Graphics Reference
In-Depth Information
[Hobb91]
Hobby, John D., “Numerically Stable Implicitation of Cubic Curves,” ACM TOG, 10 (3), July
1991, 255-296.
[Hoff93]
Hoffmann, Christoph M., “Implicit Curves and Surfaces in CAGD,” CG&A, 13 (1), January
1993, 79-88.
[ManC92b]
Manocha, Dinesh, and Canny, John F., “Algorithm for Implicitizing Rational Parametric Sur-
faces,” CAGD, 9 (1), May, 1992, 25-50.
Algebraic Geometry
[Abhy90]
Abhyankar, Shreeram S., Algebraic Geometry for Scientists and Engineers , AMS, 1990.
[AdaL94]
Adams, William W., and Loustaunau, Philippe, An Introduction to Gröbner Bases , AMS, 1994.
[Arno83]
Arnon, D.S., “Topologically Reliable Displays of Algebraic Curves,” SIGGRAPH 83, 17 (3), July
1983, 219-227.
[BriK81]
Brieskorn, E., and Knörrer, H., Ebene Algebraische Kurven , Birkhäuser, 1981.
[CoLO97]
Cox, David, Little, John, and O'Shea, Donal, Ideals, Varieties, and Algorithms: An Introduction
to Computational Algebraic Geometry and Commutative Algebra , 2 nd Edition, Springer-Verlag,
1997.
[CoLO98]
Cox, David, Little, John, and O'Shea, Donal, Using Algebraic Geometry , Springer-Verlag, 1998.
[Fult69]
Fulton, William, Algebraic Curves , W.A. Benjamin, Inc., 1969.
[Harr92]
Harris, Joe, Algebraic Geometry: A First Course , Springer-Verlag, 1992.
[Kend77]
Kendig, Keith, Elementary Algebraic Geometry , Springer-Verlag, 1977.
[KleL72]
Kleinman, S.L., and Laksov, Dan, “Schubert Calculus,” Amer. Math. Monthly, 79 (10), Decem-
ber 1972, 1061-1082.
[Mish93]
Mishra, Bhubaneswar, Algorithmic Algebra , Springer-Verlag, 1993.
[Sede87]
Sederberg, Thomas W., “Algebraic Geometry for Surface and Solid Modeling,” in [Fari87],
29- 42.
[Seid68]
Seidenberg, A., Elements of the Theory of Algebraic Curves , Addison-Wesley Publ. Co., 1968.
Shafarevich, Igor R., Basic Algebraic Geometry I , 2 nd
[Shaf94]
Edition, Springer-Verlag, 1994.
[Walk50]
Walker, Robert J., Algebraic Curves , Princeton University Press, 1950.
[ZarS60]
Zariski, Oscar, and Samuel, Pierre, Commutative Algebra: Volume I and II , D. Van Nostrand
Co., Inc., 1960.
Algebraic Topology
(See also Topology)
[AgoM76]
Agoston, Max K., Algebraic Topology: A First Course , Marcel Dekker, New York, 1976.
[Arms83]
Armstrong, M. A., Basic Topology , Springer-Verlag, 1983.
[Cair68]
Cairns, Stewart S., Introductory Topology , The Ronald Press Co., New York, 1968.
[CooF67]
Cooke, George E., and Finney, Ross L., Homology of Cell Complexes , Princeton Univ. Press,
1966.
[CroF65]
Crowell, Richard H., and Fox, Ralph H., Introduction to Knot Theory , Blaisdell Publ. Co., 1965.
[Dieu89]
Dieudonné, Jean, A History of Algebraic and Differential Topology 1900-1960 , Birkhäuser, 1989.
[FreF67]
Frechet, Maurice, and Fan, Ky, Initiation to Combinatorial Topology , Prindle, Weber &
Schmidt, 1967.
[Gott96]
Gottlieb, Daniel Henry, “All the Way with Gauss-Bonnet and the Sociology of Mathematics,”
Amer. Math. Monthly, 103 (6), June-July 1996, 457-469.
[GrüS94]
Grünbaum, B., and Shephard, G.C., “A New Look at Euler's Theorem for Polyhedra,” Amer.
Math. Monthly, 2 (101), February 1994, 109-128.
[HilP94]
Hilton, P.J., and Pederson, J., “Euler's Theorem for Polyhedra: A Topologist and a Geometer
Respond,” Amer. Math. Monthly, 101 (10), December 1994, 959-962.
[HilP96]
Hilton, P.J., and Pederson, J., “The Euler Characteristic and Pólya's Dream,” Amer. Math.
Monthly, 103 (2), February 1996, 121-151.
[HilW60]
Hilton, P.J., and Wylie, S., Homology Theory: An Introduction to Algebraic Topology , Cambridge
Univ. Press, 1960.
[Huse66]
Husemoller, Dale, Fibre Bundles , McGraw-Hill Book Co., 1966.
[Livi93]
Livingston, Charles, Knot Theory , Math. Association of America, 1993.
[Mark58]
Markov, A.A., “Unsolvability of the Problem of Homeomorphy” (Russian), Proceedings of
International Congress of Mathematicians, 1958, 300-306.
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