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Título : The Hill-Brown Theory of the Moon’s Motion : Its Coming-to-be and Short-lived Ascendancy (1877-1984) Tipo de documento: documento electrónico Autores: Wilson, Curtis ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2010 Colección: Sources and Studies in the History of Mathematics and Physical Sciences Número de páginas: XIV, 323 p. 9 illus., 8 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4419-5937-9 Idioma : Inglés ( eng)Palabras clave: Mathematics History Observations, Astronomical Astronomy Observations Physics of Mathematical Sciences Astronomy, and Techniques Philosophical Foundations Clasificación: 51 Matemáticas Resumen: The Hill–Brown theory of lunar motion was, from its completion in 1908 to its retirement in 1984, the most accurate model of the moon’s orbit. The mathematical, philosophical, and historical interest in the analytic solution of the lunar problem using the Hill–Brown method still engages celestial mechanicians, and is the primary focus of this work. This book, in three parts, describes three phases in the development of the modern theory and calculation of the Moon's motion. Part I explains the crisis in lunar theory in the 1870s that led G.W. Hill to lay a new foundation for an analytic solution, a preliminary orbit he called the "variational curve." Part II is devoted to E.W. Brown's completion of the new theory as a series of successive perturbations of Hill's variational curve. Part III describes the revolutionary developments in time-measurement and the determination of Earth-Moon and Earth-planet distances that led to the replacement of the Hill–Brown theory in 1984. Although some calculus and differential equations are included, the text is largely accessible without advanced knowledge in these areas. Amateurs of astronomy, as well as instructors and scholars of the general history of science, will find this book of significant interest Nota de contenido: Hill Lays the Foundation (1877–1878) -- George William Hill, Mathematician -- Lunar Theory from the 1740s to the 1870s – A Sketch -- Hill on the Motion of the Lunar Perigee -- Hill’s Variation Curve -- Early Assessments of Hill’s Lunar Theory -- Brown Completes the Theory (1892–1908), and Constructs Tables (1908–1919) -- E. W. Brown, Celestial Mechanician -- First Papers and a Book -- Initiatives Inspired by John Couch Adams’ Papers -- Further Preliminaries to the Systematic Development -- Brown’s Lunar Treatise: Theory of the Motion of the Moon; Containing a New Calculation of the Expressions for the Coordinates of the Moon in Terms of the Time -- A Solution-Procedure Without Approximations -- The “Main Problem” Solved -- Correcting for the Idealizations: The Remaining Inequalities -- Direct Planetary Perturbations of the Moon (The Adams Prize Paper) -- Indirect Planetary Perturbations of the Moon -- The Effect of the Figures of the Earth and Moon -- Perturbations of Order (?R)2 -- The Tables -- Determining the Values of the Arbitrary Constants -- Ernest W. Brown as Theorist and Computer -- Revolutionary Developments in Time-Measurement,Computing, and Data-Collection -- Tidal Acceleration, Fluctuations, and the Earth’s Variable Rotation, to 1939 -- The Quest for a Uniform Time: From Ephemeris Time to Atomic Time -- 1984: The Hill–Brown Theory is Replaced as the Basis of the Lunar Ephemerides -- The Mathematical and Philosophical Interest in an Analytic Solution of the Lunar Problem En línea: http://dx.doi.org/10.1007/978-1-4419-5937-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33622 The Hill-Brown Theory of the Moon’s Motion : Its Coming-to-be and Short-lived Ascendancy (1877-1984) [documento electrónico] / Wilson, Curtis ; SpringerLink (Online service) . - New York, NY : Springer New York, 2010 . - XIV, 323 p. 9 illus., 8 illus. in color : online resource. - (Sources and Studies in the History of Mathematics and Physical Sciences) .ISBN: 978-1-4419-5937-9

Idioma : Inglés (eng)

