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London Mathematical Society Lecture Note Series

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Editors: Professor B. J. Green, Professor D. R. Heath-Brown, Professor M. Reid, Professor R. A. M. Rouqier, Professor J. T. Stafford, Professor E. Süli

This series has established itself as a valuable source of information for professional mathematicians and research workers in all areas of mathematics. Most of the volumes are short monographs giving an authoritative account of the present state of knowledge of a topic of current interest. The treatment may be informal but importance is attached to clear yet rigorous exposition. The series also accepts conference proceedings and similar collective works that meet its general objectives.

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There are 331 titles in this series...

[18] A Geometric Approach to Homology Theory

[105] A Local Spectral Theory for Closed Operators

[225] A Mathematical Introduction to String Theory

Variational Problems, Geometric and Probabilistic Methods

  • Sergio Albeverio, Jurgen Jost, Sylvie Paycha, Sergio Scarlatti
  • Paperback | Published July 1997
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[292] A Quantum Groups Primer

[176] Adams Memorial Symposium on Algebraic Topology

Volume 2,

[175] Adams Memorial Symposium on Algebraic Topology

Volume 1,

[317] Advances in Elliptic Curve Cryptography

[139] Advances in Homotopy Theory

Papers in Honour of I M James, Cortona 1988

[222] Advances in Linear Logic

[344] Algebraic Cycles and Motives

Volume 2,

[343] Algebraic Cycles and Motives

Volume 1,

[220] Algebraic Set Theory

[357] Algebraic Theory of Differential Equations

[4] Algebraic Topology

A Student's Guide

[99] Algebraic Topology via Differential Geometry

[172] Algebraic Varieties

[345] Algebraic and Analytic Geometry

[131] Algebraic, Extremal and Metric Combinatorics 1986

[89] An F-space Sampler

[115] An Introduction to Independence for Analysts

[257] An Introduction to Noncommutative Differential Geometry and its Physical Applications

2nd Edition

[15] An Introduction to Topological Groups

[110] An Introduction to the Theory of Surreal Numbers

[262] Analysis and Logic

  • C. Ward Henson, José Iovino, Alexander S. Kechris, Edward Odell, Edited by Catherine Finet, Christian Michaux
  • Paperback | Published March 2003
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[138] Analysis at Urbana

Volume 2, Analysis in Abstract Spaces

[137] Analysis at Urbana

Volume 1, Analysis in Function Spaces

[247] Analytic Number Theory

[223] Analytic Semigroups and Semilinear Initial Boundary Value Problems

[14] Analytic Theory of Abelian Varieties

[59] Applicable Differential Geometry

[177] Applications of Categories in Computer Science

Proceedings of the London Mathematical Society Symposium, Durham 1991

[195] Arithmetic of Blowup Algebras

[209] Arithmetic of Diagonal Hypersurfaces over Finite Fields

[184] Arithmetical Functions

[256] Aspects of Galois Theory

  • Edited by Helmut Voelklein, J. G. Thompson, David Harbater, Peter Müller
  • Paperback | Published July 1999
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[289] Aspects of Sobolev-Type Inequalities

[93] Aspects of Topology

In Memory of Hugh Dowker 1912–1982

[282] Auslander-Buchweitz Approximations of Equivariant Modules

[21] Automatic Continuity of Linear Operators

[169] Boolean Function Complexity

[28] Brownian Motion, Hardy Spaces and Bounded Mean Oscillation

[272] Character Theory for the Odd Order Theorem

[280] Characters and Automorphism Groups of Compact Riemann Surfaces

[250] Characters and Blocks of Finite Groups

[91] Classgroups of Group Rings

[67] Classification Problems in Ergodic Theory

[155] Classification Theory of Polarized Varieties

[286] Clifford Algebras and Spinors

2nd Edition

[47] Coding the Universe

[204] Combinatorial and Geometric Group Theory, Edinburgh 1993

[52] Combinatorics

[13] Combinatorics

[5] Commutative Algebra

[50] Commutator Calculus and Groups of Homotopy Classes

[107] Compactification of Siegel Moduli Schemes

[179] Complex Projective Geometry

Selected Papers

  • Edited by G. Ellingsrud, C. Peskine, G. Sacchiero, S. A. Stromme
  • Paperback | Published July 1992
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[186] Complexity: Knots, Colourings and Countings

