A Course in Mathematical Physics 1

Classical Dynamical Systems

  • Walter Thirring
  • Evans Harrell

Table of contents

  1. Front Matter
    Pages i-xii
  2. Walter Thirring, Evans Harrell
    Pages 1-7
  3. Walter Thirring, Evans Harrell
    Pages 8-75
  4. Walter Thirring, Evans Harrell
    Pages 76-141
  5. Walter Thirring, Evans Harrell
    Pages 142-184
  6. Walter Thirring, Evans Harrell
    Pages 185-234
  7. Walter Thirring, Evans Harrell
    Pages 235-250
  8. Back Matter
    Pages 251-258

About this book


This textbook presents mathematical physics in its chronological order. It originated in a four-semester course I offered to both mathematicians and physicists, who were only required to have taken the conventional intro­ ductory courses. In order to be able to cover a suitable amount of advanced materil;ll for graduate students, it was necessary to make a careful selection of topics. I decided to cover only those subjects in which one can work from the basic laws to derive physically relevant results with full mathematical rigor. Models which are not based on realistic physical laws can at most serve as illustrations of mathematical theorems, and theories whose pre­ dictions are only related to the basic principles through some uncontrollable approximation have been omitted. The complete course comprises the following one-semester lecture series: I. Classical Dynamical Systems II. Classical Field Theory III. Quantum Mechanics of Atoms and Molecules IV. Quantum Mechanics of Large Systems Unfortunately, some important branches of physics, such as the rela­ tivistic quantum theory, have not yet matured from the stage of rules for calculations to mathematically well understood disciplines, and are there­ fore not taken up. The above selection does not imply any value judgment, but only attempts to be logically and didactically consistent. General mathematical knowledge is assumed, at the level of a beginning graduate student or advanced undergraduate majoring in physics or mathe­ matics.


mathematical physics

Authors and affiliations

  • Walter Thirring
    • 1
  • Evans Harrell
    • 2
  1. 1.Institute for Theoretical PhysicsUniversity of ViennaAustria
  2. 2.Massachusetts Institute of TechnologyCambridgeUSA

Bibliographic information