By David Mumford, C. Musili, M. Nori, E. Previato, M. Stillman, H. Umemura

The moment in a chain of 3 volumes surveying the idea of theta capabilities, this quantity offers emphasis to the distinct houses of the theta services linked to compact Riemann surfaces and the way they result in recommendations of the Korteweg-de-Vries equations in addition to different non-linear differential equations of mathematical physics.

This publication provides an specific user-friendly building of hyperelliptic Jacobian types and is a self-contained advent to the speculation of the Jacobians. It additionally ties jointly nineteenth-century discoveries as a result of Jacobi, Neumann, and Frobenius with contemporary discoveries of Gelfand, McKean, Moser, John Fay, and others.

A definitive physique of knowledge and study as regards to theta features, this quantity can be an invaluable addition to person and arithmetic study libraries.