The Theory of the Top. Volume II: Development of the Theory in the Case of the Heavy Symmetric Top

ISBN-13: 9780817648244 / Angielski / Twarda / 2010 / 414 str.

Felix Klein; Arnold Sommerfeld; Raymond J. Nagem

Opis

The Theory of the Top: Volume II. Development of a Theory of the Heavy Symmetric Top is the second 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 Introduction to the Kinematics and Kinetics of the Top, Perturbations: Astronomical and Geophysical Applications, and Technical Applications of the Theory of the Top."

Spis treści

Advertisement.- Volume II. Development of the Theory in the Case of the Heavy Symmetric Top.- Chapter IV. The general motion of the heavy symmetric top. Introduction to elliptic integrals.- Chapter V. On special forms of motion of the heavy symmetric top, particularly pseudoregular precession, and on the stability of motion.- Chapter VI. Representation of the motion of the top by elliptic functions.- Appendix to Chapter VI.- Addenda and Supplements.- Translators’ Notes.- References.- Index.

O autorze

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. The Theory of the Top: Volume II. Development of the Theory for the Heavy Symmetric Top is the second installment in a series of four self-contained English translations that provide insights into kinetic theory and kinematics.

Blurb

The Theory of the Top. Volume II. Development of the Theory in the Case of the Heavy Symmetric Top is the second 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 first volume established the general kinematic and kinetic foundations of the theory.  Volume II discusses the motion of the symmetric top with a fixed support point, under the influence of gravity, in all its details.  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 a thorough and insightful account.

Other works in this series include Volume I. Introduction to the Kinematics and Kinetics of the Top, Volume III. Perturbations. Astronomical and Geophysical Applications, and Volume IV. Technical Applications of the Theory of the Top.