A History of Ancient Mathematical Astronomy (Studies in the History of Mathematics and Physical Sciences) 3 volume set - gebunden oder broschiert

EAN (ISBN-13): 9783540069959
ISBN (ISBN-10): 354006995X
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 1979
Herausgeber: Springer

Buch in der Datenbank seit 2007-06-13T02:42:48+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-03-18T15:59:30+01:00 (Berlin)
ISBN/EAN: 354006995X

ISBN - alternative Schreibweisen:
3-540-06995-X, 978-3-540-06995-9
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: neu, otto neugebauer
Titel des Buches: history ancient mathematical astronomy studies the history mathematics physical sciences, science mathematics ancient, history 2001, astro, mathematica, history volume set, mathematics and history, thebanischen, almagest, egypt late antiquity, appendices and indices figures and plates, greek, babylonian, astronomy during the roman imperial period, millennium star atlas, mathematical astronomy copernicus

---

Daten vom Verlag:

Autor/in: O. Neugebauer
Titel: Studies in the History of Mathematics and Physical Sciences; A History of Ancient Mathematical Astronomy
Verlag: Springer; Springer Berlin
1456 Seiten
Erscheinungsjahr: 2004-09-17
Berlin; Heidelberg; DE
Gedruckt / Hergestellt in Deutschland.
Gewicht: 3,210 kg
Sprache: Englisch
87,95 € (DE)

BB; Book; Hardcover, Softcover / Physik, Astronomie/Astronomie; Theoretische und mathematische Astronomie; Verstehen; astronomy; Apollonius; Astronomie; History of Mathematics; history of scholarship; Altertum /Naturwissenschaften; history of science; History; B; Mathematics and Statistics; Astronomy, Astrophysics and Cosmology; History of Mathematical Sciences; Astronomy, Observations and Techniques; Geschichte der Mathematik; Astronomie, Raum und Zeit; BC; EA

