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Classical Topology and Combinatorial Group Theory [[electronic resource] /] / by John Stillwell
| Classical Topology and Combinatorial Group Theory [[electronic resource] /] / by John Stillwell |
| Autore | Stillwell John |
| Edizione | [2nd ed. 1993.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1993 |
| Descrizione fisica | 1 online resource (XII, 336 p.) |
| Disciplina |
514
514/.2 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico |
Topology
Topological groups Lie groups Topological Groups, Lie Groups |
| ISBN | 1-4612-4372-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 0 Introduction and Foundations -- 0.1 The Fundamental Concepts and Problems of Topology -- 0.2 Simplicial Complexes -- 0.3 The Jordan Curve Theorem -- 0.4 Algorithms -- 0.5 Combinatorial Group Theory -- 1 Complex Analysis and Surface Topology -- 1.1 Riemann Surfaces -- 1.2 Nonorientable Surfaces -- 1.3 The Classification Theorem for Surfaces -- 1.4 Covering Surfaces -- 2 Graphs and Free Groups -- 2.1 Realization of Free Groups by Graphs -- 2.2 Realization of Subgroups -- 3 Foundations for the Fundamental Group -- 3.1 The Fundamental Group -- 3.2 The Fundamental Group of the Circle -- 3.3 Deformation Retracts -- 3.4 The Seifert—Van Kampen Theorem -- 3.5 Direct Products -- 4 Fundamental Groups of Complexes -- 4.1 Poincaré’s Method for Computing Presentations -- 4.2 Examples -- 4.3 Surface Complexes and Subgroup Theorems -- 5 Homology Theory and Abelianization -- 5.1 Homology Theory -- 5.2 The Structure Theorem for Finitely Generated Abelian Groups -- 5.3 Abelianization -- 6 Curves on Surfaces -- 6.1 Dehn’s Algorithm -- 6.2 Simple Curves on Surfaces -- 6.3 Simplification of Simple Curves by Homeomorphisms -- 6.4 The Mapping Class Group of the Torus -- 7 Knots and Braids -- 7.1 Dehn and Schreier’s Analysis of the Torus Knot Groups -- 7.2 Cyclic Coverings -- 7.3 Braids -- 8 Three-Dimensional Manifolds -- 8.1 Open Problems in Three-Dimensional Topology -- 8.2 Polyhedral Schemata -- 8.3 Heegaard Splittings -- 8.4 Surgery -- 8.5 Branched Coverings -- 9 Unsolvable Problems -- 9.1 Computation -- 9.2 HNN Extensions -- 9.3 Unsolvable Problems in Group Theory -- 9.4 The Homeomorphism Problem -- Bibliography and Chronology. |
| Record Nr. | UNINA-9910480842003321 |
Stillwell John
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classical Topology and Combinatorial Group Theory [[electronic resource] /] / by John Stillwell
| Classical Topology and Combinatorial Group Theory [[electronic resource] /] / by John Stillwell |
| Autore | Stillwell John |
| Edizione | [2nd ed. 1993.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1993 |
| Descrizione fisica | 1 online resource (XII, 336 p.) |
| Disciplina |
514
514/.2 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico |
Topology
Topological groups Lie groups Topological Groups, Lie Groups |
| ISBN | 1-4612-4372-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 0 Introduction and Foundations -- 0.1 The Fundamental Concepts and Problems of Topology -- 0.2 Simplicial Complexes -- 0.3 The Jordan Curve Theorem -- 0.4 Algorithms -- 0.5 Combinatorial Group Theory -- 1 Complex Analysis and Surface Topology -- 1.1 Riemann Surfaces -- 1.2 Nonorientable Surfaces -- 1.3 The Classification Theorem for Surfaces -- 1.4 Covering Surfaces -- 2 Graphs and Free Groups -- 2.1 Realization of Free Groups by Graphs -- 2.2 Realization of Subgroups -- 3 Foundations for the