[224] Computability, Enumerability, Unsolvability

Directions in Recursion Theory

[275] Computational and Geometric Aspects of Modern Algebra

  • Edited by Michael Atkinson, Nick Gilbert, James Howie, Steve Linton, Edmund Robertson
  • Paperback | Published June 2000
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[193] Computer Algebra and Differential Equations

[371] Conformal Fractals

Ergodic Theory Methods

[31] Continuous Crossed Products and Type III Von Neumann Algebras

[63] Continuous Semigroups in Banach Algebras

[147] Continuous and Discrete Modules

[309] Corings and Comodules

[277] Descriptive Set Theory and Dynamical Systems

[128] Descriptive Set Theory and the Structure of Sets of Uniqueness

[17] Differentiable Germs and Catastrophes

[362] Differential Tensor Algebras and their Module Categories

[109] Diophantine Analysis

Proceedings at the Number Theory Section of the 1985 Australian Mathematical Society Convention

[96] Diophantine Equations over Function Fields

[173] Discrete Groups and Geometry

[302] Discrete and Continuous Nonlinear Schrödinger Systems

[319] Double Affine Hecke Algebras

[62] Economics for Mathematicians

[342] Elliptic Cohomology

Geometry, Applications, and Higher Chromatic Analogues

[356] Elliptic Curves and Big Galois Representations

[265] Elliptic Curves in Cryptography

[9] Elliptic Functions and Elliptic Curves

[104] Elliptic Structures on 3-Manifolds

[369] Epidemics and Rumours in Complex Networks

[205] Ergodic Theory and Harmonic Analysis

Proceedings of the 1993 Alexandria Conference

[269] Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

[228] Ergodic Theory and Zd Actions

[229] Ergodicity for Infinite Dimensional Systems

[281] Explicit Birational Geometry of 3-folds

[88] FPF Ring Theory

Faithful Modules and Generators of Mod-R

[233] Finite Fields and Applications

Proceedings of the Third International Conference, Glasgow, July 1995

[191] Finite Geometries and Combinatorics

[351] Finite von Neumann Algebras and Masas

[284] Foundations of Computational Mathematics

[363] Foundations of Computational Mathematics, Hong Kong 2008

[312] Foundations of Computational Mathematics, Minneapolis 2002

  • Edited by Felipe Cucker, Ron DeVore, Peter Olver, Endre Süli
  • Paperback | Published March 2004
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[331] Foundations of Computational Mathematics, Santander 2005

  • Edited by Luis M. Pardo, Allan Pinkus, Endre Suli, Michael J. Todd
  • Paperback | Published June 2006
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[328] Fundamentals of Hyperbolic Manifolds

Selected Expositions

[254] Galois Representations in Arithmetic Algebraic Geometry

[1] General Cohomology Theory and K-Theory

[213] General Theory of Lie Groupoids and Lie Algebroids

[214] Generalised Euler-Jacobi Inversion Formula and Asymptotics beyond All Orders

[374] Geometric Analysis of Hyperbolic Differential Equations: An Introduction

[140] Geometric Aspects of Banach Spaces

Essays in Honour of Antonio Plans

[243] Geometric Galois Actions

Volume 2, The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups

[242] Geometric Galois Actions

Volume 1, Around Grothendieck's Esquisse d'un Programme

[182] Geometric Group Theory

Volume 2,

  • Edited by Graham A. Niblo, Martin A. Roller, J. W. S. Cassels
  • Paperback | Published August 1993
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[181] Geometric Group Theory

