Bruce Blackadar. K-Theory for Operator Algebras (2nd edition). MSRI Publications 5. Cambridge University Press, 1998; 300 pp. ISBN 0 521 63532 2 (paperback), £19.95.D. A. Brannan, M. E. Esplen and J. J. Gray. Geometry. Cambridge University Press, 1999; 497 pp. ISBN 0 521 59193 7 (hardback), £50; 0 521 59787 0 (paperback), £18.95.W. Bruns and J. Herzog. Cohen-Macaulay Rings. Cambridge Studies in Advanced Mathematics 39. Cambridge University Press, 1998; 453 pp. ISBN 0 521 41068 1 (hardback), £55; 0 521 56674 6 (paperback), £24.95.A. Bultheel, P. González-Vera, E. Hendriksen and O. Njåstad. Orthogonal Rational Functions. Cambridge University Press, 1999; 407 pp. ISBN 0 521 65006 2 (hardback), £37.50.J. R. García Rozas. Covers and Envelopes in the Category of Complexes of Modules. CRC Research Notes in Mathematics 407. Chapman and Hall (Baton Rouge), 1999; 137 pp. ISBN 1 58488 004 X (paperback), £29.99.Mariano Giaquinta and Stefan Hildebrandt. Calculus of Variations, I: the Lagrangian Formalism. Grundlehren der Mathematischen Wissenschaften 310. Springer-Verlag (Berlin), 1996; 475 pp. ISBN 3 540 50625 X (hardback), DM 188. Calculus of Variations, II: the Hamiltonian Formalism. Grundlehren der Mathematischen Wissenschaften 311. Springer-Verlag (Berlin), 1996; 652 pp. ISBN 3 540 57961 3 (hardback), DM 198.C. G. Gibson. Elementary Geometry of Algebraic Curves: An Undergraduate Introduction. Cambridge University Press, 1998; 250 pp. ISBN 0 521 64140 3 (hardback), £42.50; ISBN 0 521 64641 3 (paperback), £15.95.Niccolo Guicciardini. Reading the Principia: The Debate on Newton's Mathematical Methods for Natural Philosophy from 1687 to 1736. Cambridge University Press, 1999; 285 pp. ISBN 0 521 64066 0 (hardback), £50.Yoshiyuki Kitaoka. Arithmetic of Quadratic Forms. Cambridge Tracts in Mathematics 106. Cambridge University Press, 1999; 343 pp. ISBN 0 521 40475 4 (hardback), £50; 0 521 64996 X (paperback), £18.95.Paul Koosis. Introduction to Hρ Spaces (2nd edition). Cambridge

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