Book Reviews - S. Alaca and K. S. Williams. Introductory Algebraic Number Theory. Cambridge University Press, 2004; 428 pp. ISBN 0 521 83250 0 (hardback), £65; 0 521 54011 9 (paperback), £24.99. - A. Baker and B. Richter (editors). Structured Ring Spectra. London Mathematical Society Lecture Note Series 315, Cambridge University Press. 2004; 236 pp. ISBN 0 521 60305 6 (paperback), £35. - R. Beals. Analysis: an Introduction. Cambridge University Press, 2004; 261 pp. ISBN 0 521 84072 4 (hardback), £50; 0 521 60047 2 (paperback), £24.99. - B. Bollobás. Random Graphs (2nd edition). Cambridge University Press, 2001; 498 pp. ISBN 0 521 80920 7 (hardback), £75; 0 521 79722 5 (paperback), £29.95. - J. A. Buchmann. Introduction to Cryptography (2nd edition). Undergraduate Texts in Mathematics, Springer-Verlag (Berlin-Heidelberg), 2004; 335 pp. ISBN 0 387 21156 X (hardback), £61.50; 0 387 20756 2 (paperback). £30.50. - Y. Bugeaud. Approximation by Algebraic Numbers. Cambridge Tracts in Mathematics 160, Cambridge University Press, 2004; 274 pp. ISBN 0 521 82329 3 (hardback), £40. - D. Cvetković, P. Rowlinson and S. Simić. Spectral Generalizations of Line Graphs: On Graphs with Least Eigenvalue 2. London Mathematical Society Lecture Note Series 314, Cambridge University Press. 2004; 298 pp. ISBN 0 521 83663 8 (paperback), £35. - H. Darmon and S.-W. Zhang (editors). Heegner Points and Rankin L-Series. MSRI Publications 49, Cambridge University Press, 2004; 367 pp. ISBN 0 521 83659 X (hardback), £45. - A. K. Dewdney. Beyond Reason: Eight Great Problems that Reveal the Limits of Science. John Wiley and Sons Inc. (Hoboken, NJ), 2004; 224 pp. ISBN 0 471 01398 6 (hardback), £19.99. - G. Gasper and M. Rahman. Basic Hypergeometric Series {2nd edition). Encyclopedia of Mathematics and its Applications 96, Cambridge University Press, 2004; 428 pp. ISBN 0 521 83357 4 (hardback), £65. - M. Georgiadou. Constantin Caratheodory: Mathematics and Politics in Turbulent Times. Springer-Verlag (Berlin), 2004; 651 pp. ISBN 3 540 20352 4 (paperback), £30.50. - C. G. Gibson. Elementary Euclidean Geometry: An Undergraduate Introduction. Cambridge University Press, 2003; 174 pp. ISBN 0 521 83448 1 (hardback), £32.50. - M. C. Golumbic and A. N. Trenk. Tolerance Graphs. Cambridge Studies in Advanced Mathematics 89, Cambridge Universtiy Press, 2004; 265 pp. ISBN 0 521 82758 2 (hardback), £40. - L. H. Harper. Global Methods for Combinatorial Isoperimetric Problems. Cambridge Studies in Advanced Mathematics 90, Cambridge University Press, 2004; 232 pp. ISBN 0 521 83268 3 (hardback), £40. - H. Kurzweil and B. Stellmacher. The Theory of Finite Groups: An Introduction. Springer Universitext, Springer-Verlag (New York-Berlin-Heidelberg), 2004; 387 pp. ISBN 0 387 40510 0 (hardback), £54. - J. H. Kwak and S. Hong. Linear Algebra (2nd edition). Birkhäuser (Boston), 2004; 390 pp. ISBN 0 8176 4294 3 (paperback), £39 (approx.) - T. Y. Lam. Exercises in Classical Ring Theory (2nd edition). Problem Books in Mathematics, Springer-Verlag (New York-Berlin-Heidelberg), 2003: 359 pp. ISBN 0 387 00500 5 (hardback), £54. - K. Mccrlmmon. A Taste of Jordan Algebras. Springer Universitext. Springer-Verlag (New York-Berlin-Heidelberg), 2004; 562 pp. ISBN 0 387 95447 3 (hardback), £57.50. - A. A. Mikhalev, V. Shpilrain and J.-T. Yu. Combinational Methods, Free Groups, Polynomials and Free Algebras. Canadian Mathematical Society Books in Mathematics 19, Springer, 2004; 315 pp. ISBN 0 387 40562 3 (hardback), £69. - M. C. Pedicchio and W. Tholen. Categorical Foundations: Special Topics in Order, Topology, Algebra and Sheaf Theory. Encyclopedia of Mathematics and its Applications 97, Cambridge University Press, 2004; 417 pp. ISBN 0 521 83414 7 (hardback), £60. - M. Reid and A. Skorobogatov. Number Theory and Algebraic Geometry. London Mathematical Society Lecture Note Series 303, Cambridge University Press, 2003; 300 pp. ISBN 0 521 54518 8 (paperback), £35. - H. K. Schenck. Computational Algebraic Geometry. London Mathematical Society Student Texts 58, Cambridge University Press, 2003; 193 pp. ISBN 0 521 82964 X (hardback), £50; 0 521 53650 2 (paperback), £18.99. - J. Stedall (translator). The Arithmetic of Infinitesimals: John Wallis 1656. Sources and Studies in the History of Mathematics and Physical Sciences, Springer (New York), 2004; 192 pp. ISBN 0 387 20709 0 (hardback), £92.50. - C. Teuscher (editor). Alan Turing: Life and Legacy of a Great Thinker. Springer-Verlag (Berlin-Heidelberg-New York), 2004; 542 pp. ISBN 3 540 20020 7 (hardback), £46. - C. T. C. Wall. Singular Points of Plane Curves. London Mathematical Society Student Texts 63, Cambridge University Press, 2004; 370 pp. ISBN 0 521 83904 1 (hardback), £55; 0 521 54774 1 (paperback), £27. - A. H. Zemanian. Graphs and Networks, Transfinite and Non-standard. Birkhäuser (Boston), 2004; 202 pp. ISBN 0 8176 4292 7 (paperback). £65 (approx.).