The Princeton companion to mathematics:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Princeton
Princeton University Press
©2008
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index This text features nearly 200 entries which introduce basic mathematical tools and vocabulary, trace the development of modern mathematics, define essential terms and concepts and put them in context, explain core ideas in major areas of mathematics, and much more pt. 1 - Introduction - What is mathematics about? - The language and grammar of mathematics - Some fundamental mathematical definitions - The general goals of mathematical research -- - pt. 2 - The origins of modern mathematics - From numbers to number systems - Geometry - The development of abstract algebra - Algorithms - The development of rigor in mathematical analysis - The development of the idea of proof - The crisis in the foundations of mathematics -- - pt. 3 - Mathematical concepts - The axiom of choice - The axiom of determinacy - Bayesian analysis - Braid groups - Buildings - Calabi-Yau manifolds - Cardinals - Categories - Compactness and compactification - Computational complexity classes - Countable and uncountable sets - C*-algebras - Curvature - Designs - Determinants - Differential forms and integration - Dimension - Distributions - Duality - Dynamical systems and chaos - Elliptic curves - The Euclidean algorithm and continued fractions - The Euler and Navier-Stokes equations - Expanders - The exponential and logarithmic functions - The fast Fourier transform - The Fourier transform - Fuchsian groups - Function spaces - Galois groups - The gamma function - Generating functions - Genus - Graphs - Hamiltonians - The heat equation - Hilbert spaces - Homology and cohomology - Homotopy Groups - The ideal class group - Irrational and transcendental numbers - The Ising model - Jordan normal form - Knot polynomials - K-theory ; The leech lattice - L-function - Lie theory - Linear and nonlinear waves and solitons - Linear operators and their properties - Local and global in number theory - The Mandelbrot set - Manifolds - Matroids - Measures - Metric spaces - Models of set theory - Modular arithmetic - Modular forms - Moduli spaces - The monster group - Normed spaces and banach spaces - Number fields - Optimization and Lagrange multipliers - Orbifolds - Ordinals The Peano axioms - Permutation groups - Phase transitions - [pi] - Probability distributions - Projective space - Quadratic forms - Quantum computation - Quantum groups - Quaternions, octonions, and normed division algebras - Representations - Ricci flow - Riemann surfaces - The Riemann zeta function - Rings, ideals, and modules - Schemes - The Schrödinger equation - The simplex algorithm - Special functions - The spectrum - Spherical harmonics - Symplectic manifolds - Tensor products - Topological spaces - Transforms - Trigonometric functions - Universal covers - Variational methods - Varieties - Vector bundles - Von Neumann algebras - Wavelets - The Zermelo-Fraenkel axioms - Metric spaces - Models of set theory - Modular arithmetic - Modular forms - Moduli spaces - The monster group - Normed spaces and banach spaces - Number fields - Optimization and Lagrange multipliers - Orbifolds - Ordinals - The Peano axioms - Permutation groups - Phase transitions - [pi] - Probability distributions - Projective space - Quadratic forms - Quantum computation - Quantum groups - Quaternions, octonions, and normed division algebras - Representations - Ricci flow - Riemann surfaces - The Riemann zeta function - Rings, ideals, and modules - Schemes - The Schrödinger equation - The simplex algorithm - Special functions - The spectrum - Spherical harmonics - Symplectic manifolds - Tensor products - Topological spaces - Transforms - Trigonometric functions - Universal covers - Variational methods - Varieties - Vector bundles - Von Neumann algebras - Wavelets - The Zermelo-Fraenkel axioms pt. 4 - Branches of mathematics - Algebraic numbers - Analytic number theory - Computational number theory - Algebraic geometry - Arithmetic geometry - Algebraic topology - Differential topology - Moduli spaces - Representation theory - Geometric and combinatorial group theory - Harmonic analysis - Partial differential equations - General relativity and the Einstein equations - Dynamics - Operator algebras ; Mirror symmetry - Vertex operator algebras - Enumerative and algebraic combinatorics - Extremal and probabilistic combinatorics - Computational complexity - Numerical analysis - Set theory - Logic and model theory - Stochastic processes - Probabilistic models of critical phenomena - High-dimensional geometry and its probabilistic analogues -- - pt. 5 - Theorems and problems - The ABC conjecture - The Atiyah-Singer index theorem - The Banach-Tarski paradox - The Birch-Swinnerton-Dyer conjecture - Carleson's theorem - The central limit theorem - The classification of finite simple groups - Dirichlet's theorem - Ergodic theorems - Fermat's last theorem - Fixed point theorems - The four-color theorem - The fundamental theorem of algebra - The fundamental theorem of arithmetic - Gödel's theorem - Gromov's polynomial-growth theorem - Hilbert's nullstellensatz - The independence of the continuum hypothesis - Inequalities - The insolubility of the halting problem - The insolubility of the quintic - Liouville's theorem and Roth's theorem - Mostow's strong rigidity theorem - The p versus NP problem - The Poincaré conjecture - The prime number theorem and the Riemann hypothesis - Problems and results in additive number theory - From quadratic reciprocity to class field theory - Rational points on curves and the Mordell conjecture - The resolution of singularities - The Riemann-Roch theorem - The Robertson-Seymour theorem - The three-body problem - The uniformization theorem - The Weil conjecture pt. 6 - Mathematicians - Pythagoras - Euclid - Archimedes - Apollonius - Abu Jaʼfar Muhammad ibn Mūsā al-Khwārizmī - Leonardo of Pisa (known as Fibonacci) - Girolamo Cardano - Rafael Bombelli - François Viète - Simon Stevin - René Descartes - Pierre Fermat - Blaise Pascal - Isaac Newton - Gottfried Wilhelm Leibniz - Brook Taylor - Christian Goldbach - The Bernoullis - Leonhard Euler - Jean Le Rond d'Alembert - Edward Waring - Joseph Louis Lagrange - Pierre-Simon Laplace - Adrien-Marie Legendre - Jean-Baptiste Joseph Fourier - Carl Friedrich Gauss - Siméon-Denis Poisson - Bernard Bolzano - Augustin-Louis Cauchy - August Ferdinand Möbius - Nicolai Ivanovich Lobachevskii - George Green - Niels Henrik Abel - János Bolyai - Carl Gustav Jacob Jacobi - Peter Gustav Lejeune Dirichlet - William Rowan Hamilton - Augustus De Morgan - Joseph Liouville - Eduard Kumme - Évariste Galois - James Joseph Sylvester - George Boole - Karl Weierstrass - Pafnuty Chebyshev - Arthur Cayley - Charles Hermite - Leopold Kronecker - Georg Friedrich Bernhard Riemann - Julius Wilhelm Richard Dedekind - Émile Léonard Mathieu - Camille Jordan - Sophus Lie - Georg Cantor - William Kingdon Clifford - Gottlob Frege - Christian Felix Klein - Ferdinand Georg Frobenius - Sofya (Sonya) Kovalevskaya - William Burnside - Jules Henri Poincaré - Giuseppe Peano - David Hilbert - Hermann Minkowski - Jacques Hadamard - Ivar Fredholm - Charles-Jean de la Vallée Poussin - Felix Hausdorff - Élie Joseph Cartan - Emile Borel - Bertrand Arthur William Russell - Henri Lebesgue - Godfrey Harold Hardy - Frigyes (Frédéric) Riesz Luitzen Egbertus Jan Brouwer - Emmy Noether - Wacław Sierpiński - George Birkhoff - John Edensor Littlewood - Hermann Weyl - Thoralf Skolem - Srinivasa Ramanujan - Richard Courant - Stefan Banach - Norbert Wiener - Emil Artin - Alfred Tarski - Andrei Nikolaevich Kolmogorov - Alonzo Church - William Vallance Douglas Hodge - John von Neumann - Kurt Gödel - André Weil - Alan Turing - Abraham Robinson - Nicolas Bourbaki -- - pt. 7 - The influence of mathematics - Mathematics and chemistry - Mathematical biology - Wavelets and applications - The mathematics of traffic in networks - The mathematics of algorithm design - Reliable transmission of information - Mathematics and cryptography - Mathematics and economic reasoning - The mathematics of money - Mathematical statistics - Mathematics and medical statistics - Analysis, mathematical and philosophical - Mathematics and music - Mathematics and art -- - pt. 8 - Final perspectives - The art of problem solving - "Why mathematics?" you might ask - The ubiquity of mathematics - Numeracy - Mathematics : an experimental science - Advice to a young mathematician - A chronology of mathematical |
| Beschreibung: | 1 Online-Ressource (xx, 1034 pages) |
| ISBN: | 1282767194 1400830397 9781282767195 9781400830398 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043088826 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 151126s2008 |||| o||u| ||||||eng d | ||
| 020 | |a 1282767194 |9 1-282-76719-4 | ||
| 020 | |a 1400830397 |c electronic bk. |9 1-4008-3039-7 | ||
| 020 | |a 9781282767195 |9 978-1-282-76719-5 | ||
| 020 | |a 9781400830398 |c electronic bk. |9 978-1-4008-3039-8 | ||
| 035 | |a (OCoLC)659590835 | ||
| 035 | |a (DE-599)BVBBV043088826 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 |a DE-1047 | ||
| 082 | 0 | |a 510 |2 22 | |
| 084 | |a CC 2400 |0 (DE-625)17608: |2 rvk | ||
| 084 | |a QH 100 |0 (DE-625)141530: |2 rvk | ||
| 084 | |a SK 110 |0 (DE-625)143215: |2 rvk | ||
| 245 | 1 | 0 | |a The Princeton companion to mathematics |c editor, Timothy Gowers ; associate editors, June Barrow-Green, Imre Leader |
| 264 | 1 | |a Princeton |b Princeton University Press |c ©2008 | |
| 300 | |a 1 Online-Ressource (xx, 1034 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 500 | |a This text features nearly 200 entries which introduce basic mathematical tools and vocabulary, trace the development of modern mathematics, define essential terms and concepts and put them in context, explain core ideas in major areas of mathematics, and much more | ||
| 500 | |a pt. 1 - Introduction - What is mathematics about? - The language and grammar of mathematics - Some fundamental mathematical definitions - The general goals of mathematical research -- - pt. 2 - The origins of modern mathematics - From numbers to number systems - Geometry - The development of abstract algebra - Algorithms - The development of rigor in mathematical analysis - The development of the idea of proof - The crisis in the foundations of mathematics -- - pt. 3 - Mathematical concepts - The axiom of choice - The axiom of determinacy - Bayesian analysis - Braid groups - Buildings - Calabi-Yau manifolds - Cardinals - Categories - Compactness and compactification - Computational complexity classes - Countable and uncountable sets - C*-algebras - Curvature - Designs - Determinants - Differential forms and integration - Dimension - Distributions - Duality - Dynamical systems and chaos - Elliptic curves | ||
