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Mathematical thought from ancient to modern times . Volume 3 [[electronic resource] /] / Morris Kline
| Mathematical thought from ancient to modern times . Volume 3 [[electronic resource] /] / Morris Kline |
| Autore | Kline Morris <1908-1992.> |
| Pubbl/distr/stampa | New York, : Oxford University Press, 1990, c1972 |
| Descrizione fisica | 1 online resource (439 p.) |
| Disciplina | 510.9 |
| Soggetto topico |
Mathematics - History
Mathematical analysis - History |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-09795-8
9786613097958 0-19-977048-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; 34. The Theory of Numbers in the Nineteenth Century; 35. The Revival of Projective Geometry; 36. Non-Euclidean Geometry; 37. The Differential Geometry of Gauss and Riemann; 38. Projective and Metric Geometry; 39. Algebraic Geometry; 40. The Instillation of Rigor in Analysis; 41. The Foundations of the Real and Transfinite Numbers; 42. The Foundations of Geometry; 43. Mathematics as of 1900; 44. The Theory of Functions of Real Variables; 45. Integral Equations; 46. Functional Analysis; 47. Divergent Series; 48. Tensor Analysis and Differential Geometry
49. The Emergence of Abstract Algebra50. The Beginnings of Topology; 51. The Foundations of Mathematics; List of Abbreviations; Index |
| Record Nr. | UNINA-9910459694703321 |
Kline Morris <1908-1992.>
|
||
| New York, : Oxford University Press, 1990, c1972 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical thought from ancient to modern times . 1 [[electronic resource]]
| Mathematical thought from ancient to modern times . 1 [[electronic resource]] |
| Autore | Kline Morris <1908-1992.> |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, USA, 1990 |
| Descrizione fisica | 1 online resource (865 p.) |
| Disciplina | 510.9 |
| Soggetto topico |
Mathematics -- History
Mathematics - History Mathematics Physical Sciences & Mathematics Mathematics - General |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-19-977046-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover Page; Title Page; Copyright Page; Dedication; Preface to the Three-Volume: Paperback Edition of Mathematical Thought; Preface; Contents; Publisher's Note; 1. Mathematics in Mesopotamia; 1. Where Did Mathematics Begin?; 2. Political History in Mesopotamia; 3. The Number Symbols; 4. Arithmetic Operations; 5. Babylonian Algebra; 6. Babylonian Geometry; 7. The Uses of Mathematics in Babylonia; 8. Evaluation of Babylonian Mathematics; 2. Egyptian Mathematics; 1. Background; 2. The Arithmetic; 3. Algebra and Geometry; 4. Egyptian Uses of Mathematics; 5. Summary
3. The Creation of Classical Greek Mathematics1. Background; 2. The General Sources; 3. The Major Schools of the Classical Period; 4. The Ionian School; 5. The Pythagoreans; 6. The Eleatic School; 7. The Sophist School; 8. The Platonic School; 9. The School of Eudoxus; 10. Aristotle and His School; 4. Euclid and Apollonius; 1. Introduction; 2. The Background of Euclid's Elements; 3. The Definitions and Axioms of the Elements; 4. Books I to IV of the Elements; 5. Book V: The Theory of Proportion; 6. Book VI: Similar Figures; 7. Books VII, VIII, and IX: TheTheory of Numbers 8. Book X: The Classification of Incommensurables9. Books XI, XII, and XIII: Solid Geometry and the Method of Exhaustion; 10. The Merits and Defects of the Elements; 11. Other Mathematical Works by Euclid; 12. The Mathematical Work of Apollonius; 5. The Alexandrian Greek Period: Geometry and Trigonometry; 1. The Founding of Alexandria; 2. The Character of Alexandrian Greek Mathematics; 3. Areas and Volumes in the Work of Archimedes; 4. Areas and Volumes in the Work of Heron; 5. Some Exceptional Curves; 6. The Creation of Trigonometry; 7. Late Alexandrian Activity in Geometry 6. The