## Electrodynamics from Amp re to Einstein

**Auteur:**Olivier Darrigol**ISBN:**9780198505938**Date de sortie:**2003-06-26-
**Collection:**Oxford University Press **Total Download:**1852-
**Total Read:**4235

Three quarters of a century elapsed between Ampere's definition of electrodynamics and Einstein's reform of the concepts of space and time. The two events occurred in utterly different worlds: the French Academy of Sciences of the 1820s seems very remote from the Bern Patent Office of the early 1900s, and the forces between two electric currents quite foreign to the optical synchronization of clocks. Yet Ampere's electrodynamics and Einstein's relativity are firmly connected through a historical chain involving German extensions of Ampere's work, competition with British field conceptions, Dutch synthesis, and fin de siecle criticism of the aether-matter connection. Olivier Darrigol retraces this intriguing evolution, with a physicist's attention to conceptual and instrumental developments, and with a historian's awareness of their cultural and material embeddings. This book exploits a wide range of sources, and incorporates the many important insights of other scholars. Thorough accounts are given of crucial episodes such as Faraday's redefinition of charge and current, the genesis of Maxwell's field equations, and Hertz's experiments on fast electric oscillations. Thus there emerges a vivid picture of the intellectual and instrumental variety of nineteenth-century physics. The most influential investigators worked at the crossroads between different disciplines and traditions: they did not separate theory from experiment, they frequently drew on competing traditions, and their scientific interests extended beyond physics into chemistry, mathematics, physiology, and other areas. By bringing out these important features, this book offers a tightly connected and yet sharply contrasted view of early electrodynamics. Olivier Darrigol is a Research Director at the Centre National de la Recherche Scientifique, Paris. His research focuses on the history of quantum theory and of electrodynamics.

## Michael Vey 3

**Auteur:**Richard Paul Evans**ISBN:**1442475110**Date de sortie:**2013-09-17-
**Collection:**Simon and Schuster **Total Download:**5125-
**Total Read:**3381

To stop Hatch from using the Elgen fleet to gain world power, Michael and the rest of the Electroclan must destroy the lead ship, but divisions within the Electroclan threaten the success of their operation.

## The volt the ohm and the ampere

**Auteur:**Francis Eugene Nipher**ISBN:****Date de sortie:**1888-
**Collection:** **Total Download:**3074-
**Total Read:**2718

## Andr Marie Amp re

**Auteur:**James R. Hofmann**ISBN:**9780521562201**Date de sortie:**1996-04-11-
**Collection:**Cambridge University Press **Total Download:**2243-
**Total Read:**3043

In this authoritative biography, James Hofmann examines the extraordinary life of André-Marie Ampère, who made original, significant contributions to mathematics and chemistry and is renowned for his new branch of physics - electrodynamics. A member of the Académie des Sciences, and professor at the École Polytechnique, his accomplishments are remarkable in view of his tragic personal life. One of the elite of early nineteenth-century Parisian science, yet having no formal education, he embraced the scientific optimism of the Enlightenment, and the Catholic faith. This combination of intellectual expectation and emotional spirituality made Ampère's genius both destructive and extraordinarily creative. This, the only biography available in the English language, illuminates the scientific contributions of an individual and his epoch, and provides a fascinating insight into the workings of the scientific mind.

## The Monge Amp re Equation

**Auteur:**Cristian E. Gutierrez**ISBN:**9780817641771**Date de sortie:**2001-05-11-
**Collection:**Springer Science & Business Media **Total Download:**3008-
**Total Read:**1091

The Monge-Ampère equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics. Monge-Ampère type equations have applications in the areas of differential geometry, the calculus of variations, and several optimization problems, such as the Monge-Kantorovitch mass transfer problem. This book stresses the geometric aspects of this beautiful theory, using techniques from harmonic analysis – covering lemmas and set decompositions.

## The Monge Amp re Equation

**Auteur:**Cristian Gutierrez**ISBN:**3319433741**Date de sortie:**2016-10-22-
**Collection:**Birkhäuser **Total Download:**8535-
**Total Read:**5696

Now in its second edition, this monograph explores the Monge-Ampère equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. The geometric aspects of this theory are stressed using techniques from harmonic analysis, such as covering lemmas and set decompositions. An effort is made to present complete proofs of all theorems, and examples and exercises are offered to further illustrate important concepts. Some of the topics considered include generalized solutions, non-divergence equations, cross sections, and convex solutions. New to this edition is a chapter on the linearized Monge-Ampère equation and a chapter on interior Hölder estimates for second derivatives. Bibliographic notes, updated and expanded from the first edition, are included at the end of every chapter for further reading on Monge-Ampère-type equations and their diverse applications in the areas of differential geometry, the calculus of variations, optimization problems, optimal mass transport, and geometric optics. Both researchers and graduate students working on nonlinear differential equations and their applications will find this to be a useful and concise resource.

## The Complex Monge Ampere Equation and Pluripotential Theory

**Auteur:**Sławomir Kołodziej**ISBN:**082183763X**Date de sortie:**2005-
**Collection:**American Mathematical Soc. **Total Download:**7057-
**Total Read:**6708

We collect here results on the existence and stability of weak solutions of complex Monge-Ampere equation proved by applying pluripotential theory methods and obtained in past three decades. First we set the stage introducing basic concepts and theorems of pluripotential theory. Then the Dirichlet problem for the complex Monge-Ampere equation is studied. The main goal is to give possibly detailed description of the nonnegative Borel measures which on the right hand side of the equation give rise to plurisubharmonic solutions satisfying additional requirements such as continuity, boundedness or some weaker ones. In the last part, the methods of pluripotential theory are implemented to prove the existence and stability of weak solutions of the complex Monge-Ampere equation on compact Kahler manifolds. This is a generalization of the Calabi-Yau theorem.