Geometry in Utopia II (10/14/2001)

Prepared by:

Joseph Malkevitch
Mathematics and Computing Department
York College (CUNY)
Jamaica, New York 11451

Email: malkevitch@york.cuny.edu (for additions, suggestions, and corrections)




Introduction

With the widespread triumph of symbolic algebra software in revolutionizing the way that symbolic calculation can be accomplished, mathematicians are getting greater respect for the subtlties of geometric phenomena. It is still not possible to get a computer to "scan" an image and "describe" what it sees!

In light of this, and the fact that unlike many other parts of mathematics, geometry often requires relatively little background to get started, it is sad how little awareness there is either within the mathematics community and certainly outside of it of the vast domains of geometry. At a time when rote excercises still are the hallmark of mathematics teaching in the lower grades, few students who leave the 6th grade have seen much geometry, though it would be quite reasonable for them to have done so.

Geometry can be thought of as being built up from many parts (not all incorporated below) even though these parts overlap greatly. You may also want to look at some of my ideas about mathematics with geometrical content which I think should be taught in grades K-12. Here is a very small sample of the kinds of problems that could be looked at.

This bibliography, an expanded version of Geometry in Utopia (which appeared in Geometry's Future, COMAP, Arlington, 1991), adds a few new categories (including journals that have significant treatment of geometry) but more importantly fills in many old and newer sources. (Nearly all references are to books in English, with occassional references to journal articles.) Some of the sections have very detailed lists while other sections are not as thoroughly covered. My goal is to encourage mathematicians at all levels to explore the exciting world of geometry and show more of its wonders to their students. Our students and the public deserve to be more broadly aware of geometric phenomena and applications of geometry.

Bibligraphy


0. General

Anthony, J., (ed.), In Eves' Circles, Mathematical Association of America, Washington, 1994.

Baragar, A., A Survey of Classical and Modern Geometries, Prentice-Hall, Upper Saddle River, 2001.

Behnke, H., and F. Bachmann, K. Fladt, H. Kunles, (eds.), Fundamentals of Mathematics, Vol. II, Geometry, MIT Press, Cambridge, 1974.

Berger, M., Geometry I, Springer-Verlag, Berlin, 1987.

Berger, M., Geometry II, Springer-Verlag, Berlin, 1987.

Berger, M., and P. Pansu, J. Berry, X. Saint-Raymond, Problems in Geometry, Springer-Verlag, New York, 1982.

Bix, R., Topics in Geometry, Academic Press, San Diego, 1994.

Blackwell, W., Geometry in Architecture, J. Wiley, New York, 1984.

Brannan, D. and M. Esplen, J. Gray, Cambridge U. Press, New York, 1999.

Coxeter, H., An Introduction to Geometry, Wiley, New York, 1961.

Davis, C. and B. Grünbaum, F. Sherk, The Geometric Vein, Springer-Verlag, New York, 1981.

Guy, R. and R. Woodrow, (eds.), The Lighter Side of Mathematics, Mathematical Association, Washington., 1994.

Heilbron, J., Geometry Civilized, Oxford University Press, London, 1998.

Henderson, D., Experiencing Geometry, 2nd. edition, Prentice-Hall, Upper Saddle River, 2001.

Henle, M., Modern Geometries: The Analytic Approach, Prentice-Hall, Upper Saddle River, 1997.

Hilbert, D. and S Cohn-Vossen, Geometry and the Imagination, Chelsea, New York, 1952.

Jennings, G., Modern Geometry with Applications, Springer-Verlag, New York, 1994.

Levy, S., (ed.), Flavors of Geometry, Cambridge U. Press, New York, 1997.

Malkevitch, J., Geometry's Future, COMAP, Lexington, 1991.

Meyer, W., Geometry and Its Applications, Academic Press, San Diego, 1999.

Pottage, J., Geometrical Investigations, Addison-Wesley, London, 1983.

Sibley, T., The Geometric Viewpoint, Addison-Wesley, Reading, 1998.

Weeks, J., The Shape of Space, Marcel Dekker, 1985.

Wells, D., The Penguin Dictionary of Curious and Interesting Geomety, Penguin, London, 1991.

1. Axiomatics

Altshiller-Court, N., College Geometry, Barnes and Noble, New York, 1952.

Altshiller, Court, N., Modern Pure Solid Geometry, Chelsea Publications Company, Bronx, New York, 1964.

Coolidge, J., A Treatise on the Circle and the Sphere, Chelsea, New York, 1971.

Coxeter, H. S. M., and S. Grietzer, Geometry Revisited, Mathematical Association of America, Washington, 1967.

Davis, D., Modern College Geometry, Addison-Wesley, Cambridge, 1954.

Eves, H., A Survey of Geometry, Revised edition, Allyn and Bacon, Boston, 1972.

Gans, D., An Introduction to Non-Euclidean Geometry, Academic Press, New York, 1973.

Greenberg, M., Euclidean and Non-Euclidean Geometry, 3rd ed., W. H. Freeman, New York, 1980

Heath, T., The Thirteen Books of Euclid's Elments, 2nd ed., 3 volumes, Dover New York, 1956.

Henderson, D., Experiencing Geometry on Plane and Sphere, Prentice-Hall, Upper Saddle River, 1996.

Hilbert, D., The Foundations of Geometry, 10th ed., Open Court, LaSalle, IL, 1971.

Millman, R. and G. Parker, Geometry: A Metric Approach with Models, Springer-Verlag, New York, 1981.

Smart, J., Modern Geometries, 5th edition, Brooks/Cole, Pacific Grove, California, 1998.

Stahl, S., The Poincaré Half-Plane, Jones and Bartlett, Boston, 1993.

Stevenson, F., Projective Planes, W. H. Freeman, New York, 1972.

2. Finite geometries

Batten, L., Combinatorics of Finite Geometries, Cambridge U. Press, 1986.

Beck, A., and M. Bleicher, D. Crowe, Excursions in Mathematics, Worth, New York.

Dembowski, P., Finite Geometries, Springer-Verlag, New York, 1968.

Hughes, D. and F. Piper, Design Theory, Cambridge U. Press, London, 1985.

Polster, B, A Geometrical Picture Book, Springer-Verlag, New York, 1998.

Ryser, H., Combinatorial Mathematics, Mathematical Association of America, Washington, 1963.

Smart, J., Modern Geometries, Brooks/Cole, Monterey, 1978 (5th edition, 1999).

