Bulletin of the London Mathematical Society: Volume 35 -

RIGHT CANCELLATION IN THE ${\cal L}{\cal U}{\cal C}$ -COMPACTIFICATION OF A LOCALLY COMPACT GROUP
M. FILALI, J. S. PYM
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24 March 2003, pp. 128-134
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Write $G^{\ast} = G^{{\cal L}{\cal U}{\cal C}}\setminus G$ where $G^{{\cal L}{\cal U}{\cal C}}$ is the largest semigroup compactification of the locally compact group $G$ . Then the set of points of $G^{\ast}$ which are right cancellable in $G^{{\cal L}{\cal U}{\cal C}}$ is large; in fact it has an interior in $G^{\ast}$ which is dense in $G^{\ast}$ . Corollaries are given about the number of left ideals in $G^{{\cal L}{\cal U}{\cal C}}$ and the size of right ideals in the algebra ${{\cal L}{\cal U}{\cal C}}(G)^{\ast}$ .

ADVANCES IN MODULI THEORY (Translations of Mathematical Monographs 206). By YUJI SHIMIZU and KENJI UENO: 300 pp., US$49.00, ISBN 0-8218-2156-3 (American Mathematical Society, Providence, RI, 2002)
NIGEL HITCHIN
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12 May 2003, pp. 425-426
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A COURSE IN CONVEXITY (Graduate Studies in Mathematics 54) By ALEXANDER BARVINOK: 366 pp., US$59.00, ISBN 0-8218-2968-8 (American Mathematical Society, Providence, RI, 2002).
PETER McMULLEN
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13 August 2003, pp. 714-716
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FLOER HOMOLOGY GROUPS IN YANG–MILLS THEORY (Cambridge Tracts in Mathematics 147) By S. K. DONALDSON: 236 pp., £50.00 (US$75.00), ISBN 0 521 80803 0 (Cambridge University Press, 2002).
Peter Kronheimer
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20 March 2003, pp. 276-288
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OBITUARY: JOHN GRANT FAUVEL (1947–2001)
J. J. GRAY
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09 June 2003, pp. 565-569
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John Fauvel, who died on 12 May 2001 at the age of 53, was one of Britain's most distinguished historians of mathematics, and was emerging as a true and productive scholar in the subject when a long-running liver condition suddenly worsened and claimed his life.