| 500 | |a - The Euclidean algorithm and continued fractions - The Euler and Navier-Stokes equations - Expanders - The exponential and logarithmic functions - The fast Fourier transform - The Fourier transform - Fuchsian groups - Function spaces - Galois groups - The gamma function - Generating functions - Genus - Graphs - Hamiltonians - The heat equation - Hilbert spaces - Homology and cohomology - Homotopy Groups - The ideal class group - Irrational and transcendental numbers - The Ising model - Jordan normal form - Knot polynomials - K-theory ; The leech lattice - L-function - Lie theory - Linear and nonlinear waves and solitons - Linear operators and their properties - Local and global in number theory - The Mandelbrot set - Manifolds - Matroids - Measures - Metric spaces - Models of set theory - Modular arithmetic - Modular forms - Moduli spaces - The monster group - Normed spaces and banach spaces | ||
| 500 | |a - Number fields - Optimization and Lagrange multipliers - Orbifolds - Ordinals | ||
| 500 | |a The Peano axioms - Permutation groups - Phase transitions - [pi] - Probability distributions - Projective space - Quadratic forms - Quantum computation - Quantum groups - Quaternions, octonions, and normed division algebras - Representations - Ricci flow - Riemann surfaces - The Riemann zeta function - Rings, ideals, and modules - Schemes - The Schrödinger equation - The simplex algorithm - Special functions - The spectrum - Spherical harmonics - Symplectic manifolds - Tensor products - Topological spaces - Transforms - Trigonometric functions - Universal covers - Variational methods - Varieties - Vector bundles - Von Neumann algebras - Wavelets - The Zermelo-Fraenkel axioms - Metric spaces - Models of set theory - Modular arithmetic - Modular forms - Moduli spaces - The monster group - Normed spaces and banach spaces - Number fields - Optimization and Lagrange multipliers - Orbifolds - Ordinals - The Peano axioms - Permutation groups - Phase transitions - [pi] - Probability distributions - Projective space - Quadratic forms - Quantum computation - Quantum groups - Quaternions, octonions, and normed division algebras - Representations - Ricci flow - Riemann surfaces - The Riemann zeta function - Rings, ideals, and modules - Schemes - The Schrödinger equation - The simplex algorithm - Special functions - The spectrum - Spherical harmonics - Symplectic manifolds - Tensor products - Topological spaces - Transforms - Trigonometric functions - Universal covers - Variational methods - Varieties - Vector bundles - Von Neumann algebras - Wavelets - The Zermelo-Fraenkel axioms | ||
| 500 | |a pt. 4 - Branches of mathematics - Algebraic numbers - Analytic number theory - Computational number theory - Algebraic geometry - Arithmetic geometry - Algebraic topology - Differential topology - Moduli spaces - Representation theory - Geometric and combinatorial group theory - Harmonic analysis - Partial differential equations - General relativity and the Einstein equations - Dynamics - Operator algebras ; Mirror symmetry - Vertex operator algebras - Enumerative and algebraic combinatorics - Extremal and probabilistic combinatorics - Computational complexity - Numerical analysis - Set theory - Logic and model theory - Stochastic processes - Probabilistic models of critical phenomena - High-dimensional geometry and its probabilistic analogues -- - pt. 5 - Theorems and problems - The ABC conjecture - The Atiyah-Singer index theorem - The Banach-Tarski paradox - The Birch-Swinnerton-Dyer conjecture - Carleson's theorem | ||
| 500 | |a - The central limit theorem - The classification of finite simple groups - Dirichlet's theorem - Ergodic theorems - Fermat's last theorem - Fixed point theorems - The four-color theorem - The fundamental theorem of algebra - The fundamental theorem of arithmetic - Gödel's theorem - Gromov's polynomial-growth theorem - Hilbert's nullstellensatz - The independence of the continuum hypothesis - Inequalities - The insolubility of the halting problem - The insolubility of the quintic - Liouville's theorem and Roth's theorem - Mostow's strong rigidity theorem - The p versus NP problem - The Poincaré conjecture - The prime number theorem and the Riemann hypothesis - Problems and results in additive number theory - From quadratic reciprocity to class field theory - Rational points on curves and the Mordell conjecture - The resolution of singularities - The Riemann-Roch theorem - The Robertson-Seymour theorem - The three-body problem | ||
| 500 | |a - The uniformization theorem - The Weil conjecture | ||
