As enjoyable as it is important, this classic encompasses 30 years of highly original experiments and theories. Its lively expositions discuss dynamics, elasticity, sound, strength of materials, and more. 126 diagrams.
Galileo’s Dialogue Concerning the Two Chief World Systems, published in Florence in 1632, was the most proximate cause of his being brought to trial before the Inquisition. Using the dialogue form, a genre common in classical philosophical works, Galileo masterfully demonstrates the truth of the Copernican system over the Ptolemaic one, proving, for the first time, that the earth revolves around the sun. Its influence is incalculable. The Dialogue is not only one of the most important scientific treatises ever written, but a work of supreme clarity and accessibility, remaining as readable now as when it was first published. This edition uses the definitive text established by the University of California Press, in Stillman Drake’s translation, and includes a Foreword by Albert Einstein and a new Introduction by J. L. Heilbron.
An insightful companion volume to the original classic designed to bring a thorough and unique new reading of "The Hobbit" to a general audience written by the host of the popular podcast "The Tolkien Professor.O
The composition of the most remote objects brought into view by the Hubble telescope can no longer be reconciled with the nucleogenesis of standard cosmology and the alternative explanation, in terms of the Λ-Cold-Dark-Matter model, has no recognizable chemical basis. A more rational scheme, based on the chemistry and periodicity of atomic matter, opens up an exciting new interpretation of the cosmos in terms of projective geometry and general relativity. The response of atomic structure to environmental pressure predicts non-Doppler cosmical redshifts and equilibrium nucleogenesis by α-particle addition, in accord with observed periodic variation of nuclear abundance. Inferred cosmic self similarity elucidates the Bode –Titius law, general commensurability in the solar system and the occurrence of quantum phenomena on a cosmic scale. The generalized periodic function involves both matter and anti-matter in an involuted mapping to a closed projective plane. This topology ensures the same symmetrical balance in a chiral universe, wrapped around an achiral vacuum interface, without singularities. A new cosmology emerges, based on the theory of projective relativity, presented here as a translation of Veblen’s original German text. Not only does it provide a unification of gravity, electromagnetism and quantum theory, through gauge invariance, but also supports the solution of the gravitational field equations, obtained by Gödel for a rotating universe. The appearance of an Einstein–Rosen bridge as outlet from a black hole, into conjugate anti-space, accounts for globular clusters, quasars, cosmic radiation, γ-ray bursters, pulsars, radio sources and other regions of plasma activity. The effects of a multiply-connected space-time manifold on observations in an Euclidean tangent space are unpredictable and a complete re-assessment of the size and structure of the universe is indicated. The target readership includes scientists, as well as non-scientists – everybody with a scientific or philosophical interest in cosmology and, especially those cosmologists and mathematicians with the ability to recast the crude ideas presented here into appropriate mathematical models.
This scholarly and accessible study presents “a provocative new reading” of the late sixteenth- and seventeenth-century advances in scientific inquiry (Kirkus Reviews). In The Scientific Revolution, historian Steven Shapin challenges the very idea that any such a “revolution” ever took place. Rejecting the narrative that a new and unifying paradigm suddenly took hold, he demonstrates how the conduct of science emerged from a wide array of early modern philosophical agendas, political commitments, and religious beliefs. In this analysis, early modern science is shown not as a set of disembodied ideas, but as historically situated ways of knowing and doing. Shapin shows that every principle identified as the modernizing essence of science—whether it’s experimentalism, mathematical methodology, or a mechanical conception of nature—was in fact contested by sixteenth- and seventeenth-century practitioners with equal claims to modernity. Shapin argues that this contested legacy is nevertheless rightly understood as the origin of modern science, its problems as well as its acknowledged achievements. This updated edition includes a new bibliographic essay featuring the latest scholarship. “An excellent book.” —Anthony Gottlieb, New York Times Book Review
'This text shows that the study of the almost-forgotten, non-Archimedean mathematics deserves to be utilized more intently in a variety of fields within the larger domain of applied mathematics.'CHOICEThis book contains an original introduction to the use of infinitesimal and infinite numbers, namely, the Alpha-Theory, which can be considered as an alternative approach to nonstandard analysis.The basic principles are presented in an elementary way by using the ordinary language of mathematics; this is to be contrasted with other presentations of nonstandard analysis where technical notions from logic are required since the beginning. Some applications are included and aimed at showing the power of the theory.The book also provides a comprehensive exposition of the Theory of Numerosity, a new way of counting (countable) infinite sets that maintains the ancient Euclid's Principle: 'The whole is larger than its parts'. The book is organized into five parts: Alpha-Calculus, Alpha-Theory, Applications, Foundations, and Numerosity Theory.
In 1633, the Roman Inquisition condemned Galileo as a suspected heretic for defending Copernicus's hypothesis of the earth's motion and denying the scientific authority of Scripture. This book draws upon Maurice A. Finocchiaro's earlier works, especially The Galileo Affair: A Documentary History (1989), to provide a brief, new documentary history of Galileo's trial that is simultaneously the most user-friendly and inclusive available.