CELLULAR AUTOMATA: A DISCRETE UNIVERSE By ANDREW ILACHINSKI: 808 pp., £76.00, ISBN 981-02-4623-4 (World Scientific, Singapore, 2001).
CRISTOPHER MOORE, COSMA SHALIZI
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20 March 2003, pp. 276-288
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GRAPHS OF GROUPS ON SURFACES: INTERACTIONS AND MODELS (North-Holland Mathematics Studies 188). By ARTHUR T. WHITE: 363 pp., US$79.50, ISBN 0-444-50075-8 (North Holland/Elsevier, Amsterdam, 2001)
GARETH A. JONES
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12 May 2003, pp. 426-428
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ASYMPTOTICS AND MELLIN–BARNES INTEGRALS (Encyclopedia of Mathematics and its Applications 85) By R. B. PARIS and D. KAMINSKI: 422 pp., £65.00 (US$95.00), ISBN 0 521 79001 8 (Cambridge University Press, 2001).
Christopher Howls
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24 March 2003, pp. 135-144
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ALGEBRAIC COMBINATORICS ON WORDS (Encyclopedia of Mathematics and its Applications 90) By M. LOTHAIRE: 504 pp., £60.00, ISBN 0 521 81220 8 (Cambridge University Press, 2002)
JEFFREY SHALLIT
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09 June 2003, pp. 570-571
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AN INTRODUCTION TO SEMICLASSICAL AND MICROLOCAL ANALYSIS (Universitext) By ANDRÉ MARTINEZ: 190 pp., £49.00 (US$59.95), ISBN 0-387-95344-2 (Springer, New York, 2002).
YURI SAFAROV
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13 August 2003, pp. 716-717
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THE GEOMETRY AND COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES (Annals of Mathematics Studies 151) By MICHAEL HARRIS and RICHARD TAYLOR: 276 pp., £24.95 (Paperback), ISBN 0-691-09090-4/0-691-09092-0(P) (Princeton University Press, 2001).
HENRI CARAYOL
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13 August 2003, pp. 717-719
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SPECTRAL METHODS OF AUTOMORPHIC FORMS (2nd edn) (Graduate Studies in Mathematics 53). By HENRYK IWANIEC: 220 pp., US$49.00, ISBN 0-8218-3160-7 (American Mathematical Society, Providence, RI, 2002)
ANTON DEITMAR
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12 May 2003, pp. 428-430
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GEOMETRIC ASYMPTOTICS FOR NONLINEAR PDE I (Translations of Mathematical Monographs 202) By V. P. MASLOV and G. A. OMEL'YANOV (translated by DMITRII CHIBISOV): 285 pp., US$99.00, ISBN 0-8218-2109-1 (American Mathematical Society, Providence, RI, 2001).
Vassili Kolokoltsov
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24 March 2003, pp. 135-144
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TORSORS AND RATIONAL POINTS (Cambridge Tracts in Mathematics 144) By ALEXEI SKOROBOGATOV: 187 pp., £35.00, ISBN 0-521-80237-7 (Cambridge University Press, 2001).
JOHN E. CREMONA
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20 March 2003, pp. 276-288
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OPERADS IN ALGEBRA, TOPOLOGY AND PHYSICS (Mathematical Surveys and Monographs 96) By MARTIN MARKL, STEVE SHNIDER and JIM STASHEFF: 349 pp., US$89.00, ISBN 0-8218-2134-2 (American Mathematical Society, Providence, RI, 2002).
JOHN BAEZ
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09 June 2003, pp. 572-574
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THE SYMMETRY PERSPECTIVE: FROM EQUILIBRIUM TO CHAOS IN PHASE SPACE AND PHYSICAL SPACE (Progress in Mathematics 200). By MARTIN GOLUBITSKY and IAN STEWART: 325 pp., CHF113.00 (75.00 euro), ISBN 3-7643-6609-5 (Birkhäuser, Basel, 2002)
PETER ASHWIN
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12 May 2003, pp. 430-431
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LECTURES ON DISCRETE GEOMETRY (Graduate Texts in Mathematics 212) By JIŘÍ MATOUšEK: 481 pp., £31.50 (US$39.95), ISBN 0-387-95374-4 (Springer, New York, 2002).
IMRE BÁRÁNY
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13 August 2003, pp. 719-720
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FUNCTORIAL KNOT THEORY: CATEGORIES OF TANGLES, COHERENCE, CATEGORICAL DEFORMATIONS, AND TOPOLOGICAL INVARIANTS (Series on Knots and Everything 26) By DAVID N. YETTER: 230 pp., £40.00, ISBN 981-02-4443-6 (World Scientific, Singapore, 2001).
Ross Street
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24 March 2003, pp. 135-144
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DISCREPANCY OF SIGNED MEASURES AND POLYNOMIAL APPROXIMATION (Springer Monographs in Mathematics) By VLADIMIR V. ANDRIEVSKII and HANS-PETER BLATT: 438 pp., £59.50 (US$79.95), ISBN 0-387-98652-9 (Springer, New York, 2002).
VILMOS TOTIK
Published online by Cambridge University Press:

20 March 2003, pp. 276-288
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INTRODUCTION TO THE BAUM–CONNES CONJECTURE (Lectures in Mathematics) By ALAIN VALETTE: 104 pp., CHF33.00 (20.56 euro), ISBN 3-7643-6706-7 (Birkhäuser, Basel, 2002)
JACEK BRODZKI
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09 June 2003, pp. 575-576
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Bulletin of the London Mathematical Society

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Volume 35 - May 2003

NOTES AND PAPERS

RIGHT CANCELLATION IN THE ${\cal L}{\cal U}{\cal C}$ -COMPACTIFICATION OF A LOCALLY COMPACT GROUP

BOOK REVIEWS

ADVANCES IN MODULI THEORY (Translations of Mathematical Monographs 206). By YUJI SHIMIZU and KENJI UENO: 300 pp., US$49.00, ISBN 0-8218-2156-3 (American Mathematical Society, Providence, RI, 2002)

Review

A COURSE IN CONVEXITY (Graduate Studies in Mathematics 54) By ALEXANDER BARVINOK: 366 pp., US$59.00, ISBN 0-8218-2968-8 (American Mathematical Society, Providence, RI, 2002).

BOOK REVIEWS

FLOER HOMOLOGY GROUPS IN YANG–MILLS THEORY (Cambridge Tracts in Mathematics 147) By S. K. DONALDSON: 236 pp., £50.00 (US$75.00), ISBN 0 521 80803 0 (Cambridge University Press, 2002).

Obituary

OBITUARY: JOHN GRANT FAUVEL (1947–2001)

BOOK REVIEWS

CELLULAR AUTOMATA: A DISCRETE UNIVERSE By ANDREW ILACHINSKI: 808 pp., £76.00, ISBN 981-02-4623-4 (World Scientific, Singapore, 2001).

