Suggested Readings

TEXTBOOKS

R. ARTZY : Linear Geometry, Addison-Wesley, 1965.

T. BANCHOFf and J. WERMER : Linear Algebra through Geometry, Springer-Verlag, 1983.

A.L. BEARDON : Algebra and Geometry, Cambridge University Press, 2005.

D.A. BRANNAN, M.F. ESPLEN and J.J. GRAY : Geometry, Cambridge University Press, 1999.

O. BRETSCHER : Linear Algebra with Applications, Prentice Hall, 1997.

R.P. BURN : Groups. A Path to Geometry, Cambridge University Press, 1991.

H.S.M. COXETER : Introduction to Geometry, Wiley, 1969.

S.V. DUZHIN and B.D. TCHEBOTAREVSKY : Transformation Groups for Beginners, Amer. Math. Soc., 2004.

M.J. GREENBERG : Euclidean and Non-Euclidean Geometry. Development and History, W.H. Freeman, 1980.

D.W. HENDERSON : Experiencing Geometry. In Euclidean, Spherical, and Hyperbolic Spaces (2/E), Prentice Hall, 2001.

M. HENLE : Modern Geometries. Non-Euclidean, Projective, and Discrete (2/E), Prentice Hall, 2001.

G.A. JENNINGS : Modern Geometry with Applications, Springer-Verlag, 1994.

L.S. LEVY : Geometry. Modern Mathematics via the Euclidean Plane, Weber & Schmidt, 1970.

G.E. MARTIN : Transformation Geometry. An Introduction to Symmetry, Springer-Verlag, 1982.

P.M. NEUMANN, G.A. STOY and E.C. THOMPSON : Groups and Geometry, Oxford University Press, 2003.

V. NIKULIN and I.R. SHAFAREVICH : Geometries and Groups, Springer-Verlag, 1987.

E.G. REES : Notes on Geometry, Springer-Verlag, 2000.

J. ROE : Elementary Geometry, Oxford University Press, 1993.

T.Q. SIBLEY : The Geometric Viewpoint. A Survey of Geometries, Addison-Wesley, 1998.

J.R. SMART : Modern Geometries, Brooks/Cole, 1998.

EXPOSITORY PAPERS

M. ATIYAH : What is geometry ?, The Mathematical Gazette 66(1982), 179-184.

S.S. CHERN : From triangles to manifolds, Amer. Math. Monthly 86(1979), 339-349.

S.S. CHERN : What is geometry ? Amer. Math. Monthly 97(1990), 679-686.

R.S. MILLMAN : Kleinian transformation geometry, Amer. Math. Monthly 84(1977), 338-349.

R.S. MILLMAN and A.K. STEHNEY : The geometry of connections, Amer. Math. Monthly 80(1973), 475-500.

D. SCHATTSCHNEIDER : The plane symmetry groups - their recognition and notation, Amer. Math. Monthly 85(1978), 439-450.

MISCELLANY

E.A. ABBOT : Flatland. A Romance of Many Dimensions, Dover, 1990.

M. ARTIN : Algebra, Prentice Hall, 1991.

R. COURANT and H. ROBBINS : What is Mathematics ? An Elementary Approach to Ideas and Methods (2/E), Oxford University Press, 1996.

P.J. DAVIS and R. HERSCH : The Mathematical Experience, Birkhauser, 1981.

J.R. DURBIN : Modern Algebra. An Introduction (5/E), Wiley, 2005.

D. HILBERT and S. COHN-VOSSEN : Geometry and the Imagination, Chelsea, 1952.

E.F. KRAUSE : Taxicab Geometry. An Adventure in Non-Euclidean Geometry, Dover, 1986.

W. MEYER : Geometry and its Applications, Academic Press, 1999.

P.S. MODENOV and A.S. PARKHOMENKO : Geometric Transformations, vol. 1, Academic Press, 1965.

V.V. PRASOLOV and V.M. TIKHOMIROV : Geometry, Amer. Math. Soc., 2001.

I. STEWART : Why Beauty is Truth. A History of Symmetry, Basic Books, 2007.

I. STEWART and M. GOLUBITSKY : Fearful Symmetry. Is God a Geometer ?, Penguin, 1992.

J. STILLWELL : Geometry of Surfaces, Springer-Verlag, 1992.

W.F. TAYLOR : The Geometry of Computer Graphics, Wadsworth & Brooks/Cole, 1992.

H. WALSER : Symmetry, The Mathematical Association of America, 2000.

H. WEYL : Symmetry, Princeton University Press, 1992.

I.M. YAGLOM : Felix Klein and Sophus Lie. Evolution of the Idea of Symmetry in the Nineteenth Century, Birkhauser, 1988.