Alexandrian Period: The Reemergence of Arithmetic and Algebra1. The Symbols and Operations of Greek Arithmetic; 2. Arithmetic and Algebra as an Independent Development; 7. The Greek Rationalization of Nature; 1. The Inspiration for Greek Mathematics; 2. The Beginnings of a Rational View of Nature; 3. The Development of the Belief in Mathematical Design; 4. Greek Mathematical Astronomy; 5. Geography; 6. Mechanics; 7. Optics; 8. Astrology; 8. The Demise of the Greek World; 1. A Review of the Greek Achievements; 2. The Limitations of Greek Mathematics 3. The Problems Bequeathed by the Greeks4. The Demise of the Greek Civilization; 9. The Mathematics of the Hindus and Arabs; 1. Early Hindu Mathematics; 2. Hindu Arithmetic and Algebra of the Period A.D. 200-1200; 3. Hindu Geometry and Trigonometry of the Period A.D. 200-1200; 4. The Arabs; 5. Arabic Arithmetic and Algebra; 6. Arabic Geometry and Trigonometry; 7. Mathematics circa 1300; 10. The Medieval Period in Europe; 1. The Beginnings of a European Civilization; 2. The Materials Available for Learning; 3. The Role of Mathematics in Early Medieval Europe; 4. The Stagnation in Mathematics 5. The First Revival of the Greek Works |
| Record Nr. | UNINA-9910462363203321 |
|
Kline Morris <1908-1992.>
|
||
| Oxford, : Oxford University Press, USA, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical thought from ancient to modern times . Volume 3 [[electronic resource] /] / Morris Kline
| Mathematical thought from ancient to modern times . Volume 3 [[electronic resource] /] / Morris Kline |
| Autore | Kline Morris <1908-1992.> |
| Pubbl/distr/stampa | New York, : Oxford University Press, 1990, c1972 |
| Descrizione fisica | 1 online resource (439 p.) |
| Disciplina | 510.9 |
| Soggetto topico |
Mathematics - History
Mathematical analysis - History |
| ISBN |
0-19-772721-2
1-283-09795-8 9786613097958 0-19-977048-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; 34. The Theory of Numbers in the Nineteenth Century; 35. The Revival of Projective Geometry; 36. Non-Euclidean Geometry; 37. The Differential Geometry of Gauss and Riemann; 38. Projective and Metric Geometry; 39. Algebraic Geometry; 40. The Instillation of Rigor in Analysis; 41. The Foundations of the Real and Transfinite Numbers; 42. The Foundations of Geometry; 43. Mathematics as of 1900; 44. The Theory of Functions of Real Variables; 45. Integral Equations; 46. Functional Analysis; 47. Divergent Series; 48. Tensor Analysis and Differential Geometry
49. The Emergence of Abstract Algebra50. The Beginnings of Topology; 51. The Foundations of Mathematics; List of Abbreviations; Index |
| Record Nr. | UNINA-9910789869803321 |
|
Kline Morris <1908-1992.>
|
||
| New York, : Oxford University Press, 1990, c1972 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical thought from ancient to modern times . 1 [[electronic resource]]
| Mathematical thought from ancient to modern times . 1 [[electronic resource]] |
| Autore | Kline Morris <1908-1992.> |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, USA, 1990 |
| Descrizione fisica | 1 online resource (865 p.) |
| Disciplina | 510.9 |
| Soggetto topico |
Mathematics -- History
Mathematics - History Mathematics Physical Sciences & Mathematics Mathematics - General |
| ISBN |
0-19-772723-9
0-19-977046-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover Page; Title Page; Copyright Page; Dedication; Preface to the Three-Volume: Paperback Edition of Mathematical Thought; Preface; Contents; Publisher's Note; 1. Mathematics in Mesopotamia; 1. Where Did Mathematics Begin?; 2. Political History in Mesopotamia; 3. The Number Symbols; 4. Arithmetic Operations; 5. Babylonian Algebra; 6. Babylonian Geometry; 7. The Uses of Mathematics in Babylonia; 8. Evaluation of Babylonian Mathematics; 2. Egyptian Mathematics; 1. Background; 2. The Arithmetic; 3. Algebra and Geometry; 4. Egyptian Uses of Mathematics; 5. Summary