Palabras clave: Mathematics History Observations, Astronomical Astronomy Observations Physics of Mathematical Sciences Astronomy, and Techniques Philosophical Foundations Clasificación: 51 Matemáticas Resumen: The Hill–Brown theory of lunar motion was, from its completion in 1908 to its retirement in 1984, the most accurate model of the moon’s orbit. The mathematical, philosophical, and historical interest in the analytic solution of the lunar problem using the Hill–Brown method still engages celestial mechanicians, and is the primary focus of this work. This book, in three parts, describes three phases in the development of the modern theory and calculation of the Moon's motion. Part I explains the crisis in lunar theory in the 1870s that led G.W. Hill to lay a new foundation for an analytic solution, a preliminary orbit he called the "variational curve." Part II is devoted to E.W. Brown's completion of the new theory as a series of successive perturbations of Hill's variational curve. Part III describes the revolutionary developments in time-measurement and the determination of Earth-Moon and Earth-planet distances that led to the replacement of the Hill–Brown theory in 1984. Although some calculus and differential equations are included, the text is largely accessible without advanced knowledge in these areas. Amateurs of astronomy, as well as instructors and scholars of the general history of science, will find this book of significant interest Nota de contenido: Hill Lays the Foundation (1877–1878) -- George William Hill, Mathematician -- Lunar Theory from the 1740s to the 1870s – A Sketch -- Hill on the Motion of the Lunar Perigee -- Hill’s Variation Curve -- Early Assessments of Hill’s Lunar Theory -- Brown Completes the Theory (1892–1908), and Constructs Tables (1908–1919) -- E. W. Brown, Celestial Mechanician -- First Papers and a Book -- Initiatives Inspired by John Couch Adams’ Papers -- Further Preliminaries to the Systematic Development -- Brown’s Lunar Treatise: Theory of the Motion of the Moon; Containing a New Calculation of the Expressions for the Coordinates of the Moon in Terms of the Time -- A Solution-Procedure Without Approximations -- The “Main Problem” Solved -- Correcting for the Idealizations: The Remaining Inequalities -- Direct Planetary Perturbations of the Moon (The Adams Prize Paper) -- Indirect Planetary Perturbations of the Moon -- The Effect of the Figures of the Earth and Moon -- Perturbations of Order (?R)2 -- The Tables -- Determining the Values of the Arbitrary Constants -- Ernest W. Brown as Theorist and Computer -- Revolutionary Developments in Time-Measurement,Computing, and Data-Collection -- Tidal Acceleration, Fluctuations, and the Earth’s Variable Rotation, to 1939 -- The Quest for a Uniform Time: From Ephemeris Time to Atomic Time -- 1984: The Hill–Brown Theory is Replaced as the Basis of the Lunar Ephemerides -- The Mathematical and Philosophical Interest in an Analytic Solution of the Lunar Problem En línea: http://dx.doi.org/10.1007/978-1-4419-5937-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33622 ## Ejemplares

Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Einstein and the Changing Worldviews of Physics / SpringerLink (Online service) ; Lehner, Christoph ; Renn, Jürgen ; Schemmel, Matthias (2012)

