Abstract
This paper presents a software to work with 3D dynamic geometry and multivariate calculus. It provides many resources to define and manipulate diverse 0D, 1D, 2D and 3D objects. Functions are defined explicitly or as the result of operations. Functions can (for example) be associated to 3D objects to calculate an iterated or a surface integral. The embedded CAS uses a novel and efficient scheme of representation for the common transcendental functions. Applications range from mathematical education to scientific simulation events passing by banal or utilities applications.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Apostol, T.: Calculus, vol. 2. Blaisdell Publishing, Massachusetts (1967)
Atkinson, K.E.: An Introduction to Numerical Analysis. John Wiley & Sons, New York (1978)
Cormen, T., Leiserson, C., Rivest, R.: Introduction to algorithms. The MIT Press, Cambridge (1990)
Davenport, J., Siret, Y., Tournier, E.: Calcul formel: systèmes et algorithmes de manipulations algébriques. Masson, Paris (1987)
Hennie, F.: Introduction to Computability, Massachusetts Institute of Technology, University of California, Addison-Wesley, Massachusetts (1977)
Hoffman, K., Kunze, R.: Linear Algebra, 2nd edn. Prentice-Hall, Inc., New Jersey (1971)
Lang, S.: Complex Analysis. Yale University, New Haven (1977)
Navarro, D.: Sur l’utilisation des outils informatiques dans l’enseignement des mathématiques; doctoral thèse. Université Paul Sabatier, Toulouse (2006)
Navarro, D.: Des changements de paradigme dans le developpement de logiciels. Revista Brasileira de Ensino de Ciência e Tecnologia 6(1) (2013) ISSN - 1982-873X
Moise, E.: Elementary Geometry from an Advanced Standpoint. Addison-Wesley, Massachusetts (1962)
Piskunov, N.: Calculo Diferencial e Integral, tomo I. Editorial MIR. Moscu (1969)
Simmons, G.: Calculus with Analytic Geometry, 2nd edn. McGraw-Hill, USA (1996)
Preparata, F., Shamos, M.: Computational Geometry, an introduction. Springer (1985)
Richardson, D.: Some undecidable Problems Involving Elementary Functions of a Real Variable. The Journal of Symbolic Logic 33, 514–520 (1968)
Risch, R.: The problem of integration in finite terms. Transactions of American Mathematical Society 139, 167–189 (1969)
Wolff, D.: OpenGL 4.0 Shading Language Cookbook. Packt Publishing Ltd., Birmingham (2011)
Wolfram, S.: Mathematica Book. Cambridge University Press, USA (1999)
Wright, R., Haemel, N., Sellers, G., Lipchak, B.: OpenGL SuperBible, 5th edn. Adisson Wesley, Person Education, Inc., Boston, MA (2011)
Zeid, I.: CAD/CAM Theory and Practice. McGraw-Hill (1991)
Zeilberger, D.: A holonomic systems approach to special functions identities. Journal of Computational and Applied Mathematics 32, 321–368 (1990)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Guevara, D.N., Alvarez, A.N. (2014). Computer Aided Geometry. In: Hong, H., Yap, C. (eds) Mathematical Software – ICMS 2014. ICMS 2014. Lecture Notes in Computer Science, vol 8592. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44199-2_35
Download citation
DOI: https://doi.org/10.1007/978-3-662-44199-2_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-44198-5
Online ISBN: 978-3-662-44199-2
eBook Packages: Computer ScienceComputer Science (R0)