3. Geometric transformations

Burn, R., Deductive Transformation Geometry, Cambridge U. Press, London, 1975.

Eccles, F., An Introduction to Transformational Geometry, Addison-Wesley, Reading, 1971.

Gans, D., Transformations and Geometries, Appleton-Century-Crofts, New York, 1969.

Guggenheimer, H., Plane Geometry and its Groups, Holden-Day, San Francisco, 1967.

Jeger, M., Transformation Geometry, Allen and Unwin, London, 1966.

Martin, G., Transformation Geometry: An Introduction to Symmetry, Springer-Verlag, New York, 1982.

Yaglom, I., Geometric Transformations, Random House, New York, 1962.

4. Symmetry

Coxeter, H. and M. Emmer, R. Penrose, M. Teuber, (eds.), M.C. Escher: Art and Science, North-Holland, Amsterdam, 1986.

Crowe, D., Symmetry, Rigid Motions, and Patterns, HIMAP Module 4, COMAP, Lexington, 1986.

Emmer, M., The Visual Mind, MIT Press, Cambridge, 1993.

Fejes-Toth, L., Regular Figures, Macmillan, New York, 1964.

Hargittai, I., (ed.), Symmetry, Pergamon Press, New York, 1986.

Hargittai, I., (ed.), Symmetry, Pergamon Press, New Yok, 1989.

Hargittai, I., (ed.), Fivefold Symmetry, World Scientific, Singapore, 1992.

Hargittai, I., (ed.), Quasicrystals, Networks, and Molecules of Fivefold Symmetry, VCH, New York, 1990.

Hargittai, I. and M. Hargittai, Symmetry: A Unifying Concept, Random House, New York, 1996.

Hargittai, I. and M. Hargittai, Symmetry through the Eyes of a Chemist, 2nd ed., Plenum Press, New York, 1995.

Hargittai, I. and C. Pickover, (eds.), Spiral Symmetry, World Scientific, Singapore, 1992.

Holden, A., Shapes, Space, and Symmetry, Dover, 1991.

Lockwood, E. and R. MacMillan, Geometric Symmetry, Cambridge U. Press, London, 1978.

Schattschneider, D., Visions of Symmetry, W. H. Freeman, New York, 1990.

Stevens, P., Handbook of Regular Patterns, MIT Press, Cambridge, 1980.

Washburn, D. and D. Crowe, Symmetries of Culture: Handbook of Pattern Analysis, U. of Washington Press, Seattle, 1988.

Weyl, H., Symmetry, Princeton U. Press, Princeton, 1952.

Zaslavsky, C., Africa Counts, Prindle,Weber, and Schmidt, Boston, 1973.

5. Tilings

Gardner, M., Penrose Tiling, Chapter 1 in Penrose Tiles to Trapdoor Ciphers, W.H. Freeman, New York, 1989.

Grünbaum, B. and G. Shephard, Tilings and Patterns, W. H. Freeman, New York, 1986.

Magnus, W., Non-Euclidean Tessellations and Their Groups, Academic Press, New York, 1974.

6. Lattice point problems

Del Grande, J. Geomboards & Motion Geometry, Scott, Foresman, Glenview, 1972.

Erdös, P. and P. Gruber, J. Hammer, Solved and Unsolved Lattice Point Problems, Longman, London, 1991.

Hammer, J., Unsolved Problems Concerning Lattice Points, Pittman, London, 1978.

Niven, I. and H. Zuckerman, Lattice Points and Polygon Area, Amer. Math. Monthly, 74 (1967) 1195-1200.

7. Graph theory

Asratian, A. and T. Denley, R. Häggkvist, Bipartite Graphs and Their Applications, Cambridge U. Press, 1998.

Biggs, N. and E. Llyod, R. Wilson, Graph Theory, 1736-1936, Oxford U. Press, 1968 (updated: 1998).

Di Battista, G. and P. Eades, R. Tomassia, I. Tolis, Graph Drawing, Prentice-Hall, Upper Saddle River, 1999.

Diestal, R., Graph Theory, Springer-Verlag, New York, 1997.

Flapan, E., When Topology Meets Chemistry, Cambridge U. Press and MAA, New York and Washington, 2000.

Gross, J. and J. Yellen, Graph Theory and Its Applications, CRC Press, Boca Raton, 1999.

Jungnickel, D., Graphs, Networks and Algorithms, Springer-Verlag, New York, 1999.

Malkevitch, J. and W. Meyer, Graphs, Models and Finite Mathematics, Prentice-Hall, Englewood Cliffs, 1974.

Ore, O., Graphs and Their Uses, (Revision, R. Wilson), Mathematical Association of America, Washington.

Read, R. and R. Wilson, An Atlas of Graph Theory, Oxford U. Press, Oxford, 1998.

Roberts, F., Graph Theory and its Applications to Problems of Society, SIAM, Philadelphia, 1978.

West, D., Introduction to Graph Theory, Prentice-Hall, Upper Saddle River, 1996.

8. Taxicab geometry

Brandley, M., Square circles, Pentagon, Fall, 1970, p. 8-15.

Brisbin, R. and P. Artola, Taxicab trigonometry, Pi Mu Epsilon Journal, 8 (1985) 89-95.

Byrkit, R., Taxicab geometry - A Non-Euclidean geometry of lattice points, Math. Teacher, 64 (1971) 418-422.

Gardner, M., The Last Recreations, Springer-Verlag, 1997.

Golland, L., Karl Menger and taxicab geometry, Mathematics Magazine, 63 (1990) 326-327.

Iny, D., Taxicab geometry: another look at conic sections, Pi Mu Epsilon Journal, 7 (1984) 645-647.

Krause, E., Taxicab Geometry, Dover, New York, 1986.

Laatsch, R., Pyramidal sections in taxicab geometry, Math. Magazine, 55 (1982) 205-212.

Mertens, L., A fourth dimensional look into taxicab geometry, J. of Undergraduate Mathematics, 19 (1987) 29-33.

Moser, J. and F. Kramer, Lines and parabolas in taxicab geometry, Pi Mu Epsilon Journal, 7 (1982) 441-448.

Reynolds, B., Taxicab geometry, Pi Mu Epsilon Journal, 7 (1980) 77-88.

Schattschneider, D., The taxicab group, Amer. Math. Monthly, 91 (1984 423-428.

Sheid, F., Square circles, Math. Teacher 54 (1961) 307-312.

Sowell, K., Taxicab geometry - A new slant, Mathematics Magazine, 62 (1989) 238-248.