Título : Einstein and the Changing Worldviews of Physics Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Lehner, Christoph ; Renn, Jürgen ; Schemmel, Matthias Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2012 Colección: Einstein Studies num. 12 Número de páginas: XII, 363 p. 21 illus., 5 illus. in color Il.: online resource ISBN/ISSN/DL: 978-0-8176-4940-1 Idioma : Inglés ( eng)Palabras clave: Mathematics History Mathematical physics Gravitation Astronomy Astrophysics Cosmology Physics of Sciences Classical and Quantum Gravitation, Relativity Theory Astronomy, Philosophical Foundations Clasificación: 51 Matemáticas Resumen: This volume reviews conceptual conflicts at the foundations of physics now and in the past century. The focus is on the conditions and consequences of Einstein’s pathbreaking achievements that sealed the decline of the classical notions of space, time, radiation, and matter, and resulted in the theory of relativity. Particular attention is paid to the implications of conceptual conflicts for scientific views of the world at large, thus providing the basis for a comparison of the demise of the mechanical worldview at the turn of the 20th century with the challenges presented by cosmology at the turn of the 21st century. Throughout the work, Einstein’s contributions are not seen in isolation but instead set into the wider intellectual context of dealing with the problem of gravitation in the twilight of classical physics; the investigation of the historical development is carried out with a number of epistemological questions in mind, concerning, in particular, the transformation process of knowledge associated with the changing worldviews of physics. Einstein and the Changing Worldviews of Physics is divided into four main parts: * Part I: At the Limits of the Classical Worldview; * Part II: Contexts of the Relativity Revolution; * Part III: The Emergence of the Relativistic Worldview; * Part IV: A New Worldview in the Making. The contributions explore various aspects of the emerging relativistic views in modern physics by giving an historical, philosophical, and mathematical account of Einstein’s work, as well as the work of other distinguished physicists in the field. Taken as a whole, the book is focused on the interplay between mathematical concepts and physical ideas throughout history by studying today’s scientific world and how it continues to redefine physics in the 21st century. Contributors: A. Ashtekar, E. Battaner, J.E. Beckman, K.A. Brading, T. Dray, J. Eisenstaedt, E. Florido, H.F. Goenner, D. Kennefick, J. Renn, T.A. Ryckman, D.C. Salisbury, J.M. Sánchez-Ron, M. Schemmel, R. Schulmann, B.F. Schutz, J.M.M. Senovilla, A.T. Tolmasquim, R.M. Wald, G. Wolters Nota de contenido: Introduction -- Part I: At the Limits of the Classical Worldview -- Theories of Gravitation in the Twilight of Classical Physics -- The Newtonian Theory of Light Propagation -- Mach and Einstein, or, Clearing Troubled Waters in the History of Science -- Part II: Contexts of the Relativity Revolution -- Tilling the Seedbed of Einstein's Politics: A Pre-1905 Harbinger? -- The Early Reception of Einstein’s Relativity among British Philosophers -- Science and Ideology in Einstein's Visit to South America in 1925 -- The Reception of Einstein's Relativity Theories in Literature and the Arts (1920–1950) -- Part III: The Emergence of the Relativistic Worldview -- Hilbert’s Axiomatic Method and his "Foundations of Physics": Reconciling Causality with the Axiom of General Invariance -- Not Only Because of Theory: Dyson, Eddington and the Competing Myths of the 1919 Eclipse Expedition -- Peter Havas (1916–2004) -- Peter Bergmann and the Invention of Constrained Hamiltonian Dynamics -- Thoughts About a Conceptual Framework for Relativistic Gravity -- Part IV: A New Worldview in the Making -- Observational Tests of General Relativity: An Historical Look at Measurements Prior to the Advent of Modern Space-Borne Instruments -- Primordial Magnetic Fields and Cosmic Microwave Background -- Singularity Theorems in General Relativity: Achievements and Open Questions -- The History and Present Status of Quantum Field Theory in Curved Spacetime -- The Border Between Relativity and Quantum Theory -- The Issue of the Beginning in Quantum Gravity En línea: http://dx.doi.org/10.1007/978-0-8176-4940-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32671 Einstein and the Changing Worldviews of Physics [documento electrónico] / SpringerLink (Online service) ; Lehner, Christoph ; Renn, Jürgen ; Schemmel, Matthias . - Boston : Birkhäuser Boston, 2012 . - XII, 363 p. 21 illus., 5 illus. in color : online resource. - (Einstein Studies; 12) .ISBN: 978-0-8176-4940-1

Idioma : Inglés (eng)

