Russell Merris, Multilinear Algebra, Gordon & Breach, Amsterdam, 1997, 332 + viii pages; ISBN: 90-5699-078-0. Ideally suited for a fourth year undergraduate "capstone" course, Multilinear Algebra is also an attractive choice for a beginning graduate course and/or as a research reference. The first four chapters consist of self-contained introductions to those pre- requisite notions beyond the standard third year undergraduate courses in abstract and linear algebra. Apart from applications to graph theory and the "excursion" into invariant theory, the use of Schur functions as a unifying vehicle in the final chapter may be of particular interest to combinatorialists. Contents: 1. Partitions Applications to Graphs 2. Inner Product Spaces Applications to Graphs 3. Permutation Groups Applications to Symmetry 4. Group Representation Theory 5. Tensor Spaces 6. Symmetry Classes of Tensors Applications to the Theory of Enumeration The Enumeration of Graphs Applications to NMR Spectroscopy 7. Generalized Matrix Functions An Excursion into Invariant Theory Applications to Graphs 8. The Rational Representations of GL(n,C) Applications to Graphs Priced at $90 (ECU 75 or 59 British pounds), the book may be ordered from International Publishers Distributor (IPD) in North/South America: PO Box 32160, Newark, NJ 07102 Tel: 1 (800) 545-8398; Fax: 1 (215) 750-6343 Europe/Middle East/Africa: PO Box 310, St. Helier, Jersey, JE4 OTH, Channel Islands. Tel: 44 (0) 118 956 0080; Fax: 44 (0) 118 956 8211 Asia/Australia: Kent Ridge, PO Box 1180, Singapore 911106 Tel: 65 741 6933; Fax 65 741 6922; E-mail: ipdmktg@singnet.com.sg