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Sources and Studies in the History of Mathematics and Physical Sciences
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2196-8810
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Documentos disponibles dentro de esta colección (5)
Refinar búsquedaJan de Witt’s Elementa Curvarum Linearum / SpringerLink (Online service) ; Grootendorst, Albert W ; Jan Aarts ; Miente Bakker ; Erné, Reinie (2010)
Título : Jan de Witt’s Elementa Curvarum Linearum : Liber Secundus Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Grootendorst, Albert W ; Jan Aarts ; Miente Bakker ; Erné, Reinie Editorial: London : Springer London Fecha de publicación: 2010 Colección: Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810 Número de páginas: XII, 320 p Il.: online resource ISBN/ISSN/DL: 978-0-85729-142-4 Idioma : Inglés (eng) Palabras clave: Mathematics Geometry History of Mathematical Sciences Clasificación: 51 Matemáticas Resumen: - Following on from the 2000 edition of Jan De Witt’s Elementa Curvarum Linearum, Liber Primus, this book provides the accompanying translation of the second volume of Elementa Curvarum Linearum (Foundations of Curved Lines). One of the first books to be published on Analytic Geometry, it was originally written in Latin by the Dutch statesman and mathematician Jan de Witt, soon after Descartes’ invention of the subject. - Born in 1625, Jan de Witt served with distinction as Grand Pensionary of Holland for much of his adult life. In mathematics, he is best known for his work in actuarial mathematics as well as extensive contributions to analytic geometry. - Elementa Curvarum Linearum, Liber Secondus moves forward from the construction of the familiar conic sections covered in the Liber Primus, with a discussion of problems connected with their classification; given an equation, it covers how one can recover the standard form, and additionally how one can find the equation's geometric properties. - This volume, begun by Albert Grootendorst (1924-2004) and completed after his death by Jan Aarts, Reinie Erné and Miente Bakker, is supplemented by: - annotation explaining finer points of the translation; - extensive commentary on the mathematics These features make the work of Jan de Witt broadly accessible to today’s mathematicians Nota de contenido: Summary -- Latin text and translation -- Annotations to the translation En línea: http://dx.doi.org/10.1007/978-0-85729-142-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33569 Jan de Witt’s Elementa Curvarum Linearum : Liber Secundus [documento electrónico] / SpringerLink (Online service) ; Grootendorst, Albert W ; Jan Aarts ; Miente Bakker ; Erné, Reinie . - London : Springer London, 2010 . - XII, 320 p : online resource. - (Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810) .
ISBN : 978-0-85729-142-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Geometry History of Mathematical Sciences Clasificación: 51 Matemáticas Resumen: - Following on from the 2000 edition of Jan De Witt’s Elementa Curvarum Linearum, Liber Primus, this book provides the accompanying translation of the second volume of Elementa Curvarum Linearum (Foundations of Curved Lines). One of the first books to be published on Analytic Geometry, it was originally written in Latin by the Dutch statesman and mathematician Jan de Witt, soon after Descartes’ invention of the subject. - Born in 1625, Jan de Witt served with distinction as Grand Pensionary of Holland for much of his adult life. In mathematics, he is best known for his work in actuarial mathematics as well as extensive contributions to analytic geometry. - Elementa Curvarum Linearum, Liber Secondus moves forward from the construction of the familiar conic sections covered in the Liber Primus, with a discussion of problems connected with their classification; given an equation, it covers how one can recover the standard form, and additionally how one can find the equation's geometric properties. - This volume, begun by Albert Grootendorst (1924-2004) and completed after his death by Jan Aarts, Reinie Erné and Miente Bakker, is supplemented by: - annotation explaining finer points of the translation; - extensive commentary on the mathematics These features make the work of Jan de Witt broadly accessible to today’s mathematicians Nota de contenido: Summary -- Latin text and translation -- Annotations to the translation En línea: http://dx.doi.org/10.1007/978-0-85729-142-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33569 Ejemplares
