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First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory enriching many branches of pure mathematics. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalisation of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's |E|-functions and of Sprindzuk's solution to the Mahler conjecture. The volume was revised in 1979: however Professor Baker has taken this further opportunity to update the book including new advances in the theory and many new references.
Transcendental numbers --- -511 --- Numbers, Transcendental --- Irrational numbers --- Bibliography --- Number theory --- Transcendental numbers. --- Bibliography. --- 511 Number theory --- 511
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Groups(Algebraic-) --- Numbers(Transcendental-) --- Subgroups
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Mathematical logic --- Cardinal numbers --- Combinatorial set theory --- Ideals (Algebra) --- Algebraic ideals --- Algebraic fields --- Rings (Algebra) --- Set theory, Combinatorial --- Combinatorial analysis --- Set theory --- Arithmetic, Cardinal --- Cardinal arithmetic --- Cardinals (Numbers) --- Numbers, Cardinal --- Transfinite numbers --- Combinatorial set theory. --- Cardinal numbers. --- Nombres cardinaux. --- Idéaux (algèbre) --- Ensembles, Théorie combinatoire des.
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LEG Leguminosae --- Leguminosae --- Medicago --- alfalfa --- chromosome numbers --- evolution --- genetics --- keys --- monographs --- photographs --- speciation --- taxonomy
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Set theory --- Théorie des ensembles --- Cardinal numbers. --- Nombres cardinaux --- Théorie des ensembles
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Mathematics --- Cantor, G. --- Set theory --- Transfinite numbers --- History --- Cantor, Georg, --- 510.2 --- Infinite --- -Transfinite numbers --- -Numbers, Transfinite --- Transfinite ordinals --- Number theory --- Aggregates --- Classes (Mathematics) --- Ensembles (Mathematics) --- Mathematical sets --- Sets (Mathematics) --- Theory of sets --- Logic, Symbolic and mathematical --- Infinity --- Finite, The --- Foundations of mathematics --- Cantor, Georg --- Infinite. --- History. --- -Foundations of mathematics --- 510.2 Foundations of mathematics --- -Infinity --- Numbers, Transfinite --- Set theory - History --- Transfinite numbers - History --- Cantor, Georg, - 1845-1918
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517.53 --- 515.1 --- Functions of complex variables --- Numbers, Complex --- #TCPW W5.0 --- Complex numbers --- Imaginary quantities --- Quantities, Imaginary --- Algebra, Universal --- Quaternions --- Vector analysis --- Complex variables --- Elliptic functions --- Functions of real variables --- Functions of a complex variable --- Topology --- Functions of complex variables. --- Numbers, Complex. --- 515.1 Topology --- 517.53 Functions of a complex variable
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512 --- Algebra --- 512 Algebra --- Algebra, Universal --- Algebra, Multiple --- Multiple algebra --- N-way algebra --- Universal algebra --- Algebra, Abstract --- Numbers, Complex --- Algèbre universelle. --- Algèbre universelle.
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Number theory --- 511.2 --- Number study --- Numbers, Theory of --- Algebra --- 511.2 Elementary number theory --- Elementary number theory --- Number Theory --- Number theory. --- Théorie des nombres
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