9. Convexity

Benson, R., Euclidean Geometry and Convexity, McGraw Hill, New York, 1961.

Boltyanski, V. and H. Martini, P. Soltan, Excursions into Combinatorial Geometry, Springer-Verlag, New York, 1997.

Bonnesen, T. and W. Fenchel, Theorie der Konvexen Korper, Chelsea, New York, 1948.

Busemann, H., Convex Surfaces, Wiley, New York, 1958.

Eggleston, H., Convexity, Cambridge U. Press, Cambridge, 1966.

Ewald, G., Combinatorial Convexity and Algebraic Geometry, Springer-Verlag, New York, 1996.

Goodman, J. and E. Lutwak, J. Malkevitch, R. Pollack, (eds.), Discrete Geometry and Convexity, Annal 440, New York Academy of Sciences, New York, 1985.

Gruber, P., and J. Wills, Handbook of Convex Geometry, Volumes A and B, North-Holland, Amsterdam, 1993.

Hadwiger, H. and H. Debrunner, V. Klee, Combinatorial Geometry in the Plane, Holt, Rhinehart, and Winston, New York, 1964.

Kay, D. and M. Breen, (eds), Convexity and Related Combinatorial Geometry, Marcel Dekker, New York, 1982.

Klee, V., What is a convex set, Amer. Math. Monthly, 78 (1971) 616-631.

Lay, S., Convex Sets and Their Applications, Wiley, New York, 1982.

Lyusternik, L., Convex Figures and Polyhedra, Dover, New York, 1963.

Pach, J. and P. Agarwal, Combinatorial Geometry, Wiley, New York, 1995.

Prenowitz, W., and J. Jantosciak, Join Geometries: A Theory of Convex Sets and Linear Geometry, Springer-Verlag, New York, 1979.

Rademacher, H. and H. Toeplitz, The Enjoyment of Mathematics, Princeton U. Press, Princeton, 1957.

Schneider, R., Convex Bodies: The Brunn-Minkowski Theory, Cambridge U. Press, New York, 1993.

Valentine, F., Convex Sets, McGraw Hill, New York, 1984.

Yaglom, I. and V. Boltyanskii, Convex Figures, Holt, Rhinehart, and Winston, New York, 1961.

10. Discrete geometry

Boljtjansky, V., and I. Gohberg, Results and Problems in Combinatorial Geometry, Cambridge U. Press, New York, 1985.

Boroczky, K., and G. Fejes-Toth, Intuitive Geometry, North-Holland, New York, 1987.

Chazelle, B., and J. Goodman, R. Pollack, (eds.), Advances in Discrete and Computational Geometry, Contemporary Mathematics, Volume 223, American Mathematical Society, Providence, 1999.

Goodman, J. and E. Lutwak, J. Malkevitch, R. Pollack, (eds.), Discrete Geometry and Convexity, Annal 440, New York Academy of Sciences, New York, 1985.

Goodman, J., and J. O'Rourke, (eds.), Handbook of Discrete and Computational Geometry, CRC Press, New York, 1997.

Goodman, J., and R. Pollack, W. Steiger, (eds.), Discrete and Computational Geometry, Amer. Math. Soc. , Providence, 1991.

Gritzmann, P. and B. Sturmfels, (eds.), Applied Geometry and Discrete Mathematics, The Victor Klee Festschrift, American Mathematical Society, Providence, 1991.

Hadwiger, H., and H. Debrunner, V. Klee, Combinatorial Geometry in the Plane, Holt, Rhinehart, and Winston, New York, 1964.

Pach, J., Combinatorial Geometry, Wiley, New York, 1995.

11. Geometry of surfaces

Arnold, B., Intuitive Concepts in Elementary Topology, Prentice-Hall, Englewood Cliffs, 1962.

Barr, S., Experiments in Topology, Crowell, New York, 1964.

Griffiths, H., Surfaces, 2nd ed., Cambridge U. Press, New York, 1981.

Osserman, R. (ed.), Geometry V: Minimal Surfaces, Encyclopedia of Mathematical Sciences, Volume 90, Springer-Verlag, New York, 1997.

12. Polyhedra

Barnette, D., Polyhedra, Graphs, and the Four Color Problem, Mathematical Association of America, Washington, 1983.

Bisztriczky, R., et al (eds.), Polytopes: Abstract, Convex and Computational, Kluwer, Dordrecht, 1994.

Brondsted, A., An Introduction to Convex Polytopes, Springer-Verlag, New York, 1983.

Brückner, M., Vielecke und Vielflache, Theorie und Geschicte, Teubner, Leipzig, 1900.

Coxeter, H., Regular Polytopes, (3rd. ed.), Dover, 1973.

Coxeter, H., Regular Complex Polytopes, Cambridge U. Press, New York, 1974.

Cromwell, P., Polyhedra, Cambridge U. Press, New York, 1997.

Cundy, H., and A. Rollett, Mathematical Models, (2nd ed.), Oxford U. Press, New York, 1961.

Federico, P., Descartes on Polyhedra, Springer-Verlag, New York, 1982.

Fejes Toth, L., Regular Figures, Pergamon, Oxford, 1964.

Goodman, J., and J. O'Rourke, (eds.), Handbook of Discrete and Computational Geometry, CRC Press, New York, 1997.

Gruber, P., and J. Wills, Handbook of Convex Geometry, Volumes A and B, North-Holland, Amsterdam, 1993.

Grünbaum, B., Convex Polytopes, Wiley, 1967.

Johnson, N., Uniform Polytopes, Cambridge U. Press, New York, 1999.

Lyusternik, L., Convex Figures and Polyhedra, translator T. Smith, Dover, New York, 1963.

Lyusternik, L., Convex Figures and Polyhedra, translator D. Barnett, D. C. Heath, Boston, 1966.

McMullen, P. and G. Shephard, Convex Polytopes and the Upper Bound Conjecture, Cambridge U. Press, Cambridge, 1971.

Richter-Gebert, J., Realization Spaces of Polytopes, Lecture Notes in Mathematics, Volume 1643, Springer-Verlag, New York, 1997.

Robertson, S., Polytopes and Symmetry, Cambridge U. Press, Cambridge, .

Steinitz, E. and H. Rademacher, Vorlesungen uber die Theorie der Polyeder, Springer-Verlag, Berlin, 1934.

Webber, W., Monohedral Idemvalent Toroidal Polyhedra, Doctoral Dissertation, U. of Washington, 1994.

Wenninger, M., Polyhedron Models, Cambridge U. Press, New York, 1971.

