James Callahan

Professor Emeritus
Department of Mathematics and Statistics
Clark Science Center
Smith College
Northampton, MA 01063

E-mail

My email address is callahan at smith dot edu

The figure above shows portions of several hyperboloids (of one and two sheets) that occur as level surfaces of the function
f (x, y, z) = x2 + y2 -- z2.

Calculus in Context
The Five College Calculus Project (1995, 2008)

The complete text is now available here for free download online.

View the text and download individual chapters

The authors

QBasic

The Geometry of Spacetime
An Introduction to Special and General Relativity
An Undergraduate Text in Mathematics (hardcover 2000, 2001, 2011)

Listing by Springer Verlag

Browse pages online

Errata file to 14 March 2011.

Solution to Exercise 2, Section 6.5, page 326 (Proposition 6.14: The mixed Riemann curvature tensor is a (1,3) tensor), in PDF format

Errata file for the Solutions Manual (available from the publisher).

Advanced Calculus
A Geometric View
An Undergraduate Text in Mathematics (2010)

Listing by Springer-Verlag

Browse pages online (Springer site)

Browse pages online (Amazon site)

Errata file to 30 November 2012.

Errata file for the Solutions Manual (available from the publisher).