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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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Título : Pappus of Alexandria: Book 4 of the Collection Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Sefrin-Weis, Heike Editorial: London : Springer London Fecha de publicación: 2010 Otro editor: Imprint: Springer Colección: Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810 Número de páginas: XXXII, 328 p. 101 illus Il.: online resource ISBN/ISSN/DL: 978-1-84996-005-2 Idioma : Inglés (eng) Palabras clave: Mathematics Geometry History of Mathematical Sciences Clasificación: 51 Matemáticas Resumen: Although not so well known today, Book 4 of Pappus’ Collection is one of the most important and influential mathematical texts from antiquity, both because of its content and because of its impact on early modern mathematics after 1600. As a kind of textbook in anthology format, the mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems – for example, it discusses all three of the famous ancient problems in geometry: squaring the circle; doubling the cube; and trisecting an angle – varying solution strategies, and the different mathematical styles within ancient geometry. This volume provides an English translation of Collection 4, in full, for the first time, including: a new edition of the Greek text, based on a fresh transcription from the main manuscript and offering an alternative to Hultsch’s standard edition; notes to facilitate understanding of the steps in the mathematical argument; a commentary highlighting aspects of the work that have so far been neglected, and supporting the reconstruction of a coherent plan and vision within the work; bibliographical references for further study. Historians of mathematics will find it useful for scholarly work on ancient geometry and its reception in the early modern era and it will also serve as a source book for exemplary arguments in ancient geometry. Pappus himself probably intended Collection 4 to be an introductory survey of the classical geometrical tradition – from the point of view of mathematical methods and strategies – for readers that had a basic training in elementary geometry (Elements I – VI). Likewise, this edition can be used as a textbook in advanced undergraduate and graduate courses on the history of ancient geometry Nota de contenido: Greek Text and Annotated Translation -- Greek Text -- Annotated Translation of Collectio IV -- Commentary -- Plane Geometry, Apollonian Style -- Plane Geometry, Apollonian Style -- Plane Geometry, Archaic Style -- Plane Geometry, Archimedean -- Motion Curves and Symptoma-Mathematics -- Meta-theoretical Passage -- Angle Trisection -- General Angle Division -- Quadratrix, Rectification Property -- Analysis for an Archimedean Neusis En línea: http://dx.doi.org/10.1007/978-1-84996-005-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33653 Pappus of Alexandria: Book 4 of the Collection [documento electrónico] / SpringerLink (Online service) ; Sefrin-Weis, Heike . - London : Springer London : Imprint: Springer, 2010 . - XXXII, 328 p. 101 illus : online resource. - (Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810) .
ISBN : 978-1-84996-005-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Geometry History of Mathematical Sciences Clasificación: 51 Matemáticas Resumen: Although not so well known today, Book 4 of Pappus’ Collection is one of the most important and influential mathematical texts from antiquity, both because of its content and because of its impact on early modern mathematics after 1600. As a kind of textbook in anthology format, the mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems – for example, it discusses all three of the famous ancient problems in geometry: squaring the circle; doubling the cube; and trisecting an angle – varying solution strategies, and the different mathematical styles within ancient geometry. This volume provides an English translation of Collection 4, in full, for the first time, including: a new edition of the Greek text, based on a fresh transcription from the main manuscript and offering an alternative to Hultsch’s standard edition; notes to facilitate understanding of the steps in the mathematical argument; a commentary highlighting aspects of the work that have so far been neglected, and supporting the reconstruction of a coherent plan and vision within the work; bibliographical references for further study. Historians of mathematics will find it useful for scholarly work on ancient geometry and its reception in the early modern era and it will also serve as a source book for exemplary arguments in ancient geometry. Pappus himself probably intended Collection 4 to be an introductory survey of the classical geometrical tradition – from the point of view of mathematical methods and strategies – for readers that had a basic training in elementary geometry (Elements I – VI). Likewise, this edition can be used as a textbook in advanced undergraduate and graduate courses on the history of ancient geometry Nota de contenido: Greek Text and Annotated Translation -- Greek Text -- Annotated Translation of Collectio IV -- Commentary -- Plane Geometry, Apollonian Style -- Plane Geometry, Apollonian Style -- Plane Geometry, Archaic Style -- Plane Geometry, Archimedean -- Motion Curves and Symptoma-Mathematics -- Meta-theoretical Passage -- Angle Trisection -- General Angle Division -- Quadratrix, Rectification Property -- Analysis for an Archimedean Neusis En línea: http://dx.doi.org/10.1007/978-1-84996-005-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33653 Ejemplares