Fundamental Group -- 3.1 The Fundamental Group -- 3.2 The Fundamental Group of the Circle -- 3.3 Deformation Retracts -- 3.4 The Seifert—Van Kampen Theorem -- 3.5 Direct Products -- 4 Fundamental Groups of Complexes -- 4.1 Poincaré’s Method for Computing Presentations -- 4.2 Examples -- 4.3 Surface Complexes and Subgroup Theorems -- 5 Homology Theory and Abelianization -- 5.1 Homology Theory -- 5.2 The Structure Theorem for Finitely Generated Abelian Groups -- 5.3 Abelianization -- 6 Curves on Surfaces -- 6.1 Dehn’s Algorithm -- 6.2 Simple Curves on Surfaces -- 6.3 Simplification of Simple Curves by Homeomorphisms -- 6.4 The Mapping Class Group of the Torus -- 7 Knots and Braids -- 7.1 Dehn and Schreier’s Analysis of the Torus Knot Groups -- 7.2 Cyclic Coverings -- 7.3 Braids -- 8 Three-Dimensional Manifolds -- 8.1 Open Problems in Three-Dimensional Topology -- 8.2 Polyhedral Schemata -- 8.3 Heegaard Splittings -- 8.4 Surgery -- 8.5 Branched Coverings -- 9 Unsolvable Problems -- 9.1 Computation -- 9.2 HNN Extensions -- 9.3 Unsolvable Problems in Group Theory -- 9.4 The Homeomorphism Problem -- Bibliography and Chronology. |
| Record Nr. | UNINA-9910789221703321 |
|
Stillwell John
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classical Topology and Combinatorial Group Theory / / by John Stillwell
| Classical Topology and Combinatorial Group Theory / / by John Stillwell |
| Autore | Stillwell John |
| Edizione | [2nd ed. 1993.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1993 |
| Descrizione fisica | 1 online resource (XII, 336 p.) |
| Disciplina |
514
514/.2 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico |
Topology
Topological groups Lie groups Topological Groups, Lie Groups |
| ISBN | 1-4612-4372-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 0 Introduction and Foundations -- 0.1 The Fundamental Concepts and Problems of Topology -- 0.2 Simplicial Complexes -- 0.3 The Jordan Curve Theorem -- 0.4 Algorithms -- 0.5 Combinatorial Group Theory -- 1 Complex Analysis and Surface Topology -- 1.1 Riemann Surfaces -- 1.2 Nonorientable Surfaces -- 1.3 The Classification Theorem for Surfaces -- 1.4 Covering Surfaces -- 2 Graphs and Free Groups -- 2.1 Realization of Free Groups by Graphs -- 2.2 Realization of Subgroups -- 3 Foundations for the Fundamental Group -- 3.1 The Fundamental Group -- 3.2 The Fundamental Group of the Circle -- 3.3 Deformation Retracts -- 3.4 The Seifert—Van Kampen Theorem -- 3.5 Direct Products -- 4 Fundamental Groups of Complexes -- 4.1 Poincaré’s Method for Computing Presentations -- 4.2 Examples -- 4.3 Surface Complexes and Subgroup Theorems -- 5 Homology Theory and Abelianization -- 5.1 Homology Theory -- 5.2 The Structure Theorem for Finitely Generated Abelian Groups -- 5.3 Abelianization -- 6 Curves on Surfaces -- 6.1 Dehn’s Algorithm -- 6.2 Simple Curves on Surfaces -- 6.3 Simplification of Simple Curves by Homeomorphisms -- 6.4 The Mapping Class Group of the Torus -- 7 Knots and Braids -- 7.1 Dehn and Schreier’s Analysis of the Torus Knot Groups -- 7.2 Cyclic Coverings -- 7.3 Braids -- 8 Three-Dimensional Manifolds -- 8.1 Open Problems in Three-Dimensional Topology -- 8.2 Polyhedral Schemata -- 8.3 Heegaard Splittings -- 8.4 Surgery -- 8.5 Branched Coverings -- 9 Unsolvable Problems -- 9.1 Computation -- 9.2 HNN Extensions -- 9.3 Unsolvable Problems in Group Theory -- 9.4 The Homeomorphism Problem -- Bibliography and Chronology. |
| Record Nr. | UNINA-9910828272903321 |
|
Stillwell John
