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The Three-Body Problem and the Equations of Dynamics - Poincare's Foundational Work on Dynamical Systems Theory... The Three-Body Problem and the Equations of Dynamics - Poincare's Foundational Work on Dynamical Systems Theory (Hardcover, 1st ed. 2017)
Henri Poincare; Translated by Bruce D. Popp
R4,268 Discovery Miles 42 680 Ships in 12 - 19 working days

Here is an accurate and readable translation of a seminal article by Henri Poincare that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincare applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations' solutions, such as orbital resonances and horseshoe orbits. Poincare wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.

Henri Poincare: Electrons to Special Relativity - Translation of Selected Papers and Discussion (Hardcover, 1st ed. 2020):... Henri Poincare: Electrons to Special Relativity - Translation of Selected Papers and Discussion (Hardcover, 1st ed. 2020)
Bruce D. Popp
R2,907 Discovery Miles 29 070 Ships in 10 - 15 working days

Produced by an award-winning translator of Henri Poincare, this book contains translations of several seminal articles by Poincare and discusses the experimental and theoretical investigations of electrons that form their context. In the 1950s, a dispute ignited about the origin of the theory of special relativity and thrust considerable notoriety on a paper written by Henri Poincare in 1905. Accordingly, Part I presents the relevant translations of Poincare's work showing that radiation carries momentum and the covariance of the equations of electrodynamics, the continuity equation for charge, and the spacetime interval. Part II then discusses investigations by Thomson, Becquerel, and Kaufmann of electrons in diverse contexts; contributions of Abraham, Lorentz and Poincare to a theory of electrons that includes Lorentz transformations and explains the dependence of mass on velocity; and finally, Poincare's exploration of the relativity principle, electron stability, and gravitation while rejecting absolute motion (ether) and an electromagnetic origin of mass. Part III contains the 1904 article by H. A. Lorentz presenting his transformations.This book will be a fascinating read to graduate-level students, physicists, and science historians who are interested in the development of electrodynamics and the classical, relativistic theory of electrons at the beginning of the 20th century.

Henri Poincare: Electrons to Special Relativity - Translation of Selected Papers and Discussion (Paperback, 1st ed. 2020):... Henri Poincare: Electrons to Special Relativity - Translation of Selected Papers and Discussion (Paperback, 1st ed. 2020)
Bruce D. Popp
R2,876 Discovery Miles 28 760 Ships in 10 - 15 working days

Produced by an award-winning translator of Henri Poincare, this book contains translations of several seminal articles by Poincare and discusses the experimental and theoretical investigations of electrons that form their context. In the 1950s, a dispute ignited about the origin of the theory of special relativity and thrust considerable notoriety on a paper written by Henri Poincare in 1905. Accordingly, Part I presents the relevant translations of Poincare's work showing that radiation carries momentum and the covariance of the equations of electrodynamics, the continuity equation for charge, and the spacetime interval. Part II then discusses investigations by Thomson, Becquerel, and Kaufmann of electrons in diverse contexts; contributions of Abraham, Lorentz and Poincare to a theory of electrons that includes Lorentz transformations and explains the dependence of mass on velocity; and finally, Poincare's exploration of the relativity principle, electron stability, and gravitation while rejecting absolute motion (ether) and an electromagnetic origin of mass. Part III contains the 1904 article by H. A. Lorentz presenting his transformations.This book will be a fascinating read to graduate-level students, physicists, and science historians who are interested in the development of electrodynamics and the classical, relativistic theory of electrons at the beginning of the 20th century.

The Three-Body Problem and the Equations of Dynamics - Poincare's Foundational Work on Dynamical Systems Theory... The Three-Body Problem and the Equations of Dynamics - Poincare's Foundational Work on Dynamical Systems Theory (Paperback, Softcover reprint of the original 1st ed. 2017)
Henri Poincare; Translated by Bruce D. Popp
R4,102 Discovery Miles 41 020 Ships in 10 - 15 working days

Here is an accurate and readable translation of a seminal article by Henri Poincare that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincare applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations' solutions, such as orbital resonances and horseshoe orbits. Poincare wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.

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