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Título : Tantrasa?graha of Nilaka??ha Somayaji Tipo de documento: documento electrónico Autores: Ramasubramanian, K ; SpringerLink (Online service) ; Sriram, M.S Editorial: London : Springer London Fecha de publicación: 2011 Colección: Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810 Número de páginas: XXX, 598 p. 173 illus., 167 illus. in color Il.: online resource ISBN/ISSN/DL: 978-0-85729-036-6 Idioma : Inglés (eng) Palabras clave: Mathematics History Observations, Astronomical Astronomy Observations of Mathematical Sciences Astronomy, and Techniques Clasificación: 51 Matemáticas Resumen: Tantrasa?graha, composed by the renowned Kerala astronomer Nilaka?tha Somayaji (c. 1444–1545 CE) ranks along with Aryabhatiya of Aryabhata and Siddhantasiromani of Bhaskaracarya as one of the major works that significantly influenced further work on astronomy in India. One of the distinguishing features of this text is the introduction of a major revision of the traditional planetary models which includes a unified theory of planetary latitudes and a better formulation of the equation of centre for the interior planets (Mercury and Venus) than was previously available. Several important innovations in mathematical technique are also to be found in Tantrasa?graha, especially related to the computation of accurate sine tables, the use of series for evaluating the sine and cosine functions, and a systematic treatment of the problems related to the diurnal motion of the celestial objects. The spherical trigonometry relations presented in the text—applied to a variety of problems such as the computation eclipses, elevation of the moon’s cusps and so forth—are also exact. In preparing the translation and explanatory notes, the authors have used authentic Sanskrit editions of Tantrasa?graha by Suranad Kunjan Pillai and K V Sarma. The text consists of eight chapters—mean londitudes, true longitues, gnomonic shadow, lunar eclipse, solar eclipse, vyatipata, reduction to observation and elevation of the moon’s cusps—and 432 verses. All the verses have been translated into English and are supplemented with detailed explanations including all mathematical relations, figures and tables using modern mathematical notation. This edition of Tantrasa?graha will appeal to historians of astronomy as well as those who are keen to know about the actual computational procedures employed in Indian astronomy. It is a self-contained text with several appendices included, enabling the reader to comprehend the subject matter without the need for further research Nota de contenido: Mean longitudes of planets -- True longitudes of planets -- Gnomonic shadow -- Lunar eclipse -- Solar eclipse -- Vyatipata -- Reduction to observation -- Elevation of lunar horns -- Appendices En línea: http://dx.doi.org/10.1007/978-0-85729-036-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33116 Tantrasa?graha of Nilaka??ha Somayaji [documento electrónico] / Ramasubramanian, K ; SpringerLink (Online service) ; Sriram, M.S . - London : Springer London, 2011 . - XXX, 598 p. 173 illus., 167 illus. in color : online resource. - (Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810) .
ISBN : 978-0-85729-036-6
Idioma : Inglés (eng)
Palabras clave: Mathematics History Observations, Astronomical Astronomy Observations of Mathematical Sciences Astronomy, and Techniques Clasificación: 51 Matemáticas Resumen: Tantrasa?graha, composed by the renowned Kerala astronomer Nilaka?tha Somayaji (c. 1444–1545 CE) ranks along with Aryabhatiya of Aryabhata and Siddhantasiromani of Bhaskaracarya as one of the major works that significantly influenced further work on astronomy in India. One of the distinguishing features of this text is the introduction of a major revision of the traditional planetary models which includes a unified theory of planetary latitudes and a better formulation of the equation of centre for the interior planets (Mercury and Venus) than was previously available. Several important innovations in mathematical technique are also to be found in Tantrasa?graha, especially related to the computation of accurate sine tables, the use of series for evaluating the sine and cosine functions, and a systematic treatment of the problems related to the diurnal motion of the celestial objects. The spherical trigonometry relations presented in the text—applied to a variety of problems such as the computation eclipses, elevation of the moon’s cusps and so forth—are also exact. In preparing the translation and explanatory notes, the authors have used authentic Sanskrit editions of Tantrasa?graha by Suranad Kunjan Pillai and K V Sarma. The text consists of eight chapters—mean londitudes, true longitues, gnomonic shadow, lunar eclipse, solar eclipse, vyatipata, reduction to observation and elevation of the moon’s cusps—and 432 verses. All the verses have been translated into English and are supplemented with detailed explanations including all mathematical relations, figures and tables using modern mathematical notation. This edition of Tantrasa?graha will appeal to historians of astronomy as well as those who are keen to know about the actual computational procedures employed in Indian astronomy. It is a self-contained text with several appendices included, enabling the reader to comprehend the subject matter without the need for further research Nota de contenido: Mean longitudes of planets -- True longitudes of planets -- Gnomonic shadow -- Lunar eclipse -- Solar eclipse -- Vyatipata -- Reduction to observation -- Elevation of lunar horns -- Appendices En línea: http://dx.doi.org/10.1007/978-0-85729-036-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33116 Ejemplares