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry of Surfaces [[electronic resource] /] / by John Stillwell
| Geometry of Surfaces [[electronic resource] /] / by John Stillwell |
| Autore | Stillwell John |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XI, 236 p.) |
| Disciplina | 516.3/62 |
| Collana | Universitext |
| Soggetto topico | Geometry |
| ISBN | 1-4612-0929-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. The Euclidean Plane -- 1.1 Approaches to Euclidean Geometry -- 1.2 Isometries -- 1.3 Rotations and Reflections -- 1.4 The Three Reflections Theorem -- 1.5 Orientation-Reversing Isometries -- 1.6 Distinctive Features of Euclidean Geometry -- 1.7 Discussion -- 2. Euclidean Surfaces -- 2.1 Euclid on Manifolds -- 2.2 The Cylinder -- 2.3 The Twisted Cylinder -- 2.4 The Torus and the Klein Bottle -- 2.5 Quotient Surfaces -- 2.6 A Nondiscontinuous Group -- 2.7 Euclidean Surfaces -- 2.8 Covering a Surface by the Plane -- 2.9 The Covering Isometry Group -- 2.10 Discussion -- 3. The Sphere -- 3.1 The Sphere S2 in ?3 -- 3.2 Rotations -- 3.3 Stereographic Projection -- 3.4 Inversion and the Complex Coordinate on the Sphere -- 3.5 Reflections and Rotations as Complex Functions -- 3.6 The Antipodal Map and the Elliptic Plane -- 3.7 Remarks on Groups, Spheres and Projective Spaces -- 3.8 The Area of a Triangle -- 3.9 The Regular Polyhedra -- 3.10 Discussion -- 4. The Hyperbolic Plane -- 4.1 Negative Curvature and the Half-Plane -- 4.2 The Half-Plane Model and the Conformai Disc Model -- 4.3 The Three Reflections Theorem -- 4.4 Isometries as Complex Functions -- 4.5 Geometric Description of Isometries -- 4.6 Classification of Isometries -- 4.7 The Area of a Triangle -- 4.8 The Projective Disc Model -- 4.9 Hyperbolic Space -- 4.10 Discussion -- 5. Hyperbolic Surfaces -- 5.1 Hyperbolic Surfaces and the Killing-Hopf Theorem -- 5.2 The Pseudosphere -- 5.3 The Punctured Sphere -- 5.4 Dense Lines on the Punctured Sphere -- 5.5 General Construction of Hyperbolic Surfaces from Polygons -- 5.6 Geometric Realization of Compact Surfaces -- 5.7 Completeness of Compact Geometric Surfaces -- 5.8 Compact Hyperbolic Surfaces -- 5.9 Discussion -- 6. Paths and Geodesies -- 6.1 Topological Classification of Surfaces -- 6.2 Geometric Classification of Surfaces -- 6.3 Paths and Homotopy -- 6.4 Lifting Paths and Lifting Homotopies -- 6.5 The Fundamental Group -- 6.6 Generators and Relations for the Fundamental Group -- 6.7 Fundamental Group and Genus -- 6.8 Closed Geodesic Paths -- 6.9 Classification of Closed Geodesic Paths -- 6.10 Discussion -- 7. Planar and Spherical Tessellations -- 7.1 Symmetric Tessellations -- 7.2 Conditions for a Polygon to Be a Fundamental Region -- 7.3 The Triangle Tessellations -- 7.4 Poincaré’s Theorem for Compact Polygons -- 7.5 Discussion -- 8. Tessellations of Compact Surfaces -- 8.1 Orbifolds and Desingularizations -- 8.2 Prom Desingularization to Symmetric Tessellation -- 8.3 Desingularizations as (Branched) Coverings -- 8.4 Some Methods of Desingularization -- 8.5 Reduction to a Permutation Problem -- 8.6 Solution of the Permutation Problem -- 8.7 Discussion -- References. |
| Record Nr. | UNINA-9910480073903321 |
|
Stillwell John
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry of Surfaces [[electronic resource] /] / by John Stillwell
| Geometry of Surfaces [[electronic resource] /] / by John Stillwell |
| Autore | Stillwell John |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XI, 236 p.) |