GRAPHS OF GROUPS ON SURFACES: INTERACTIONS AND MODELS (North-Holland Mathematics Studies 188). By ARTHUR T. WHITE: 363 pp., US$79.50, ISBN 0-444-50075-8 (North Holland/Elsevier, Amsterdam, 2001)

Book Review

ASYMPTOTICS AND MELLIN–BARNES INTEGRALS (Encyclopedia of Mathematics and its Applications 85) By R. B. PARIS and D. KAMINSKI: 422 pp., £65.00 (US$95.00), ISBN 0 521 79001 8 (Cambridge University Press, 2001).

BOOK REVIEWS

ALGEBRAIC COMBINATORICS ON WORDS (Encyclopedia of Mathematics and its Applications 90) By M. LOTHAIRE: 504 pp., £60.00, ISBN 0 521 81220 8 (Cambridge University Press, 2002)

Review

AN INTRODUCTION TO SEMICLASSICAL AND MICROLOCAL ANALYSIS (Universitext) By ANDRÉ MARTINEZ: 190 pp., £49.00 (US$59.95), ISBN 0-387-95344-2 (Springer, New York, 2002).

THE GEOMETRY AND COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES (Annals of Mathematics Studies 151) By MICHAEL HARRIS and RICHARD TAYLOR: 276 pp., £24.95 (Paperback), ISBN 0-691-09090-4/0-691-09092-0(P) (Princeton University Press, 2001).

BOOK REVIEWS

SPECTRAL METHODS OF AUTOMORPHIC FORMS (2nd edn) (Graduate Studies in Mathematics 53). By HENRYK IWANIEC: 220 pp., US$49.00, ISBN 0-8218-3160-7 (American Mathematical Society, Providence, RI, 2002)

Book Review

GEOMETRIC ASYMPTOTICS FOR NONLINEAR PDE I (Translations of Mathematical Monographs 202) By V. P. MASLOV and G. A. OMEL'YANOV (translated by DMITRII CHIBISOV): 285 pp., US$99.00, ISBN 0-8218-2109-1 (American Mathematical Society, Providence, RI, 2001).

BOOK REVIEWS

TORSORS AND RATIONAL POINTS (Cambridge Tracts in Mathematics 144) By ALEXEI SKOROBOGATOV: 187 pp., £35.00, ISBN 0-521-80237-7 (Cambridge University Press, 2001).

OPERADS IN ALGEBRA, TOPOLOGY AND PHYSICS (Mathematical Surveys and Monographs 96) By MARTIN MARKL, STEVE SHNIDER and JIM STASHEFF: 349 pp., US$89.00, ISBN 0-8218-2134-2 (American Mathematical Society, Providence, RI, 2002).

THE SYMMETRY PERSPECTIVE: FROM EQUILIBRIUM TO CHAOS IN PHASE SPACE AND PHYSICAL SPACE (Progress in Mathematics 200). By MARTIN GOLUBITSKY and IAN STEWART: 325 pp., CHF113.00 (75.00 euro), ISBN 3-7643-6609-5 (Birkhäuser, Basel, 2002)

Review

LECTURES ON DISCRETE GEOMETRY (Graduate Texts in Mathematics 212) By JIŘÍ MATOUšEK: 481 pp., £31.50 (US$39.95), ISBN 0-387-95374-4 (Springer, New York, 2002).

Book Review

FUNCTORIAL KNOT THEORY: CATEGORIES OF TANGLES, COHERENCE, CATEGORICAL DEFORMATIONS, AND TOPOLOGICAL INVARIANTS (Series on Knots and Everything 26) By DAVID N. YETTER: 230 pp., £40.00, ISBN 981-02-4443-6 (World Scientific, Singapore, 2001).

BOOK REVIEWS

DISCREPANCY OF SIGNED MEASURES AND POLYNOMIAL APPROXIMATION (Springer Monographs in Mathematics) By VLADIMIR V. ANDRIEVSKII and HANS-PETER BLATT: 438 pp., £59.50 (US$79.95), ISBN 0-387-98652-9 (Springer, New York, 2002).

INTRODUCTION TO THE BAUM–CONNES CONJECTURE (Lectures in Mathematics) By ALAIN VALETTE: 104 pp., CHF33.00 (20.56 euro), ISBN 3-7643-6706-7 (Birkhäuser, Basel, 2002)

Bulletin of the London Mathematical Society

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Volume 35 - May 2003

NOTES AND PAPERS

BOOK REVIEWS

Review

BOOK REVIEWS

Obituary

BOOK REVIEWS

Book Review

BOOK REVIEWS

Review

BOOK REVIEWS

Book Review

BOOK REVIEWS

Review

Book Review

BOOK REVIEWS