3. The Creation of Classical Greek Mathematics1. Background; 2. The General Sources; 3. The Major Schools of the Classical Period; 4. The Ionian School; 5. The Pythagoreans; 6. The Eleatic School; 7. The Sophist School; 8. The Platonic School; 9. The School of Eudoxus; 10. Aristotle and His School; 4. Euclid and Apollonius; 1. Introduction; 2. The Background of Euclid's Elements; 3. The Definitions and Axioms of the Elements; 4. Books I to IV of the Elements; 5. Book V: The Theory of Proportion; 6. Book VI: Similar Figures; 7. Books VII, VIII, and IX: TheTheory of Numbers 8. Book X: The Classification of Incommensurables9. Books XI, XII, and XIII: Solid Geometry and the Method of Exhaustion; 10. The Merits and Defects of the Elements; 11. Other Mathematical Works by Euclid; 12. The Mathematical Work of Apollonius; 5. The Alexandrian Greek Period: Geometry and Trigonometry; 1. The Founding of Alexandria; 2. The Character of Alexandrian Greek Mathematics; 3. Areas and Volumes in the Work of Archimedes; 4. Areas and Volumes in the Work of Heron; 5. Some Exceptional Curves; 6. The Creation of Trigonometry; 7. Late Alexandrian Activity in Geometry 6. The Alexandrian Period: The Reemergence of Arithmetic and Algebra1. The Symbols and Operations of Greek Arithmetic; 2. Arithmetic and Algebra as an Independent Development; 7. The Greek Rationalization of Nature; 1. The Inspiration for Greek Mathematics; 2. The Beginnings of a Rational View of Nature; 3. The Development of the Belief in Mathematical Design; 4. Greek Mathematical Astronomy; 5. Geography; 6. Mechanics; 7. Optics; 8. Astrology; 8. The Demise of the Greek World; 1. A Review of the Greek Achievements; 2. The Limitations of Greek Mathematics 3. The Problems Bequeathed by the Greeks4. The Demise of the Greek Civilization; 9. The Mathematics of the Hindus and Arabs; 1. Early Hindu Mathematics; 2. Hindu Arithmetic and Algebra of the Period A.D. 200-1200; 3. Hindu Geometry and Trigonometry of the Period A.D. 200-1200; 4. The Arabs; 5. Arabic Arithmetic and Algebra; 6. Arabic Geometry and Trigonometry; 7. Mathematics circa 1300; 10. The Medieval Period in Europe; 1. The Beginnings of a European Civilization; 2. The Materials Available for Learning; 3. The Role of Mathematics in Early Medieval Europe; 4. The Stagnation in Mathematics 5. The First Revival of the Greek Works |
| Record Nr. | UNINA-9910790361603321 |
|
Kline Morris <1908-1992.>
|
||
| Oxford, : Oxford University Press, USA, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical thought from ancient to modern times . Volume 3 [[electronic resource] /] / Morris Kline
| Mathematical thought from ancient to modern times . Volume 3 [[electronic resource] /] / Morris Kline |
| Autore | Kline Morris <1908-1992.> |
| Pubbl/distr/stampa | New York, : Oxford University Press, 1990, c1972 |
| Descrizione fisica | 1 online resource (439 p.) |
| Disciplina | 510.9 |
| Soggetto topico |
Mathematics - History
Mathematical analysis - History |
| ISBN |
0-19-772721-2
1-283-09795-8 9786613097958 0-19-977048-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; 34. The Theory of Numbers in the Nineteenth Century; 35. The Revival of Projective Geometry; 36. Non-Euclidean Geometry; 37. The Differential Geometry of Gauss and Riemann; 38. Projective and Metric Geometry; 39. Algebraic Geometry; 40. The Instillation of Rigor in Analysis; 41. The Foundations of the Real and Transfinite Numbers; 42. The Foundations of Geometry; 43. Mathematics as of 1900; 44. The Theory of Functions of Real Variables; 45. Integral Equations; 46. Functional Analysis; 47. Divergent Series; 48. Tensor Analysis and Differential Geometry
49. The Emergence of Abstract Algebra50. The Beginnings of Topology; 51. The Foundations of Mathematics; List of Abbreviations; Index |