Volume 1,

[306] Geometric Mechanics and Symmetry

The Peyresq Lectures

[358] Geometric and Cohomological Methods in Group Theory

  • Edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary
  • Paperback | Published October 2009
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[252] Geometry and Cohomology in Group Theory

[295] Geometry and Integrability

[158] Geometry of Banach Spaces

Proceedings of the Conference Held in Strobl, Austria 1989

[151] Geometry of Low-Dimensional Manifolds

Symplectic Manifolds and Jones-Witten Theory
Volume 2,

[150] Geometry of Low-Dimensional Manifolds

Volume 1,

[368] Geometry of Riemann Surfaces

  • Edited by Frederick P. Gardiner, Gabino González-Diez, Christos Kourouniotis
  • Paperback | Published January 2010
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[245] Geometry, Combinatorial Designs and Related Structures

  • Edited by J. W. P. Hirschfeld, S. S. Magliveras, M. J. de Resmini
  • Paperback | Published August 1997
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[278] Global Attractors in Abstract Parabolic Problems

[43] Graphs, Codes and Designs

[311] Groups

Topological, Combinatorial and Arithmetic Aspects

[212] Groups '93 Galway/St Andrews

Volume 2,

  • C. M. Campbell, E. F. Robertson, T. C. Hurley, S. J. Tobin, J. J. Ward
  • Paperback | Published March 1995
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[211] Groups '93 Galway/St Andrews

Volume 1,

  • C. M. Campbell, E. F. Robertson, T. C. Hurley, S. J. Tobin, J. Ward
  • Paperback | Published March 1995
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[71] Groups - St Andrews 1981

[160] Groups St Andrews 1989

Volume 2,

[159] Groups St Andrews 1989

Volume 1,

[261] Groups St Andrews 1997 in Bath

Volume 2,

  • Edited by C. M. Campbell, E. F. Robertson, N. Ruskuc, G. C. Smith
  • Paperback | Published February 1999
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[260] Groups St Andrews 1997 in Bath

Volume 1,

  • Edited by C. M. Campbell, E. F. Robertson, N. Ruskuc, G. C. Smith
  • Paperback | Published February 1999
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[305] Groups St Andrews 2001 in Oxford

Volume 2,

[304] Groups St Andrews 2001 in Oxford

Volume 1,

[340] Groups St Andrews 2005

Volume 2,

  • Edited by C. M. Campbell, M. R. Quick, E. F. Robertson, G. C. Smith
  • Paperback | Published January 2007
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[339] Groups St Andrews 2005

Volume 1,

  • Edited by C. M. Campbell, M. R. Quick, E. F. Robertson, G. C. Smith
  • Paperback | Published January 2007
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[354] Groups and Analysis

The Legacy of Hermann Weyl

[207] Groups of Lie Type and their Geometries

[165] Groups, Combinatorics and Geometry

[251] Gröbner Bases and Applications

[332] Handbook of Tilting Theory

  • Edited by Lidia Angeleri Hügel, Dieter Happel, Henning Krause
  • Paperback | Published January 2007
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[162] Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

[221] Harmonic Approximation

[148] Helices and Vector Bundles

Seminaire Rudakov

[298] Higher Operads, Higher Categories

[366] Highly Oscillatory Problems

  • Edited by Bjorn Engquist, Athanasios Fokas, Ernst Hairer, Arieh Iserles
  • Paperback | Published July 2009
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[210] Hilbert C*-Modules

A Toolkit for Operator Algebraists

[203] Hochschild Cohomology of Von Neumann Algebras

[83] Homogeneous Structures on Riemannian Manifolds

[36] Homological Group Theory

[145] Homological Questions in Local Algebra

[194] Independent Random Variables and Rearrangement Invariant Spaces

[60] Integrable Systems

[336] Integral Closure of Ideals, Rings, and Modules

[8] Integration and Harmonic Analysis on Compact Groups

[30] Interaction Models

[300] Introduction to Möbius Differential Geometry

[294] Introduction to Operator Space Theory

[234] Introduction to Subfactors

[144] Introduction to Uniform Spaces

[80] Introduction to the Representation Theory of Compact and Locally Compact Groups

