{"product_id":"topics-in-complex-function-theory-volume-2-9780471608431","title":"Topics in Complex Function Theory Volume 2","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eDevelops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eAUTOMORPHIC FUNCTIONS.\u003cbr\u003e \u003cbr\u003e Fractional Linear Transformations.\u003cbr\u003e \u003cbr\u003e Noneuclidean Geometry.\u003cbr\u003e \u003cbr\u003e Discontinuous Groups.\u003cbr\u003e \u003cbr\u003e Polygon Groups.\u003cbr\u003e \u003cbr\u003e Poincar Series.\u003cbr\u003e \u003cbr\u003e The Field of Automorphic Functions.\u003cbr\u003e \u003cbr\u003e Automorphic and Algebraic Functions.\u003cbr\u003e \u003cbr\u003e Algebraic Curves of Genus 0 and 1, Canonical Polygons.\u003cbr\u003e \u003cbr\u003e ABELIAN INTEGRALS.\u003cbr\u003e \u003cbr\u003e Reduction, Existence.\u003cbr\u003e \u003cbr\u003e The Period Matrix.\u003cbr\u003e \u003cbr\u003e The Modular Group.\u003cbr\u003e \u003cbr\u003e Canonical Transformation.\u003cbr\u003e \u003cbr\u003e The Theorem of Riemann and Roch.\u003cbr\u003e \u003cbr\u003e The Theorem of Abel.\u003cbr\u003e \u003cbr\u003e The Jacobi Inversion Problem.\u003cbr\u003e \u003cbr\u003e Theta Functions.\u003cbr\u003e \u003cbr\u003e The Zeros of the Theta Function.\u003cbr\u003e \u003cbr\u003e Theta Quotients.\u003cbr\u003e \u003cbr\u003e Jacobi-Abel Functions.\u003cbr\u003e \u003cbr\u003e Cumulative Index: Vols.\u003cbr\u003e \u003cbr\u003e I \u0026amp; II","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402643677527,"sku":"9780471608431","price":165.56,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471608431.jpg?v=1730481081","url":"https:\/\/bookcurl.com\/products\/topics-in-complex-function-theory-volume-2-9780471608431","provider":"Book Curl","version":"1.0","type":"link"}