| 500 | |a pt. 6 - Mathematicians - Pythagoras - Euclid - Archimedes - Apollonius - Abu Jaʼfar Muhammad ibn Mūsā al-Khwārizmī - Leonardo of Pisa (known as Fibonacci) - Girolamo Cardano - Rafael Bombelli - François Viète - Simon Stevin - René Descartes - Pierre Fermat - Blaise Pascal - Isaac Newton - Gottfried Wilhelm Leibniz - Brook Taylor - Christian Goldbach - The Bernoullis - Leonhard Euler - Jean Le Rond d'Alembert - Edward Waring - Joseph Louis Lagrange - Pierre-Simon Laplace - Adrien-Marie Legendre - Jean-Baptiste Joseph Fourier - Carl Friedrich Gauss - Siméon-Denis Poisson - Bernard Bolzano - Augustin-Louis Cauchy - August Ferdinand Möbius - Nicolai Ivanovich Lobachevskii - George Green - Niels Henrik Abel - János Bolyai - Carl Gustav Jacob Jacobi - Peter Gustav Lejeune Dirichlet - William Rowan Hamilton - Augustus De Morgan - Joseph Liouville - Eduard Kumme - Évariste Galois - James Joseph Sylvester - George Boole - Karl Weierstrass - Pafnuty Chebyshev - Arthur Cayley - Charles Hermite - Leopold Kronecker - Georg Friedrich Bernhard Riemann - Julius Wilhelm Richard Dedekind - Émile Léonard Mathieu - Camille Jordan - Sophus Lie - Georg Cantor - William Kingdon Clifford - Gottlob Frege - Christian Felix Klein - Ferdinand Georg Frobenius - Sofya (Sonya) Kovalevskaya - William Burnside - Jules Henri Poincaré - Giuseppe Peano - David Hilbert - Hermann Minkowski - Jacques Hadamard - Ivar Fredholm - Charles-Jean de la Vallée Poussin - Felix Hausdorff - Élie Joseph Cartan - Emile Borel - Bertrand Arthur William Russell - Henri Lebesgue - Godfrey Harold Hardy - Frigyes (Frédéric) Riesz | ||
| 500 | |a Luitzen Egbertus Jan Brouwer - Emmy Noether - Wacław Sierpiński - George Birkhoff - John Edensor Littlewood - Hermann Weyl - Thoralf Skolem - Srinivasa Ramanujan - Richard Courant - Stefan Banach - Norbert Wiener - Emil Artin - Alfred Tarski - Andrei Nikolaevich Kolmogorov - Alonzo Church - William Vallance Douglas Hodge - John von Neumann - Kurt Gödel - André Weil - Alan Turing - Abraham Robinson - Nicolas Bourbaki -- - pt. 7 - The influence of mathematics - Mathematics and chemistry - Mathematical biology - Wavelets and applications - The mathematics of traffic in networks - The mathematics of algorithm design - Reliable transmission of information - Mathematics and cryptography - Mathematics and economic reasoning - The mathematics of money - Mathematical statistics - Mathematics and medical statistics - Analysis, mathematical and philosophical - Mathematics and music - Mathematics and art -- - pt. 8 - Final perspectives - The art of problem solving - "Why mathematics?" you might ask - The ubiquity of mathematics - Numeracy - Mathematics : an experimental science - Advice to a young mathematician - A chronology of mathematical | ||
| 650 | 4 | |a Mathematics | |
| 650 | 7 | |a MATHEMATICS / Pre-Calculus |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Reference |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Essays |2 bisacsh | |
| 650 | 7 | |a Mathematics |2 fast | |
| 650 | 7 | |a Mathematik |2 swd | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematiker |0 (DE-588)4037945-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Mathematiker |0 (DE-588)4037945-0 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Gowers, Timothy |e Sonstige |4 oth | |
| 700 | 1 | |a Barrow-Green, June |e Sonstige |4 oth | |
| 700 | 1 | |a Leader, Imre |e Sonstige |4 oth | |
| 710 | 2 | |a Princeton University |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 0-691-11880-9 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-691-11880-2 |
| 856 | 4 | 0 | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=331285 |x Aggregator |3 Volltext |
| 912 | |a ZDB-4-EBA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028513017 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=331285 |l FAW01 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=331285 |l FAW02 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804175487835045888 |
|---|---|
| any_adam_object | |
| building | Verbundindex |
| bvnumber | BV043088826 |
| classification_rvk | CC 2400 QH 100 SK 110 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)659590835 (DE-599)BVBBV043088826 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie Wirtschaftswissenschaften |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>11337nmm a2200769zc 4500</leader><controlfield tag="001">BV043088826</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">151126s2008 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1282767194</subfield><subfield code="9">1-282-76719-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1400830397</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">1-4008-3039-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781282767195</subfield><subfield code="9">978-1-282-76719-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400830398</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-1-4008-3039-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)659590835</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043088826</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield><subfield code="a">DE-1047</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">CC 2400</subfield><subfield code="0">(DE-625)17608:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QH 100</subfield><subfield code="0">(DE-625)141530:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 110</subfield><subfield code="0">(DE-625)143215:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Princeton companion to mathematics</subfield><subfield code="c">editor, Timothy Gowers ; associate editors, June Barrow-Green, Imre Leader</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">©2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xx, 1034 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This text features nearly 200 entries which introduce