Yemelichev, V. and M. Kovalev, M. Kravtsov, Polytopes, Graphs, and Optimization, Cambridge U. Press, Cambridge, 1984.

Ziegler, G., Lectures on Polytopes, Springer-Verlag, New York, 1995.

13. Equidecomposability (Dissection Problems)

Boltyanskii, V., Hilbert's Third Problem, Wiley, New York, 1978.

Boltyanskii, V., Equivalent and Equidecomposable Figures, D. C. Heath, Boston, 1963.

Boltyanskii, V., The Decomposition of Figures into Smaller Parts, U. Chicago Press, Chicago, 1980.

Frederickson, F., Dissections: Plane and Fancy, Cambridge U. Press, New York, 1997.

Gardner, M., Cutting Shapes into N Congruent Parts, Chapter 12 in Penrose Tiles To Trapdoor Ciphers, W. H. Freeman, New York, 1989.

Lindgren, H. Recreational Problems in Geometric Dissections and How to Solve Them, Dover, New York, 1976.

Sah, C., Hilbert's Third Problem: Scissors Congruence, Pitman, London, 1979.

Soifer, A., How Does One Cut a Triangle?, Center for Excellence in Mathematical Education, Colorado Springs, 1990.

Wagon, S., Banach-Tarski Paradox, Cambridge U. Press, New York, 1985.

14. Differential geometry

Abelson, H. and A. di Sessa, Turtle Geometry: The Computer as a Medium for Exploring Mathematics, MIT Press, Cambridge, 1981.

Almgren, F. jr, Plateau's Problem, W. A. Benjamin, New York, 1966.

Beckenbach, E., Metric Differential Geometry, Math. Magazine, 23 (1950) 143-152.

Chern, S., Differential Geometry: Its Past and its Future, in Acts. Cong. Inter. Math. Gauthier-Villars, Paris, 1971.

McCleary, J., Geometry from a Differential Viewpoint, Cambridge U. Press, New York, 1994.

Millman, R. and G. Parker, Elements of Differential Geometry, Prentice-Hall, Englewood Cliffs, 1977.

O'Neil, B., Elementary Differential Geometry, Academic Press, New York, 1966.

Struik, D., Lectures in Classical Differential Geometry, Addison-Wesley, Reading, 1961.

15. Computational geometry

Agarwal, P., Intersection and Decomposition Algorithms for Planar Arrangements, Cambridge U. Press, 1991.

Atallah, M., (ed.), Algorithms and Computation Handbook, CRC Press, Boca Raton, 1999.

deBerg, M., and M. van Kreveld, M. Overmars, O. Schwarzkopf, Computational Geometry, Springer-Verlag, New York, 1997.

Boissonnat, J-D., and M. Yvinec, Algorithmic Geometry, Cambridge U. Press, New York, 1998.

Chazelle, B., and J. Goodman, R. Pollack, (eds.), Advances in Discrete and Computational Geometry, Contemporary Mathematics, Volume 223, American Mathematical Society, Providence, 1999.

Edelsbrunner, H., Algorithms in Combinatorial Geometry, Springer-Verlag, New York, 1987.

Goodman, J., and J. O'Rourke, (eds.), Handbook of Discrete and Computational Geometry, CRC Press, Boca Raton, 1997.

Goodman, J., and R. Pollack, W. Steiger, (eds.), Discrete and Computational Geometry, Amer. Math. Soc., Providence, 1991.

Melhorn, K., Data Structures and Algorithms 3: Multi-dimensional Searching and Computational Geometry, Springer-Verlag, New York, 1984.

Mulmuley, K., Computational Geometry: An Introduction Through Randomized Algorithms, Prentice-Hall, Englewood Cliffs, 1993.

Okabe, A. and B. Boots, K. Sugihara, Spatial Tesselations: Concepts and Applications of Voronoi Diagrams, Wiley, New York, 1992.

O'Rourke, J., Art Gallery Theorems and Algorithms, Oxford U. Press, New York, l987.

O'Rourke, J., Computational Geometry in C, Cambridge U. Press, New York, 1994.

Pach, J., (ed.), New Trends in Discrete and Computational Geometry, Springer-Verlag, New York.

Preparata, F., and I. Shamos, Computational Geometry, Springer-Verlag, New York, 1995.

Shamos, I., Computational Geometry, Ph.D., Thesis, Yale University, 1978.

Sharir, M., and P. Agarwal, Davenport-Schinzel Sequences and Their Geometric Applications, Cambridge U. Press, New York, 1995.

Toussaint, G., Computational Morphology

16. Packing and covering problems

Chakerian, G., Intersection and covering properties of convex sets, Amer. Math. Monthly, 76 (1969) 753-766.

de Bruijn, N., Filling boxes with brickes, Amer. Math. Monthly, 76 (1969) 37-40.

Gardner, M., Block Packing, Chapter 18 in Time Travel, W. H. Freeman, New York, 1988.

Gardner, M., Packing Spheres, Chapter 7 in New Mathematical Diversions from Scientific American, Simon and Shuster, New York, 1966.

Moser, W. and J. Pach, Research Problems in Discrete Geometry: Packing and Covering, DIMACS, Technical Report 93-32.

17. Rigidity Theory

Baglivo, J. and J. Graver, Incidence and Symmetry in Design and Architecture, Cambridge U. Press, London, 1983.

Bolker, E. and H. Crapo, Bracing rectangular frameworks, Siam J. Appl. Math., 36 (1979) 473-490.

Graver, J., Counting on Frameworks, Dolciani Mathematical Expositions, Number 25, MAA, Washington, 2001.

Graver, J., and B. Servatius, H. Servatius, Combinatorial Rigidity, American Mathematical Society, Providence, 1993.

Grünbaum, B. and G. Shephard, Lectures in Lost Mathematics, Mimeographed notes, U. of Washington,

Laman, G., On graphs and rigidity of plane skeletal structures, J. Eng. Math. 4 (1970) 331-340.

Otto, F., Tensile Structures, MIT Press, Cambridge, 1973.

Recski, A., Matroid Theory and its Applications in Electrical Theory and in Statics, Springer-Verlag, Berlin, 1989.

Roth, B., Rigidity and flexible frameworks, Amer. Math. Monthly, 88 (1981) 6-21.

Roth, B. and W. Whiteley, Tensegrity frameworks, Trans. Amer. Math. Soc., 256 (1981) 419-445.

