Transcendental Number Theory - Rilegato

Baker, Alan

 
9780521204613: Transcendental Number Theory

Sinossi

An update of the classic book giving a systematic account of transcendental number theory.

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Descrizione del libro

This classic book gives a systematic account of transcendental number theory, that is numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. The updated volume includes new advances in the theory and many new references.

Contenuti

Preface; 1. The origins; 2. Linear forms in logarithms; 3. Lower bounds for linear forms; 4. Diophantine equations; 5. Class numbers of imaginary quadratic fields; 6. Elliptic functions; 7. Rational approximations to algebraic numbers; 8. Mahler's classification; 9. Metrical theory; 10. The exponential function; 11. The Siegel-Shidlovsky theorems; 12. Algebraic independence; Bibliography; Original papers; Further publications; New developments; Index.

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