Palabras clave: Mathematics History Mathematical physics Gravitation Astronomy Astrophysics Cosmology Physics of Sciences Classical and Quantum Gravitation, Relativity Theory Astronomy, Philosophical Foundations Clasificación: 51 Matemáticas Resumen: This volume reviews conceptual conflicts at the foundations of physics now and in the past century. The focus is on the conditions and consequences of Einstein’s pathbreaking achievements that sealed the decline of the classical notions of space, time, radiation, and matter, and resulted in the theory of relativity. Particular attention is paid to the implications of conceptual conflicts for scientific views of the world at large, thus providing the basis for a comparison of the demise of the mechanical worldview at the turn of the 20th century with the challenges presented by cosmology at the turn of the 21st century. Throughout the work, Einstein’s contributions are not seen in isolation but instead set into the wider intellectual context of dealing with the problem of gravitation in the twilight of classical physics; the investigation of the historical development is carried out with a number of epistemological questions in mind, concerning, in particular, the transformation process of knowledge associated with the changing worldviews of physics. Einstein and the Changing Worldviews of Physics is divided into four main parts: * Part I: At the Limits of the Classical Worldview; * Part II: Contexts of the Relativity Revolution; * Part III: The Emergence of the Relativistic Worldview; * Part IV: A New Worldview in the Making. The contributions explore various aspects of the emerging relativistic views in modern physics by giving an historical, philosophical, and mathematical account of Einstein’s work, as well as the work of other distinguished physicists in the field. Taken as a whole, the book is focused on the interplay between mathematical concepts and physical ideas throughout history by studying today’s scientific world and how it continues to redefine physics in the 21st century. Contributors: A. Ashtekar, E. Battaner, J.E. Beckman, K.A. Brading, T. Dray, J. Eisenstaedt, E. Florido, H.F. Goenner, D. Kennefick, J. Renn, T.A. Ryckman, D.C. Salisbury, J.M. Sánchez-Ron, M. Schemmel, R. Schulmann, B.F. Schutz, J.M.M. Senovilla, A.T. Tolmasquim, R.M. Wald, G. Wolters Nota de contenido: Introduction -- Part I: At the Limits of the Classical Worldview -- Theories of Gravitation in the Twilight of Classical Physics -- The Newtonian Theory of Light Propagation -- Mach and Einstein, or, Clearing Troubled Waters in the History of Science -- Part II: Contexts of the Relativity Revolution -- Tilling the Seedbed of Einstein's Politics: A Pre-1905 Harbinger? -- The Early Reception of Einstein’s Relativity among British Philosophers -- Science and Ideology in Einstein's Visit to South America in 1925 -- The Reception of Einstein's Relativity Theories in Literature and the Arts (1920–1950) -- Part III: The Emergence of the Relativistic Worldview -- Hilbert’s Axiomatic Method and his "Foundations of Physics": Reconciling Causality with the Axiom of General Invariance -- Not Only Because of Theory: Dyson, Eddington and the Competing Myths of the 1919 Eclipse Expedition -- Peter Havas (1916–2004) -- Peter Bergmann and the Invention of Constrained Hamiltonian Dynamics -- Thoughts About a Conceptual Framework for Relativistic Gravity -- Part IV: A New Worldview in the Making -- Observational Tests of General Relativity: An Historical Look at Measurements Prior to the Advent of Modern Space-Borne Instruments -- Primordial Magnetic Fields and Cosmic Microwave Background -- Singularity Theorems in General Relativity: Achievements and Open Questions -- The History and Present Status of Quantum Field Theory in Curved Spacetime -- The Border Between Relativity and Quantum Theory -- The Issue of the Beginning in Quantum Gravity En línea: http://dx.doi.org/10.1007/978-0-8176-4940-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32671 ## Ejemplares

Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Ancient Astronomical Observations and the Study of the Moon’s Motion (1691-1757) / Steele, John M (2012)

Título : Ancient Astronomical Observations and the Study of the Moon’s Motion (1691-1757) Tipo de documento: documento electrónico Autores: Steele, John M ; SpringerLink (Online service) Editorial: Boston, MA : Springer US Fecha de publicación: 2012 Colección: Sources and Studies in the History of Mathematics and Physical Sciences Número de páginas: XIV, 154 p. 13 illus Il.: online resource ISBN/ISSN/DL: 978-1-4614-2149-8 Idioma : Inglés ( eng)Palabras clave: Mathematics History Astronomy Astrophysics Cosmology Observations, Astronomical Observations Physics of Mathematical Sciences Astronomy, and Techniques Philosophical Foundations Clasificación: 51 Matemáticas Resumen: Historians of astronomy, historians of the ancient world, and astronomers will be enriched by the unique and captivating topics covered in this book. This volume contains the first detailed study of the use of ancient and medieval astronomical observations in order to investigate the moon’s secular acceleration—from its discovery by Edmond Halley to the establishment of the magnitude of the acceleration by Richard Dunthorne, Tobias Mayer and Jérôme Lalande in the 1740s and 1750s. The discovery of a gradual acceleration in the moon’s mean motion by Halley in the last decade of the seventeenth century sparked a revival of interest in reports of astronomical observations from antiquity. These observations provided the only means with which to study the moon’s ‘secular acceleration’ as this newly-discovered acceleration became known. John M. Steele tells the story of how the secular acceleration of the moon was discovered, the reception of its discovery, and the first attempts to determine its size of the acceleration from historical data. Additionally, this study addresses the wider question of how ancient and medieval astronomy was viewed in the eighteenth century; particularly European perceptions of ancient Greek, Arabic, Babylonian, and Chinese astronomy. Making extensive use of previously unstudied manuscripts, this book explores how different astronomers used the same small body of preserved ancient observations in different ways in their work on the secular acceleration. Further, the broader context of the study of the moon’s secular acceleration, including its use in debates of biblical chronology and the use of astronomy in determining geographical longitude, are examined Nota de contenido: Preface -- 1. Introduction -- 2. Edmond Halley’s Discovery of the Secular Acceleration of the Moon -- 3. A Forgotten Episode in the History of the Secular Acceleration: William Whiston, Arthur Ashley Sykes and the Eclipse of Phlegon -- 4. The Gradual Acceptance of the Existence of the Secular Acceleration During the 1740s -- 5. Eighteenth Century Views of Ancient Astronomy -- 6. The First Detailed Study of the Moon’s Secular Acceleration: Richard Dunthorne -- 7. An Integrated Approach: Tobias Mayer -- 8. The Final Synthesis: Jérôme Lalande -- 9. Epilogue -- References -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-2149-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32785 Ancient Astronomical Observations and the Study of the Moon’s Motion (1691-1757) [documento electrónico] / Steele, John M ; SpringerLink (Online service) . - Boston, MA : Springer US, 2012 . - XIV, 154 p. 13 illus : online resource. - (Sources and Studies in the History of Mathematics and Physical Sciences) .ISBN: 978-1-4614-2149-8