Whiteley, W., Motions and stresses of projected polyhedra, Structural Topology 7 (1982) 13-38.

Whiteley, W., Matroids and rigid structures, in Matroid Applications, N. White, (ed.), Encyclopedia of Mathematics and Its Applications, Cambridge U. Press, New York, p. 1-53.

18. Geometric probability

Dahlke, R. and R. Fakler, Applications of High School Mathematics in Geometrical Probability, UMAP Module 660, COMAP, Lexington, MA., 1986.

19. Digital geometry

Rosenfeld, A., Area and curves in digital pictures, J. Assoc. Comp. Machines, 20 (1973) 81-87.

Rosenfeld, A., Digital topology, Amer. Math. Monthly, 86 (1979) 621-630.

Rosenfeld, A. and C. Kim, How a digital computer can tell whether a line is straight, Amer. Math. Monthly, 89 (1982) 230-235.

20. Knots

Adams, Colin, The Knot Book, W. H. Freeman, New York, 1994.

Bayles, E., Knots - a practical application of group theory, Math. Gazette, 57 (1973) 311-320.

Epple, M., Die Entstehung der Knotentheorie, Vieweg & Sohn, Braunschweig, 1999.

Farmer, D. and T. Stanford, Knots and Surfaces, American Mathematical Society, Providence, 1996.

Gilbert, N. and T. Porter, Knots and Surfaces, Oxford U. Press, New York, 1994.

Kauffman, L., On Knots, Princeton U. Press, Princeton, 1987.

Lickorish, W. and K. Millett, The new polynomial invariant of knots and links, Math. Magazine 61 (1988) 3-23.

Lickorish, W., An Introduction to Knot Theory, Springer-Verlag, New York, 1997.

Rademeister, K., Knots, (translated L. Born et al..), BCS Associates, Moscow, Idaho, 1983.

Rolfsen, D., Knots and Links, Publish or Perish, Wilmington, 1976.

21. Isoperimetric problems

Bottema, O. and R. Rjordjevic, R. Janic, R. Mitrnovic, P. Vosic, Geometric Inequalities, Wotters-Noordhoft, Groningen, Holland, 1969.

Fejes Toth, L., Regular Figures, Pergamon, Oxford, 1964.

22. Cartography

Deetz,C. and O. Adams, Elements of Map Projections, 3rd. ed., U.S. Government Printing Office, Washington, 1931.

Gardner, M., Curious Maps, Chapter 15 in Time Travel, W. H. Freeman, New York, 1988.

Gilbert, E., Distortion in maps, SIAM Review, 16 (1974) 47-62.

Hinks, A., Map Projections, Cambridge U. Press, London, 1921.

Mc Donnell, P., An Introduction To Map Projections, Dekker, New York 1979.

Melluirsh, R., Introduction to the Mathematics of Map Projections, Cambridge U. Press, London, 1931.

Robinson, A., Elements of Cartography, Wiley, New York, 1960.

Steers, J., An Introduction to the Study of Map Projections, U. of London Press, London, 1957.

23. Geometric extremal problems

Chakerian, G. and L. Lange, Geometric extremum problems, Math. Mag., 44 (1971) 57-69.

24. Geometric games

Berlekamp, E. and J. Conway, and R. Guy, Winning Ways, volumes 1 and 2, Academic Press, London, 1982.

Isaacs, R., Differential Games, Wiley, New York, 1965.

Nowakowski, R., (ed.), Games of No Chance, Cambridge U. Press, New York, 1996.

25. Plane curves

Besant, W., Notes on Roulettes and Glissettes, 2nd. ed., George Bell, London, 1890.

Gardner, M., Wheels, Chapter 1 in Whells, Life and Other Mathematical Amusements, W. H. Freeman, New York, 1983.

Lawrence, J., A Catalog of Special Plane Curves, Dover, New York, 1972.

Loockwood, E., A Book of Curves, Cambridge U. Press, Cambridge, 1961.

McMillan, R., Curves of pursuit, Math. Gazette, 40 (1956) 1-4.

Yates, R., The Cardiod, The Mathematical Teacher, 52 (1959) 10-14.

Yates, R., A Handbook on Curves and Their Properties, J. W. Edwards, Ann Arbor, 1952.

Zwicker, C., The Advanced Geometry of Plane Curves and Their Applications, Dover, New York, 1963.

26. Distances

Gusfield, Dan, Algorithms on Strings, Trees, and Sequences, Cambridge U. Press, New York, 1997.

Sankoff, D. and J. Kruskal, (eds.), Time Warps, String Edits, and Macromolecules: The Theory and Practice of Sequence Comparison, Addison-Wesley, Reading, 1983.

Shreider, Y., What is Distance?, U. Chicago Press, Chicago, 1974.

27. Coordinate systems

Inselberg, A., The plane with parallel coordinates, Visual Computer 1 (1985) 69-91.

Inselberg, A. and B Dinsdale, Parallel coordinates for visualizing multi-dimensional geometry, in Computer Graphics, T. Kunic (ed.), Springer-Verlag, New York, 1987, p. 25-44.

Pedoe, D., Notes on the history of geometrical ideas I: Homogeneous coordinates, Mathematics Magazine, 48 (1975) 215-217.

28. Geodesy

Bomford, G., Geodesy, 3rd. ed., Oxford, 1971.

29. Algebraic geometry

Abhyankar, S., Historical ramblings in algebraic geometry and related algebra, Amer. Math. Monthly, 83 (1976) .

Cox, D. and J. Little, D. O'Shea, Ideals, Varieties, and Algorithms, An Introduction to Algebraic Geometry and Commutative Algebra, Second Edition, Springer-Verlag, New York, 1997.

Ewald, G., Combinatorial Convexity and Algebraic Geometry, Springer-Verlag, New York, 1996.

30. Groups

Budden, F., The Fascination of Groups, Cambridge U. Press, New York, 1972.

Burn, R., Groups: A Path to Geometry, Cambridge U. Press, 1994.

Coxeter, H. and W. Moser, Generators and Relations for Discrete Groups, Springer-Verlag, New York, 1965.

Lyndon, R., Groups and Geomtry, London Mathematical Society Lecture Notes, Volume 101, Cambridge U. Press, New York, 1986.

31. Linear Programming

Chvatal, V., Linear Programming, W.H. Freeman, New York, .

Dantzig, L., Linear Programming and Extensions, Princeton U. Press, Princeton, 1963.

Solodovnikov, A., Systems of Linear Inequalities, U. Chicago Press, Chicago, 1980.

