The Theory of the Top Volume III: Perturbations. Astronomical and Geophysical Applications

ISBN-13: 9780817648251 / Twarda / 2012 / 310 str.

Klein, Felix

Opis

The Theory of the Top: Volume III. Perturbations: Astronomical and Geophysical Applications is the third installment of a series of four self-contained English translations of the classic and definitive treatment of rigid body motion. Key features: * Complete and unabridged presentation with recent advances and additional notes * Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century * Each volume interweaves theory and applications The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Gottingen University that was broadened in scope and clarified as a result of collaboration with Arnold Sommerfeld. Graduate students and researchers interested in theoretical and applied mechanics will find this a thorough and insightful account. Other volumes in this series include the Introduction to the Kinematics and Kinetics of the Top, Development of a Theory of the Heavy Symmetric Top, and Technical Applications of the Theory of the Top.

Recenzje

From the reviews:

"This third volume is devoted to the investigation of the motion of a symmetric top and is unique in that it complements the results of the previous volumes, which were of a theoretical nature, by results that are of great interest in the investigation of applied aspects of the motion of symmetric bodies. ... is of great value to specialists in analytical mechanics." (Gennady Victorovich Gorr, Mathematical Reviews, March, 2013)

Spis treści

Foreword.- Advertisement.- Chapter VII Theory and reality. The influence of friction, air resistance, and elasticity of the material and the support on the motion of the top.- Chapter VIII Applications of the theory of the top.- Part A. Astronomical Applications.- Part B. Geophysical Applications.- Addenda and Supplements.- Translators' Notes.- References.- Index.

Blurb

The Theory of the Top. Volume III. Perturbations. Astronomical and Geophysical Applications is the third in a series of four self-contained English translations of the classic and definitive treatment of rigid body motion.

Key features:

* Complete and unabridged presentation with recent advances and additional notes;

* Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century;

* Each volume interweaves theory and applications.

The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Göttingen University that was broadened in scope and clarified as a result of collaboration with Arnold Sommerfeld.  Graduate students and researchers interested in theoretical and applied mechanics will find this series of books a thorough and insightful account.  Other volumes in the series include Introduction to the Kinematics and Kinetics of the Top, Development of the Theory in the Case of the Heavy Symmetric Top, and Technical Applications of the Theory of the Top.