BOOK REVIEWS
LOOPS, KNOTS, GAUGE THEORIES AND QUANTUM GRAVITY (Cambridge Monographs on Mathematical Physics) By RODOLFO GAMBINI and JORGE PULLIN: 321 pp., £50.00, ISBN 0 521 47332 2 (Cambridge University Press, 1996).
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- 01 March 1999, pp. 248-256
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ADDITIVE NUMBER THEORY: THE CLASSICAL BASES (Graduate Texts in Mathematics 164) By MELVYN B. NATHANSON: 342 pp., DM.78.–, ISBN 0 387 94656 X (Springer, 1996). ADDITIVE NUMBER THEORY: INVERSE PROBLEMS AND THE GEOMETRY OF SUMSETS (Graduate Texts in Mathematics 165) By MELVYN B. NATHANSON: 293 pp., DM.78.–, ISBN 0 387 94655 1 (Springer, 1996).
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- 01 January 1999, pp. 108-125
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BEST APPROXIMATION BY LINEAR SUPERPOSITIONS (APPROXIMATE NOMOGRAPHY) (Translations of Mathematical Monographs 159) By S. YA. KHAVINSON: 175 pp., US$69.00, ISBN 0 8218 0422 7 (American Mathematical Society, 1997).
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LECTURES ON VECTOR BUNDLES (Cambridge Studies in Advanced Mathematics 54) By J. Le POTIER: 248 pp., £40.00, ISBN 0 521 48182 1 (Cambridge University Press, 1997).
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CHARACTERS AND BLOCKS OF FINITE GROUPS (London Mathematical Society Lecture Note Series 250) By GABRIEL NAVARRO: 287 pp., £24.95 (US$39.95, LMS Members' price £19.45), ISBN 0 521 59513 4 (Cambridge University Press, 1998).
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- 01 November 1999, pp. 740-763
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INTEGRABILITY, SELF-DUALITY, AND TWISTOR THEORY (LMS Monographs (N.S.) 15) By L. J. MASON and N. M. J. WOODHOUSE: 364 pp., £45.00 (LMS Members' price £33.75), ISBN 0 19 853498 1 (Clarendon Press, 1996).
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- 01 May 1999, pp. 367-384
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TIGHT AND TAUT SUBMANIFOLDS: PAPERS IN MEMORY OF NICHOLAAS H. KUIPER (Mathematical Sciences Research Institute Publications 32) Edited by THOMAS E. CECIL and SHIING-SHEN CHERN: 349 pp., £30.00 (US$44.95), ISBN 0 521 62047 3 (Cambridge University Press, 1997).
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- 01 July 1999, pp. 494-512
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EULER PRODUCTS AND EISENSTEIN SERIES (CBMS Regional Conference Series in Mathematics 93) By GORO SHIMURA: 258 pp., US$39.00, ISBN 0 8218 0574 6 (American Mathematical Society, 1997).
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- 01 September 1999, pp. 627-640
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HOMEOMORPHISMS IN ANALYSIS (Mathematical Surveys and Monographs 54) By CASPER GOFFMAN, TOGO NISHIURA and DANIEL WATERMAN: 216 pp., US$69.00, ISBN 0 8218 0614 9 (American Mathematical Society, 1997).
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- 01 May 1999, pp. 367-384
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SUPER-REAL FIELDS: TOTALLY ORDERED FIELDS WITH ADDITIONAL STRUCTURE (LMS Monographs (N.S.) 14) By H. GARTH DALES and W. HUGH WOODIN: 357 pp., £55.00 (LMS Members' price £41.25), ISBN 0 19 853991 6 (Clarendon Press, 1996).
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POINCARÉ AND THE THREE BODY PROBLEM (History of Mathematics 11) By JUNE BARROW-GREEN: 272 pp., US$49.00, ISBN 0 8218 0367 0 (American Mathematical Society, 1996). CELESTIAL ENCOUNTERS: THE ORIGINS OF CHAOS AND STABILITY By FLORIN DIACU and PHILIP HOLMES: 233 pp., US$24.95, £19.95, ISBN 0 691 02743 9 (Princeton University Press, 1997).
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FIBREWISE HOMOTOPY THEORY (Springer Monographs in Mathematics) By MICHAEL CRABB and IOAN JAMES: 341 pp., £49.50, ISBN 1 85233 014 7 (Springer, 1998).
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INTRODUCTION TO SUBFACTORS (LMS Lecture Note Series 234) By V. JONES and V. S. SUNDER: 162 pp., £22.95 (US$37.95, LMS Members' price £17.20), ISBN 0 521 58420 5 (Cambridge University Press, 1997).
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DISCOVERING MODERN SET THEORY. I: THE BASICS (Graduate Studies in Mathematics 8) By WINIFRED JUST and MARTIN WEESE: 210 pp., US$36.00, ISBN 0 8218 0266 6 (American Mathematical Society, 1996). DISCOVERING MODERN SET THEORY. II: SET-THEORETIC TOOLS FOR EVERY MATHEMATICIAN (Graduate Studies in Mathematics 18) By WINIFRED JUST and MARTIN WEESE: 224 pp., US$36.00, ISBN 0 8218 0528 2 (American Mathematical Society, 1997). SET THEORY FOR THE WORKING MATHEMATICIAN (London Mathematical Society Student Texts 39) By KRZYSZTOF CIESIELSKI: 236 pp., £13.95 (US$19.95, LMS Members' price £10.45), ISBN 0 521 59465 0 (Cambridge University Press, 1997).
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CONFOLIATIONS (University Lecture Series 13) By YAKOV M. ELIASHBERG and WILLIAM P. THURSTON: 66 pp., US$16.00, ISBN 0 8218 0776 5 (American Mathematical Society, 1997).
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CAUCHY AND THE CREATION OF COMPLEX FUNCTION THEORY By FRANK SMITHIES: 216 pp., £35.00 (US$59.95), ISBN 0 521 59278 X (Cambridge University Press, 1997).
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STABLE GROUPS (LMS Lecture Note Series 240) By FRANK O. WAGNER: 309 pp., £27.95 (US$44.95, LMS Members' price £20.95) ISBN 0 521 59839 7 (Cambridge University Press, 1997).
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LIFTING SOLUTIONS TO PERTURBING PROBLEMS IN C*-ALGEBRAS (Fields Institute Monographs 8) By TERRY A. LORING: 165 pp., US$44.00, ISBN 0 8218 0602 5 (American Mathematical Society, 1997).
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- 01 January 1999, pp. 108-125
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BRAUER GROUPS, HOPF ALGEBRAS AND GALOIS THEORY (K-Monographs in Mathematics 4) By STEFAAN CAENEPEEL: 504 pp., £118.00, ISBN 0 7923 4829 X (Kluwer Academic Publishers, 1998).
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INTRODUCTION TO GEOMETRIC PROBABILITY By DANIEL A. KLAIN and GIAN-CARLO ROTA: 178 pp., £12.95 (US$19.95), ISBN 0 521 59654 8 (Cambridge University Press, 1997).
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