Elements of Mathematics (eBook)

From Euclid to Gödel

John Stillwell (Autor)

eBook Download: PDF

2016 | 1. Auflage
440 Seiten
Princeton University Press (Verlag)
978-1-4008-8056-0 (ISBN)

Infos

John Stillwell is professor of mathematics at the University of San Francisco. He is the author of Reverse Mathematics: Proofs from the Inside Out (Princeton).

Produkt-Details

• Erscheint lt. Verlag: 31.5.2016
• Zusatzinfo: 127 b/w illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Geisteswissenschaften ► Geschichte
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
• Themenwelt: Naturwissenschaften
• Schlagworte: abstract algebra • Addition • Algebra • algebraic equation • algebraic number • algorithm • Arbitrarily large • arithmetic • Axiom • Binomial coefficient • Bolzano–Weierstrass theorem • Calculation • Cantor's Diagonal Argument • Church–Turing thesis • Closure (mathematics) • coefficient • combination • combinatorics • commutative property • complex number • Computable number • Computation • Constructible number • continuous function • Continuous function (set theory) • Continuum Hypothesis • Dedekind cut • Dirichlet's approximation theorem • Divisibility rule • Elementary function • Elementary mathematics • Equation • Euclidean division • Euclidean Geometry • exponentiation • Extended euclidean algorithm • Factorization • Fibonacci Number • Floor and ceiling functions • fundamental theorem • Fundamental Theorem of Algebra • Gaussian Integer • Geometric series • Geometry • Gödel's Incompleteness Theorems • Halting Problem • Infimum and supremum • Integer • Integer Factorization • Least-upper-bound property • linear algebra • Line segment • Logic • Mathematical Induction • mathematician • Mathematics • Method of exhaustion • modular arithmetic • Natural number • Non-Euclidean geometry • Number Theory • Pascal's triangle • Peano axioms • pigeonhole principle • polynomial • Predicate logic • prime factor • Prime number • Probability • Probability Theory • Projective line • Pure Mathematics • Pythagorean Theorem • Ramsey's theorem • Ramsey theory • Rational number • real number • Real projective line • rectangle • reverse mathematics • Robinson Arithmetic • scientific notation • Series (mathematics) • set theory • Significant figures • Sign (mathematics) • Special case • Sperner's Lemma • Subset • Successor function • Summation • Symbolic Computation • Theorem • time complexity • Turing Machine • Variable (mathematics) • Vector Space • Word problem for groups • Word problem (mathematics) • Zermelo–Fraenkel set theory
• ISBN-10: 1-4008-8056-4 / 1400880564
• ISBN-13: 978-1-4008-8056-0 / 9781400880560