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Título : The Selected Correspondence of L.E.J. Brouwer Tipo de documento: documento electrónico Autores: Dalen, Dirk van ; SpringerLink (Online service) Editorial: London : Springer London Fecha de publicación: 2011 Colección: Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810 Número de páginas: VIII, 532 p Il.: online resource ISBN/ISSN/DL: 978-0-85729-537-8 Idioma : Inglés (eng) Palabras clave: Mathematics Philosophy Logic History Mathematical logic Topology of Sciences and Foundations Philosophy, general Clasificación: 51 Matemáticas Resumen: L.E.J. Brouwer (1881-1966) is best known for his revolutionary ideas on topology and foundations of mathematics (intuitionism). The present collection contains a mixture of letters; university and faculty correspondence has been included, some of which shed light on the student years, and in particular on the exchange of letters with his PhD adviser, Korteweg. Acting as the natural sequel to the publication of Brouwer’s biography, this book provides instrumental reading for those wishing to gain a deeper understanding of Brouwer and his role in the twentieth century. Striking a good balance of biographical and scientific information, the latter deals with innovations in topology (Cantor-Schoenflies style and the new topology) and foundations. The topological period in his research is well represented in correspondence with Hilbert, Schoenflies, Poincaré, Blumenthal, Lebesgue, Baire, Koebe, and foundational topics are discussed in letters exchanged with Weyl, Fraenkel, Heyting, van Dantzig and others. There is also a large part of correspondence on matters related to the interbellum scientific politics. This book will appeal to both graduate students and researchers with an interest in topology, the history of mathematics, the foundations of mathematics, philosophy and general science Nota de contenido: Introduction -- 1900 - 1910.- 1911 - 1920.- 1921 - 1930.- 1931 - 1940.- 1941 - 1950.- 1951 - 1965.- Appendices.- List of Enclosures, Editorial Comments and Editorial -- Supplements.-Biographical information.- List of letters.- Abbreviations -- Organizations and journals En línea: http://dx.doi.org/10.1007/978-0-85729-537-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33129 The Selected Correspondence of L.E.J. Brouwer [documento electrónico] / Dalen, Dirk van ; SpringerLink (Online service) . - London : Springer London, 2011 . - VIII, 532 p : online resource. - (Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810) .
ISBN : 978-0-85729-537-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Philosophy Logic History Mathematical logic Topology of Sciences and Foundations Philosophy, general Clasificación: 51 Matemáticas Resumen: L.E.J. Brouwer (1881-1966) is best known for his revolutionary ideas on topology and foundations of mathematics (intuitionism). The present collection contains a mixture of letters; university and faculty correspondence has been included, some of which shed light on the student years, and in particular on the exchange of letters with his PhD adviser, Korteweg. Acting as the natural sequel to the publication of Brouwer’s biography, this book provides instrumental reading for those wishing to gain a deeper understanding of Brouwer and his role in the twentieth century. Striking a good balance of biographical and scientific information, the latter deals with innovations in topology (Cantor-Schoenflies style and the new topology) and foundations. The topological period in his research is well represented in correspondence with Hilbert, Schoenflies, Poincaré, Blumenthal, Lebesgue, Baire, Koebe, and foundational topics are discussed in letters exchanged with Weyl, Fraenkel, Heyting, van Dantzig and others. There is also a large part of correspondence on matters related to the interbellum scientific politics. This book will appeal to both graduate students and researchers with an interest in topology, the history of mathematics, the foundations of mathematics, philosophy and general science Nota de contenido: Introduction -- 1900 - 1910.- 1911 - 1920.- 1921 - 1930.- 1931 - 1940.- 1941 - 1950.- 1951 - 1965.- Appendices.- List of Enclosures, Editorial Comments and Editorial -- Supplements.-Biographical information.- List of letters.- Abbreviations -- Organizations and journals En línea: http://dx.doi.org/10.1007/978-0-85729-537-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33129 Ejemplares
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