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This book provides a detailed description of a most important unsolved mathematical problem - the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920's. The book gives an exposition of these results and their impact on mathematics, particularly, number theory. It also presents (partly or wholly) selections from important literature, so that readers can get a full picture of the conjecture.
Goldbach conjecture. --- Number theory. --- Numbers, Prime. --- Prime numbers --- Numbers, Natural --- Number study --- Numbers, Theory of --- Algebra --- Conjecture, Goldbach --- Goldbach guess --- Goldbach hypothesis --- Goldbach problem --- Goldbach's conjecture --- Goldbach's guess --- Goldbach's hypothesis --- Goldbach's problem --- Guess, Goldbach --- Hypothesis, Goldbach --- Problem, Goldbach --- Number theory --- Numbers, Prime
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Number theory --- Euler products --- Functions, Zeta --- 517.58 --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Zeta functions --- Products, Euler --- Numbers, Prime
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