This book presents new insights into Leibniz’s research on planetary theory and his system of pre-established harmony. Although some aspects of this theory have been explored in the literature, others are less well known. In particular, the book offers new contributions on the connection between the planetary theory and the theory of gravitation. It also provides an in-depth discussion of Kepler’s influence on Leibniz’s planetary theory and more generally, on Leibniz’s concept of pre-established harmony. Three initial chapters presenting the mathematical and physical details of Leibniz’s works provide a frame of reference. The book then goes on to discuss research on Leibniz’s conception of gravity and the connection between Leibniz and Kepler.

This book presents new insights into Leibniz's research on planetary theory and his system of pre-established harmony. Although some aspects of this theory have been explored in the literature, others are less well known. In particular, the book offers new contributions on the connection between the planetary theory and the theory of gravitation. It also provides an in-depth discussion of Kepler's influence on Leibniz's planetary theory and, more generally, on Leibniz's concept of pre-established harmony. Three initial chapters presenting the mathematical and physical details of Leibniz's works provide a frame of reference. The book then goes on to discuss research on Leibniz's conception of gravity and the connection between Leibniz and Kepler. .

This book offers insights relevant to modern history and epistemology of physics, mathematics and, indeed, to all the sciences and engineering disciplines emerging of 19th century. This research volume is the first of a set of three Springer books on Lazare Nicolas Marguérite Carnot’s (1753–1823) remarkable work: Essay on Machines in General (Essai sur les machines en général [1783] 1786). The other two forthcoming volumes are: Principes fondamentaux de l’équilibre et du mouvement (1803) and Géométrie de position (1803). Lazare Carnot – l'organisateur de la victoire – in Essai sur le machine en général (1786) assumed that the generalization of machines was a necessity for society and its economic development. Subsequently, his new coming science applied to machines attracted considerable interest for technician, as well, already in the 1780’s. With no lack in rigour, Carnot used geometric and trigonometric rather than algebraic arguments, and usually went on to explain in words what the formulae contained. His main physical– mathematical concepts were the Geometric motion and Moment of activity–concept of Work . In particular, he found the invariants of the transmission of motion (by stating the principle of the moment of the quantity of motion) and theorized the condition of the maximum efficiency of mechanical machines (i.e., principle of continuity in the transmission of power). While the core theme remains the theories and historical studies of the text, the book contains an extensive Introduction and an accurate critical English Translation – including the parallel text edition and substantive critical/explicative notes – of Essai sur les machines en général (1786). The authors offer much-needed insight into the relation between mechanics, mathematics and engineering from a conceptual, empirical and methodological, and universalis point of view. As a cutting–edge writing by leading authorities on the history of physics and mathematics, and epistemological aspects, it appeals to historians, epistemologist–philosophers and scientists (physicists, mathematicians and applied sciences and technology).

Kant's category of reality is an often overlooked element of his Critique of Pure Reason. Tal Glezer shows that it nevertheless belongs at the core of Kant's mature critical philosophy: it captures an issue that motivated his critical turn, shaped his theory of causation, and established the role of his philosophy of science. Glezer's study traces the roots of Kant's category of reality to early modern debates over the intelligibility of substantial forms, fueled by the tension between the idea of non-extended substances and that of extended objects. This tension influenced Kant's pre-critical work, and eventually inspired his radical break towards transcendental idealism. Glezer explores the importance of reality for Kant's conceptions of cause and force, and sheds new light on his philosophy of physical science, including gravity. His book will interest scholars of Kant and of early modern philosophy, as well as historians of scientific ideas.

In 1500, speculative philosophy lay at the heart of European intellectual life; by 1700, its role was drastically diminished. The Kingdom of Darkness tells the story of this momentous transformation. Dmitri Levitin explores the structural factors behind this change: the emancipation of natural philosophy from metaphysics; theologians' growing preference for philology over philosophy; and a new conception of the limits of the human mind derived from historical and oriental scholarship, not least concerning China and Japan. In turn, he shows that the ideas of two of Europe's most famous thinkers, Pierre Bayle and Isaac Newton, were both the products of this transformation and catalysts for its success. Drawing on hundreds of sources in many languages, Levitin traces in unprecedented detail Bayle and Newton's conceptions of what Thomas Hobbes called The Kingdom of Darkness: a genealogical vision of how philosophy had corrupted the human mind. Both men sought to remedy this corruption, and their ideas helped lay the foundation for the system of knowledge that emerged in the eighteenth century.

Based on extensive primary sources, many never previously translated into English, this is the definitive account of the discovery of Pallas as it went from being classified as a new planet to reclassification as the second of a previously unknown group of celestial objects. Cunningham, a dedicated scholar of asteroids, includes a large set of newly translated correspondence as well as the many scientific papers about Pallas in addition to sections of Schroeter's 1805 book on the subject. It was Olbers who discovered Pallas, in 1802, the second of many asteroids that would be officially identified as such. From the Gold Medal offered by the Paris Academy to solve the mystery of Pallas' gravitational perturbations to Gauss' Pallas Anagram, the asteroid remained a lingering mystery to leading thinkers of the time. Representing an intersection of science, mathematics, and philosophy, the puzzle of Pallas occupied the thoughts of an amazing panorama of intellectual giants in Europe in the early 1800s.

This book assesses the origin of asteroids by analyzing the discovery of Vesta in 1807. Wilhelm Olbers, who discovered Vesta, suggested that the asteroids were the result of a primordial planet’s explosion. Cunningham studies that idea in detail through the writings of Sir David Brewster in Scotland, the era's most prolific writer about the asteroids. He also examines the link between meteorites and asteroids, revealing a synergy between Ernst Chladni, Romantic symbolism, and the music of the spheres. Vesta was a lightning rod for controversy throughout the nineteenth century with observers arguing over its size and color, and the astounding notion that it was self-luminous. It was also a major force for change, as new methods in the field of celestial mechanics were developed to study the orbital perturbations it is subject to. A large selection of private correspondence and scientific papers complete the first comprehensive historical study of Vesta ever published. With a synoptic look at the four asteroids, Ceres, Pallas, Juno and Vesta, Cunningham provides a valuable resource on asteroid origins and explains how they were integrated into the newly revealed solar system of the early nineteenth century.