| Disciplina | 516.3/62 |
| Collana | Universitext |
| Soggetto topico | Geometry |
| ISBN | 1-4612-0929-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. The Euclidean Plane -- 1.1 Approaches to Euclidean Geometry -- 1.2 Isometries -- 1.3 Rotations and Reflections -- 1.4 The Three Reflections Theorem -- 1.5 Orientation-Reversing Isometries -- 1.6 Distinctive Features of Euclidean Geometry -- 1.7 Discussion -- 2. Euclidean Surfaces -- 2.1 Euclid on Manifolds -- 2.2 The Cylinder -- 2.3 The Twisted Cylinder -- 2.4 The Torus and the Klein Bottle -- 2.5 Quotient Surfaces -- 2.6 A Nondiscontinuous Group -- 2.7 Euclidean Surfaces -- 2.8 Covering a Surface by the Plane -- 2.9 The Covering Isometry Group -- 2.10 Discussion -- 3. The Sphere -- 3.1 The Sphere S2 in ?3 -- 3.2 Rotations -- 3.3 Stereographic Projection -- 3.4 Inversion and the Complex Coordinate on the Sphere -- 3.5 Reflections and Rotations as Complex Functions -- 3.6 The Antipodal Map and the Elliptic Plane -- 3.7 Remarks on Groups, Spheres and Projective Spaces -- 3.8 The Area of a Triangle -- 3.9 The Regular Polyhedra -- 3.10 Discussion -- 4. The Hyperbolic Plane -- 4.1 Negative Curvature and the Half-Plane -- 4.2 The Half-Plane Model and the Conformai Disc Model -- 4.3 The Three Reflections Theorem -- 4.4 Isometries as Complex Functions -- 4.5 Geometric Description of Isometries -- 4.6 Classification of Isometries -- 4.7 The Area of a Triangle -- 4.8 The Projective Disc Model -- 4.9 Hyperbolic Space -- 4.10 Discussion -- 5. Hyperbolic Surfaces -- 5.1 Hyperbolic Surfaces and the Killing-Hopf Theorem -- 5.2 The Pseudosphere -- 5.3 The Punctured Sphere -- 5.4 Dense Lines on the Punctured Sphere -- 5.5 General Construction of Hyperbolic Surfaces from Polygons -- 5.6 Geometric Realization of Compact Surfaces -- 5.7 Completeness of Compact Geometric Surfaces -- 5.8 Compact Hyperbolic Surfaces -- 5.9 Discussion -- 6. Paths and Geodesies -- 6.1 Topological Classification of Surfaces -- 6.2 Geometric Classification of Surfaces -- 6.3 Paths and Homotopy -- 6.4 Lifting Paths and Lifting Homotopies -- 6.5 The Fundamental Group -- 6.6 Generators and Relations for the Fundamental Group -- 6.7 Fundamental Group and Genus -- 6.8 Closed Geodesic Paths -- 6.9 Classification of Closed Geodesic Paths -- 6.10 Discussion -- 7. Planar and Spherical Tessellations -- 7.1 Symmetric Tessellations -- 7.2 Conditions for a Polygon to Be a Fundamental Region -- 7.3 The Triangle Tessellations -- 7.4 Poincaré’s Theorem for Compact Polygons -- 7.5 Discussion -- 8. Tessellations of Compact Surfaces -- 8.1 Orbifolds and Desingularizations -- 8.2 Prom Desingularization to Symmetric Tessellation -- 8.3 Desingularizations as (Branched) Coverings -- 8.4 Some Methods of Desingularization -- 8.5 Reduction to a Permutation Problem -- 8.6 Solution of the Permutation Problem -- 8.7 Discussion -- References. |
| Record Nr. | UNINA-9910789343903321 |
|
Stillwell John
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry of Surfaces / / by John Stillwell
| Geometry of Surfaces / / by John Stillwell |
| Autore | Stillwell John |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XI, 236 p.) |
| Disciplina | 516.3/62 |
| Collana | Universitext |
| Soggetto topico | Geometry |
