Classical and Quantum Models and Arithmetic Problems
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Classical and Quantum Models and Arithmetic Problems: (Lecture Notes in Pure and Applied Mathematics)

Classical and Quantum Models and Arithmetic Problems: (Lecture Notes in Pure and Applied Mathematics)


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About the Book

Here is an unsurpassed resource-important accounts of a variety of dynamic systems topics related to number theory. Twelve distinguished mathematicians present a rare complete analyticsolution of a geodesic quantum problem on a negatively curved surface...and explicit determination of modular function growth near a real point applications of number theory to dynamical systems and applications of mathematical physics to number theory...tributes to the often-unheralded pioneers in the field... an examination of completely integrableand exactly solvable physical models .. . and much more! Classical and Quantum Models and Arithmetic Problems is certainly a major source of information, advancing the studies of number theorists, algebraists, and mathematical physicistsinterested in complex mathematical properties of quantum field theory, statistical mechanics,and dynamic systems. Moreover, the volume is a superior source of supplementary readingfor graduate-level courses in dynamic systems and application of number theory.

Table of Contents:
Geometrical and Electrical Properties of Some Julia Sets. Mathematical Microcosm of Geodesics, Free Groups, and Markoff Forms. Note on Eisenstein's System of Differential Equations: An Example of Exactly Solvable but Not Completely Integrable System of Differential Equations. Some Remarks on Theta Functions and S-Matrices. Recurrences, Pade Approximations and Their Applications. Harmonic Oscillators at Low Energies. The Quantization of a Classically Ergodic System. Diophantine Approximation of Complex Numbers. Trajectories on Reimann Surfaces. On the Analytic Structure of Dynamical Systems: Painleve Revisited.

About the Author :
David Chudnovsky is a Research Scientist inthe Department of Mathematics at Columbia University in New York City, where he has served since 1978.


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Product Details
  • ISBN-13: 9780824718251
  • Publisher: Taylor & Francis Inc
  • Publisher Imprint: Routledge
  • Height: 280 mm
  • No of Pages: 480
  • Weight: 890 gr
  • ISBN-10: 0824718259
  • Publisher Date: 31 Jul 1984
  • Binding: Paperback
  • Language: English
  • Series Title: Lecture Notes in Pure and Applied Mathematics
  • Width: 210 mm


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Classical and Quantum Models and Arithmetic Problems: (Lecture Notes in Pure and Applied Mathematics)
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Classical and Quantum Models and Arithmetic Problems: (Lecture Notes in Pure and Applied Mathematics)
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