Problem-Solving and Selected Topics in Euclidean Geometry : In the Spirit of the Mathematical Olympiads / / by Sotirios E. Louridas, Michael Th. Rassias |
Autore | Louridas Sotirios E |
Edizione | [1st ed. 2013.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
Descrizione fisica | 1 online resource (X, 235 p.) |
Disciplina | 516.2 |
Soggetto topico |
Geometry
Algebraic geometry Mathematics Algebraic Geometry Mathematics, general |
ISBN | 1-4614-7273-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Foreword -- Preface -- Basic Concepts and Theorems of Euclidean Geometry -- Methods of Analysis, Synthesis, Construction and Proof.-Geometrical Constructions -- Geometrical Loci -- Problems of Olympiad Caliber -- Solutions of the Problems -- Bibliography -- Index. |
Record Nr. | UNINA-9910438157803321 |
Louridas Sotirios E | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Il problema della duplicazione del cubo. Tesi di laurea / laureanda Marilena Cairo ; relat. Giuseppe Micelli |
Autore | Cairo, Marilena |
Pubbl/distr/stampa | Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1996-97 |
Disciplina | 516.2 |
Altri autori (Persone) | Micelli, Giuseppe |
Soggetto topico | Elementary problems in Euclidean geometries |
Classificazione | AMS 51M04 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Record Nr. | UNISALENTO-991001252169707536 |
Cairo, Marilena | ||
Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1996-97 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Il problema della trisezione dell'angolo. Tesi di laurea / laureanda Doriana Sallustio ; relat. Giuseppe Micelli |
Autore | Sallustio, Doriana |
Pubbl/distr/stampa | Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1996-97 |
Disciplina | 516.2 |
Altri autori (Persone) | Micelli, Giuseppe |
Soggetto topico | Elementary problems in Euclidean geometries |
Classificazione | AMS 51M04 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Record Nr. | UNISALENTO-991001252529707536 |
Sallustio, Doriana | ||
Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1996-97 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Proprietà estremali per i poligoni. Tesi di laurea / laureanda Luciana Zocco ; relat. G. De Cecco |
Autore | Zocco, Luciana |
Pubbl/distr/stampa | Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1989-90 |
Disciplina | 516.2 |
Altri autori (Persone) | De Cecco, Giuseppe |
Soggetto topico | Geometric constructions |
Classificazione |
AMS 51M
AMS 51M16 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Record Nr. | UNISALENTO-991001270839707536 |
Zocco, Luciana | ||
Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1989-90 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Reshetnyak's Theory of Subharmonic Metrics / / François Fillastre and Dmitriy Slutskiy |
Autore | Fillastre François |
Edizione | [First edition.] |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, Springer Nature Switzerland AG, , [2023] |
Descrizione fisica | 1 online resource (389 pages) |
Disciplina | 516.2 |
Soggetto topico |
Curves
Manifolds (Mathematics) Subharmonic functions |
ISBN | 3-031-24255-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Foreword -- Preface -- Contents -- 1 How I Got Involved in Research on Two-Dimensional Manifolds of Bounded Curvature -- 2 On Alexandrov's Surfaces with Bounded Integral Curvature -- 2.1 Introduction -- 2.2 Definition of Alexandrov's Surfaces -- 2.3 On the Weyl Problem -- 2.4 Alexandrov Surfaces Obtained by Gluing Riemannian Pieces -- 2.5 Conformal Structure and Uniformization of Smooth Surfaces -- 2.6 Green Kernel and Potential -- 2.7 The Conformal Representation of Alexandrov Surfaces -- 2.8 Toward a Classification of Compact Alexandrov Surfaces -- 2.9 Some Questions and Problems -- References -- 3 Riemannian Surfaces with Simple Singularities -- 3.1 Local Description -- 3.2 Global Description -- 3.3 Some Global Geometry -- 3.4 Classifying Flat Metrics -- 3.5 The Berger-Nirenberg Problem on Surfaces with Divisors -- 3.6 Spherical Polyhedra -- References -- 4 An Introduction to Reshetnyak's Theory of Subharmonic Distances -- 4.1 Introduction -- Terminology -- 4.2 Curves in the Plane -- 4.2.1 Rotation, Turn, and Laplacian -- 4.2.1.1 Rotation of Arcs in the Plane -- 4.2.1.2 Turn of Arcs, Laplacian, and Curvature for Riemannian Metric -- 4.2.1.3 Angle Under Which an Arc Is Seen: Left and Right Turn of Arcs -- 4.2.1.4 Flat Cones and Weak Laplacian -- 4.2.2 Arcs of Bounded Rotation -- 4.2.2.1 Classical Results -- 4.2.2.2 Arcs of Bounded Rotation and Convex Functions -- 4.2.2.3 Bounded Rotation and Bounded Turn -- 4.3 Subharmonic Functions -- 4.3.1 Definition -- 4.3.2 Approximation -- 4.3.3 Polar Sets -- 4.3.4 Delta-Subharmonic Functions -- 4.3.5 Localization of Delta-Subharmonic Functions -- 4.4 Subharmonic Distances on the Plane -- 4.4.1 Length of Arcs -- 4.4.2 Length Distance -- 4.4.3 Canonical Stretching and Points at Infinity -- 4.4.4 Distances Convergence Theorem and Consequences -- 4.4.4.1 Convergence of Distances.