[199] Invariant Potential Theory in the Unit Ball of Cn

[77] Isolated Singular Points on Complete Intersections

[56] Journées Arithmétiques 1980

[299] Kleinian Groups and Hyperbolic 3-Manifolds

Proceedings of the Warwick Workshop, September 11–14, 2001

[153] L-Functions and Arithmetic

[320] L-Functions and Galois Representations

[161] Lectures on Block Theory

[114] Lectures on Bochner-Riesz Means

[180] Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

[296] Lectures on Invariant Theory

[174] Lectures on Mechanics

[113] Lectures on the Asymptotic Theory of Ideals

[335] Lectures on the Combinatorics of Free Probability

[325] Lectures on the Ricci Flow

[124] Lie Groupoids and Lie Algebroids in Differential Geometry

[25] Lie Groups and Compact Groups

[133] Linear Algebraic Monoids

[316] Linear Logic in Computer Science

  • Edited by Thomas Ehrhard, Jean-Yves Girard, Paul Ruet, Philip Scott
  • Paperback | Published November 2004
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[188] Local Analysis for the Odd Order Theorem

[98] Localization in Noetherian Rings

[189] Locally Presentable and Accessible Categories

[95] Low Dimensional Topology

[48] Low-Dimensional Topology

[178] Lower K- and L-theory

[170] Manifolds with Singularities and the Adams-Novikov Spectral Sequence

[54] Markov Processes and Related Problems of Analysis

[146] Maximal Cohen-Macaulay Modules over Cohen-Macaulay Rings

[337] Methods in Banach Space Theory

[196] Microlocal Analysis for Differential Operators

An Introduction

[130] Model Theory and Modules

[244] Model Theory of Groups and Automorphism Groups

[350] Model Theory with Applications to Algebra and Analysis

Volume 2,

  • Edited by Zoé Chatzidakis, Dugald Macpherson, Anand Pillay, Alex Wilkie
  • Paperback | Published May 2008
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[349] Model Theory with Applications to Algebra and Analysis

Volume 1,

  • Edited by Zoé Chatzidakis, Dugald Macpherson, Anand Pillay, Alex Wilkie
  • Paperback | Published May 2008
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[259] Models and Computability

[326] Modular Representations of Finite Groups of Lie Type

[359] Moduli Spaces and Vector Bundles

  • Edited by Leticia Brambila-Paz, Steven B. Bradlow, Oscar García-Prada, S. Ramanan
  • Paperback | Published May 2009
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[372] Moonshine - The First Quarter Century and Beyond

Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras

[11] New Developments in Topology

[127] New Directions in Dynamical Systems

[264] New Trends in Algebraic Geometry

[122] Non-Classical Continuum Mechanics

Proceedings of the London Mathematical Society Symposium, Durham, July 1986

[355] Non-equilibrium Statistical Mechanics and Turbulence

  • John Cardy, Gregory Falkovich, Krzysztof Gawedzki, Edited by Sergey Nazarenko, Oleg V. Zaboronski
  • Paperback | Published December 2008
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[330] Noncommutative Localization in Algebra and Topology

[283] Nonlinear Elasticity

Theory and Applications

[227] Novikov Conjectures, Index Theorems, and Rigidity

Volume 2,

  • Edited by Steven C. Ferry, Andrew Ranicki, Jonathan M. Rosenberg
  • Paperback | Published November 1995
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[226] Novikov Conjectures, Index Theorems, and Rigidity

Oberwolfach 1993
Volume 1,

  • Edited by Steven C. Ferry, Andrew Ranicki, Jonathan M. Rosenberg
  • Paperback | Published November 1995
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[235] Number Theory