| Record Nr. | UNINA-9910817453703321 |
|
Kline Morris <1908-1992.>
|
||
| New York, : Oxford University Press, 1990, c1972 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical thought from ancient to modern times . 1 [[electronic resource]]
| Mathematical thought from ancient to modern times . 1 [[electronic resource]] |
| Autore | Kline Morris <1908-1992.> |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, USA, 1990 |
| Descrizione fisica | 1 online resource (865 p.) |
| Disciplina | 510.9 |
| Soggetto topico |
Mathematics -- History
Mathematics - History Mathematics Physical Sciences & Mathematics Mathematics - General |
| ISBN |
0-19-772723-9
0-19-977046-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover Page; Title Page; Copyright Page; Dedication; Preface to the Three-Volume: Paperback Edition of Mathematical Thought; Preface; Contents; Publisher's Note; 1. Mathematics in Mesopotamia; 1. Where Did Mathematics Begin?; 2. Political History in Mesopotamia; 3. The Number Symbols; 4. Arithmetic Operations; 5. Babylonian Algebra; 6. Babylonian Geometry; 7. The Uses of Mathematics in Babylonia; 8. Evaluation of Babylonian Mathematics; 2. Egyptian Mathematics; 1. Background; 2. The Arithmetic; 3. Algebra and Geometry; 4. Egyptian Uses of Mathematics; 5. Summary
3. The Creation of Classical Greek Mathematics1. Background; 2. The General Sources; 3. The Major Schools of the Classical Period; 4. The Ionian School; 5. The Pythagoreans; 6. The Eleatic School; 7. The Sophist School; 8. The Platonic School; 9. The School of Eudoxus; 10. Aristotle and His School; 4. Euclid and Apollonius; 1. Introduction; 2. The Background of Euclid's Elements; 3. The Definitions and Axioms of the Elements; 4. Books I to IV of the Elements; 5. Book V: The Theory of Proportion; 6. Book VI: Similar Figures; 7. Books VII, VIII, and IX: TheTheory of Numbers 8. Book X: The Classification of Incommensurables9. Books XI, XII, and XIII: Solid Geometry and the Method of Exhaustion; 10. The Merits and Defects of the Elements; 11. Other Mathematical Works by Euclid; 12. The Mathematical Work of Apollonius; 5. The Alexandrian Greek Period: Geometry and Trigonometry; 1. The Founding of Alexandria; 2. The Character of Alexandrian Greek Mathematics; 3. Areas and Volumes in the Work of Archimedes; 4. Areas and Volumes in the Work of Heron; 5. Some Exceptional Curves; 6. The Creation of Trigonometry; 7. Late Alexandrian Activity in Geometry 6. The Alexandrian Period: The Reemergence of Arithmetic and Algebra1. The Symbols and Operations of Greek Arithmetic; 2. Arithmetic and Algebra as an Independent Development; 7. The Greek Rationalization of Nature; 1. The Inspiration for Greek Mathematics; 2. The Beginnings of a Rational View of Nature; 3. The Development of the Belief in Mathematical Design; 4. Greek Mathematical Astronomy; 5. Geography; 6. Mechanics; 7. Optics; 8. Astrology; 8. The Demise of the Greek World; 1. A Review of the Greek Achievements; 2. The Limitations of Greek Mathematics 3. The Problems Bequeathed by the Greeks4. The Demise of the Greek Civilization; 9. The Mathematics of the Hindus and Arabs; 1. Early Hindu Mathematics; 2. Hindu Arithmetic and Algebra of the Period A.D. 200-1200; 3. Hindu Geometry and Trigonometry of the Period A.D. 200-1200; 4. The Arabs; 5. Arabic Arithmetic and Algebra; 6. Arabic Geometry and Trigonometry; 7. Mathematics circa 1300; 10. The Medieval Period in Europe; 1. The Beginnings of a European Civilization; 2. The Materials Available for Learning; 3. The Role of Mathematics in Early Medieval Europe; 4. The Stagnation in Mathematics 5. The First Revival of the Greek Works |
| Record Nr. | UNINA-9910815151903321 |
|
Kline Morris <1908-1992.>
|
||
| Oxford, : Oxford University Press, USA, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||