32. Conic sections

Coolidge, J., A Treatise on the Circle and the Sphere, Clarendon Press, Oxford, 1916.

Bix, R., Conics and Cubics, Springer-Verlag, New York, 1998.

Gardner, M., Hyperbolas, in Penrose Tiles to Trapdoor Ciphers, Chapter 15, W. H. Freeman, New York, 1983.

Whitt, L., The standup conic presents: The ellipse and applications, UMAP Journal, 4 (1983) 157-183.

Whitt, L., The standup conic presents: The parabola and applications, UMAP Journal, 4 (1983) 285-313.

Whitt, L., The standup conic presents: The hyperbola and applications, UMAP Journal, 5 (1984) 9-21.

33. Polygons

Gardner, M., Tilings with Convex Polygons, Chapter 13 in Time Travel, W.H. Freeman, New York, 1988.

Gardner, M., Worm Paths, Chapter 17 in Knotted Doughnuts, W.H. Freeman, New York, 1986.

34. Arrangements of hyperplanes

Edelsbrunner, H., Algorithms in Computational Geometry, Springer-Verlag, New York, 1987.

Grünbaum, B., Arrangements and Spreads, American Mathematical Society, Providence, 1972.

35. N-dimensional geometry

Forsyth, A., Geometry of Four Dimensions, Volumes 1 and 2, Cambridge U. Press, Cambridge, 1930.

Gardner, M., Hypercubes, Chapter 4 in Mathematical Carnival, A. Knopf, New York, 1975.

Manning, H., Geometry of Four Dimensions, Dover, New York, 1955.

Sommerville, D., An Introduction to the Gometry of N Dimensions, Dover, New York, 1958.

Sommerville, D., Geometry of N Dimensions, Methuen, London, 1929.

36. Space-time geometry

37. Display of data

Tufte, E., The Visual Display of Quantitative Information, Graphics Press, Cheshire, CT, 1986.

38. Image processing

Pavlis, T., Algorithms for Graphics and Image Processing, Computer Scinece Press, Rockville, MD, 1982.

Pratt, W., Digital Image Processing, Wiley-Interscience, New York, 1978.

Rosenfeld, A. and A. Kac, Digital Picture Processing, Academic Press, New York, 1976, revised 1982.

Serra, J., Image Analysis and Mathematical Morphology, Academic Press, New York, 1982.

Sugihara, K., Machine Interpretation of Line Drawings, MIT Press, Cambridge, 1986.

Wesley, M. and G. Markowsky, Fleshing out projections, IBM J. Res. Devel. 25 (1981) 934-854.

39. Linkages

Kempe, A., How to Draw a Straight Line: A Lecture on Linkage, MacMillan, London, 1877, reprinted Dover, New York.

40. Computer vision

Ballard, D. and C. Brown, Computer Vision, Prentice-Hall, Englewood Cliffs, 1982.

Fischler, M. and O. Firschein, (eds.), Readings in Computer Vision, M. Kaufmann, Los Angles, 1987.

Horn, B., Robot Vision, MIT Press, Cambridge, 1986.

Melter, R. and A. Rosenfeld and P. Bhattacharya, Vision Geometry, American Math. Soc., Providence, 1991.

Rosenfeld, A., Image analysis and computer vision: 1987, Computer Vision, Graphics, and Image Processing, 42 (1988) 234-293.

Sugihara, K., Machine Interpretation of Line Drawings, MIT Press, Cambridge, 1986.

41. Fractal geometry

Falconer, K., The Geometry of Fractal Sets, Combridge U. Press, Cambridge, 1985.

Fleischmann, M., and D. Tildesley, R. Ball, (eds.), Fractals in the Natural Sciences, Princeton U. Press, Princeton, 1990.

Lauwerirer, H., Fractals: Endlessly Repeated Geometrical Figures, Princton U. Press, Princeton, 1991.

Semmes, S., Some Novel Types of Fractal Geometry, Oxford U. Press, New York, 2001.


42. Geometric constructions

Kazarinoff, N., Ruler and The Round, Prindle, Weber, and Schmidt, Boston, 1970.

Kostowskii, A., Geometrical Constructions with Compass Alone, Mir, Moscow, 1986.

Martin, G., Geometric Constructions, Springer-Verlag, New York, 1998.

Smogorzhevskii, A., The Ruler in Geometrical Constructions, Blaisdell, New York, 1961.

43. Geometric puzzles

Coffin, S., The Puzzling World of Polyhedra Dissections, Oxford U. Press, New York, 1989.

Conway, J. and R. Guy, E. Berelekamp, Winning Ways, Academic Press, New York, 1982.
Klarner, D., The Mathematical Gardner, Wadsworth, Belmont, 1981.

Lindgren, H., Recreational Problems in Geometric Dissection and How to Solve Them, Dover, New York, 1976.

Moscovich, I., Mind Benders, Games of Shape, Vintage, New York, 1986.

Slocum, J. and J. Botermans, Puzzles Old and New, U. of Washington Press, Seattle, 1986.

Singmaster, D., (ed.), Rubic's Cube Compendium, Oxford U. Press, New York.

44. Pythagorean theorem

45. Geometric inequalities

Kazarinoff, N., Geometric Inequalities, Mathematical Association of America, Washington, 1975.

46. Integral geometry

Ambartzumian, R., Combinatorial Integral Geometry, Wiley, Chichester, 1982.

Gardner, R., Geometric Tomography, Cambridge U. Press, New York, 1995.

Matheron, G., Random Sets and Integral Geometry, Wiley, New York, 1975.

Santalo, L., Integral Geometry and Geometric Probability, Addison-Wesley, Reading, MA, 1979.

47. Optical illusions and moire patterns

Gombrich, E., Art and Illusion, London, 1972.

Gregory, R. and E. Gombrich, Illusion in Nature and Art, London, 1973.

Lanners, E., (ed.), Illusions, Holt, Rinehart, and Winston, New York, 1972.

Luckish, M., Visual Illusions, London, 1922.

Smith, D., Descriptive models for perception of optical illuions: I, UMAP Module 534, COMAP, Lexington, MA, 1986.

Tolansky, S., Optical Illusions, Oxford U. Press, Oxford, 1956.


48. Inversive geometry

Bakel'man, I., Inversions, U. Chicago Press, Chicago, 1974.

Morley, F. and F.V. Morely, Inversive Geometry, G. Bell, London, 1933.

Patterson, B., The inversive plane, Amer. Math. Monthly, 48 (1941) 589-599.