| ISBN | 1-4612-0929-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. The Euclidean Plane -- 1.1 Approaches to Euclidean Geometry -- 1.2 Isometries -- 1.3 Rotations and Reflections -- 1.4 The Three Reflections Theorem -- 1.5 Orientation-Reversing Isometries -- 1.6 Distinctive Features of Euclidean Geometry -- 1.7 Discussion -- 2. Euclidean Surfaces -- 2.1 Euclid on Manifolds -- 2.2 The Cylinder -- 2.3 The Twisted Cylinder -- 2.4 The Torus and the Klein Bottle -- 2.5 Quotient Surfaces -- 2.6 A Nondiscontinuous Group -- 2.7 Euclidean Surfaces -- 2.8 Covering a Surface by the Plane -- 2.9 The Covering Isometry Group -- 2.10 Discussion -- 3. The Sphere -- 3.1 The Sphere S2 in ?3 -- 3.2 Rotations -- 3.3 Stereographic Projection -- 3.4 Inversion and the Complex Coordinate on the Sphere -- 3.5 Reflections and Rotations as Complex Functions -- 3.6 The Antipodal Map and the Elliptic Plane -- 3.7 Remarks on Groups, Spheres and Projective Spaces -- 3.8 The Area of a Triangle -- 3.9 The Regular Polyhedra -- 3.10 Discussion -- 4. The Hyperbolic Plane -- 4.1 Negative Curvature and the Half-Plane -- 4.2 The Half-Plane Model and the Conformai Disc Model -- 4.3 The Three Reflections Theorem -- 4.4 Isometries as Complex Functions -- 4.5 Geometric Description of Isometries -- 4.6 Classification of Isometries -- 4.7 The Area of a Triangle -- 4.8 The Projective Disc Model -- 4.9 Hyperbolic Space -- 4.10 Discussion -- 5. Hyperbolic Surfaces -- 5.1 Hyperbolic Surfaces and the Killing-Hopf Theorem -- 5.2 The Pseudosphere -- 5.3 The Punctured Sphere -- 5.4 Dense Lines on the Punctured Sphere -- 5.5 General Construction of Hyperbolic Surfaces from Polygons -- 5.6 Geometric Realization of Compact Surfaces -- 5.7 Completeness of Compact Geometric Surfaces -- 5.8 Compact Hyperbolic Surfaces -- 5.9 Discussion -- 6. Paths and Geodesies -- 6.1 Topological Classification of Surfaces -- 6.2 Geometric Classification of Surfaces -- 6.3 Paths and Homotopy -- 6.4 Lifting Paths and Lifting Homotopies -- 6.5 The Fundamental Group -- 6.6 Generators and Relations for the Fundamental Group -- 6.7 Fundamental Group and Genus -- 6.8 Closed Geodesic Paths -- 6.9 Classification of Closed Geodesic Paths -- 6.10 Discussion -- 7. Planar and Spherical Tessellations -- 7.1 Symmetric Tessellations -- 7.2 Conditions for a Polygon to Be a Fundamental Region -- 7.3 The Triangle Tessellations -- 7.4 Poincaré’s Theorem for Compact Polygons -- 7.5 Discussion -- 8. Tessellations of Compact Surfaces -- 8.1 Orbifolds and Desingularizations -- 8.2 Prom Desingularization to Symmetric Tessellation -- 8.3 Desingularizations as (Branched) Coverings -- 8.4 Some Methods of Desingularization -- 8.5 Reduction to a Permutation Problem -- 8.6 Solution of the Permutation Problem -- 8.7 Discussion -- References. |
| Record Nr. | UNINA-9910827759103321 |
|
Stillwell John
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics and its history [[electronic resource] ] : a concise edition / / John Stillwell
| Mathematics and its history [[electronic resource] ] : a concise edition / / John Stillwell |
| Autore | Stillwell John |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2020] |
| Descrizione fisica | 1 online resource (XV, 400 p. 135 illus., 91 illus. in color.) |
| Disciplina | 510.9 |
| Collana | Undergraduate texts in mathematics |
| Soggetto topico | Mathematics - History |
| ISBN |
9783030551933
3-030-55193-8 |
| Classificazione | 01-01 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. The Theorem of Pythagoras -- 2. Greek Geometry -- 3. Greek Number Theory -- 4. Infinity in Greek Mathematics -- 5. Polynomial Equations -- 6. Algebraic Geometry -- 7. Projective Geometry -- 8. Calculus -- 9. Infinite Series -- 10. Elliptic Curves and Functions -- 11. Complex Numbers and Curves -- 12. Complex Numbers and Functions -- 13. Non-Euclidean Geometries -- 14. Group Theory -- 15. Topology -- 16. Commutative Algebra -- 17. Sets, Logic, and Computation -- Bibliography -- Index. |
