Publications of Brad Osgood
Books

Calculus:
Fourth Edition A. Gleason, D. Hughes Hallett et al, John Wiley &
Sons, New York, 2005. First edition, 1992; also translated
into Spanish and Chinese.

Multivariable Calculus: Fourth
Edition, A. Gleason, D. Hughes Hallett et al, John Wiley & Sons,
New York, 2005. First edition, 1996.

Single and Multivariable Calculus: Fourth
Edition, A. Gleason, D. Hughes Hallett et al, John Wiley & Sons,
New York, 2005.
 Applied Calculus: Third Edition, A. Gleason, D. Hughes
Hallett et al, John Wiley & Sons, New York, 2006. First edition, 1996.

Quasiconformal mappings and analysis: A collection of papers
honoring F. W. Gehring, P. Duren, J. Heinonen, B. Osgood and
B. Palka, eds., SpringerVerlag, New York, 1998.
Refereed Journals and Conference Papers

F.W. Gehring and B. Osgood,
"Uniform domains and the quasihyperbolic metric," Journal
d'Analyse Mathématique, 36(1):5074, December 1979.

B. Osgood, "Univalence criteria
in multiplyconnected domains," Transactions of the American
Mathematical Society, 260(2):459473, August 1980.

B. Osgood, "Some properties
of f''/f' and the Poincaré metric," Indiana University
Mathematics Journal, 31(4):449461, 1982.

G. Martin and B. Osgood,
"The quasihyperbolic metric and associated estimates on the hyperbolic
metric," Journal d'Analyse Mathématique
47(1):3753, December 1986.

B. Flinn and B. Osgood,
"Hyperbolic curvature and conformal mapping," Bulletin of
the London Mathematical Society, 18(3):272276, May 1986.

B. Osgood and D. Stowe, "The Schwarzian distance between domains: a
question of O. Lehto," Annales Academia Scientiarum Fennica,
12:313318, 1987.

B. Osgood, R. Phillips and P. Sarnak, "Extremals of determinants of
Laplacians," Journal of Functional Analysis
80(1):148211, September 1988.

B. Osgood, R. Phillips and P. Sarnak, "Compact isospectral sets of
surfaces," Journal of Functional Analysis
80(1):212234, September 1988.

B. Osgood, R. Phillips and P. Sarnak, "Compact isospectral sets of plane
domains," Proceedings of the National Academy of
Sciences, 85(15):53595361, August 1988.

B. Osgood, R. Phillips and P. Sarnak,
"Moduli space, heights and isospectral sets of plane domains,"
Annals of Mathematics 129(2):293362, March 1989.

B. Osgood and D. Stowe, "A
generalization of Nehari's univalence criterion," Commentarii
Mathematici Helvetici, 65(1):234242, December 1990.

B. Osgood and D. Stowe, "The
Schwarzian derivative and conformal mapping of Riemannian manifolds,"
Duke Mathematical Journal, 67(1):5799, 1992.

M. Chuaqui and B. Osgood, "The
Schwarzian derivative and conformally natural quasiconformal
extensions from one to two to three dimensions,"
Mathematische Annalen, 292(1):267280, March 1992.

B. Osgood, "The Möbius connection in the bundle of conformal
2jets," Idaho State Conference on Vector Bundles in Complex
Differential Geometry, 1992.

M. Chuaqui and B. Osgood, "Sharp
distortion theorems associated with the Schwarzian derivative",
Journal London Math. Soc (2) 48:289298, 1993.

M. Chuaqui and B. Osgood, "AhlforsWeill
extensions of conformal mappings and critical points of the
Poincaré metric," Commentarii Mathematici
Helvetici, 69(1):659668, December 1994.

M. Chuaqui and B. Osgood, "An
extension of a theorem of Gehring and Pommerenke," Israel
Journal of Mathematics,, 91(13):393407, October 1995.

M. Chuaqui, B. Osgood and C. Pommerenke,
"John domains, quasidisks, and the Nehari class," Journal für
die reine und angewandte Mathematik,, 471:77114, 1996.

M. Chuaqui and B. Osgood,
"Weak Schwarzians, bounded hyperbolic distortion, and smooth
quasisymmetric functions," Journal d'Analyse
Mathematique 68(1):209252, December 1996.