Idioma : Inglés (eng)

Palabras clave: Mathematics History Astronomy Astrophysics Cosmology Observations, Astronomical Observations Physics of Mathematical Sciences Astronomy, and Techniques Philosophical Foundations Clasificación: 51 Matemáticas Resumen: Historians of astronomy, historians of the ancient world, and astronomers will be enriched by the unique and captivating topics covered in this book. This volume contains the first detailed study of the use of ancient and medieval astronomical observations in order to investigate the moon’s secular acceleration—from its discovery by Edmond Halley to the establishment of the magnitude of the acceleration by Richard Dunthorne, Tobias Mayer and Jérôme Lalande in the 1740s and 1750s. The discovery of a gradual acceleration in the moon’s mean motion by Halley in the last decade of the seventeenth century sparked a revival of interest in reports of astronomical observations from antiquity. These observations provided the only means with which to study the moon’s ‘secular acceleration’ as this newly-discovered acceleration became known. John M. Steele tells the story of how the secular acceleration of the moon was discovered, the reception of its discovery, and the first attempts to determine its size of the acceleration from historical data. Additionally, this study addresses the wider question of how ancient and medieval astronomy was viewed in the eighteenth century; particularly European perceptions of ancient Greek, Arabic, Babylonian, and Chinese astronomy. Making extensive use of previously unstudied manuscripts, this book explores how different astronomers used the same small body of preserved ancient observations in different ways in their work on the secular acceleration. Further, the broader context of the study of the moon’s secular acceleration, including its use in debates of biblical chronology and the use of astronomy in determining geographical longitude, are examined Nota de contenido: Preface -- 1. Introduction -- 2. Edmond Halley’s Discovery of the Secular Acceleration of the Moon -- 3. A Forgotten Episode in the History of the Secular Acceleration: William Whiston, Arthur Ashley Sykes and the Eclipse of Phlegon -- 4. The Gradual Acceptance of the Existence of the Secular Acceleration During the 1740s -- 5. Eighteenth Century Views of Ancient Astronomy -- 6. The First Detailed Study of the Moon’s Secular Acceleration: Richard Dunthorne -- 7. An Integrated Approach: Tobias Mayer -- 8. The Final Synthesis: Jérôme Lalande -- 9. Epilogue -- References -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-2149-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32785 ## Ejemplares

Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar

Título : Between Theory and Observations : Tobias Mayer's Explorations of Lunar Motion, 1751-1755 Tipo de documento: documento electrónico Autores: Wepster, Steven ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2010 Colección: Sources and Studies in the History of Mathematics and Physical Sciences Número de páginas: XIV, 246 p. 54 illus Il.: online resource ISBN/ISSN/DL: 978-1-4419-1314-2 Idioma : Inglés ( eng)Palabras clave: Mathematics History Astronomy Astrophysics Cosmology Physics of Mathematical Sciences and Philosophical Foundations Astronomy, Clasificación: 51 Matemáticas Resumen: In the 18th century purely scientific interests as well as the practical necessities of navigation motivated the development of new theories and techniques to accurately describe celestial and lunar motion. Tobias Mayer, a German mathematician and astronomer, was among the most notable scientists of the time in the area of lunar theory. "Between Theory and Observations" presents a detailed and rigorous account of Tobias Mayer’s work; his famous contribution is his extensive set of lunar tables, which were the most accurate of their time. This book gives a complete and accurate account, not to be found elsewhere in the literature, of Tobias Mayer's important contributions to the study of lunar motion. The book highlights and examines three of Mayer's major achievements: - The computational scheme embodied in Mayer's lunar tables is examined and traced back to the scheme of Newton's 1702 lunar theory with its decidedly non-dynamical characteristics. - Mayer's dynamical lunar theory is compared to Euler's work in celestial mechanics of the same period. Evidence is presented refuting the commonly held opinion that Mayer's lunar theory was simply a modification of Euler's theory. - Mayer's technique of adjusting the coefficients of his lunar tables to fit an extensive collection of observational data is examined in detail. The scale of Mayer's effort was unprecedented and preceded the invention of the least squares method by half a century. This volume is intended for historians of mathematics and/or astronomy as well as anyone interested in the historical development of the theory of lunar motion Nota de contenido: The Quest for Lunar Theory -- The Pioneer#x2019;s Work -- A Manual to the Tables -- Theoria Lunae -- The Horrocks Legacy -- Multisteps in -- #x2018;Hausbackene Combinationen#x2019; -- Further Aspects of Model Fitting -- Concluding Observations En línea: http://dx.doi.org/10.1007/978-1-4419-1314-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33589 Between Theory and Observations : Tobias Mayer's Explorations of Lunar Motion, 1751-1755 [documento electrónico] / Wepster, Steven ; SpringerLink (Online service) . - New York, NY : Springer New York, 2010 . - XIV, 246 p. 54 illus : online resource. - (Sources and Studies in the History of Mathematics and Physical Sciences) .ISBN: 978-1-4419-1314-2

Idioma : Inglés (eng)

Palabras clave: Mathematics History Astronomy Astrophysics Cosmology Physics of Mathematical Sciences and Philosophical Foundations Astronomy, Clasificación: 51 Matemáticas Resumen: In the 18th century purely scientific interests as well as the practical necessities of navigation motivated the development of new theories and techniques to accurately describe celestial and lunar motion. Tobias Mayer, a German mathematician and astronomer, was among the most notable scientists of the time in the area of lunar theory. "Between Theory and Observations" presents a detailed and rigorous account of Tobias Mayer’s work; his famous contribution is his extensive set of lunar tables, which were the most accurate of their time. This book gives a complete and accurate account, not to be found elsewhere in the literature, of Tobias Mayer's important contributions to the study of lunar motion. The book highlights and examines three of Mayer's major achievements: - The computational scheme embodied in Mayer's lunar tables is examined and traced back to the scheme of Newton's 1702 lunar theory with its decidedly non-dynamical characteristics. - Mayer's dynamical lunar theory is compared to Euler's work in celestial mechanics of the same period. Evidence is presented refuting the commonly held opinion that Mayer's lunar theory was simply a modification of Euler's theory. - Mayer's technique of adjusting the coefficients of his lunar tables to fit an extensive collection of observational data is examined in detail. The scale of Mayer's effort was unprecedented and preceded the invention of the least squares method by half a century. This volume is intended for historians of mathematics and/or astronomy as well as anyone interested in the historical development of the theory of lunar motion Nota de contenido: The Quest for Lunar Theory -- The Pioneer#x2019;s Work -- A Manual to the Tables -- Theoria Lunae -- The Horrocks Legacy -- Multisteps in -- #x2018;Hausbackene Combinationen#x2019; -- Further Aspects of Model Fitting -- Concluding Observations En línea: http://dx.doi.org/10.1007/978-1-4419-1314-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33589 ## Ejemplares

Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar

Título : MacLaurin’s Physical Dissertations Tipo de documento: documento electrónico Autores: Tweddle, Ian ; SpringerLink (Online service) Editorial: London : Springer London Fecha de publicación: 2007 Colección: Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810 Número de páginas: VIII, 224 p Il.: online resource ISBN/ISSN/DL: 978-1-84628-776-3 Idioma : Inglés ( eng)Palabras clave: Mathematics Earth sciences Applied mathematics Engineering History Continuum physics Physics of Mathematical Sciences Applications Classical and Philosophical Foundations Sciences, general Clasificación: 51 Matemáticas Resumen: The Scottish mathematician Colin MacLaurin (1698-1746) is best known for developing and extending Newton’s work in calculus, geometry and gravitation; his 2-volume work "Treatise of Fluxions" (1742) was the first systematic exposition of Newton’s methods. It is well known that MacLaurin was awarded prizes by the Royal Academy of Sciences, Paris, for his earlier work on the collision of bodies (1724) and the tides (1740); however, the contents of these essays are less familiar – although some of the material is discussed in the Treatise of Fluxions - and the essays themselves often hard to obtain. This book presents these important works in translation for the first time, preceded by a translation of MacLaurin’s MA dissertation on gravity (Glasgow, 1713) which provides evidence of his early study of Newtonian principles. In his essentially descriptive discussion of gravity MacLaurin ranges over planetary orbits, vortices and theology. His discussion of collisions includes a disputatious account of what should be understood by the force of a moving body, a contentious topic at the time. The essay on the tides has the original version of his celebrated theorem on the equilibrium of a spheroidal fluid mass and employs a remarkable combination of geometry and calculus to determine forces of attraction. The aim is to make this material more generally accessible to researchers and students in mathematics and physics, and indeed to anyone with an interest in the historical development of these subjects. A general introduction puts the works in context and gives an outline of MacLaurin's career. Each translation is then accompanied by an introduction and a series of notes and appendices in which individual results are analysed, both in modern terms and from a historical point of view. Background material is also provided Nota de contenido: General Introduction -- General Introduction -- MacLaurin on Gravity -- to Part I -- Translation of MacLaurin’s Dissertation -- MacLaurin on Collisions -- to Part II -- Translation of MacLaurin’s Essay -- MacLaurin on the Tides -- to Part III -- Translation of MacLaurin’s Essay En línea: http://dx.doi.org/10.1007/978-1-84628-776-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34589 MacLaurin’s Physical Dissertations [documento electrónico] / Tweddle, Ian ; SpringerLink (Online service) . - London : Springer London, 2007 . - VIII, 224 p : online resource. - (Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810) .ISBN: 978-1-84628-776-3

Idioma : Inglés (eng)

Palabras clave: Mathematics Earth sciences Applied mathematics Engineering History Continuum physics Physics of Mathematical Sciences Applications Classical and Philosophical Foundations Sciences, general Clasificación: 51 Matemáticas Resumen: The Scottish mathematician Colin MacLaurin (1698-1746) is best known for developing and extending Newton’s work in calculus, geometry and gravitation; his 2-volume work "Treatise of Fluxions" (1742) was the first systematic exposition of Newton’s methods. It is well known that MacLaurin was awarded prizes by the Royal Academy of Sciences, Paris, for his earlier work on the collision of bodies (1724) and the tides (1740); however, the contents of these essays are less familiar – although some of the material is discussed in the Treatise of Fluxions - and the essays themselves often hard to obtain. This book presents these important works in translation for the first time, preceded by a translation of MacLaurin’s MA dissertation on gravity (Glasgow, 1713) which provides evidence of his early study of Newtonian principles. In his essentially descriptive discussion of gravity MacLaurin ranges over planetary orbits, vortices and theology. His discussion of collisions includes a disputatious account of what should be understood by the force of a moving body, a contentious topic at the time. The essay on the tides has the original version of his celebrated theorem on the equilibrium of a spheroidal fluid mass and employs a remarkable combination of geometry and calculus to determine forces of attraction. The aim is to make this material more generally accessible to researchers and students in mathematics and physics, and indeed to anyone with an interest in the historical development of these subjects. A general introduction puts the works in context and gives an outline of MacLaurin's career. Each translation is then accompanied by an introduction and a series of notes and appendices in which individual results are analysed, both in modern terms and from a historical point of view. Background material is also provided Nota de contenido: General Introduction -- General Introduction -- MacLaurin on Gravity -- to Part I -- Translation of MacLaurin’s Dissertation -- MacLaurin on Collisions -- to Part II -- Translation of MacLaurin’s Essay -- MacLaurin on the Tides -- to Part III -- Translation of MacLaurin’s Essay En línea: http://dx.doi.org/10.1007/978-1-84628-776-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34589 ## Ejemplares

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