Relevant bibliographies by topics / Newton's Principia

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Newton's Principia'

Author: Grafiati
Published: 5 June 2025
Last updated: 2 August 2025

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Journal articles on the topic "Newton's Principia"

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Pask, Colin. "Newton's Principia." Physics World 27, no. 04 (2014): 20–21. http://dx.doi.org/10.1088/2058-7058/27/04/31.

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DAVIES, E. B. "Some reflections on Newton's Principia." British Journal for the History of Science 42, no. 2 (2008): 211–24. http://dx.doi.org/10.1017/s000708740800188x.

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AbstractThis article examines the text of Principia Mathematica to discover the extent to which Newton's claims about his own contribution to it were justified. It is argued that for polemical reasons the General Scholium, written twenty-six years after the first edition, substantially misrepresented the methodology of the main body of the text. The article discusses papers of Wallis, Wren and Huygens that use the third law of motion as set out by Newton in Book 1. It also argues that Newton's use of induction is quite different from and subtler than the ‘logical’ and ‘probabilistic’ notions o
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Sapunaru, Raquel Anna, and Gabriela Fernandes. "What we think we know about newton’s principia." EDUCA - Revista Multidisciplinar em Educação 5, no. 12 (2018): 171. http://dx.doi.org/10.26568/2359-2087.2018.2859.

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In this article we examine some of the most controversial points in Newton's Principia regarding the contemporary interpretation: the assumed circularity of Definition I, the difference between vis insita and vis inertia, Law I and Law II. The main goal of this work is to offer a wider view of Newton’s writings and provide a historic philosophical approach to the physics teachers which will certainly be useful in physics teaching. We also discuss the modern terminology compared to the one used by Newton himself. Our main concern is to aid the deconstruction of preconceived ideas regarding the
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Zinsser, J. P. "Essay review: The ultimate commentary: a consideration of I. Bernard Cohen's Guide to Newton's Principia." Notes and Records of the Royal Society of London 57, no. 2 (2003): 231–38. http://dx.doi.org/10.1098/rsnr.2003.0208.

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An Essay Review of ‘Isaac Newton, The Principia: mathematical principles of natural philosophy ’, translated by I. Bernard Cohen and Anne Whitman, assisted by Julia Budenz; preceded by ‘A guide to Newton's Principia ’ by I. Bernard Cohen.
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Snobelen, Stephen D. "Mathematicians, Historians and Newton's Principia." Annals of Science 58, no. 1 (2001): 75–84. http://dx.doi.org/10.1080/000337901457704.

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Albis, Víctor S., and Luis C. Arboleda. "Newton's Principia in Latin America." Historia Mathematica 15, no. 4 (1988): 376–79. http://dx.doi.org/10.1016/0315-0860(88)90033-x.

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Densmore, Dana, and J. Bruce Brackenridge. "Newton's Principia: The Central Argument." Physics Today 49, no. 12 (1996): 58. http://dx.doi.org/10.1063/1.881594.

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Goldberg, Dorothy. "In Celebration: Newton's Principia, 1687–1987." Mathematics Teacher 80, no. 9 (1987): 711–14. http://dx.doi.org/10.5951/mt.80.9.0711.

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Three hundred years have passed since the publication in 1687 of Philosophiae Naturalis Principia Mathematica (The mathematical principles of natural philosophy). Sir Isaac Newton's great scientific treatise, commonly known as the Principia, was published in London on 5 July 1687.
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Smith, George E. "Essay Review: Chandrasekhar's Principia: Newton's Principia for the Common Reader." Journal for the History of Astronomy 27, no. 4 (1996): 353–62. http://dx.doi.org/10.1177/002182869602700405.

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Katz, Victor J., Francois De Gandt, and Curtis Wilson. "Force and Geometry in Newton's Principia." American Mathematical Monthly 105, no. 4 (1998): 386. http://dx.doi.org/10.2307/2589738.