M. Chuaqui, B. Osgood and D. Stowe,
"Functions with prescribed quasisymmetry quotients,"
Proceedings of the American Mathematical Society,
125(7):21952197, July 1997.

B. Osgood, Old and new on the Schwarzian derivative,"
Quasiconformal Mappings and Analysis, P. Duran, J. Heinonen,
B. Osgood, B. Palka, eds., Springer, New York, pp.275308, 1998.

M. Chuaqui and B. Osgood, "General
univalence criteria in the disk: Extensions and extremal
functions," Annales Academia Scientiarum Fennica, 23(1):101132, 1998.

M. Chuaqui, B. Osgood and C. Pommerenke, "On the coefficients of small univalent
functions," Results in Mathematics, 33:7986, 1998.

M. Chuaqui and B. Osgood, "John domains
and a univalence criterion of Ahlfors," Results in
Mathematics, 33:203207, 1998.

B. Osgood and D. Stowe,
"The Schwarzian derivative, conformal connections, and Möbius
structures," Journal d'Analyse Mathématique,
76(1):163190, December 1998.

M. Chuaqui and B. Osgood, "Finding
complete conformal metrics to extend conformal mappings,"
Indiana University Mathematics Journal, 47(4):12731291, 1998.

M. Chuaqui and B. Osgood, "Recent progress
on the geometry of univalence criteria," Contemporary
Mathematics, 240:7587, 1999.

M. Chuaqui, P. Duren and B. Osgood, "The Schwarzian derivative for harmonic
mappings," Journal d'Analyse Mathématique,
91(1):329351, December 2003.

J. H. Lee, B. Osgood and D. Nishimura, "Optimal variabledensity kspace
sampling in MRI," Proceedings of the IEEE International
Symposium on Biomedical Imaging: From Nano to Macro,, 1:237240,
April 2004.

M. Chuaqui, P. Duren and B. Osgood, "Curvature properties of planar harmonic
mappings," Computational Methods and Function Theory.,
4(1):127142, 2004.

M. Chuaqui, P. Duren and B. Osgood, "Ellipses, near ellipses, and harmonic
Möbius transformations," Proceedings of the American
Mathematical Society, 133(9):27052710, March 2005.

M. Chuaqui, P. Duren and B. Osgood, "Univalence criteria for lifts of harmonic
mappings to minimal surfaces," Journal of Geometric
Analysis, 17(1):4974, March 2007.

M. Chuaqui and B. Osgood, "A
generalization of Nehari's pcriterion for univalence," Complex
Variables and Elliptic Equations, 52(23):225233, February 2007.

M. Chuaqui, P. Duren and B. Osgood, "Schwarzian derivative criteria for valence
of analytic and harmonic mappings," Mathematical Proceedings
of the Cambridge Philosophical Society, 143(2):473486, September
2007.

M. Chuaqui, P. Duren and B. Osgood,
"Schwarzian derivatives and uniform local univalence,"
Computational Methods and Function Theory, 8(1):2134, 2008.

M. Chuaqui, P. Duren and B. Osgood, "Schwarzian derivatives of analytic and
harmonic functions," Complex and Harmonic Analysis, Proceedings of
the International Conference, 2006, Aristotle University of
Thessaloniki, pp.2533, DEStech Pub, Lancaster PA, 2007.

M. Chuaqui, P, Duren, B. Osgood and D. Stowe, "Oscillation of solutions of linear
differential equations," Bulletin of the Australian
Mathematical Society 79(1):161169, February 2009.

B. Osgood and W. Wu, "Falling Factorials, Generating Functions, and
Conjoint Ranking Tables," Journal of Integer Sequences,
vol.12, article 09.7.8, December 2009.

M. Chuaqui, P. Duren and B. Osgood, "Injectivity Criteria for Holomorphic
Curves in C^n," Pure and Applied Mathematics
Quarterly, to appear.

B. Osgood and E. Horowitz, "Bezier parabolas and medians of a
triangle", submitted to American Mathematical Monthly.

M. Chuaqui, P. Duren and B. Osgood, "Twopoint distortion theorems for
harmonic mappings," in preparation.