One.- § 1. Limitations.- § 2. The Major Historical Periods, An Outline.- A. The Hellenistic Period.- B. The Roman Period.- C. Indian Astronomy.- D. The Islamic Period.- E. Epilogue.- § 3. General Bibliography.- A. Source Material.- B. Modern Literature.- C. Sectional Bibliographies.- Book I The Almagest and its Direct Predecessors.- A. Spherical Astronomy.- §1 Plane Trigonometry.- 1. Chords.- 2. The Table of Chords.- 3. Examples.- 4. Summary.- §2. Spherical Trigonometry.- 1. The Menelaos Theorem.- 2. Supplementary Remarks.- §3. Equatorial and Ecliptic Coordinates.- 1. Solar Declinations.- 2. Right Ascensions.- 3. Transformation from Ecliptic to Equatorial Coordinates.- §4. Geographical Latitude; Length of Daylight.- 1. Oblique Ascensions.- 2. Symmetries.- 3. Ascensional Differences.- 4. Ortive Amplitude.- 5. Paranatellonta.- 6. Length of Daylight; Seasonal Hours.- 7. Geographical Latitude; Shadow Table.- §5. Ecliptic and Horizon Coordinates.- 1. Introductory Remarks.- 2. Angles between Ecliptic and Horizon.- 3. Ecliptic and Meridian.- 4. Ecliptic and Circles of Altitude.- 5. The Tables (Alm. II, 13).- B. Lunar Theory.- §1. Solar Theory.- 1. The Length of the Year.- 2. Mean Motion.- 3. Anomaly.- A. Eccenter and Epicycles.- B. Determination of Eccentricity and Apogee.- C. The Table for the Solar Anomaly and its Use.- §2. Equation of Time.- 1. The Formulation in the Almagest (III, 9).- 2. Examples.- 3. Proof of Ptolemy’s Rule.- 4. The Equation of Time as Function of the Solar Longitude.- §3. Theory of the Moon. First Inequality; Latitude.- 1. Introduction.- 2. Mean Motions.- 3. Period of the Lunar Anomaly.- 4. Radius and Apogee of the Epicycle.- A. Summary of the Method.- B. Numerical Data and Results.- C. Check of the Mean Anomaly; Epoch Values.- 5. The Tables for the First Inequality.- 6. Latitude.- A. Mean Motion of the Argument of Latitude.- B. Epoch Value for the Argument of Latitude.- C. The Lunar Latitude; Example.- §4. Theory of the Moon. Second Inequality.- 1. Empirical Data and Ptolemy’s Model.- 2. Determination of the Parameters.- A. Maximum Equation; Eccentricity.- B. “Inclination”.- C. Critical Remarks.- 3. Computation of the Second Inequality; Tables.- 4. Syzygies.- §5. Parallax.- 1. Introduction.- 2. The Distance of the Moon.- 3. Apparent Diameter of the Moon and of the Sun.- A. Ptolemy’s Procedure.- B. Criticism.- 4. Size and Distance of the Sun.- A. Hipparchus’ Procedure.- B. Historical Consequences.- 5. The Table for Solar and Lunar Parallax (Alm. V, 18).- 6. The Components of the Parallax.- §6. Theory of Eclipses.- 1. Determination of the Mean Syzygies.- 2. Determination of the True Syzygies.- 3. Eclipse Limits.- 4. Intervals between Eclipses.- 5. Tables (VI, 8).- 6. Area-Eclipse-Magnitudes.- 7. Angles of Inclination.- C. Planetary Theory.- §1. Introduction.- 1. General.- 2. Distances and Eccentricities.- 3. Ptolemy’s Introduction to Almagest IX.- 4. Parameters of Mean Motion.- §2. Venus.- 1. Eccentricity and Equant.- 2. Mean Motion in Anomaly. Epoch.- 3. The Observational Data.- §3. Mercury.- 1. Apogee.- 2. Eccentricity and Equant.- 3. Perigees.- 4. Mean Motion in Anomaly. Epoch.- 5. Minimum Distance and Motion of the Center of the Epicycle.- §4. The Ptolemaic Theory of the Motion of an Outer Planet.- 1. The Basic Ideas.- 2. Refinement of the Model.- 3. Determination of the Eccentricity and Apogee.- A. Eccentricity from Oppositions.- B. Approximative Solution.- C. Separation of Equant and Deferent.- D. Results.- 4. The Size of the Epicycle.- 5. Mean Motion in Anomaly.- 6. Epoch Values.- §5. Planetary Tables.- 1. The General Method.- 2. Numerical Data.- 3. Examples.- A. Ephemeris for Mars.- B. Ephemeris for Venus.- §6. Theory of Retrogradation.- 1. Stationary Points.- A. Mean Distance.- B. Maximum Distance.- C. Minimum Distance.- D. Numerical Data.- 2. Tables for Retrogradations.- A. Epicycle at Extremal Distances.- B. Epicycle at Arbitrary Distances; Tables.- C. Examples.- §7. Planetary Latitudes.- 1. The Basic Theory.- 2. Numerical Data.- A. The Outer Planets.- B. The Inner Planets.- 3. The Tables Alm. XIII, 5.- A. Outer Planets.- B. Inner Planets.