4.4.4.2 Consequences on Curves -- 4.4.5 Contraction onto a Cone -- 4.4.6 Two-Dimensional Manifolds of Bounded Curvature -- 4.5 Conformal Aspects of Subharmonic Distances -- 4.5.1 Conformal Mappings -- 4.5.2 A Glimpse to Riemann Surfaces -- 4.6 Other Results -- 4.6.1 Isothermal Coordinates on Two-Dimensional Manifolds of Bounded Curvature -- 4.6.2 Turn and Curvature in a Two-Dimensional Manifold of Bounded Curvature -- 4.6.3 Lipschitz Approximation and the Area Measure -- 4.6.4 Non-Positive Curvature and Isoperimetric Inequality -- References -- 5 Isothermal Coordinates on Manifolds of Bounded Curvature -- References -- 6 Study of Manifolds of Bounded Curvature Using Isothermal Coordinates -- References -- 7 Isothermal Coordinates on Manifolds of Bounded Curvature I -- 1 Isothermal Coordinates in Two-Dimensional Riemannian Manifolds -- 2 Definition of Manifolds of Bounded Curvature -- 3 Curves of Bounded Rotation -- 4 Statements of Results -- 5 Metrics Convergence Theorem -- 6 Reduction of the Proof of the Metrics Convergence Theorem to the Proof of Three Basic Lemmas -- 7 Proof of Theorem I -- 8 Proof of Theorem II -- References -- 8 Isothermal Coordinates on Manifolds of Bounded Curvature II -- 1 First Basic Lemma -- 2 Second Basic Lemma -- 3 Third Basic Lemma -- References -- 9 On Isoperimetric Property of Two-dimensional Manifolds with Curvature Bounded from Above by K -- 1 Main Definitions and Statement of Results -- 2 The λ Regular Case -- 3 Local Boundedness of the Function λ -- 4 Approximation by Riemannian Metrics -- 5 Properties of Functions of Bounded Curvatures -- 6 Proof of the Main Theorem -- References -- 10 On a Special Mapping of a Cone onto a Polyhedron -- 1 Main Definition and Statement of the Results -- 2 Auxiliary Statements -- 3 Proof of Theorem 1 -- 4 Proof of Theorem 2. 5 Some Applications of Theorems 1 and 2 -- References -- 11 On a Special Mapping of a Cone in a Manifold of BoundedCurvature -- 1 Main Definitions and Statements of the Results -- 2 Some Statements About Metrics Convergence -- 3 Construction of Polyhedra Converging to a Given Domain -- 4 Correction of the Sequence Dn -- 5 Construction of the Convergence Sequence of Cones -- 6 Proof of Theorem 1 -- 7 Toward the Axiomatic of Manifolds of Bounded Curvature -- References -- 12 Arc Length in Manifolds of Bounded Curvature with an Isothermal Metric -- 1 Definition and Statement of the Result -- 2 Some Properties of the Logarithmic Potential -- 3 Definition of the Integral along a Curve -- 4 Proof of the Main Theorem -- 5 Example of a Non-rectifiable Curve of Finite Length in an (M,λ) -- References -- 13 Turn of Curves in Manifolds of Bounded Curvature with Isothermal Metric -- 1. Introduction -- 2. Angular Function of a Curve, Notion of Side, Rotation of a Curve -- 3. The Formal Turn -- 4. Some Lemmas on Weak Convergence of Measures -- 5. Lemmas on Passage to the Limit for the Formal Turn -- 6. Metric Localization Theorem -- 7. Non-positivity of Turn of Shortest Arcs -- 8. Invariance of the Turn of a Curve -- 9. Curves of Bounded Turn -- References -- 14 On the Potential Theoretic Aspect of Alexandrov Surface Theory -- 1 Introduction -- 2 Auxiliary Results Concerning Subharmonic Functions -- 3 Proof of Theorem A -- 4 A Potential Theoretic Definition of Curve Length -- References -- Index. |
Record Nr. | UNINA-9910746282503321 |
Fillastre François | ||
Cham, Switzerland : , : Springer, Springer Nature Switzerland AG, , [2023] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Seminaire de probabilités XXXVI / J. Azema ... [et al.] |
