Download E-books Introduction to Algebraic Independence Theory (Lecture Notes in Mathematics) PDF

Within the final 5 years there was very major growth within the improvement of transcendence concept. a brand new method of the mathematics houses of values of modular varieties and theta-functions was once came upon. the answer of the Mahler-Manin challenge on values of modular functionality j(tau) and algebraic independence of numbers pi and e^(pi) are such a lot outstanding result of this leap forward. The booklet offers those and different effects on algebraic independence of numbers and extra, an in depth exposition of equipment created in final the 25 years, in which commutative algebra and algebraic geometry exerted powerful catalytic impact at the improvement of the topic.

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