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Books > Science & Mathematics > Astronomy, space & time > Theoretical & mathematical astronomy
The "Tetrabiblos" of the famous astronomer and geographer Claudius Ptolemaeus (ca. 100-178 CE) of Egypt consists of four books, the title given in some manuscripts meaning 'Mathematical Treatise in Four Books', in others 'The Prognostics addressed to Syrus'. The subject is astrology, which in Ptolemy's time as down to the Renaissance was fused as a respectable science with astronomy. Translations and commentaries are few, and only three Greek texts had been printed (all in the 16th century) before the present one and the one begun by F. Boll and finished by Emilie Boer in 1940.
Our understanding of the formation of stars and planetary systems has changed greatly since the first edition of this book was published. This new edition has been thoroughly updated, and now includes material on molecular clouds, binaries, star clusters and the stellar initial mass function (IMF), disk evolution and planet formation. This book provides a comprehensive picture of the formation of stars and planetary systems, from their beginnings in cold clouds of molecular gas to their emergence as new suns with planet-forming disks. At each stage gravity induces an inward accretion of mass, and this is a central theme for the book. The author brings together current observations, rigorous treatments of the relevant astrophysics, and 150 illustrations, to clarify the sequence of events in star and planet formation. It is a comprehensive account of the underlying physical processes of accretion for graduate students and researchers.
There is a crisis in modern science that few theorists are willing to confront. In The Virtue of Heresy: Confessions of a Dissident Astronomer, renowned physicist and astronomer Hilton Ratcliffe, founding member of the Alternative Cosmology Group and co-discoverer of the CNO nuclear fusion cycle on the Sun’s surface, delivers to science aficionados his straightforward and highly compelling explanation of, and challenge to, many widely-held scientific beliefs that fall apart under scrutiny. Ratcliffe not only points out the fallacy of commonly held beliefs often promoted by the global scientific community, but, through a close (and sometimes humorous) examination of theoretical physics, presents a convincing argument for alternative theory. The heresy of which he writes—that is, our unwillingness to accept at face value all that is spooned to us by ‘the experts’—is presented not as a liability, but as a virtue essential to the progress of scientific thought.
For Akiva Jaap Vroman "a day in the infinite past" is nonsense. All the days that have elapsed belong to a past of countable days; they started on a first day a finite number of days ago. Time began this first day. It follows that an eternal past does not exist. Vroman bases his reasoning on a simple mathematical law: an infinite quantity remains the same infinite quantity if a finite quantity, however large, is subtracted from it. "On God, Space, and Time" devotes itself to this proof. "On God, Space, and Time" is rooted in the epistemological thinking of Immanuel Kant and Jean Piaget and the law of Leucippus, and draws from the somewhat disparate fields of psychology, physiology, mathematics, and physics. Vroman discusses the modern vindication of the existence of the Creator using ontological arguments, which observe the cosmos solely through our sense-perceptions and the world of space and matter. He balances this worldview with a discussion of brain chemistry and physiology in "God, Mind, and Body" showing that the world of space and matter is nothing but an interpretation made by our working mind. Vroman also describes the Spanish-based Jewish philosophers of the Middle Ages who came close to solving the Genesis-Creation contradiction, which cannot be reconciled through the external world of Greek philosophy. As we travel through time with Vroman, who ranges easily and poetically over important concepts and influential thinkers, we encounter a variety of subjects: Spinoza's new definition of God and the authority of reason in the age of Descartes, Leibniz, and Newton; Jewish idealists, such as Nachman Krochmal, Solomon L. Steinman, Solomon Formstecher, and Samuel Hirsch; the concept of space-time; and Johann Gottlieb Fichte, Arthur Schopenhauer, Max Wentscher, and Charles Darwin. He presents engaging, worthwhile discussions of futurology; the astrological world of sub-lunar events; religious eschatology, specifically the Jewish and Christian Messiah; apocalyptic revelation in psychological science, the future of the universe, God and moral virtue, the medical approach to the question of life and death, and finally, personal thoughts on religious worship and service based on reason and moral sense. "On God, Space, and Time"a valuable historical synthesis of Western thought on man's vision of God, and consequently reality. This volume will interest many, particularly those intrigued by philosophy, religion, and futurology.
The great theoretical physicist and Nobel Prize winnder, Richard Feynman, left an indelible imprint on scientific thought. On 14 March 1964 he delivered a remarkable lecture which, until now, was believed to be lost. His lecture was about a single fact, though by no means a small one. When a planet or a comet or any other body arcs through space under the influence of gravity, it traces out one of a very special set of mathematical curves, known as the conic sections. But why does nature choose to describe those, and only those, elegant geometrical constructions ? In this book Feynman's lost lecture has been reconstructed and explained in meticulous, accessible detail, together with a history of ideas of the planets' motions. It can be enjoyed by the specialist and non-specialist alike and provides us all with an invaluable insight into the mind of one of this century's greatest scientists.
Dynamical systems provide powerful methods for the study of profound properties of many-dimensional nonlinear systems. In this unique book, the authors offer a consistent geometrical treatment of observational cosmology from the concepts of the theory of dynamical systems. The dynamics of clusters of galaxies differ drastically from stellar dynamics, thus requiring a mathematical approach to large-scale problems. Since mathematical techniques are not a familiar tool in this field, a full summary of the elementary ideas of differential geometry, ergodic theory and catastrophe theory are also considered in this exploratory text. Readership: Mathematicians, astrophysicists, and cosmologists, as well as anyone interested in the many subject disciplines related to geometrical and topological aspects of the large-scale universe. |
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