Book Reviews - W. Applebaum (editor). Encyclopedia of the Scientific Revolution: Copernicus to Newton. Garland (New York-London), 2000; 793 pp. ISBN 0 8153 1503 1 (hardback), £60. - D. M. Arnold. Abelian Groups and Representations of Finite Partially Ordered Sets. CMS Books in Mathematics, 2. Springer (New York), 2000; 244 pp. ISBN 0 387 98982 X (hardback), £55. - W. Balser. Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations. Springer Universitext. Springer-Verlag (Berlin), 1999; 299 pp. ISBN 0 387 98690 1 (hardback), £32.50. - R. P. Bambah, V. C. Dumir and R. J. Hans-Gill (editors). Number Theory. Trends in Mathematics. Birkhäuser (Basel), 2000; 527 pp. ISBN 3 7643 6259 6 (hardback), £60 (approx.). - C. Bandt, S. Graf and M. Zähle. Fractal Geometry and Stochastics, II. Progress in Probability, 46. Birkhäuser (Basel), 2000; 292 pp. ISBN 3 7643 6215 4 (hardback), £43 (approx.). - R. P. Bapat. Linear Algebra and Linear Models (2nd edition). Springer Universitext. Springer-Verlag (Berlin), 2000; 138 pp. ISBN 0 387 98871 8 (hardback), £30.50. - M. B. Bekka and M. Mayer. Ergodic Theory and Topological Dynamics of Groups Actions on Homogeneous Spaces. London Mathematical Society Lecture Notes Series, 269. Cambridge University Press, 2000; 200 pp. ISBN 0 521 66030 0 (paperback), £24.95. - L. Berggren, J. Borwein and P. Borwein. Pi: a Source Book (2nd edition). Springer (New York), 2000; 736 pp. ISBN 0 387 98946 3 (hardback), £44.50 - J.-C. Birget, S. Margolis, J. Meakin and M. Sapir (editors). Algorithmic Problems in Groups and Semigroups. Trends in Mathematics. Birkhäuser (Basel), 2000; 307 pp. ISBN 0 8176 4130 0 (hardback), £50 (approx.). - P. J. Cameron. Permutation Groups. London Mathematical Society Student Texts, 45. Cambridge University Press, 1999; 220 pp. ISBN 0 521 65378 9 (paperback), £15.95. - N. L. Carothers. Real Analysis. Cambridge University Press, 2000; 401 pp. ISBN 0 521 49749 3 (hardback), £52.50; ISBN 0 521 49756 6 (paperback), £19.95. - A. Corti and M. Reid (editors). Explicit Birational Geometry of 3-folds. London Mathematical Society Lecture Notes Series, 281. Cambridge University Press, 2000; 349 pp. ISBN 0 521 63641 8 (paperback), £27.95. - R. Diestel. Graph Theory (2nd edition). Graduate Texts in Mathematics, 173. Springer (New York), 2000; 312 pp. ISBN 0 387 95014 1 (hardback), £51.50; ISBN 0 387 98976 5 (paperback), £24. - J. J. Duistermaat and J. A. C. Kolk. Lie Groups. Springer Universitext. Springer-Verlag (Berlin–Heidelberg), 2000; 344 pp. ISBN 3 540 15293 8 (paperback), £27. - J. R. Durbin. Modern Algebra, an Introduction (4th edition). John Wiley and Sons (New York), 2000; 328 pp. ISBN 0 471 32147 8 (hardback), £26.50. - L. Farina and S. Rinaldi. Positive Linear Systems: Theory and Applications. Wiley-Interscience Publication. John Wiley and Sons (New York), 2000; 305 pp. ISBN 0 471 38456 9 (hardback), £54.95. - E. Flapan. When Topology Meets Chemistry: a Topological Look at Molecular Chirality. Cambridge University Press, 2000; 241 pp. ISBN 0 521 66254 0 (hardback), £45; ISBN 0 521 66482 9 (paperback), £16.95. - M. Foreman, A. S. Kechris, A. Louveau and B. Weiss (editors). Descriptive Set Theory and Dynamical Systems. London Mathematical Society Lecture Note Series, 277. Cambridge University Press, 2000; 291 pp. ISBN 0 521 78644 4 (paperback), £27.95. - A. Hajnal and P. Hamburger. Set Theory. London Mathematical Society Student Texts, 48. Cambridge University Press, 1999; 316 pp. ISBN 0 521 59344 1 (hardback), £45; ISBN 0 521 59667 X (paperback), £16.95. - J. M. Harris, L. Hirst and M. J. Massinghoff. Combinatorics and Graph Theory. Undergraduate Texts in Mathematics. Springer (New York), 2000; 225 pp. ISBN 0 387 98736 3 (hardback), £24. - D. Haskell, A. Pillay and C. Steinhorn. Model theory, Algebra and Geometry. MSRI Publications, 39. Cambridge University Press, 2000; 227 pp. ISBN 0 521 78068 3 (hardback), £30. - H. Hauser, J. Lipman, F. Oort and A. Quirós (editors). Resolution of Singularities. Birkhäuser (Basel), 2000; 598 pp. ISBN 3 7643 6178 6 (hardback), £61 (approx.). - J. Herman, R. Kučera and J. Šimša. Equations and Inequalities: Elementary Problems in Algebra and Number Theory. CMS Books in Mathematics, 1. Springer (New York), 2000; 344 pp. ISBN 0 387 98942 0 (hardback), £48. - H. Hida. Modular Forms and Galois Cohomology. Studies in Advanced Mathematics, 69. Cambridge University Press, 2000; 343 pp. ISBN 0 521 77036 X (hardback), £42.50. - D. Howard and J. Stachel (editors). Einstein, the Formative Years 1879–1909. Einstein Studies, 8. Birkhaäser (Boston), 2000; 258 pp. ISBN 0 8176 4030 4 (hardback), £40 (approx.). - D. J. Hurley and M. A. Vandyck. Geometry, Spinors and Applications. Springer, in association with Praxis Publishing (Chichester), 2000; 369 pp. ISBN 1 85233 223 9 (hardback), £59. - P. E. Hydon. Symmetry Methods for Differential Equations, a Beginner's Guide. Cambridge Texts in Applied Mathematics. Cambridge University Press, 2000; 213 pp. ISBN 0 521 49703 5 (hardback), £50; ISBN 0 521 49786 8 (paperback), £18.95. - G. A. Jones and J. M. Jones. Information and Coding Theory. Springer Undergraduate Mathematics Series. Springer (London), 2000; 210 pp. ISBN 1 85233 622 6 (paperback), £18.95. - E. Kleinert. Units in Skew Fields. Progress in Mathematics, 186. Birkhäuser (Basel), 2000; 80 pp. ISBN 3 7643 6293 6 (hardback), £23 (approx.). - V. F. Kolchin. Random Graphs. Encyclopedia of Mathematics and its Applications, 53. Cambridge University Press, 1999; 252 pp. ISBN 0 521 44081 5 (hardback), £50. - H. Krause and C. M. Ringel (editors). Infinite Length Modules. Trends in Mathematics. Birkhäuser (Basel), 2000; 439 pp. ISBN 3 7643 6413 0 (hardback), £60 (approx.). - F. Lemmermeyer. Reciprocity Laws from Euler to Eisenstein. Springer Monographs in Mathematics, 2000; 482 pp. ISBN 3 540 66957 4 (hardback), £44.50. - Y. Meyer and B. Coifman. Wavelets, Calderon-Zygmund and Multilinear Operators. Cambridge Studies in Advanced Mathematics, 48. Cambridge University Press, 1997; 314 pp. ISBN 0 521 42001 6 (hardback), £42.50; ISBN 0 521 79473 0 (paperback), £24.95. - K. Murota. Matrices and Mat raids for Systems Analysis. Springer-Verlag (Berlin), 2000; 483 pp. ISBN 3 540 66024 0 (hardback), £65. - G. L. Naber. Topology, Geometry and Gauge Fields: Interactions. Applied Mathematical Sciences, 141. Springer (New York), 2000; 443 pp. ISBN 0 387 98947 1 (hardback), £48. - J. Neukirch, A. Schmidt and K. Wingberg. Cohomology of Number Fields. Grundlehren der mathematischen Wissenschaften, 323. Springer-Verlag (Berlin), 2000; 699 pp. ISBN 3 540 66671 0 (hardback), £61.50. - A. L. Onishchik and E. B. Vinberg (editors). Lie Groups and Lie Algebras, II. Encyclopaedia of Mathematical Sciences, 21. Springer-Verlag (Berlin-Heidelberg), 2000; 223 pp. ISBN 3 540 50585 7 (hardback), £55. - M. S. Osborne. Basic Homological Algebra. Graduate Texts in Mathematics, 196. Springer (New York), 2000; 395 pp. ISBN 0 387 98934 X (hardback), £34. - G. Peano. Geometric Calculus (trans, by L. C. Kannenberg). Birkhäuser (Basel), 2000; 