49. Solid modeling

Gasson, P., Geometry of Spacial Forms, Wiley, New York, 1983.

Mantyla, M., An Introduction to Solid Modeling, Computer Science Press, Rockville, MD, 1988.

50. VLSI design

Leighton, F., Complexity Issues in VLSI, MIT Press, Cambridge, 1983.

Mead, C. and L. Conway, Introduction to VLSI Systematics, Addison-Wesley, Reading, MA, 1980.

Ullman, J., Computational Aspects of VLSI, Computer Science Press, Rockville, MD, 1984.

51. Error-correcting codes

Baylis, J., Error-correcting Codes, Chapman & Hall, London, 1998.

Hamming, R., Coding and Information Theory, Prentice-Hall, Englewood Cliffs, 1980.

Hill, R., A First Course in Coding Theory, Oxford U. Press, Oxford, 1986.

Thompson, T., From Error-correcting Codes Through Sphere Packing to Simple Groups, Mathematical Association of America, Washington, 1983.

Welsh, D., Codes and Cryptography, Clarendon Press, Oxford, 1988.

52. Cellular automata

arbib, M., Theories of Abstract Automata, Prentice-Hall, Englewood Cliffs, 1969.

Burks, A., (ed.), Essays on Cellular Automata, U. of Illinois Press, Urbana, 1970.

Codd, E., Cellular Automata, Academic Press, New York, 1968.

Gardner, M., The Game of Life, Chapters 20-22 in Wheels, Life, and other Mathematical Amusements, W.H. Freeman, New York, 1983.

Preston, K. and M. Duff, Modern Cellular Automata, Plenum, New York, 1984.

Von Neumann, J., Theory of Self-Replicating Automata, U. of Illinois Press, Urbana, 1966.

Wolfram, S., Theory and Applications of Cellular Automata, World Scientific, Singapore, 1986.

53. Robotics

Asada, H. and J. Stolline, Robot Analysis and Control, Wiley, New York, 1986.

Brady, J., et al., Robot Motion Planning and Control, MIT Press, Cambridge, 1982.

Latombe, J., Robot Motion Planning, Kluwer Academic Publishers, Boston, 1991.

Lozano-Perez, T. and M. Wesley, An Algorithm for planning collision-free paths among polyhedral obstacles, Comm. ACM, 22 (1979) 560-570.

Schwartz, J. and C. Yap, (eds.), Advances in Robotics, L. Erlbaum, Hillside, NJ, 1987.

54. Crystallography

Buerger, M., Elementary Crystallography, Wiley, New York, 1956.

Buerger, M., Introduction to Crystal Geometry, McGraw Hill, New York, 1971.

Engel, P. Geometric Crystallography, Reidel, Dordrecht, 1986.

Senechal, M., Crystalline Symmetries, Adam Hilger, Bristol, 1990.

Senechal, M. Brief history of geometrical crystallography, in Historical Atlas of Crystallography, J. Lima-de-Faria, (ed.), published for the International Union of Crystallography by Kluwer, Dordrecht, p. 43-59.

Senechal, M., Quasicrystals and Geometry, Cambridge U. Press, New York, 1995.

55. Dynamical systems

Abraham, R. and C. Shaw, Dynamics: The Gometry of Behavior, Parts I-IV, Aerial Press, Santa Cruz, CA, 1982.

Devaney, R., An Introduction to Chaotic Dynamical Systmes, Addison-Wesley, Redwood City, 1989.

Percival, I. and D. Richards, Introduction to Dynamics, Cambridge U. Press, New York, 1982.

56. Shape grammars

Gips, J., Shape Grammars and Their Uses, Birkhauser, Boston, 1975.

Stiny, G., Pictorial and Formal Aspects of Shape Grammars, Birkhauser, Boston, 1975.

57. Catastrophe theory


Gilmore, R., Catastrophe Theory for Scientists and Engineers, Wiley, New Yoirk, 1981.

Poston, T. and I. Stewart, Catastrophe Theory and Its Applications, Pittman, London, 1978.

Zeeman, E., Catastrophe Theory - Selected Papers 1972-1977, Addision-Wesley, Reading, 1977.

58. Geometry of complex numbers

Schweltfeger, H., Geometry of Complex Numbers, Dover, New York, 1979.

Yaglom, I., Complex Numbers in Geometry, Academic Press, New York, 1968.

59. Paper folding and Origami

Row, T., Geometrical Exercises in Paper Folding, Dover, New York, 1966.

Kashahara, K., Origami Omnibus, Japan Publications, New York, 1988.

60. Geometric Ramsey theory

Graham, R. and B. Rothschild, J. Spencer, Ramsey Theory, Wiley, New York, 1980.

61. Geometry, Art and Architecture

Henderson, L., The Fourth Dimension and Non-Euclidean Geometry in Modern Art, Princeton U. Press, 1983.

Holt, M. Mathematics in Art, Van Nostrand, New York, 1971.

Kappraff, J., Connections: the Geometric Bridge Between Art and Science, McGraw Hill, New York 1990.

Sarhangi, R., (ed.), Bridges: Mathematical Connections in Art, Music, and Science, Conference Proceedings, 1998. (ISBN: 0-0665201-0-6)

Schattschnieder, D., Visions of Symmetry: Notebooks, Periodic Drawings and Related Work of M.C. Escher, W.H. Freeman, New York, 1990.

Williams, K., (ed.), Nexus: Architechture and Mathematics, Edizioni Dell'erba, Fucecchio, Italy, 1996.

Williams, K., (ed.), Nexus II: Architechture and Mathematics, Edizioni Dell'erba, Fucecchio, Italy, 1998.

Williams, K., (ed.), Nexus III: Architechture and Mathematics, Pacini Editore, Pisa, 2000.


62. Computer Graphics

Berger, M., Computer Graphics with Pascal, Benjamin/Cummings, Menlo Park, 1986.

Boehm, W., and H. Prautzsch, Geometric Concepts for Geometric Designs, A.K. Peters, Wellesley, l994.

Burger, P. and D. Gillies, Interactive Computer Graphics, Addison-Wesley, Reading, 1989.

Farin, G. and D. Hansford, The Geometry Tool Box, A.K. Peters, Natick, Massachusetts, 1998.

Foley, I. and A. Van Dam, Fundamentals of Interactive Computer Graphics, Addison-Wesley, Reading, 1982.

Foley, J. and A van Dam, S. Feiner, J. Hughes, Computer Graphics, Principles and Practice, Addison-Wesley, Reading, 1990.

