- Chapter 5, using ghost contours to sum series.
- Chapter 6, section 6.39, Green's functions with boundary conditions.
- Chapter 6, section 6.40, the principle of stationary action in field theory.
- Chapter 10, section 10.17, the addition theorem for spherical harmonics.
- Chapter 10, section 10.27, simpler signs.
- Chapter 10, section 10.28, example of a semisimple Lie algebra.
- Chapter 14, section 14.4, how to use complex weight functions to compute mean values and a new example of how to do highly multiple integrations.
- Chapter 15, section 15.5, example 15.3, functional differential equation.

New Exercises for Chapter
1,
Chapter
5,
Chapter
6,
Chapter
8,
Chapter
10,
Chapter 11,
Chapter 13,
Chapter 14,
and Chapter
16.