Transcendental and Algebraic Numbers in all major keys

in all major keys

Rossini's Overture to William Tell

graduate course

this two-part treatment begins with the basic theory of vector spaces and linear maps

Twain's abundant humor waxes as freely as ever

Transcendental and Algebraic Numbers in all major keysPrimarily an advanced study of the modern theory of transcendental and algebraic numbers, this treatment by a distinguished Soviet mathematician focuses on the theory's fundamental methods. The text also chronicles the historical development of the theory's methods and explores the connections with other problems in number theory. The problem of approximating algebraic numbers is also studied as a case in the theory of transcendental numbers. Topics