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A mathematical history of the golden number [[electronic resource] /] / Roger Herz-Fischler
| A mathematical history of the golden number [[electronic resource] /] / Roger Herz-Fischler |
| Autore | Herz-Fischler Roger <1940-> |
| Edizione | [Dover ed.] |
| Pubbl/distr/stampa | Mineola, N.Y., : Dover Publications, 1998 |
| Descrizione fisica | 1 online resource (738 p.) |
| Collana | Dover Books on Mathematics |
| Soggetto topico |
Ratio and proportion - History
Geometry |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-486-15232-4
1-4593-0545-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Contents; Preface to the Dover Edition; Foreword; A Guide for Readers; A. Internal Organization; B. Bibliographical Details; C. Abbreviations; D. Symbols; E. Dates; F. Quotations from Primary Sources; Introduction; Chapter I. The Euclidean Text; Section 1. The Text; Section 2. An Examination of the Euclidean Text; A. Preliminary Observations; B. A Proposal Concerning the Origin of DEMR; C. Theorem XIII,8; D. Theorems XIII,1-5; E. Stages in the Development of DEMR in Book XIII; Chapter II. Mathematical Topics; Section 3. Complements and the Gnomon
Section 4. Transformation of AreasSection 5. Geometrical Algebra, Application of Areas, and Solutions of Equations; A. Geometrical Algebra-Level 1; B. Geometrical Algebra-Level 2; C. Application of Areas-Level 3; D. Historical References; E. Setting Out the Debate; F. Other Interpretations in Terms of Equations; G. Problems in Interpretation; H. Division of Figures; I. Theorems VI,28,29 vs 11,5,6; J. Euclid's Data; K. Theorem II,11; L. II,11-Application of Areas, Various Views; i. Szabó; ii. Junge; iii. Valabrega-Gibellato; Section 6. Side and Diagonal Numbers; Section 7. Incommensurability Section 8. The Euclidean Algorithm, Anthyphairesis, and Continued FractionsChapter III. Examples of The Pentagon, Pentagram, and Dodecahedron Before -400; Section 9. Examples before Pythagoras (before c. -550); A. Prehistoric Egypt; B. Prehistoric Mesopotamia; C. Sumerian and Akkadian Cuneiform Ideograms; i. Fuÿe's Theory; D. A Babylonian Approximation for the Area of the Pentagon; i. Stapleton's Theory; E. Palestine; Section 10. From Pythagoras until -400; A. Vases from Greece and its Italian Colonies , Etruria (Italy); B. Shield Devices on Vases; C. Coins; D. Dodecahedra E. Additional MaterialConclusions; Chapter IV. The Pythagoreans; i. Pythagoras; ii. Hippasus; iii. Hippocrates of Chios; iv. Theodorus of Cyrene; v. Archytas; Section 11. Ancient References to the Pythagoreans; A. The Pentagram as a Symbol of the Pythagoreans; B. The Pythagoreans and the Construction of the Dodecahedron; C. Other References to the Pythagoreans; Section 12. Theories Linking DEMR with the Pythagoreans; i. The Pentagram; ii. Scholia Assigning Book IV to the Pythagoreans; iii. Equations and Application of Areas; iv. The Dodecahedron v. A Marked Straight-Edge Construction of the Pentagonvi. A Gnomon Theory; vii. Allman's Theory: The Discovery of Incommensurability; viii. Fritz-Junge Theory: The Discovery of Incommensurability; ix. Heller's Theory: The Discovery of DEMR; x. Neuenschwander's Analysis; xi. Stapleton; Chapter V. Miscellaneous Theories; Section 13. Miscellaneous Theories; i. Michel; ii. Fowler: An Anthyphairesis Development of DEMR; iii. Knorr: Anthyphairesis and DEMR; iv. Itard: Theorem IX,15; Section 14. Theorems XIII,1-5; i. Bretschneider; ii. Allman; iii. Michel; iv. Dijksterhuis and Van der Waerden v. Lasserre |
| Record Nr. | UNINA-9910452953803321 |
Herz-Fischler Roger <1940->
|
||
| Mineola, N.Y., : Dover Publications, 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A mathematical history of the golden number [[electronic resource] /] / Roger Herz-Fischler
| A mathematical history of the golden number [[electronic resource] /] / Roger Herz-Fischler |
| Autore | Herz-Fischler Roger <1940-> |
| Edizione | [Dover ed.] |
| Pubbl/distr/stampa | Mineola, N.Y., : Dover Publications, 1998 |
| Descrizione fisica | 1 online resource (738 p.) |
| Disciplina | 512.7 |
| Collana | Dover Books on Mathematics |
| Soggetto topico |
Ratio and proportion - History
Geometry |
| ISBN |
0-486-15232-4
