Geometry Bibliography

by
Edwin B. Dean

Bishop, R. L. and R. J. Crittenden (1964). Geometry of Manifolds, Academic Press, New York, NY, USA.

Boothby, W. M. (1975). An Introduction to Differentiable Manifolds and Riemannian Geometry, Academic Press, New York, NY, USA.

Cartan, E. (1983). Geometry of Riemannian Spaces, Math Sci Press, Brookline, MA, USA. (A translation of Leçons sur la Géométrie des Espaces de Riemann, 2nd. ed., Gauthier-Villars, 1951)

Darling, R. W. R. (1994). Differential Forms and Connections, Cambridge University Press, Cambridge, UK.

Do Carmo, M. P. (1976). Differential Geometry of Curves and Surfaces, Prentice Hall, Englewood Cliffs, NJ, USA.

Do Carmo, M. P. (1992). Riemannian Geometry, Birkhauser, Boston, MA, USA.

Doolin, B. F. and C. F. Martin (1990). Introduction to Differential Geometry for Engineers, Marcel Dekker, Inc., New York, NY, USA.

Edwards, H. M. (1994). Advanced Calculus: A Differential Forms Approach, Birkhäuser, Boston, MA, USA.

Eisenhart, L. P. (1925). Riemannian Geometry, Princeton University Press, Princeton, NJ. USA.

Eisenhart, L. P. (1940). An Introduction to Differential Geometry with Use of the Tensor Calculus, Princeton University Press, Princeton, NJ. USA.

Flanders, H. (1963). Differential Forms with Applications to the Physical Sciences, Academic Press, New York, NY, USA.

Gerretsen, J. C. H. (1962). Lectures on Tensor Calculus and Differential Geometry, P. Noordhoff N.V., Groningen, The Netherlands.

Gray, A. (1993). Modern Differential Geometry of Curves and Surfaces, CRC Press, Boca Raton, FL, USA.

Levi-Civita, T. (1977). The Absolute Differential Calculus, Dover Publications, Inc., New York, NY, USA. (Originally published in 1926 by Blackie and Son Limited, Glasgow, Scotland.)

Matsushima, Y. (1972). Differentiable Manifolds, Marcel Dekker, Inc., New York, NY, USA.

Millman, R. S. and G. D. Parker (1977). Elements of Differential Geometry, Prentice Hall, Englewood Cliffs, NJ, USA.

Nomizu, K. and T. Sasaki, Affine Differential Geometry, Cambridge University Press, Cambridge, UK.

O.Neill, B. (1966). Elementary Differential Geometry, Academic Press, New York, NY, USA.

Postnikov, M. M. (1983). The Variational Theory of Geodesics, Dover, Publications, Inc., New York, NY, USA. (Originally published in 1965 in Russian as Variatsionnaya Teoriya Geodezicheskikh, Nauka Press, Moscow.)

Spivak, M. (1979). Differential Geometry, Vols. I-V, 2nd. ed., Publish or Perish, Inc., Houston, TX, USA.

Steenrod, N. (1951). The Topology of Fibre Bundles, Princeton University Press, Princeton, NJ, USA.

von Westenholtz, C. (1978). Differential Forms in Mathematical Physics, North-Holland Publishing Company, Amsterdam, The Netherlands.

Weintraub, S. H. (1997). Differential Forms: A Complement to Vector Calculus, Academic Press, San Diego, CA, USA.

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