators of architectural design“. Parte de Algorithms in Architecture [acc. 2009.04.28]
• [JavaView, The Project] “Generate a tree as L-system” (applet) [acc. 2009.04.28]
• [McWorter, William 1997] “Fractint L-System Tutorial“. Basado en Fractint [acc. 2009.04.28]
• [Ochoa, Gabriela] “An Introduction to Lindenmayer Systems“. School of Cognitive and Computing Sciences. The Univ. of Sussex [acc. 2009.04.28]

Métodos de Elemento Finito

• Alnæs, M. S., Mardal, K-A (c. 2009) On the Efficiency of Symbolic Computations Combined with Code Generation for Finite Element Methods. Preprint, Simula Research Laboratory. [acc. 2009.09.30]

Poesía y Matemáticas

• [Glaz, Sarah] Calculus [poem, acc. 2009.04.22]
• [Norton, Douglas 2009] Report and Reflections on “Poetry of Love and Mathematics: A Reading“, Joint Mathematics Meeting, Enero 7, 2009 [acc. 2009.04.22]

Series de Fourier

• Arango, J. y Calderón G. (c. 2006) Series de Fourier. Guía 10, Curso de Ecuaciones Diferenciales. Universidad del Valle, Colombia [acc. 2010.11.23]
  
• Cortadellaz, Oscar (2004) Series de Taylor y Series de Fourier o diálogos de dos estudiantes de Gotinga. Universidad de Granada [acc. 2010.11.23]
• Walker, J. S. (2001) Fourier Series. Encyclopedia of Physical Science and Technology, Academic Press. [acc. 2010.11.23]
  

Teoría de Control

• ♦Cordero, R. (2007) Scilab: herramienta de código abierto en la enseñanza de control. Centro de Investigaciones Eléctricas – Electrónicas del Perú (CIEEP) [acc. 2009.11.15]
• González de Durana, J. M. (2002) Automatización de Sistemas Industriales (Repaso Teoría de Control). EUIT, UPV [acc. 2009.11.15]
• ♦Haugen, F. (2008) Master Scilab! (ver sección 9: Functions for dynamics and controls ). Explorar también Master Scicos! (tutorial de Scicos: herramienta de simulación basada en diagramas de bloques) [acc. 2009.11.15]
• [ocw.mit] Curso 6.003 Señales y Sistemas (Otoño 2003). MIT Open CourseWare/Universia [acc. 2009.11.15]
• ♦Ogata, K. (2003) Teoría de Control Moderna (4/e) Pearson/Prentice-Hall (Cortesía Books de Google) [acc. 2009.11.15]
• Sontag, E. D. (1998) Mathematical Control Theory: Deterministic Finite Dimensional Systems, 2/e. Springer (PDF, 554 pp.) [acc. 2009.11.15]

(desde 2009.01.09)