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 #  AuthorTitleAccn#YearItem Type Claims
1 Boccaletti, Dino Galileo and the Equations of Motion I10119 2016 eBook  
2 Catoni, Francesco Geometry of Minkowski Space-Time I06282 2011 eBook  
3 Boccaletti, Dino Theory of Orbits I04057 1996 eBook  
4 Boccaletti, Dino Theory of Orbits I03177 1999 eBook  
5 Dino Boccaletti Theory of orbits 015118 1999 Book  
6 Dino Boccaletti Theory of orbits: volume 1: Integrable systems and non-perturbative methods 013238 1996 Book  
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TitleGalileo and the Equations of Motion
Author(s)Boccaletti, Dino
PublicationCham, Springer International Publishing, 2016.
DescriptionXIV, 175 p. 26 illus : online resource
Abstract NoteThis book is intended as a historical and critical study on the origin of the equations of motion as established in Newton's Principia. The central question that it aims to answer is whether it is indeed correct to ascribe to Galileo the inertia principle and the law of falling bodies. In order to accomplish this task, the study begins by considering theories on the motion of bodies from classical antiquity, and especially those of Aristotle. The theories developed during the Middle Ages and the Renaissance are then reviewed, with careful analysis of the contributions of, for example, the Merton and Parisian Schools and Galileo???s immediate predecessors, Tartaglia and Benedetti. Finally, Galileo???s work is examined in detail, starting from the early writings.?? Excerpts from individual works are presented, to allow the texts to speak for themselves, and then commented upon. The book provides historical evidence both for Galileo's dependence on his forerunners and for the major breakthroughs that he achieved. It will satisfy the curiosity of all who wish to know when and why certain laws have been credited to Galileo
ISBN,Price9783319201344
Keyword(s)1. Astronomy, Observations and Techniques 2. Astronomy???Observations 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. HISTORY 7. History and Philosophical Foundations of Physics 8. HISTORY OF SCIENCE 9. Mathematical Applications in the Physical Sciences 10. MATHEMATICAL PHYSICS 11. MECHANICS 12. Observations, Astronomical 13. PHYSICS
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I10119     On Shelf    

2.     
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TitleGeometry of Minkowski Space-Time
Author(s)Catoni, Francesco;Boccaletti, Dino;Cannata, Roberto;Catoni, Vincenzo;Zampetti, Paolo
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2011.
DescriptionVIII, 116 p. 28 illus : online resource
Abstract NoteThis book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the kinematical consequences of special relativity are merely a manifestation of space-time geometry. The book is written with the intention of providing students (and teachers) of the first years of University courses with a tool which is easy to be applied and allows the solution of any problem of relativistic kinematics at the same time. The book treats in a rigorous way, but using a non-sophisticated mathematics, the Kinematics of Special Relativity. As an example, the famous "Twin Paradox" is completely solved for all kinds of motions. The novelty of the presentation in this book consists in the extensive use of hyperbolic numbers, the simplest extension of complex numbers, for a complete formalization of the kinematics in the Minkowski space-time. Moreover, from this formalization the understanding of gravity comes as a manifestation of curvature of space-time, suggesting new research fields
ISBN,Price9783642179778
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. Classical and Quantum Gravitation, Relativity Theory 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. GRAVITATION 8. MATHEMATICAL PHYSICS 9. Theoretical, Mathematical and Computational Physics
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I06282     On Shelf    

3.     
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TitleTheory of Orbits : Volume 1: Integrable Systems and Non-perturbative Methods
Author(s)Boccaletti, Dino;Pucacco, Prof. Giuseppe
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1996.
DescriptionXIII, 392 p : online resource
Abstract NoteThis textbook treats celestial mechanics as well as stellar dynamics from the common point of view of orbit theory making use of concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian mechanics and ends with the dynamics of chaotic motions. The book is meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. The first volume begins with classical mechanics and with a thorough treatment of the 2-body problem, including regularization, followed by an introduction to the N-body problem with particular attention given to the virial theorem. Then the authors discuss all important non-perturbative aspects of the 3-body problem. They end with a final chapter on integrability of Hamilton-Jacobi systems and the search for constants of motion
ISBN,Price9783662033197
Keyword(s)1. Astronomy, Observations and Techniques 2. Astronomy???Observations 3. ASTROPHYSICS 4. Astrophysics and Astroparticles 5. COMPLEX SYSTEMS 6. DYNAMICAL SYSTEMS 7. EBOOK 8. EBOOK - SPRINGER 9. GEOPHYSICS 10. Geophysics/Geodesy 11. Observations, Astronomical 12. SPACE SCIENCES 13. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) 14. STATISTICAL PHYSICS 15. Statistical Physics and Dynamical Systems
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I04057     On Shelf    

4.     
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TitleTheory of Orbits : Perturbative and Geometrical Methods
Author(s)Boccaletti, Dino;Pucacco, Giuseppe
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1999.
DescriptionXIV, 423 p. 62 illus : online resource
Abstract NoteTheory of Orbits treats celestial mechanics as well as stellar dynamics from the common point of view of orbit theory, making use of concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian mechanics and ends with the dynamics of chaotic motion. The two volumes are meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. The first three chapters of this second volume are devoted to the theory of perturbations, starting from classical problems and arriving at the KAM theory, and to the introduction of the use of the Lie transform. A whole chapter treats the theory of adiabatic invariants and its applications in celestial mechanics and stellar dynamics. Also the theory of resonances is illustrated and applications in both fields are shown. Classical and modern problems connected to periodic solutions are reviewed. The description of modern developments of the theory of chaos in conservative systems is the subject of a chapter in which an introduction is given to what happens in both near-integrable and non-integrable systems. The invaluable help provided by computers in the exploration of the long-time behaviour of dynamical systems is acknowledged in a final chapter, where some numerical algorithms and their applications both to systems with few degrees of freedom and to large N-body systems are illustrated
ISBN,Price9783662092408
Keyword(s)1. Astronomy, Observations and Techniques 2. Astronomy???Observations 3. ASTROPHYSICS 4. Astrophysics and Astroparticles 5. COMPLEX SYSTEMS 6. DYNAMICAL SYSTEMS 7. EBOOK 8. EBOOK - SPRINGER 9. GEOPHYSICS 10. Geophysics/Geodesy 11. Observations, Astronomical 12. SPACE SCIENCES 13. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) 14. STATISTICAL PHYSICS 15. Statistical Physics and Dynamical Systems
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I03177     On Shelf    

5.     
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TitleTheory of orbits : Volume 2 : Perturbative and geometrical methods
Author(s)Dino Boccaletti;Giuseppe Pucacco
PublicationBerlin, Springer-Verlag, 1999.
DescriptionVolume 2, xiv, 423p.
Series(Astronomy and astrophysics library)
ISBN,Price3-540-60355-7
Classification521.3
Keyword(s)1. CELESTIAL MECHANICS 2. CHAOS 3. ORBIT THEORY 4. PERTURBATION THEORY
Item TypeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
015118   521.3/BOC/015118  On Shelf    

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6.    
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TitleTheory of orbits: volume 1: Integrable systems and non-perturbative methods
Author(s)Dino Boccaletti;G. Pucacco
PublicationBerlin, Springer-Verlag, 1996.
Series(Astronomy and Astrophysics Library)
ISBN,Price3-540-58963-5
Classification521.3
Keyword(s)1. CELESTIAL MECHANICS 2. CHAOS 3. ORBIT THEORY 4. STELLAR DYNAMICS
Item TypeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
013238   521.3/BOC/013238  On Shelf    

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