The moment in a chain of 3 volumes that survey the speculation of theta capabilities, this quantity emphasizes the specific homes of the theta capabilities linked to compact Riemann surfaces and the way they result in suggestions of the Korteweg-de-Vries equations in addition to different non-linear differential equations of mathematical physics.
It offers an particular basic development of hyperelliptic Jacobian forms and is a self-contained advent to the speculation of the Jacobians. It additionally ties jointly nineteenth-century discoveries because of Jacobi, Neumann, and Frobenius with contemporary discoveries of Gelfand, McKean, Moser, John Fay, and others.
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