| Record Nr. | UNINA-9910484272703321 |
|
Stillwell John
|
||
| Cham, Switzerland : , : Springer, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics and its history [[electronic resource] ] : a concise edition / / John Stillwell
| Mathematics and its history [[electronic resource] ] : a concise edition / / John Stillwell |
| Autore | Stillwell John |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2020] |
| Descrizione fisica | 1 online resource (XV, 400 p. 135 illus., 91 illus. in color.) |
| Disciplina | 510.9 |
| Collana | Undergraduate texts in mathematics |
| Soggetto topico | Mathematics - History |
| ISBN |
9783030551933
3-030-55193-8 |
| Classificazione | 01-01 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. The Theorem of Pythagoras -- 2. Greek Geometry -- 3. Greek Number Theory -- 4. Infinity in Greek Mathematics -- 5. Polynomial Equations -- 6. Algebraic Geometry -- 7. Projective Geometry -- 8. Calculus -- 9. Infinite Series -- 10. Elliptic Curves and Functions -- 11. Complex Numbers and Curves -- 12. Complex Numbers and Functions -- 13. Non-Euclidean Geometries -- 14. Group Theory -- 15. Topology -- 16. Commutative Algebra -- 17. Sets, Logic, and Computation -- Bibliography -- Index. |
| Record Nr. | UNISA-996418188103316 |
|
Stillwell John
|
||
| Cham, Switzerland : , : Springer, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
The Real Numbers : An Introduction to Set Theory and Analysis / / by John Stillwell
| The Real Numbers : An Introduction to Set Theory and Analysis / / by John Stillwell |
| Autore | Stillwell John |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (253 p.) |
| Disciplina | 510 |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Functions of real variables
Mathematical logic Mathematics History Real Functions Mathematical Logic and Foundations History of Mathematical Sciences |
| ISBN | 3-319-01577-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Fundamental Questions -- From Discrete to Continuous -- Infinite Sets -- Functions and Limits -- Open Sets and Continuity -- Ordinals -- The Axiom of Choice -- Borel Sets -- Measure Theory -- Reflections -- Bibliography -- Index. |
| Record Nr. | UNINA-9910437871603321 |
|
Stillwell John
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Roads to infinity : the mathematics of truth and proof / / John Stillwell
| Roads to infinity : the mathematics of truth and proof / / John Stillwell |
| Autore | Stillwell John |
| Pubbl/distr/stampa | Natick, Mass. : , : A.K. Peters, , 2010 |
| Descrizione fisica | 1 online resource (202 p.) |
| Disciplina | 511.3/22 |
| Soggetto topico |
Set theory
Infinite Logic, Symbolic and mathematical |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-429-10494-4
1-4398-6550-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front Cover; Contents; Preface; - Chapter 1 - The Diagonal Argument; - Chapter 2 - Ordinals; - Chapter 3 - Computability and Proof; - Chapter 4 - Logic; - Chapter 5 - Arithmetic; - Chapter 6 - Natural Unprovable Sentences; - Chapter 7 - Axioms of Infinity; Bibliography; Back Cover |
| Record Nr. | UNINA-9910464577203321 |
|
Stillwell John
|
||
| Natick, Mass. : , : A.K. Peters, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
