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    Reverse Mathematics

    Reverse Mathematics

    - Proofs from the Inside Out

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    Bog E-bog
    • Format
    • Bog, paperback
    • Engelsk

    Beskrivelse

    The first book surveying the history and ideas behind reverse mathematics

    Reverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. In Reverse Mathematics, John Stillwell offers a historical and representative view, emphasizing basic analysis and giving a novel approach to logic. By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.

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    Detaljer
    Størrelse og vægt
    coffee cup img
    10 cm
    book img
    15,6 cm
    23,5 cm

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    Equation Geometry Mathematics Set theory Ramsey theory Reverse mathematics Predicate (Logic) Number theory Maxima and minima Pythagorean theorem Axiom of choice Non-Euclidean geometry Turing degree Séquence Continuous function Entscheidungsproblem Prime number Turing machine Real number Monotonic Function Jordan Curve Theorem Intermediate value theorem Mathematical induction Church-Turing Thesis Decision problem Theorem Algorithm Monotone convergence theorem Associative property Commutative property Riemann Mapping Theorem Classical logic Axiom Cantor's Theorem Computability Computation Heine-Borel theorem Actual Infinity Arbitrarily large Bounded quantifier Binary Tree Cantor's diagonal argument Extreme value theorem Computable function Computable number Constructivism (mathematics) Continuous function (set theory) Dedekind cut Infimum and supremum Elementary proof Invariance of domain Natural Number Kruskal's tree theorem Recursively enumerable set Sign (mathematics) Variable (mathematics) Least-upper-bound property Well-order Rational number Upper and Lower Bounds Quantifier (logic) Subset Significant Figures Special case Successor function Turing jump

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