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Elliptic Tales
Avner Ash, Robert Gross
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Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Beschreibung
A look at one of the most exciting unsolved problems in mathematics today
Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.
The key to the conjecture lies in elliptic curves, which may appear simple, but arise from some very deep—and often very mystifying—mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and, in the process, venture to the very frontiers of modern mathematics.
Kundenbewertungen
Identity element, Mathematics, Power series, Calculation, Integer, Originality, Parametrization, Modular form, Infinite product, Additive group, Variable (mathematics), Analytic function, Analytic continuation, Algebraic equation, Derivative, Birch and Swinnerton-Dyer conjecture, Dirichlet series, Rational point, Complex number, Real number, Rational number, Complex multiplication, Cubic function, Parabola, Projective line, Coefficient, Euler product, Riemann zeta function, Riemann hypothesis, Projective plane, Monomial, Algebraic closure, Parametric equation, Algebraic curve, Conjecture, Equation, Addition, Functional equation, Mathematician, Complex plane, Series (mathematics), Princeton University Press, Pure mathematics, Computation, Finite field, Logarithm, Factorization, Multiplicative group, The Modern World (novel), Torsion subgroup, Natural number, Prime number, Science, Scientific notation, Taylor series, Exponential function, Theorem, Elliptic curve, Polynomial, Line–line intersection, Summation, Solution set, Abelian group, Algebraic geometry, Point at infinity, Finitely generated abelian group, Simultaneous equations, Tangent, Line at infinity, Number theory