Séminaire de théorie des nombres de Paris 1993–94

[215] Number Theory

Paris 1992–3

[303] Number Theory and Algebraic Geometry

[134] Number Theory and Dynamical Systems

[352] Number Theory and Polynomials

[10] Numerical Ranges II

[2] Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras

[152] Oligomorphic Permutation Groups

[136] Operator Algebras and Applications

Volume 2,

[135] Operator Algebras and Applications

Volume 1, Structure Theory; K-theory, Geometry and Topology

[55] Ordered Permutation Groups

[46] P-adic Analysis

A Short Course on Recent Work

[23] Parallelisms of Complete Designs

[364] Partial Differential Equations and Fluid Mechanics

[37] Partially Ordered Rings and Semi-Algebraic Geometry

[33] Permutation Groups and Combinatorial Structures

[318] Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations

[323] Poisson Geometry, Deformation Quantisation and Group Representations

[190] Polynomial Invariants of Finite Groups

[90] Polytopes and Symmetry

[29] Pontryagin Duality and the Structure of Locally Compact Abelian Groups

[79] Probability, Statistics and Analysis

[121] Proceedings of Groups - St. Andrews 1985

[12] Proceedings of the Symposium on Complex Analysis Canterbury 1973

[230] Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2

[217] Quadratic Forms with Applications to Algebraic Geometry and Topology

[290] Quantum Groups and Lie Theory

[164] Quasi-symmetric Designs

[367] Random Matrices: High Dimensional Phenomena

[341] Ranks of Elliptic Curves and Random Matrix Theory

  • Edited by J. B. Conrey, D. W. Farmer, F. Mezzadri, N. C. Snaith
  • Paperback | Published February 2007
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[285] Rational Points on Curves over Finite Fields

Theory and Applications

[322] Recent Perspectives in Random Matrix Theory and Number Theory

[45] Recursion Theory, its Generalisations and Applications

[94] Representaions of General Linear Groups

[69] Representation Theory

Selected Papers

[238] Representation Theory and Algebraic Geometry

[34] Representation Theory of Lie Groups

  • M. F. Atiyah, R. Bott, S. Helgason, D. Kazhdan, B. Kostant, G. Lustztig
  • Paperback | Published January 1980
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[116] Representations of Algebras

Proceedings of the Durham Symposium 1985

[168] Representations of Algebras and Related Topics

[92] Representations of Rings over Skew Fields

[185] Representations of Solvable Groups

[293] Second Order Partial Differential Equations in Hilbert Spaces

[231] Semigroup Theory and its Applications

Proceedings of the 1994 Conference Commemorating the Work of Alfred H. Clifford

[258] Sets and Proofs

[66] Several Complex Variables and Complex Manifolds II

[20] Sheaf Theory

[183] Shintani Zeta Functions

[237] Sieve Methods, Exponential Sums, and their Applications in Number Theory

[271] Singular Perturbations of Differential Operators

Solvable Schrödinger-type Operators

[201] Singularities

[324] Singularities and Computer Algebra

[276] Singularities of Plane Curves

[53] Singularity Theory

[263] Singularity Theory

Proceedings of the European Singularities Conference, August 1996, Liverpool and Dedicated to C.T.C. Wall on the Occasion of his 60th Birthday