1-4593-0545-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Contents; Preface to the Dover Edition; Foreword; A Guide for Readers; A. Internal Organization; B. Bibliographical Details; C. Abbreviations; D. Symbols; E. Dates; F. Quotations from Primary Sources; Introduction; Chapter I. The Euclidean Text; Section 1. The Text; Section 2. An Examination of the Euclidean Text; A. Preliminary Observations; B. A Proposal Concerning the Origin of DEMR; C. Theorem XIII,8; D. Theorems XIII,1-5; E. Stages in the Development of DEMR in Book XIII; Chapter II. Mathematical Topics; Section 3. Complements and the Gnomon
Section 4. Transformation of AreasSection 5. Geometrical Algebra, Application of Areas, and Solutions of Equations; A. Geometrical Algebra-Level 1; B. Geometrical Algebra-Level 2; C. Application of Areas-Level 3; D. Historical References; E. Setting Out the Debate; F. Other Interpretations in Terms of Equations; G. Problems in Interpretation; H. Division of Figures; I. Theorems VI,28,29 vs 11,5,6; J. Euclid's Data; K. Theorem II,11; L. II,11-Application of Areas, Various Views; i. Szabó; ii. Junge; iii. Valabrega-Gibellato; Section 6. Side and Diagonal Numbers; Section 7. Incommensurability Section 8. The Euclidean Algorithm, Anthyphairesis, and Continued FractionsChapter III. Examples of The Pentagon, Pentagram, and Dodecahedron Before -400; Section 9. Examples before Pythagoras (before c. -550); A. Prehistoric Egypt; B. Prehistoric Mesopotamia; C. Sumerian and Akkadian Cuneiform Ideograms; i. Fuÿe's Theory; D. A Babylonian Approximation for the Area of the Pentagon; i. Stapleton's Theory; E. Palestine; Section 10. From Pythagoras until -400; A. Vases from Greece and its Italian Colonies , Etruria (Italy); B. Shield Devices on Vases; C. Coins; D. Dodecahedra E. Additional MaterialConclusions; Chapter IV. The Pythagoreans; i. Pythagoras; ii. Hippasus; iii. Hippocrates of Chios; iv. Theodorus of Cyrene; v. Archytas; Section 11. Ancient References to the Pythagoreans; A. The Pentagram as a Symbol of the Pythagoreans; B. The Pythagoreans and the Construction of the Dodecahedron; C. Other References to the Pythagoreans; Section 12. Theories Linking DEMR with the Pythagoreans; i. The Pentagram; ii. Scholia Assigning Book IV to the Pythagoreans; iii. Equations and Application of Areas; iv. The Dodecahedron v. A Marked Straight-Edge Construction of the Pentagonvi. A Gnomon Theory; vii. Allman's Theory: The Discovery of Incommensurability; viii. Fritz-Junge Theory: The Discovery of Incommensurability; ix. Heller's Theory: The Discovery of DEMR; x. Neuenschwander's Analysis; xi. Stapleton; Chapter V. Miscellaneous Theories; Section 13. Miscellaneous Theories; i. Michel; ii. Fowler: An Anthyphairesis Development of DEMR; iii. Knorr: Anthyphairesis and DEMR; iv. Itard: Theorem IX,15; Section 14. Theorems XIII,1-5; i. Bretschneider; ii. Allman; iii. Michel; iv. Dijksterhuis and Van der Waerden v. Lasserre |
| Record Nr. | UNINA-9910782070503321 |
|
Herz-Fischler Roger <1940->
|
||
| Mineola, N.Y., : Dover Publications, 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A mathematical history of the golden number / / Roger Herz-Fischler
| A mathematical history of the golden number / / Roger Herz-Fischler |
| Autore | Herz-Fischler Roger <1940-> |
| Edizione | [Dover ed.] |
| Pubbl/distr/stampa | Mineola, N.Y., : Dover Publications, 1998 |
| Descrizione fisica | 1 online resource (738 p.) |
| Disciplina | 512.7 |
| Collana | Dover Books on Mathematics |
| Soggetto topico |
Ratio and proportion - History
Geometry |
| ISBN |
9780486152325
0486152324 9781459305458 1459305450 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Contents; Preface to the Dover Edition; Foreword; A Guide for Readers; A. Internal Organization; B. Bibliographical Details; C. Abbreviations; D. Symbols; E. Dates; F. Quotations from Primary Sources; Introduction; Chapter I. The Euclidean Text; Section 1. The Text; Section 2. An Examination of the Euclidean Text; A. Preliminary Observations; B. A Proposal Concerning the Origin of DEMR; C. Theorem XIII,8; D. Theorems XIII,1-5; E. Stages in the Development of DEMR in Book XIII; Chapter II. Mathematical Topics; Section 3. Complements and the Gnomon