basic mathematical tools and vocabulary, trace the development of modern mathematics, define essential terms and concepts and put them in context, explain core ideas in major areas of mathematics, and much more</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">pt. 1 - Introduction - What is mathematics about? - The language and grammar of mathematics - Some fundamental mathematical definitions - The general goals of mathematical research -- - pt. 2 - The origins of modern mathematics - From numbers to number systems - Geometry - The development of abstract algebra - Algorithms - The development of rigor in mathematical analysis - The development of the idea of proof - The crisis in the foundations of mathematics -- - pt. 3 - Mathematical concepts - The axiom of choice - The axiom of determinacy - Bayesian analysis - Braid groups - Buildings - Calabi-Yau manifolds - Cardinals - Categories - Compactness and compactification - Computational complexity classes - Countable and uncountable sets - C*-algebras - Curvature - Designs - Determinants - Differential forms and integration - Dimension - Distributions - Duality - Dynamical systems and chaos - Elliptic curves</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - The Euclidean algorithm and continued fractions - The Euler and Navier-Stokes equations - Expanders - The exponential and logarithmic functions - The fast Fourier transform - The Fourier transform - Fuchsian groups - Function spaces - Galois groups - The gamma function - Generating functions - Genus - Graphs - Hamiltonians - The heat equation - Hilbert spaces - Homology and cohomology - Homotopy Groups - The ideal class group - Irrational and transcendental numbers - The Ising model - Jordan normal form - Knot polynomials - K-theory ; The leech lattice - L-function - Lie theory - Linear and nonlinear waves and solitons - Linear operators and their properties - Local and global in number theory - The Mandelbrot set - Manifolds - Matroids - Measures - Metric spaces - Models of set theory - Modular arithmetic - Modular forms - Moduli spaces - The monster group - Normed spaces and banach spaces</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - Number fields - Optimization and Lagrange multipliers - Orbifolds - Ordinals</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">The Peano axioms - Permutation groups - Phase transitions - [pi] - Probability distributions - Projective space - Quadratic forms - Quantum computation - Quantum groups - Quaternions, octonions, and normed division algebras - Representations - Ricci flow - Riemann surfaces - The Riemann zeta function - Rings, ideals, and modules - Schemes - The Schrödinger equation - The simplex algorithm - Special functions - The spectrum - Spherical harmonics - Symplectic manifolds - Tensor products - Topological spaces - Transforms - Trigonometric functions - Universal covers - Variational methods - Varieties - Vector bundles - Von Neumann algebras - Wavelets - The Zermelo-Fraenkel axioms - Metric spaces - Models of set theory - Modular arithmetic - Modular forms - Moduli spaces - The monster group - Normed spaces and banach spaces - Number fields - Optimization and Lagrange multipliers - Orbifolds - Ordinals - The Peano axioms - Permutation groups - Phase transitions - [pi] - Probability distributions - Projective space - Quadratic forms - Quantum computation - Quantum groups - Quaternions, octonions, and normed division algebras - Representations - Ricci flow - Riemann surfaces - The Riemann zeta function - Rings, ideals, and modules - Schemes - The Schrödinger equation - The simplex algorithm - Special functions - The spectrum - Spherical harmonics - Symplectic manifolds - Tensor products - Topological spaces - Transforms - Trigonometric functions - Universal covers - Variational methods - Varieties - Vector bundles - Von Neumann algebras - Wavelets - The Zermelo-Fraenkel axioms</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">pt. 4 - Branches of mathematics - Algebraic numbers - Analytic number theory - Computational number theory - Algebraic geometry - Arithmetic geometry - Algebraic topology - Differential topology - Moduli spaces - Representation theory - Geometric and combinatorial group theory - Harmonic analysis - Partial differential equations - General relativity and the Einstein equations - Dynamics - Operator algebras ; Mirror symmetry - Vertex operator algebras - Enumerative and algebraic combinatorics - Extremal and probabilistic combinatorics - Computational complexity - Numerical analysis - Set theory - Logic and model theory - Stochastic processes - Probabilistic models of critical phenomena - High-dimensional geometry and its probabilistic analogues -- - pt. 5 - Theorems and problems - The ABC conjecture - The Atiyah-Singer index theorem - The Banach-Tarski paradox - The Birch-Swinnerton-Dyer conjecture - Carleson's theorem</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - The central limit theorem - The classification of finite simple groups - Dirichlet's theorem - Ergodic theorems - Fermat's last theorem - Fixed point theorems - The four-color theorem - The fundamental theorem of algebra - The fundamental theorem of arithmetic - Gödel's theorem - Gromov's polynomial-growth theorem - Hilbert's nullstellensatz - The independence of the continuum hypothesis - Inequalities - The insolubility of the halting problem - The insolubility of the quintic - Liouville's theorem and Roth's theorem - Mostow's strong rigidity theorem - The p versus NP problem - The Poincaré conjecture - The prime number theorem and the Riemann hypothesis - Problems and results in additive number theory - From quadratic reciprocity to class field theory - Rational points on curves and the Mordell conjecture - The resolution of singularities - The Riemann-Roch theorem - The Robertson-Seymour theorem - The three-body problem</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - The uniformization theorem - The Weil conjecture</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">pt. 6 - Mathematicians - Pythagoras - Euclid - Archimedes - Apollonius - Abu Jaʼfar Muhammad ibn Mūsā al-Khwārizmī - Leonardo of Pisa (known as Fibonacci) - Girolamo Cardano - Rafael Bombelli - François Viète - Simon Stevin - René Descartes - Pierre Fermat - Blaise Pascal - Isaac Newton - Gottfried Wilhelm Leibniz - Brook Taylor - Christian Goldbach - The Bernoullis - Leonhard Euler - Jean Le Rond d'Alembert - Edward Waring - Joseph Louis Lagrange - Pierre-Simon Laplace - Adrien-Marie Legendre - Jean-Baptiste Joseph Fourier - Carl Friedrich Gauss - Siméon-Denis Poisson - Bernard Bolzano - Augustin-Louis Cauchy - August Ferdinand Möbius - Nicolai Ivanovich Lobachevskii - George Green - Niels Henrik Abel - János Bolyai - Carl Gustav Jacob Jacobi - Peter Gustav Lejeune Dirichlet - William Rowan Hamilton - Augustus De Morgan - Joseph Liouville - Eduard Kumme - Évariste Galois - James Joseph Sylvester - George Boole - Karl Weierstrass - Pafnuty Chebyshev - Arthur Cayley - Charles Hermite - Leopold Kronecker - Georg Friedrich Bernhard Riemann - Julius Wilhelm Richard Dedekind - Émile Léonard Mathieu - Camille Jordan - Sophus Lie - Georg Cantor - William Kingdon Clifford - Gottlob Frege - Christian Felix Klein - Ferdinand Georg Frobenius - Sofya (Sonya) Kovalevskaya - William Burnside - Jules Henri Poincaré - Giuseppe Peano - David Hilbert - Hermann Minkowski - Jacques Hadamard - Ivar Fredholm - Charles-Jean de la Vallée Poussin - Felix Hausdorff - Élie Joseph Cartan - Emile Borel - Bertrand Arthur William Russell - Henri Lebesgue - Godfrey Harold Hardy - Frigyes (Frédéric) Riesz</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Luitzen Egbertus Jan Brouwer - Emmy Noether - Wacław Sierpiński - George Birkhoff - John Edensor Littlewood - Hermann Weyl - Thoralf Skolem - Srinivasa Ramanujan - Richard Courant - Stefan Banach - Norbert Wiener - Emil Artin - Alfred Tarski - Andrei Nikolaevich Kolmogorov - Alonzo Church - William Vallance Douglas Hodge - John von Neumann - Kurt Gödel - André Weil - Alan Turing - Abraham Robinson - Nicolas Bourbaki -- - pt. 7 - The influence of mathematics - Mathematics and chemistry - Mathematical biology - Wavelets and applications - The mathematics of traffic in networks - The mathematics of algorithm design - Reliable transmission of information - Mathematics and cryptography - Mathematics and economic reasoning - The mathematics of money - Mathematical statistics - Mathematics and medical statistics - Analysis, mathematical and philosophical - Mathematics and music - Mathematics and art -- - pt. 8 - Final perspectives - The art of problem solving - "Why mathematics?" you might ask - The ubiquity of mathematics - Numeracy - Mathematics : an experimental science - Advice to a young mathematician - A chronology of mathematical</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Pre-Calculus</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Reference</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Essays</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematik</subfield><subfield code="2">swd</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematiker</subfield><subfield code="0">(DE-588)4037945-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Mathematiker</subfield><subfield code="0">(DE-588)4037945-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gowers, Timothy</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Barrow-Green, June</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Leader, Imre</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Princeton University</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">0-691-11880-9</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-691-11880-2</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=331285</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028513017</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=331285</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=331285</subfield><subfield code="l">FAW02</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043088826 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:04Z |
| institution | BVB |
| isbn | 1282767194 1400830397 9781282767195 9781400830398 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028513017 |
| oclc_num | 659590835 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xx, 1034 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Princeton University Press |
| record_format | marc |
