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 at the right 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, softcover 2013, ebook 2012)

Listing by Springer Verlag

Browse pages online

Errata file to 29 April 2015.

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 (hardcover 2010, ebook 2011)

Listing by Springer-Verlag

Browse pages online (Springer site)

Browse pages online (Amazon site)

Errata file to 21 March 2017.

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