{"product_id":"topics-in-complex-function-theory-volume-3-abelian-functions-and-modular-functions-of-several-variables-paperback-softback-9780471504016","title":"Topics in Complex Function Theory, Volume 3; Abelian Functions and Modular Functions of Several Variables (Paperback \/ softback) 9780471504016","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eTopics in Complex Function Theory, Volume 3\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAbelian Functions and Modular Functions of Several Variables\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eCarl Ludwig Siegel (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780471504016, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 19 April 1989\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e256 pages\u003cbr\u003e22.8 x 14.9 x 1.3 cm, 0.34 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eABELIAN FUNCTIONS.\u003cbr\u003e \u003cbr\u003e Power Series in Several Variables.\u003cbr\u003e \u003cbr\u003e The Preparation Theorem.\u003cbr\u003e \u003cbr\u003e Regular Functions.\u003cbr\u003e \u003cbr\u003e Meromorphic Functions.\u003cbr\u003e \u003cbr\u003e The Theorem of Weierstrass and Cousin.\u003cbr\u003e \u003cbr\u003e The Period Group.\u003cbr\u003e \u003cbr\u003e Jacobian Functions.\u003cbr\u003e \u003cbr\u003e Linearization of the Exponent System.\u003cbr\u003e \u003cbr\u003e The Period Relations.\u003cbr\u003e \u003cbr\u003e The Reduced Exponent System.\u003cbr\u003e \u003cbr\u003e Existence Proofs.\u003cbr\u003e \u003cbr\u003e Picard Varieties.\u003cbr\u003e \u003cbr\u003e The Addition Theorem.\u003cbr\u003e \u003cbr\u003e MODULAR FUNCTIONS OF SEVERAL VARIABLES.\u003cbr\u003e \u003cbr\u003e Automorphic Functions of Several Variables.\u003cbr\u003e \u003cbr\u003e Algebraic Relations Between Automorphic Functions.\u003cbr\u003e \u003cbr\u003e Symplectic Geometry.\u003cbr\u003e \u003cbr\u003e Abelian Functions and Modular Functions.\u003cbr\u003e \u003cbr\u003e The Fundamental Region of the Modular Group.\u003cbr\u003e \u003cbr\u003e Modular Forms.\u003cbr\u003e \u003cbr\u003e The Field of Modular Functions.\u003cbr\u003e \u003cbr\u003e Algebraic Dependence.\u003cbr\u003e \u003cbr\u003e Bibliography.\u003cbr\u003e \u003cbr\u003e Cumulative Index Volumes I, II, and III.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-Interscience","offers":[{"title":"Brand New","offer_id":52293501223192,"sku":"9780471504016","price":142.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780471504016.jpg?v=1781642704","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/topics-in-complex-function-theory-volume-3-abelian-functions-and-modular-functions-of-several-variables-paperback-softback-9780471504016","provider":"Freshly Printed Books","version":"1.0","type":"link"}