Harrington, S., Computer Graphics, McGraw Hill, New York, 1986.

Hoggar, S., Mathematics for Computer Graphics, Cambridge U. Press, Cambridge, 1992.

Marsh, D., Applied Geometry for Computer Graphics and CAD, Springer-Verlag, New York, 1999.

Melter, R. and A. Rosenfeld, P. Bhattacharya, Vision Geometry, American Mathematical Society, 1991.

Watt, A., Fundamentals of Three-dimensional Computer Graphics, Addisoon-Wesley, Reading, 1990.

63. Geometry and Physics

Gray, J. (ed.), The Symbolic Universe, Oxford U. Press, London, 1999.

64. Descriptive Geometry

Hawk, M., Descriptive Geometry, McGraw Hill, New York, 1962.

Slaby, S., Three Dimensional Descriptive Geometry, Wiley, New York, 1965.

65. Geometry of Fabrics

Astle, B., Pantactic squares, Math. Gazette 49 (1965) 144-52.

Bouwkamp, C., and P. Janssen, A. Koene, Note on pantactic squares, Math. Gazette 54 (1970) 348-351.

Clapham, C., When a fabric hands together, Bull. London Math. Soc., 12 (1980) 161-164.

Enns, T., Efficient algorithms determining when a fabric hands together, Geom. Dedicata

Grünbaum, B., and G. Shephard, The Geometry of Fabrics, 77-97.

Grünbaum, B., and G. Shephard, Satins and twills: an introduction to the geometry of fabrics, Math. Magazine 53 (1980) 139-161.

Grünbaum, B., and G. Shephard, A catalogue of isonemal fabrics, Annals of the New York Academy of Sciences,

Grünbaum, B., and G. Shephard, Isonemal fabrics of periods greater than 8,

Grünbaum, B., and G. Shephard, Isonemal fabrics, Amer. Math. Monthly,

Grünbaum, B., and G. Shephard, Geometry of fabrics, Abstract 757-D1, Notices of the Amer. Math. Soc., 25 (1978), A-462.

Hoskins, J., Factoring binary matrices: a weaver's approach, Lecture Notes in Mathematics, Vol. 952, Springer-Verlag, New York, 1983, 300-326.

Hoskins, J., and W. Hoskins, The solutions of certain matrix equations arising from the structural analysis of woven fabrics, Ars Combinatoria 11 (1981) 51-59.

Hoskins, J. and W. Hoskins, A. Street, R. Stanton, Some elementary isonemalo binary matrics, Ars Combinatoria 13 (1982) 3-38.

Hoskins, J., C. Praeger, A. Street, Twills with bounded float length, Proc. Adelaide Conference on Combinatorial Methods,

Hoskins, J., and R. Stanton, A. Street, Enumerating the compound twillins, Congressus Numerantium,

Hoskins, W., and A. Street, Twills on a given number of harnesses, J. Australian Math. Soc. (Ser. A), 33 (1982) 1-15.

Hoskins, W., and R. Thomas, Conditions for isonemal arrays on a Cartesian grid, Lin. Algebra and Appl.

Lucas, E., Application de L'Arithmétique àla Construction de l"Armure des Satins Réguliers, Paris, 1867.

Lucas, E., Le principes fondamentaux de la géometrie des tissus, Compte Rendu del l'Association Francasise pour l'Avancement des Sciences 40 (1911) 72-88.

Pedersen, J., Some isonemal fabrics on polyhedral surfaces, The Geometric Vein, The Coxeter Festschrift, (ed. C. Davis, B. Grünbaum, and F. Sherk, Springer-Verlag, New York, 1981, 99-122.

Shorter, S., the matematical theory of sateen arrangement, Math. Gaxette 10 (1920) 92-97.

Steggall, J., On the numbers of patterns that can be derived from certain elements, Messenger of Math. 37 (1908) 56-61.

Woods, J., The geometrical basis of pattern design, Textile Institute of Manchester Journal 26 (1935) (Section 2, Transactions): Part I - Point and line symmetry in simple figures and borders, T197-210; Part II - Nets and sateens, T293-308; Part III - Geometrical symmetry in palnae patterns, T341-T357.


66. Teaching Geometry

Lindquist, M. and A. Shulte, (eds.), Learning and Teaching Geometry, K-12, 1987 Year Book, National Council of Teachers of Mathematics, Reston, 1987.

Mammana, C. and V. Villani, (eds.), Perspective on the Teaching of Geometry for the 21st Century, Kluwer, Dordrecht, 1998.

67. History of geometry

Biggs, N. and E. Llyod, R. Wilson, Graph Theory, 1736-1936, Oxford U. Press, 1968 (updated: 1998).

Coolidge, J., A History of Geometrical Methods, Oxford U. Press, 0xford, 1940.

Coolidge, J., A History of Conic Sections and Quadric Surfaces, Dover, New York, 1968.

Dieudonne, J., The historical development of algebraic geometry, Amer. Math. Monthly, 79 (1972) 827-866.

Federico, P., Descartes on Polyhedra, Springer-Verlag, New York, 1982.

Richards, J., Mathematical Visions: The Pursuit of Geometry in Victorian England, Academic Press, San Diego, 1988.

Seidenberg, A., The ritual origins of geometry, Archives for the History of Exact Sciences, 1 (1962) 488-527.

Van der Waerden, B., Geometry and Algebra in Ancient Civilizations, Springer-Verlag, New York, 1983.



Journals which Treat Geometry

Algorithmica

American Mathematical Monthly (MAA)

Applied Discrete Mathematics

Australian Journal of Combinatorics

College Mathematics (MAA)

Combinatorica

Computational Geometry

Computer Vision, Graphs and Image Processing

Discrete and Computational Geometry

Discrete Mathematics

Discrete Applied Mathematics

European Journal of Combinatorics

Geombinatorics

Geometrica Dedicata

Graphs and Combinatorics

Information Processing Letters

International Journal of Computational Geometry and Its Applications

Journal of Algorithms

Journal of Combinatorial Theory (Series A, Series B)

Journal of Differential Geometry

Jourrnal of Graph Theory

Mathematical Gazette

Mathematics Intelligencer

Mathematics Magazine (MAA)

Networks

Pattern Recognition Letters

SIAM Journal of Discrete Mathematics


Series:

ACM Symposium on Computatonal Geometry (Published by ACM)

Graph Drawing (Published in Lecture Notes in Computer Science series, Springer-Verlag).


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