Table of Contents

• 1. Elliptic functions as trigonometry
• 2. Differential equations satisfied by the Jacobi elliptic functions: pendula
• 3. General reduction of the DE in terms of Jacobi functions
• 4. Elliptic integrals

About the Author

Dr. W. Schwalm has been in the Department of Physics & Astrophysics at the University of North Dakota, USA since 1980. His research is in condensed matter theory and application of mathematical methods to physical problems. He has taught lots of different physics courses at all levels. Current research involves application of Lie groups to finding generating functions for the stationary states of quantum systems, and also applying them to decoupling discrete dynamical systems. Another area of active interest is in finding Green functions for certain classes of lattice problems involving electron transport, vibrations and other collective excitations.Dr. Schwalm has received two outstanding teaching awards, the University of Utah Physics Outstanding Undergraduate Instructor (1979) and the McDermott award for Excellence in Teaching, UND (1995).