Pubbl/distr/stampa | Berlin : Springer, c2003 |
Descrizione fisica | viii, 497 p. ; cm24 |
Disciplina | 516.2 |
Collana | Lecture Notes in Mathematics |
Soggetto non controllato |
Processi stocastici
Analisi stocastica Processi di Markov |
ISBN | 3-540-00072-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990001504750403321 |
Berlin : Springer, c2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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La sezione aurea : storia di un numero e di un mistero che dura da tremila anni / Mario Livio ; traduzione di Stefano Galli |
Autore | Livio, Mario |
Pubbl/distr/stampa | [Milano] : Rizzoli, 2004 |
Descrizione fisica |
414 p. : ill. ; 19 cm
6.ed. |
Disciplina | 516.2 |
Soggetto topico | Sezione aurea |
ISBN | 8817872016 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Record Nr. | UNISALENTO-991004297834807536 |
Livio, Mario | ||
[Milano] : Rizzoli, 2004 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Solutions Manual for Geometry [[electronic resource] ] : A High School Course / / by Philip Carlson |
Autore | Carlson Philip |
Edizione | [1st ed. 1994.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1994 |
Descrizione fisica | 1 online resource (VI, 140 p.) |
Disciplina | 516.2 |
Soggetto topico |
Education
Geometry Popular Science in Education |
ISBN | 1-4612-0861-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Distance and Angles -- 2 Coordinates -- 3 Area and the Pythagoras Theorem -- 4 The Distance Formula -- 5 Some Applications of Right Triangles -- 6 Polygons -- 7 Congruent Triangles -- 8 Dilations and Similarities -- 9 Volumes -- 10 Vectors and Dot Products -- 11 Transformations -- 12 Isometrics. |
Record Nr. | UNINA-9910480354203321 |
Carlson Philip | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Solutions Manual for Geometry [[electronic resource] ] : A High School Course / / by Philip Carlson |
Autore | Carlson Philip |
Edizione | [1st ed. 1994.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1994 |
Descrizione fisica | 1 online resource (VI, 140 p.) |
Disciplina | 516.2 |
Altri autori (Persone) | LangSerge <1927-2005.> |
Soggetto topico |
Education
Geometry Popular Science in Education |
ISBN | 1-4612-0861-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Distance and Angles -- 2 Coordinates -- 3 Area and the Pythagoras Theorem -- 4 The Distance Formula -- 5 Some Applications of Right Triangles -- 6 Polygons -- 7 Congruent Triangles -- 8 Dilations and Similarities -- 9 Volumes -- 10 Vectors and Dot Products -- 11 Transformations -- 12 Isometrics. |
Record Nr. | UNINA-9910789341703321 |
Carlson Philip | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Solutions Manual for Geometry : A High School Course / / by Philip Carlson |
Autore | Carlson Philip |
Edizione | [1st ed. 1994.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1994 |
Descrizione fisica | 1 online resource (VI, 140 p.) |
Disciplina | 516.2 |
Altri autori (Persone) | LangSerge <1927-2005.> |
Soggetto topico |
Education
Geometry Popular Science in Education |
ISBN | 1-4612-0861-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Distance and Angles -- 2 Coordinates -- 3 Area and the Pythagoras Theorem -- 4 The Distance Formula -- 5 Some Applications of Right Triangles -- 6 Polygons -- 7 Congruent Triangles -- 8 Dilations and Similarities -- 9 Volumes -- 10 Vectors and Dot Products -- 11 Transformations -- 12 Isometrics. |
Record Nr. | UNINA-9910812417303321 |
Carlson Philip | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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