Books

Books : reviews

Herbert Goldstein.
Classical Mechanics.
Addison-Wesley. 1950

(read but not reviewed)

A classic textbook, enlivened by its mostly complimentary, but sometimes acidic, comments attached to the references. Some of the choicer ones are:

E. A. MILNE, Vectorial Mechanics (1948). A formidable treatis which often manages somehow to make the elegant simplicity of vector and tensor methods appear quite complicated and repellant. ...

E. T. WHITTAKER, Analytical Dynamics (1937). A well-known treatise which presents an exhaustive treatment of analytical mechanics from the older viewpoints. The development is marked, regretably, by an apparent dislike of diagrams (of which there are only four in the entire book) and of vector notation, and by a fondness for the type of pedantic mechanics problems made famous by the Cambridge Tripos examinations. ...

W. E. BYERLY, Generalized Coordinates (1913). ... The lack of an index is a deplorable defect which makes use of the book somewhat difficult.

H. JEFFREYS and B. S. JEFFREYS, Methods of Mathematical Physics, 2nd edition (1950). ... The section on Euler angles is practically unintelligible, chiefly due to a poor diagram. Heading each chapter are apt and witty quotations which add an unexpected flavour to the book!

E. T. WHITTAKER, Analytical Dynamics. ... The section on Eulerian angles is difficult to follow because of the lack of any diagram. ...

F. KLEIN and A. SOMMERFELD, Theorie des Kreisels (1897-1910). This monumental work on the theory of the top, in four volumes, has all the external appearances of the typically stolid and turgid German "Handbuch". Appearances are deceiving, however, for it is remarkably readable, despite the handicap of being written in the German language. ...

R. BECKER, Theorie der Elektrizitat, Vol II (1933). ... The style is fluent and surprisingly easy to read for a book written in German. ...

Herbert Goldstein.
Classical Mechanics: 2nd edn.
Addison-Wesley. 1980

(read but not reviewed)

The second edition of this classic textbook extends and updates its references, thereby losing a few of the choicer comments. But many of the old survive, some of the new are fun, and there is one amusing update:

E. T. WHITTAKER, Analytical Dynamics (1937). A well-known treatise which presents an exhaustive treatment of analytical mechanics from the older viewpoints. The development is marked, regretably, by an apparent dislike of diagrams (of which there are only four in the entire book) and of vector notation, and by a fondness for the type of pedantic mechanics problems made famous by the Cambridge Tripos examinations. ...

H. JEFFREYS and B. S. JEFFREYS, Methods of Mathematical Physics, 3rd edition (1972). ... The section on Euler angles is practically unintelligible, not solely because of a poor diagram. The apt and witty quotations heading each chapter are alone almost worth the price of admission. What's given for Chapter 7 is probably a misquotation but is all the more bitingly humorous for that.

J. L. SYNGE and A. SCHILD, Tensor Calculus (1949). ... Section 4.2 grudingly considers properties of tensors in flat space ...

E. T. WHITTAKER, Analytical Dynamics. ... The section on Eulerian angles is difficult to follow because of the lack of any diagram. ...

L. A. PARS, A Treatise on Analytical Dynamics (1965). A monumental trestise indeed, this looks and feels like a modern-day successor to Whittaker, in full scholarly Cambridge tradition. It is a book that, as it were, seems to wear cap and gown, and like Whittaker displays a wealth of erudition. ...

F. KLEIN and A. SOMMERFELD, Theorie des Kreisels (1897-1910). This monumental work on the theory of the top, in four volumes, has all the external appearances of the typically stolid and turgid German "Handbuch". Appearances are deceiving, however, for it is remarkably readable, despite the handicap of being written in the German language. ...

J. L. SYNGE and A. SCHILD, Tensor Calculus (1949). ... The senior author's books on relativity, both special and general, are so voluminous as to discourage the incidental reader, but that should not divert one from this text.

C. W. MISNER, K. S. THORNE, and J. A. WHEELER, Gravitation (1970). This massive treatise (1279 pages! (the pun is irresistible)) is to be praised for the great efforts made to help the reader through the maze. ...

R. HAGEDORN, Relativistic Kinematics (1963). ... The typography is directly from typescript and is abominable.

R. A. MANN, The Classical Dynamics of Particles (1974). ... The author is infatuated with group theory.