| spelling | The Princeton companion to mathematics editor, Timothy Gowers ; associate editors, June Barrow-Green, Imre Leader Princeton Princeton University Press ©2008 1 Online-Ressource (xx, 1034 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index This text features nearly 200 entries which introduce basic mathematical tools and vocabulary, trace the development of modern mathematics, define essential terms and concepts and put them in context, explain core ideas in major areas of mathematics, and much more pt. 1 - Introduction - What is mathematics about? - The language and grammar of mathematics - Some fundamental mathematical definitions - The general goals of mathematical research -- - pt. 2 - The origins of modern mathematics - From numbers to number systems - Geometry - The development of abstract algebra - Algorithms - The development of rigor in mathematical analysis - The development of the idea of proof - The crisis in the foundations of mathematics -- - pt. 3 - Mathematical concepts - The axiom of choice - The axiom of determinacy - Bayesian analysis - Braid groups - Buildings - Calabi-Yau manifolds - Cardinals - Categories - Compactness and compactification - Computational complexity classes - Countable and uncountable sets - C*-algebras - Curvature - Designs - Determinants - Differential forms and integration - Dimension - Distributions - Duality - Dynamical systems and chaos - Elliptic curves - The Euclidean algorithm and continued fractions - The Euler and Navier-Stokes equations - Expanders - The exponential and logarithmic functions - The fast Fourier transform - The Fourier transform - Fuchsian groups - Function spaces - Galois groups - The gamma function - Generating functions - Genus - Graphs - Hamiltonians - The heat equation - Hilbert spaces - Homology and cohomology - Homotopy Groups - The ideal class group - Irrational and transcendental numbers - The Ising model - Jordan normal form - Knot polynomials - K-theory ; The leech lattice - L-function - Lie theory - Linear and nonlinear waves and solitons - Linear operators and their properties - Local and global in number theory - The Mandelbrot set - Manifolds - Matroids - Measures - Metric spaces - Models of set theory - Modular arithmetic - Modular forms - Moduli spaces - The monster group - Normed spaces and banach spaces - Number fields - Optimization and Lagrange multipliers - Orbifolds - Ordinals The Peano axioms - Permutation groups - Phase transitions - [pi] - Probability distributions - Projective space - Quadratic forms - Quantum computation - Quantum groups - Quaternions, octonions, and normed division algebras - Representations - Ricci flow - Riemann surfaces - The Riemann zeta function - Rings, ideals, and modules - Schemes - The Schrödinger equation - The simplex algorithm - Special functions - The spectrum - Spherical harmonics - Symplectic manifolds - Tensor products - Topological spaces - Transforms - Trigonometric functions - Universal covers - Variational methods - Varieties - Vector bundles - Von Neumann algebras - Wavelets - The Zermelo-Fraenkel axioms - Metric spaces - Models of set theory - Modular arithmetic - Modular forms - Moduli spaces - The monster group - Normed spaces and banach spaces - Number fields - Optimization and Lagrange multipliers - Orbifolds - Ordinals - The Peano axioms - Permutation groups - Phase transitions - [pi] - Probability distributions - Projective space - Quadratic forms - Quantum computation - Quantum groups - Quaternions, octonions, and normed division algebras - Representations - Ricci flow - Riemann surfaces - The Riemann zeta function - Rings, ideals, and modules - Schemes - The Schrödinger equation - The simplex algorithm - Special functions - The spectrum - Spherical harmonics - Symplectic manifolds - Tensor products - Topological spaces - Transforms - Trigonometric functions - Universal covers - Variational methods - Varieties - Vector bundles - Von Neumann algebras - Wavelets - The Zermelo-Fraenkel axioms pt. 4 - Branches of mathematics - Algebraic numbers - Analytic number theory - Computational number theory - Algebraic geometry - Arithmetic geometry - Algebraic topology - Differential topology - Moduli spaces - Representation theory - Geometric and combinatorial group theory - Harmonic analysis - Partial differential equations - General relativity and the Einstein equations - Dynamics - Operator algebras ; Mirror symmetry - Vertex operator algebras - Enumerative and algebraic combinatorics - Extremal and probabilistic combinatorics - Computational complexity - Numerical analysis - Set theory - Logic and model theory - Stochastic processes - Probabilistic models of critical phenomena - High-dimensional geometry and its probabilistic analogues -- - pt. 5 - Theorems and problems - The ABC conjecture - The Atiyah-Singer index theorem - The Banach-Tarski paradox - The Birch-Swinnerton-Dyer conjecture - Carleson's theorem - The central limit theorem - The classification of finite simple groups - Dirichlet's theorem - Ergodic theorems - Fermat's last theorem - Fixed point theorems - The four-color theorem - The fundamental theorem of algebra - The fundamental theorem of arithmetic - Gödel's theorem - Gromov's polynomial-growth theorem - Hilbert's nullstellensatz - The independence of the continuum hypothesis - Inequalities - The insolubility of the halting problem - The insolubility of the quintic - Liouville's theorem and Roth's theorem - Mostow's strong rigidity theorem - The p versus NP problem - The Poincaré conjecture - The prime number theorem and the Riemann hypothesis - Problems and results in additive number theory - From quadratic reciprocity to class field theory - Rational points on curves and the Mordell conjecture - The resolution of singularities - The Riemann-Roch theorem - The Robertson-Seymour theorem - The three-body problem - The uniformization theorem - The Weil conjecture pt. 6 - Mathematicians - Pythagoras - Euclid - Archimedes - Apollonius - Abu Jaʼfar Muhammad ibn Mūsā al-Khwārizmī - Leonardo of Pisa (known as Fibonacci) - Girolamo Cardano - Rafael Bombelli - François Viète - Simon Stevin - René Descartes - Pierre Fermat - Blaise Pascal - Isaac Newton - Gottfried Wilhelm Leibniz - Brook Taylor - Christian Goldbach - The Bernoullis - Leonhard Euler - Jean Le Rond d'Alembert - Edward Waring - Joseph Louis Lagrange - Pierre-Simon Laplace - Adrien-Marie Legendre - Jean-Baptiste Joseph Fourier - Carl Friedrich Gauss - Siméon-Denis Poisson - Bernard Bolzano - Augustin-Louis Cauchy - August Ferdinand Möbius - Nicolai Ivanovich Lobachevskii - George Green - Niels Henrik Abel - János Bolyai - Carl Gustav Jacob Jacobi - Peter Gustav Lejeune Dirichlet - William Rowan Hamilton - Augustus De Morgan - Joseph Liouville - Eduard Kumme - Évariste Galois - James Joseph Sylvester - George Boole - Karl Weierstrass - Pafnuty Chebyshev - Arthur Cayley - Charles Hermite - Leopold Kronecker - Georg Friedrich Bernhard Riemann - Julius Wilhelm Richard Dedekind - Émile Léonard Mathieu - Camille Jordan - Sophus Lie - Georg Cantor - William Kingdon Clifford - Gottlob Frege - Christian Felix Klein - Ferdinand Georg Frobenius - Sofya (Sonya) Kovalevskaya - William Burnside - Jules Henri Poincaré - Giuseppe Peano - David Hilbert - Hermann Minkowski - Jacques Hadamard - Ivar Fredholm - Charles-Jean de la Vallée Poussin - Felix Hausdorff - Élie Joseph Cartan - Emile Borel - Bertrand Arthur William Russell - Henri Lebesgue - Godfrey Harold Hardy - Frigyes (Frédéric) Riesz Luitzen Egbertus Jan Brouwer - Emmy Noether - Wacław Sierpiński - George Birkhoff - John Edensor Littlewood - Hermann Weyl - Thoralf Skolem - Srinivasa Ramanujan - Richard Courant - Stefan Banach - Norbert Wiener - Emil Artin - Alfred Tarski - Andrei Nikolaevich Kolmogorov - Alonzo Church - William Vallance Douglas Hodge - John von Neumann - Kurt Gödel - André Weil - Alan Turing - Abraham Robinson - Nicolas Bourbaki -- - pt. 7 - The influence of mathematics - Mathematics and chemistry - Mathematical biology - Wavelets and applications - The mathematics of traffic in networks - The mathematics of algorithm design - Reliable transmission of information - Mathematics and cryptography - Mathematics and economic reasoning - The mathematics of money - Mathematical statistics - Mathematics and medical statistics - Analysis, mathematical and philosophical - Mathematics and music - Mathematics and art -- - pt. 8 - Final perspectives - The art of problem solving - "Why mathematics?" you might ask - The ubiquity of mathematics - Numeracy - Mathematics : an experimental science - Advice to a young mathematician - A chronology of mathematical Mathematics MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Essays bisacsh Mathematics fast Mathematik swd Mathematik Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematiker (DE-588)4037945-0 gnd rswk-swf Mathematik (DE-588)4037944-9 s 1\p DE-604 Mathematiker (DE-588)4037945-0 s 2\p DE-604 Gowers, Timothy Sonstige oth Barrow-Green, June Sonstige oth Leader, Imre Sonstige oth Princeton University Sonstige oth Erscheint auch als Druckausgabe 0-691-11880-9 Erscheint auch als Druckausgabe 978-0-691-11880-2 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=331285 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | The Princeton companion to mathematics Mathematics MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Essays bisacsh Mathematics fast Mathematik swd Mathematik Mathematik (DE-588)4037944-9 gnd Mathematiker (DE-588)4037945-0 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4037945-0 |
| title | The Princeton companion to mathematics |
| title_auth | The Princeton companion to mathematics |
| title_exact_search | The Princeton companion to mathematics |
| title_full | The Princeton companion to mathematics editor, Timothy Gowers ; associate editors, June Barrow-Green, Imre Leader |
| title_fullStr | The Princeton companion to mathematics editor, Timothy Gowers ; associate editors, June Barrow-Green, Imre Leader |
| title_full_unstemmed | The Princeton companion to mathematics editor, Timothy Gowers ; associate editors, June Barrow-Green, Imre Leader |
| title_short | The Princeton companion to mathematics |
| title_sort | the princeton companion to mathematics |
| topic | Mathematics MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Essays bisacsh Mathematics fast Mathematik swd Mathematik Mathematik (DE-588)4037944-9 gnd Mathematiker (DE-588)4037945-0 gnd |
| topic_facet | Mathematics MATHEMATICS / Pre-Calculus MATHEMATICS / Reference MATHEMATICS / Essays Mathematik Mathematiker |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=331285 |
| work_keys_str_mv | AT gowerstimothy theprincetoncompaniontomathematics AT barrowgreenjune theprincetoncompaniontomathematics AT leaderimre theprincetoncompaniontomathematics AT princetonuniversity theprincetoncompaniontomathematics |