Section 4. Transformation of AreasSection 5. Geometrical Algebra, Application of Areas, and Solutions of Equations; A. Geometrical Algebra-Level 1; B. Geometrical Algebra-Level 2; C. Application of Areas-Level 3; D. Historical References; E. Setting Out the Debate; F. Other Interpretations in Terms of Equations; G. Problems in Interpretation; H. Division of Figures; I. Theorems VI,28,29 vs 11,5,6; J. Euclid's Data; K. Theorem II,11; L. II,11-Application of Areas, Various Views; i. Szabó; ii. Junge; iii. Valabrega-Gibellato; Section 6. Side and Diagonal Numbers; Section 7. Incommensurability Section 8. The Euclidean Algorithm, Anthyphairesis, and Continued FractionsChapter III. Examples of The Pentagon, Pentagram, and Dodecahedron Before -400; Section 9. Examples before Pythagoras (before c. -550); A. Prehistoric Egypt; B. Prehistoric Mesopotamia; C. Sumerian and Akkadian Cuneiform Ideograms; i. Fuÿe's Theory; D. A Babylonian Approximation for the Area of the Pentagon; i. Stapleton's Theory; E. Palestine; Section 10. From Pythagoras until -400; A. Vases from Greece and its Italian Colonies , Etruria (Italy); B. Shield Devices on Vases; C. Coins; D. Dodecahedra E. Additional MaterialConclusions; Chapter IV. The Pythagoreans; i. Pythagoras; ii. Hippasus; iii. Hippocrates of Chios; iv. Theodorus of Cyrene; v. Archytas; Section 11. Ancient References to the Pythagoreans; A. The Pentagram as a Symbol of the Pythagoreans; B. The Pythagoreans and the Construction of the Dodecahedron; C. Other References to the Pythagoreans; Section 12. Theories Linking DEMR with the Pythagoreans; i. The Pentagram; ii. Scholia Assigning Book IV to the Pythagoreans; iii. Equations and Application of Areas; iv. The Dodecahedron v. A Marked Straight-Edge Construction of the Pentagonvi. A Gnomon Theory; vii. Allman's Theory: The Discovery of Incommensurability; viii. Fritz-Junge Theory: The Discovery of Incommensurability; ix. Heller's Theory: The Discovery of DEMR; x. Neuenschwander's Analysis; xi. Stapleton; Chapter V. Miscellaneous Theories; Section 13. Miscellaneous Theories; i. Michel; ii. Fowler: An Anthyphairesis Development of DEMR; iii. Knorr: Anthyphairesis and DEMR; iv. Itard: Theorem IX,15; Section 14. Theorems XIII,1-5; i. Bretschneider; ii. Allman; iii. Michel; iv. Dijksterhuis and Van der Waerden v. Lasserre |
| Record Nr. | UNINA-9910956747203321 |
|
Herz-Fischler Roger <1940->
|
||
| Mineola, N.Y., : Dover Publications, 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The shape of the Great Pyramid [[electronic resource] /] / Roger Herz-Fischler
| The shape of the Great Pyramid [[electronic resource] /] / Roger Herz-Fischler |
| Autore | Herz-Fischler Roger <1940-> |
| Pubbl/distr/stampa | Waterloo, Ont., : Wilfrid Laurier University Press, 2000 |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina | 932 |
| Soggetto topico |
Great Pyramid (Egypt)
Weights and measures - Egypt |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-92515-9
9786610925155 0-88920-776-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table of Contents; Acknowledgements; Introduction; PART I. THE CONTEXT; PART II. ONE PYRAMID, MANY THEORIES; PART III. CONCLUSIONS; APPENDICES; NOTES; BIBLIOGRAPHY/INDEX |
| Record Nr. | UNINA-9910151629403321 |
|
Herz-Fischler Roger <1940->
|
||
| Waterloo, Ont., : Wilfrid Laurier University Press, 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The shape of the Great Pyramid [[electronic resource] /] / Roger Herz-Fischler
| The shape of the Great Pyramid [[electronic resource] /] / Roger Herz-Fischler |
| Autore | Herz-Fischler Roger <1940-> |
| Pubbl/distr/stampa | Waterloo, Ont., : Wilfrid Laurier University Press, 2000 |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina | 932 |
| Soggetto topico |
Great Pyramid (Egypt)
Weights and measures - Egypt |
| ISBN |
1-280-92515-9
9786610925155 0-88920-776-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table of Contents; Acknowledgements; Introduction; PART I. THE CONTEXT; PART II. ONE PYRAMID, MANY THEORIES; PART III. CONCLUSIONS; APPENDICES; NOTES; BIBLIOGRAPHY/INDEX |
| Record Nr. | UNINA-9910782070603321 |
|
Herz-Fischler Roger <1940->
|
||
| Waterloo, Ont., : Wilfrid Laurier University Press, 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||