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Dissertations / Theses on the topic "Newton's Principia"

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Fleuriot, Jacques. "A combination of geometry theorem proving and nonstandard analysis with application to Newton's principia /." London [u.a.] : Springer, 2001. http://www.loc.gov/catdir/enhancements/fy0813/2001031372-d.html.

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Fleuriot, Jacques Désiré. "A combination of geometry theorem proving and nonstandard analysis, with application to Newton's Principia." Thesis, University of Cambridge, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.624342.

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Burgio, Benedetta <1996&gt. "Sir Isaac Newton's "Principia Mathematica" and British Physico-Theological Poetry at the Turn of the Eighteenth Century." Master's Degree Thesis, Università Ca' Foscari Venezia, 2021. http://hdl.handle.net/10579/20507.

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The turn of the eighteenth century was a time in which science and literature were not as diametrically distinct as they are today. What has been labelled the 'heroic age of science' witnessed extraordinary advancements and transformations in natural philosophy which represented both a productive source of inspiration for poets and a powerful instrument for theologians. These fields conflated into physico-theology, the branch of natural philosophy that employed the new science to demonstrate the existence and attributes of God, and that was often given expression in poetry. The purpose of the
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Slowik, Claude. "Le livre II des Principia, les principes à l’épreuve de leur passage sur terre." Thesis, Lille 3, 2014. http://www.theses.fr/2014LIL30006/document.

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Le livre : Principia Mathematica Philosophiae Naturalis (1687) de Isaac Newton constitue pour la science moderne un texte fondateur. Le corps de cet ouvrage est constitué de trois parties principales appelées livres. Parmi ces trois livres, les livres I et III consacrés principalement à l'étude du cosmos ont fait l'objet de nombreuses études. Le livre II consacré à l'étude de la résistance au mouvement des milieux fluides a été quelque peu délaissé et même dévalorisé par l'historiographie. Dans le livre II Newton détourne son regard du ciel et le porte sur terre. L'étude de cette partie des Pr
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Martins, Tiberio Bittencourt de Oliveira. "Newton's methods under the majorant principle on Riemannian manifolds." Universidade Federal de Goiás, 2015. http://repositorio.bc.ufg.br/tede/handle/tede/4847.

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Submitted by Cláudia Bueno (claudiamoura18@gmail.com) on 2015-10-29T19:04:41Z No. of bitstreams: 2 Tese - Tiberio Bittencourt de Oliveira Martins.pdf: 1155588 bytes, checksum: add1eac74c4397efc29678341b834448 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2015-11-03T14:25:04Z (GMT) No. of bitstreams: 2 Tese - Tiberio Bittencourt de Oliveira Martins.pdf: 1155588 bytes, checksum: add1eac74c4397efc29678341b834448 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b8630
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Oliveira, Mohamad Nagashima de [UNIFESP]. "Uma nova ciência: uma apresentação da ciência newtoniana." Universidade Federal de São Paulo (UNIFESP), 2014. http://repositorio.unifesp.br/handle/11600/39262.

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Submitted by Andrea Hayashi (deachan@gmail.com) on 2016-06-22T14:03:06Z No. of bitstreams: 1 dissertacao-mohamad-nagashima-de-oliveira.pdf: 2215743 bytes, checksum: 112ebd6cf914950bfdf80ed3727aa750 (MD5)<br>Approved for entry into archive by Andrea Hayashi (deachan@gmail.com) on 2016-06-22T14:03:38Z (GMT) No. of bitstreams: 1 dissertacao-mohamad-nagashima-de-oliveira.pdf: 2215743 bytes, checksum: 112ebd6cf914950bfdf80ed3727aa750 (MD5)<br>Made available in DSpace on 2016-06-22T14:03:38Z (GMT). No. of bitstreams: 1 dissertacao-mohamad-nagashima-de-oliveira.pdf: 2215743 bytes, checksum: 112eb
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Calazans, Veronica Ferreira Bahr. "A filosofia da matemática nos Principia de Newton e suas implicações ontológicas." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/8/8133/tde-28112014-191337/.