- C. Extremal Latitudes.- D. Transits.- §8. Heliacal Phenomena (“Phases”).- 1. Maximum Elongations.- A. Venus.- B. Mercury.- C. The Tables (Alm. XII, 10).- 2. The “Normal Arcus Visionis”.- A. Ptolemy’s Procedure.- B. Numerical Details.- 3. Extremal Cases for Venus and Mercury.- A. Venus.- B. Mercury.- 4. The Tables (Alm. XIII, 10).- A. Example.- B. Method of Computing the Tables.- 5. The Planetary Phases in the Handy Tables and Other Sources.- D. Apollonius.- §1. Biographical Data.- §2. Equivalence of Eccenters and Epicycles.- 1. Transformation by Inversion.- 2. Lunar Theory.- §3. Planetary Motion; Stationary Points.- 1. Apollonius’ Theorem for the Stations.- 2. Empirical Data.- E. Hipparchus.- §1. Introduction.- §2. Fixed Stars. The Length of the Year.- 1. Stellar Coordinates. Catalogue of Stars.- A. Stellar Coordinates.- B. Hipparchus’ and Ptolemy’s Catalogue of Stars.- C. Catalogue of Stars. Continued.- D. Stellar Magnitudes.- 2. The Length of the Year. Precession.- A. Tropical and Sidereal Year.- B. Intercalation Cycles.- C. Constant of Precession; Trepidation.- §3. Trigonometry and Spherical Astronomy.- 1. Plane Trigonometry; Table of Chords.- 2. Spherical Astronomy.- §4. Solar Theory.- §5. The Theory of the Moon.- 1. The Fundamental Parameters.- A. Period Relations.- B. The Draconitic Month.- C. The Epicycle Radius.- 2. Eclipses.- A. Tables.- B. Eclipse Cycles and Intervals.- 3. Parallax.- 4. Size and Distance of Sun and Moon.- A. Distance of the Sun.- B. Hipparchus’ Procedure.- §6. Additional Topics.- 1. The Planets.- 2. Astrology.- 3. Geography.- A. Geographical Latitude.- B. Longitudes.- 4. Fragments.- §7. Hipparchus’ Astronomy. Summary.- Book II Babylonian Astronomy.- §1. The Decipherment of the Astronomical Texts.- §2. The Sources.- §3. Calendaric Concepts.- 1. The 19-Year Cycle.- 2. Solstices and Equinoxes.- 3. Sirius Dates.- 4. Summary.- §4. Length of Daylight.- 1. Oblique Ascensions.- 2. Length of Daylight.- §5. Solar Motion.- §6. Mathematical Methodology.- 1. System B.- 2. System A.- A. Planetary Theory.- §1. Basic Concepts.- §2. Periods and Mean Motions.- §3. System A.- §4. Dates.- §5. Subdivision of the Synodic Arc; Daily Motion.- 1. Subdivision of the Synodic Arc.- A. Jupiter.- B. Mars.- C. Mercury.- 2. Subdivision of the Synodic Time; Velocities.- A. Summary; Jupiter.- B. Mars.- 3. Daily Motion.- A. Jupiter.- B. Mercury.- §6. The Fundamental Patterns of Planetary Theory.- 1. System A.- A. Numerical Data.- B. Subdivision of the Synodic Arc.- C. Approximate Periods.- 2. System B.- 3. Historical Reminiscences.- §7. The Single Planets.- 1. Introduction.- 2. Saturn.- A. System A.- B. System B.- C. Subdivision of the Synodic Arc; Daily Motion.- 3. Jupiter.- A. System A.- B. System B.- C. Subdivision of the Synodic Arc.- D. Daily Motion.- 4. Mars.- A. Periods; System A.- B. System B.- C. Subdivision of the Synodic Arc; Retrogradation.- 5. Venus.- A. Periods.- B. Ephemerides.- 6. Mercury.- A. Periods.- B. System A1 to A3.- B. Lunar Theory.- §1. Introduction.- §2. Lunar Velocity.- 1. System B.- 2. System A.- 3. Daily Motion.- 4. Summary.- §3. The Length of the Synodic Months.- 1. System B, Column G.- 2. System A, Columns ? and G.- A. The Function ?.- B. Column G near the Extrema.- C. The Function G.- 3. System A, Column J.- 4. System A, Columns C’, K, and M.- 5. System B, Columns H to M.- A. Summary.- B. Columns Hand J.- C. Column M.- §4. The “Saros” and Column ?.- 1. The Functions ?* and F*.- 2. The Saros.- 3. ?, Friends and Relations.- A. Summary.- B. Mathematical Methodology.- C. Numerical Details.- §5. Lunar Latitude.- 1. Retrogradation of the Lunar Nodes.- 2. System A, Column E.- 3. The Saros.- 4. Other Latitude Functions.- §6. Eclipse Magnitudes.- 1. System A.- 2. System B.- §7. Eclipse Tables.- §8. Solar Mean Motion and Length of Year.- §9. Variable Solar Velocity.- 1. Type A and B.- 2. System A and A?.- 3. System B.- §10. Visibility.- 1. The Date of the Syzygies.- 2. First Visibility.- 3. Last Visibility and Full Moons.- 4. Visibility Conditions.- C. Early Babylonian Astronomy.- §1. Calendaric Data, Celestial Coordinates.- §2. The Moon.- §3. The Planets.