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Groups(Algebraic-) --- Numbers(Transcendental-) --- Subgroups
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No detailed description available for "Transcendental Numbers".
Transcendental numbers. --- Number theory. --- Number study --- Numbers, Theory of --- Algebra --- Numbers, Transcendental --- Irrational numbers
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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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This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations and related topics. The geometric viewpoint on Diophantine equations has been adopted throughout the book. It includes a number of results, some published here for the first time in book form, and some new, as well as classical material presented in an accessible way. Graduate students and experts alike will find the book's broad approach useful for their work, and will discover new techniques and open questions to guide their research. It contains concrete examples and many exercises (ranging from the relatively simple to the much more complex), making it ideal for self-study and enabling readers to quickly grasp the essential concepts.
Diophantine analysis. --- Transcendental numbers. --- Number theory. --- Numbers, Real. --- Real numbers --- Arithmetic --- Numbers, Complex --- Number study --- Numbers, Theory of --- Algebra --- Numbers, Transcendental --- Irrational numbers --- Indeterminate analysis --- Number theory --- Forms, Quadratic
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Algebraic geometry --- Number theory --- 51 <082.1> --- Mathematics--Series --- Hypergeometric series. --- Functions, Zeta. --- Transcendental numbers. --- Séries hypergéométriques. --- Fonctions zêta. --- Nombres transcendants. --- Functions, Zeta --- Hypergeometric series --- Transcendental numbers --- Numbers, Transcendental --- Irrational numbers --- Gaussian hypergeometric series --- Gaussian series --- Gauss's series --- Series --- Hypergeometric functions --- Zeta functions
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This exposition is primarily a survey of the elementary yet subtle innovations of several mathematicians between 1929 and 1934 that led to partial and then complete solutions to Hilbert’s Seventh Problem (from the International Congress of Mathematicians in Paris, 1900). This volume is suitable for both mathematics students, wishing to experience how different mathematical ideas can come together to establish results, and for research mathematicians interested in the fascinating progression of mathematical ideas that solved Hilbert’s problem and established a modern theory of transcendental numbers. .
Mathematics. --- Functional analysis. --- Integral equations. --- History. --- Number theory. --- History of Mathematical Sciences. --- Functional Analysis. --- Integral Equations. --- Number Theory. --- Transcendental numbers. --- Numbers, Transcendental --- Irrational numbers --- Number study --- Numbers, Theory of --- Algebra --- Equations, Integral --- Functional equations --- Functional analysis --- Functional calculus --- Calculus of variations --- Integral equations --- Annals --- Auxiliary sciences of history --- Math --- Science
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Number theory --- Algebraic number theory --- Elliptic functions --- Functions, Abelian --- Functions, Meromorphic --- Transcendental numbers --- Théorie des nombres algébriques --- Fonctions elliptiques --- Congresses --- Congrès --- 511.3 --- -Elliptic functions --- -Functions, Abelian --- -Functions, Meromorphic --- -Transcendental numbers --- -Numbers, Transcendental --- Irrational numbers --- Meromorphic functions --- Abelian functions --- Abelian integrals --- Hyper-elliptic integrals --- Hyperelliptic functions --- Hyperelliptic integrals --- Integrals, Abelian --- Functions of complex variables --- Elliptic integrals --- Functions, Elliptic --- Integrals, Elliptic --- Transcendental functions --- Integrals, Hyperelliptic --- Analytical, additive and other number-theory problems. Diophantine approximations --- Congresses. --- -Analytical, additive and other number-theory problems. Diophantine approximations --- 511.3 Analytical, additive and other number-theory problems. Diophantine approximations --- -511.3 Analytical, additive and other number-theory problems. Diophantine approximations --- Numbers, Transcendental --- Théorie des nombres algébriques --- Congrès
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