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O programa newtoniano de matematização da natureza fornece os elementos necessários para a investigação de uma filosofia da matemática no pensamento de Isaac Newton, especialmente ao se considerar a relação entre as práticas matemáticas de Newton e Descartes. Tal relação suscita uma gama bastante ampla de problemas os quais interessam para esta pesquisa, particularmente, aqueles que dizem respeito ao realismo matemático. O que pretendemos é extrair dessa discussão aspectos relevantes da filosofia e da prática matemática de Newton, com vistas a esclarecer em que medida suas opções matemáticas o
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Barthélemy, Georges. "Concepts et methodes de la mecanique rationnelle dans les "principia" de newton." Paris 1, 1986. http://www.theses.fr/1986PA010548.

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Barthélemy, Georges. "Concepts et méthodes de la mécanique rationnelle dans les "Principia" de Newton." Lille 3 : ANRT, 1987. http://catalogue.bnf.fr/ark:/12148/cb37595753s.

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Whitney, MaryGeorge L. "Theoretical and Numerical Study of Tikhonov's Regularization and Morozov's Discrepancy Principle." Digital Archive @ GSU, 2009. http://digitalarchive.gsu.edu/math_theses/77.

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A concept of a well-posed problem was initially introduced by J. Hadamard in 1923, who expressed the idea that every mathematical model should have a unique solution, stable with respect to noise in the input data. If at least one of those properties is violated, the problem is ill-posed (and unstable). There are numerous examples of ill- posed problems in computational mathematics and applications. Classical numerical algorithms, when used for an ill-posed model, turn out to be divergent. Hence one has to develop special regularization techniques, which take advantage of an a priori informati
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Books on the topic "Newton's Principia"

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Ball, W. W. Rouse. An essay on Newton's "Principia". Martino Publishing, 2005.

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Gandt, François de. Force and geometry in Newton's Principia. Princeton University Press, 1995.

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Dana, Densmore, ed. Newton's Principia: The central argument : translation, notes, and expanded proofs. Green Lion Press, 1995.

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A, Kaminski W., ed. Isaac Newton's Philosophiae naturalis principia mathematica: 15-17 October 1987, Lublin, Poland. World Scientific, 1988.

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Dolan, Stan. Newton's laws of motion: The School Mathematics Project. Cambridge University Press, 1991.

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International Council of Associations for Science., ed. Experiments and activities on the three laws of dynamics: A teacher resource book commemorating the 300th anniversary of Newton's Principia, 1687-1987. ICASE, 1987.

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Thrower, Norman J. W. 1919-, ed. Standing on the shoulders of giants: A longer view of Newton and Halley : essays commemorating the tercentenary of Newton's Principia and the 1985-1986 return of Comet Halley. University of California Press, 1990.

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Newton's Principia. Creative Media Partners, LLC, 2022.

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Frost, Percival, and Isaac Newton. Newton's Principia. Franklin Classics, 2018.

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Schmiechen, Michael. Newton's Principia Revisited. Books on Demand GmbH, 2009.

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Book chapters on the topic "Newton's Principia"

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Fleuriot, Jacques D., and Lawrence C. Paulson. "A combination of nonstandard analysis and geometry theorem proving, with application to Newton's Principia." In Automated Deduction — CADE-15. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0054241.

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Roche, John. "Newtons Principia." In Newtons Werk. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-6223-3_3.

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Wußing, Hans. "Principia." In Isaac Newton. Vieweg+Teubner Verlag, 1990. http://dx.doi.org/10.1007/978-3-322-89821-0_9.

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Fleuriot, Jacques. "Mechanizing Newton’s Principia." In A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton’s Principia. Springer London, 2001. http://dx.doi.org/10.1007/978-0-85729-329-9_5.

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Newton, Isaac. "Newton: Principia Mathematica." In Literature and Science, 1660-1834, Part II vol 7. Routledge, 2024. http://dx.doi.org/10.4324/9781003549697-7.

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Brodetsky, S. "The “Principia,” 1687." In Sir Isaac Newton. Routledge, 2024. http://dx.doi.org/10.4324/9781003569145-8.