150 pp. ISBN 0 8176 4126 2, 3 7643 4126 2 (hardback), £40 (approx.). - T. Peterfalvi. Character Theory for the Odd Order Theorem. Cambridge University Press, 2000; 154 pp. ISBN 0 521 64660 X (paperback), £24.95. - B. Poizat. A Course in Model Theory: an Introduction to Contemporary Mathematical Logic. Springer Universitext. Springer-Verlag (Berlin), 2000; 443 pp. ISBN 0 387 98655 3 (hardback), £41. - P. Ribenboim. My Numbers, My Friends: Popular Lectures on Number Theory. Springer (New York), 2000; 375 pp. ISBN 0 387 98911 0 (paperback), £27. - L. Ribes and P. Zalesskii. Profinite Groups. Ergebnisse der Mathematik, 40. Springer-Verlag (Berlin), 2000; 435 pp. ISBN 3 540 66986 8 (hardback), £65. - H. J. Robinson. Relation Philosophy of Mathematics, Science and Mind. Speedside Publishing (Fergus, Ont., Canada), 2000; 246 pp. ISBN 0 9690977 1 9 (paperback), £13 (approx.). - L. C. G. Rogers and D. Williams. Diffusions, Markov Processes and Martingales; Vol. 1, Foundations; Vol. 2, Itô Calculus (2nd editions). Cambridge Mathematical Library. Cambridge University Press, 2000; Vol. 1, 386 pp. ISBN 0 521 77594 9 (paperback), £22.95; Vol. 2, 480 pp. ISBN 0 521 77593 0 (paperback), £24.95. - J.-P. Serre. Local Algebra. Springer Monographs in Mathematics. Springer-Verlag (Berlin), 2000; 129 pp. ISBN 3 540 66641 9 (hardback), £27. - J.-P. Serre. Oeuvres: Collected Papers, IV (1985–1998). Springer-Verlag (Berlin), 2000; 657 pp. ISBN 3 540 65683 9 (hardback), £86. - H. Simmons. Derivation and Computation. Cambridge Tracts in Theoretical Computer Science, 51. Cambridge University Press, 2000; 384 pp. ISBN 0 521 77173 0 (hardback), £42.50. - G. Smith and O. Tabachnikova. Topics in Group Theory. SUMS. Springer (London), 2000; 255 pp. ISBN 1 85233 235 2 (paperback), £18.95. - T. A. Springer and F. D. Veldkamp. Octonions, Jordan Algebras and Exceptional Groups. Springer Monographs in Mathematics. Springer-Verlag (Berlin), 2000; 208 pp. ISBN 3 540 66337 1 (hardback), £48. - O. Stormark. Lie's Structural approach to PDE Systems. Encyclopedia of Mathematics and its Applications, 80. Cambridge University Press, 2000; 572 pp. ISBN 0 521 78088 8 (hardback), £70. - A. Terras. Fourier Analysis on Finite Groups and Applications. London Mathematical Society Student Texts, 43. Cambridge University Press, 1999; 442 pp. ISBN 0 521 45108 6 (hardback), £50; ISBN 0 521 45718 1 (paperback), £18.95. - T. Tymoczko and J. Henle. Sweet Reason, a Field Guide to Modern Logic. Springer (New York), 1999; 644 pp. ISBN 0 387 78930 7 (paperback), £27. - F. Van Oystaeyan. Algebraic Geometry for Associative Algebras. Monographs and Textbooks in Pure and Applied Mathematics, 232. Marcel Dekker, Inc. (New York), 2000; 287 pp. ISBN 0 8247 0424 X (hardback), £90 (approx.). - P. J. Vassiliou and I. G. Lisle (editors). Geometric Approaches to Differential Equations. Australian Mathematical Society Lecture Notes Series, 15. Cambridge University Press, 2000; 227 pp. ISBN 0 521 77598 1 (paperback), £29.95. - W. H. Woodin. The Axioms of Determinacy, Forcing Axioms and the Nonstationary Ideals. De Gruyter Series in Logic and its Applications, 1. W. de Gruyter (Berlin), 1999; 934 pp. ISBN 3 11 015708 X (hardback), £100 (approx.). - M. I. Zelikin. Control Theory and Optimization, I. Encyclopaedia of Mathematical Sciences, 86. Springer-Verlag (Berlin–Heidelberg), 2000; 284 pp. ISBN 3 540 66741 5 (hardback), £61.50. - C. Zong. Sphere Packings. Springer Universitext. Springer-Verlag (Berlin), 1999; 241 pp. ISBN 0 387 98794 0 (hardback), £27.