This quantity is the 3rd of 3 in a chain surveying the speculation of theta capabilities. in accordance with lectures given by way of the writer on the Tata Institute of primary examine in Bombay, those volumes represent a scientific exposition of theta capabilities, starting with their ancient roots as analytic features in a single variable (Volume I), concerning a number of the appealing methods they are often used to explain moduli areas (Volume II), and culminating in a methodical comparability of theta services in research, algebraic geometry, and illustration conception (Volume III).

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