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Brancato, Mattia. "Christoph Pfautz as a Reviewer for the Acta Eruditorum: the Invention of a German Tradition in the Sciences." In Philosophical Reviews in German Territories (1668-1799). Firenze University Press, 2025. https://doi.org/10.36253/979-12-215-0573-3.02.

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In 1682, Otto Mencke and Christoph Pfautz founded the Acta Eruditorum, the first fully-fledged German scientific journal. In this paper, I argue that this journal had a fundamental role in shaping the narrative on the rise of the new science in the 17th century, placing Germany as the ideal intermediary between tradition and innovation. In particular, Pfautz’s review of Newton’s Principia in the Acta Eruditorum initiated the Leibniz-Newton controversy, which forced the German tradition to reconsider its role and reshape its philosophical foundations to appeal to a wider international audience.
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Brading, Katherine. "Newton’s Principia and Philosophical Mechanics." In Boston Studies in the Philosophy and History of Science. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-41041-3_9.

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Szabó, István. "Die Starrkörpermechanik in Newtons Principia." In Geschichte der mechanischen Prinzipien. Birkhäuser Basel, 1987. http://dx.doi.org/10.1007/978-3-0348-5998-1_1.

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Katz, David S. "“Moses’s Principia”: Hutchinsonianism and Newton’s Critics." In The Books of Nature and Scripture: Recent Essays on Natural Philosophy, Theology and Biblical Criticism in the Netherlands of Spinoza’s Time and the British Isles of Newton’s Time. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-3249-9_11.

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Conference papers on the topic "Newton's Principia"

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Parra Zeltzer, Victor, Jaime Huincahue Arcos, and Diana Abril Milan. "What Does Newton's Second Law Say? A Comparison between Principia and University and School Physics Texts in Chile." In 28th World Multi-Conference on Systemics, Cybernetics and Informatics. International Institute of Informatics and Cybernetics, 2024. http://dx.doi.org/10.54808/wmsci2024.01.256.

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Kee, Youngjung, and Sangjoon Shin. "Structural Dynamic Modeling for Rotating Blades Using Three-Dimensional Finite Elements." In Vertical Flight Society 71st Annual Forum & Technology Display. The Vertical Flight Society, 2015. http://dx.doi.org/10.4050/f-0071-2015-10253.

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This paper deals with the development of an analysis model capable of analyzing the structural dynamic behavior of rotating composite blades. An eighteen node solid-shell finite elements were successfully used for the analysis of blade structures undergoing large deformation. The analysis model includes the effects of transverse shear deformation, Coriolis effect and elastic couplings due to the anisotropic material behavior. Incremental total-Lagrangian approach was adopted to allow estimation on arbitrarily large rotations and displacements. The equations of motion for the finite element mod
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Bussotti, Paolo. "A NEW PERSPECTIVE ON MATHEMATICS EDUCATION COMING FROM HISTORY: THE EXAMPLE OF INTEGRAL CALCULUS." In SCIENCE AND TECHNOLOGY EDUCATION: DEVELOPING A GLOBAL PERSPECTIVE. Scientia Socialis Ltd., 2021. http://dx.doi.org/10.33225/balticste/2021.16.

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This research deals with a possible use of history of mathematics in mathematics education. In particular, history can be a fundamental element for the introduction of the concept of integral through a problem-centred and intuitive approach. Therefore, what follows is dedicated to the teaching of mathematics in the last years of secondary schools, where infinitesimal calculus is addressed. The thesis here proposed is that the resort to Archimedes’ use of exhaustion method and to Newton’s initial lemmas expounded in his Principia Mathematica are useful means to reach a genetic comprehension of
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Nie, Mingming, Bowen Li, and Shu-Wei Huang. "Dissipative soliton generation and interaction in Chimera laser cavities." In CLEO: Science and Innovations. Optica Publishing Group, 2022. http://dx.doi.org/10.1364/cleo_si.2022.stu1c.3.

