Huygens: The Man behind the Principle is the story of the great seventeenth-century Dutch mathematician and physicist Christiaan Huygens (1629–95). This comprehensive biography describes in detail how Huygens arrived at discoveries and inventions that are often wrongly ascribed to Newton. Huygens played a key role in the 'scientific revolution', and the Huygens Principle on the wave theory of light helped establish his reputation. The discovery of Saturn's rings and the invention of the pendulum clock made him so famous that he was invited to be the first director of the French Academy of Science, but his life as director teetered on the edge of powerlessness. Despite Huygens' many achievements no complete biography had previously been published in English. This book gives scientists and historians the opportunity to learn more about all aspects of Huygens' life while bringing his story to a wider audience.
This book is an introduction to the Schwinger action principle in quantum mechanics and quantum field theory, with applications to a variety of different models including Bose–Einstein condensation, the Casimir effect and trapped Fermi gases. The book begins with a brief review of the action principle in classical mechanics and classical field theory. It then moves on to quantum field theory, focusing on the effective action method. This is introduced as simply as possible by using the zero-point energy of the simple harmonic oscillator as the starting point. The book concludes with a more complete definition of the effective action, and demonstrates how the provisional definition used earlier is the first term in the systematic loop expansion. The renormalization of interacting scalar field theory is presented to two-loop order. This book will interest graduate students and researchers in theoretical physics who are familiar with quantum mechanics.
This book introduces new methods in the theory of partial differential equations derivable from a Lagrangian. These methods constitute, in part, an extension to partial differential equations of the m
The common cause principle says that every correlation is either due to a direct causal effect linking the correlated entities or is brought about by a third factor, a so-called common cause. The principle is of central importance in the philosophy of science, especially in causal explanation, causal modeling and in the foundations of quantum physics. Written for philosophers of science, physicists and statisticians, this book contributes to the debate over the validity of the common cause principle, by proving results that bring to the surface the nature of explanation by common causes. It provides a technical and mathematically rigorous examination of the notion of common cause, providing an analysis not only in terms of classical probability measure spaces, which is typical in the available literature, but in quantum probability theory as well. The authors provide numerous open problems to further the debate and encourage future research in this field.
Huygens: The Man behind the Principle is the story of the great seventeenth-century Dutch mathematician and physicist Christiaan Huygens (1629–95). This comprehensive biography describes in detail how Huygens arrived at discoveries and inventions that are often wrongly ascribed to Newton. Huygens played a key role in the 'scientific revolution', and the Huygens Principle on the wave theory of light helped establish his reputation. The discovery of Saturn's rings and the invention of the pendulum clock made him so famous that he was invited to be the first director of the French Academy of Science, but his life as director teetered on the edge of powerlessness. Despite Huygens' many achievements no complete biography had previously been published in English. This book gives scientists and historians the opportunity to learn more about all aspects of Huygens' life while bringing his story to a wider audience.
The question of why some people should obey others, though easily settled in neo-liberal political theory by who has the biggest gun, has yet to be answered within the liberal tradition, says Klosko (
This book is an introduction to the Schwinger action principle in quantum mechanics and quantum field theory, with applications to a variety of different models including Bose–Einstein condensation, the Casimir effect and trapped Fermi gases. The book begins with a brief review of the action principle in classical mechanics and classical field theory. It then moves on to quantum field theory, focusing on the effective action method. This is introduced as simply as possible by using the zero-point energy of the simple harmonic oscillator as the starting point. The book concludes with a more complete definition of the effective action, and demonstrates how the provisional definition used earlier is the first term in the systematic loop expansion. The renormalization of interacting scalar field theory is presented to two-loop order. This book will interest graduate students and researchers in theoretical physics who are familiar with quantum mechanics.
In this now-classic work, he clearly and systematically formulates what others thought impossible_a principle of fairness that specifies a set of conditions which grounds existing political obligation
The principles you live by today create the world you live in: if you change the principles you live by, you can change your world.In the life-changing tradition of The 7 Habits of Highly Effective P
The Principle of Sufficient Reason (PSR) says that all contingent facts must have explanation. In this 2006 volume, which was the first on the topic in the English language in nearly half a century, Alexander Pruss examines the substantive philosophical issues raised by the Principle Reason. Discussing various forms of the PSR and selected historical episodes, from Parmenides, Leibnez, and Hume, Pruss defends the claim that every true contingent proposition must have an explanation against major objections, including Hume's imaginability argument and Peter van Inwagen's argument that the PSR entails modal fatalism. Pruss also provides a number of positive arguments for the PSR, based on considerations as different as the metaphysics of existence, counterfactuals and modality, negative explanations, and the everyday applicability of the PSR. Moreover, Pruss shows how the PSR would advance the discussion in a number of disparate fields, including meta-ethics and the philosophy of mathema
The author of Tristram Shandy made frequent use of literary fragments from other writers, as part of his own style. Laurence Sterne's quotations, plagiarisms and allusions were often employed in the service of the pleonasm, or 'performed pun'. Jonathan Lamb describes Sterne's operation of the pleonasm as his 'double principle'. He sees this style not as the key to some clever puzzle whose clues we go on solving in the hope of total disclosure of meaning (as some critics have claimed); rather the opposite, that it is a consoling reminder that neither we nor the text can ever be complete. Lamb severs Sterne from the Locke tradition and frees him from the 'influence' oriented studies which have aimed to authenticate him through his borrowings. This allows us to read him as a writer eagerly exploring the turns and paradoxes of associationist thought and adapting the rhetoric of the sublime to the stutterings of ordinary speech.
In this major re-examination of Descartes's founding principle, cogito, ergo sum, Murray Miles presents a portrait of Descartes as the Father of Modern Philosophy that is very different from the stand
This book contains the previously published, updated, and new works of renowned scientist, scholar, and consultant Kakuro Amasaka. This book advances the Just-in-Time quality management strategy, brin
The legal principle of ne bis in idem restricts the possibility of a defendant being prosecuted repeatedly on the basis of the same offence, act, or facts. Although few would dispute its relevance to
Optimal control is a branch of applied mathematics that engineers need in order to optimize the operation of systems and production processes. Its application to concrete examples is often considered
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least A