[81] Skew Fields

[118] Skew Linear Groups

[373] Smoothness, Regularity, and Complete Intersection

[85] Solitons

[149] Solitons, Nonlinear Evolution Equations and Inverse Scattering

[108] Some Topics in Graph Theory

[329] Spaces of Kleinian Groups

[268] Spectral Asymptotics in the Semi-Classical Limit

[314] Spectral Generalizations of Line Graphs

On Graphs with Least Eigenvalue -2

[273] Spectral Theory and Geometry

[76] Spectral Theory of Linear Differential Operators and Comparison Algebras

[171] Squares

[240] Stable Groups

[301] Stable Modules and the D(2)-Problem

[167] Stochastic Analysis

Proceedings of the Durham Symposium on Stochastic Analysis, 1990

[216] Stochastic Partial Differential Equations

[100] Stopping Time Techniques for Analysts and Probabilists

[315] Structured Ring Spectra

[38] Surveys in Combinatorics

[307] Surveys in Combinatorics 2003

[327] Surveys in Combinatorics 2005

[346] Surveys in Combinatorics 2007

[365] Surveys in Combinatorics 2009

  • Edited by Sophie Huczynska, James D. Mitchell, Colva M. Roney-Dougal
  • Paperback | Published July 2009
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[141] Surveys in Combinatorics, 1989

Invited Papers at the Twelfth British Combinatorial Conference

[166] Surveys in Combinatorics, 1991

[187] Surveys in Combinatorics, 1993

[218] Surveys in Combinatorics, 1995

[241] Surveys in Combinatorics, 1997

[267] Surveys in Combinatorics, 1999

[288] Surveys in Combinatorics, 2001

[347] Surveys in Contemporary Mathematics

[338] Surveys in Geometry and Number Theory

Reports on Contemporary Russian Mathematics

[321] Surveys in Modern Mathematics

[87] Surveys in Set Theory

[74] Symmetric Designs

An Algebraic Approach

[255] Symmetries and Integrability of Difference Equations

[192] Symplectic Geometry

[333] Synthetic Differential Geometry

2nd Edition

[248] Tame Topology and O-minimal Structures

[198] The Algebraic Characterization of Geometric 4-Manifolds

[249] The Atlas of Finite Groups - Ten Years On

[61] The Core Model

[232] The Descriptive Set Theory of Polish Group Actions

[143] The Ergodic Theory of Discrete Groups

[142] The Geometry of Jet Bundles

[200] The Grothendieck Theory of Dessins d'Enfants

[297] The Homotopy Category of Simply Connected 4-Manifolds

[236] The James Forest

[274] The Mandelbrot Set, Theme and Variations

[334] The Navier-Stokes Equations

A Classification of Flows and Exact Solutions

[129] The Subgroup Structure of the Finite Classical Groups

[202] The Technique of Pseudodifferential Operators

[370] The Theory of p-Adic Distributions

Linear and Nonlinear Models

[24] The Topology of Stiefel Manifolds

[253] The q-Schur Algebra

[291] Tits Buildings and the Model Theory of Groups

[310] Topics in Dynamics and Ergodic Theory

[16] Topics in Finite Groups

[279] Topics in Symbolic Dynamics and Applications

[163] Topics in Varieties of Group Representations

[42] Topics in the Theory of Group Presentations

[287] Topics on Riemann Surfaces and Fuchsian Groups

[86] Topological Topics

Articles on Algebra and Topology Presented to Professor P J Hilton in Celebration of his Sixtieth Birthday

[308] Topology, Geometry and Quantum Field Theory

Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal

[313] Transcendental Aspects of Algebraic Cycles

Proceedings of the Grenoble Summer School, 2001

[348] Transcendental Dynamics and Complex Analysis

[353] Trends in Stochastic Analysis

[119] Triangulated Categories in the Representation of Finite Dimensional Algebras

[197] Two-Dimensional Homotopy and Combinatorial Group Theory

  • Edited by Cynthia Hog-Angeloni, Wolfgang Metzler, Allan J. Sieradski
  • Paperback | Published December 1993
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[32] Uniform Algebras and Jensen Measures

[126] Van der Corput's Method of Exponential Sums

[97] Varieties of Constructive Mathematics

[208] Vector Bundles in Algebraic Geometry

[132] Whitehead Groups of Finite Groups

[361] Words

Notes on Verbal Width in Groups

[44] ZZ/2 - Homotopy Theory

[360] Zariski Geometries

Geometry from the Logician's Point of View

[246] p-Automorphisms of Finite p-Groups