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We theoretically unveil the mode-locking principle in microresonator-filtered laser cavities and predict chirped bright soliton with normal-dispersion microresonators. With ultrahigh-speed time magnifier, we experimentally observe real-time soliton rain harmonics and the first soliton Newton's cradle.
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Dittus, H. "Experimental Tests of the Equivalence Principle and Newton’s Law in Space." In GRAVITATION AND COSMOLOGY: 2nd Mexican Meeting on Mathematical and Experimental Physics. AIP, 2005. http://dx.doi.org/10.1063/1.1900510.

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Kireitseu, M. V., D. Hui, L. V. Bochkareva, I. A. Nemerenco, I. O. Nedavniy, and S. V. Eremeev. "Fundamental Rheological Modeling and Failure of Multi-Layered Nanostructured Materials." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51003.

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The principal goal of the paper is to reveal whither principal Newton’s fundamentals may give reliable explanations at examining fracture mechanics of multi-layered nanostructured coatings and composites or they should be corrected with new theories. The core of principal Newton’s fundamentals was combined with rheological modeling for describing stress-deformations of nanostructured coatings. Alumina-based or diamonds-containing composites were studied by in-situ cases. The use of indentation at micro and nanoscales with rheological models as a method for determining the fracture of multi-lay
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Chettleburgh, William, Zhishen Huang, and Ming Yan. "Fast Robust Principle Component Analysis Using Gauss-Newton Iterations." In ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2023. http://dx.doi.org/10.1109/icassp49357.2023.10096269.

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Şen, Pelin Keskin, Buse Bozkaplan, and Berra Gültekin Sınır. "Stability of Euler-Bernoulli Beams with Geometric Imperfection." In 6th International Students Science Congress. Izmir International Guest Student Association, 2022. http://dx.doi.org/10.52460/issc.2022.018.

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In this study, we have focused on slightly curved beams which can be used in various fields such as bridges, sensors, pipes, roofs etc. Beams with curvature can be classified as slightly curved or curved only. In slightly curved beams, curvature and beam’s displacement are considered in the same order. Thus, the variation of the moment of inertia due to curvature are ignored. Slightly curved beams are commonly called beams with geometric imperfection or shallow curved beams in the literature. We have discussed the geometric imperfection, in other words the slight curvature, in beam kinematics
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Zeferino Junior, Jorge Luiz de Almeida, and Maria José Ferreira da Silva. "Considerações iniciais sobre o “método da primeira e últimas razões” do Principia Matemática de Isaac Newton." In XIV Encontro Nacional de Educação Matemática. Even3, 2022. http://dx.doi.org/10.29327/1137060.484275.

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Liu, Yujiong, and Pinhas Ben-Tzvi. "Dynamic Modeling of a Quadruped With a Robotic Tail Using Virtual Work Principle." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-86048.

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For utilizing robotic tail to stabilize and maneuver a quadruped, it is important to understand the mechanism of how the tail motion influences the quadruped motion which requires obtaining an analytic dynamic model. This paper presents a systematic methodology for modeling the dynamics of a general quadruped (capable of all 6 DOF motions) with a robotic pendulum tail based on the virtual work principle. The formulation of this model is motivated by robotic tail research, it can also be used as an alternative approach to model the quadruped dynamics other than using Lagrangian and Newton-Euler
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Reports on the topic "Newton's Principia"

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Madhavan, R., M. K. Yeh, S. Kyriakides, and C. D. Babcock. L41041 Pipe Collapse Under External Pressure and Axial Tension (PUPA) Computer Program Manual. Pipeline Research Council International, Inc. (PRCI), 1987. http://dx.doi.org/10.55274/r0011342.

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PUPA is a computer program which predicts the critical loads of a long tube under external pressure and axial tension. The program takes into account the effect of inelastic material behaviour on collapse and could be used for tubes with diameter to thickness ratio as low as 10. The analysis is based on a principle of virtual work type of formulation and the resulting nonlinear equilibrium equations are solved using Newton-Raphson method. The model implemented considers a long tube under generalized plane strain conditions and uniform ovalization. Effect of initial ovality, residual stresses a
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