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Cambridge studies in advanced mathematics

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Cambridge studies in advanced mathematics

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Editorial board, as of 1998: D.J.H. Garling, W. Fulton, T. tom Dieck, P. WaltersEditorial board, as of 2004: B. Bollobas, W. Fulton, A. Katok, F. Kirw...

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Table of Contents

  • Representation theory of Artin algebras

  • Additive combinatorics

  • Algebraic automata theory

  • Lectures on Arakelov geometry

  • Local cohomology : an algebraic introduction with geometric applications

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Paper

Material Type
図書
Publication, Distribution, etc.
Place of Publication (Country Code)
uk
Target Audience
一般
Note (General)
Editorial board, as of 1998: D.J.H. Garling, W. Fulton, T. tom Dieck, P. Walters
Editorial board, as of 2004: B. Bollobas, W. Fulton, A. Katok, F. Kirwan, P. Sarnak
Related Material
Representation theory of Artin algebras
Additive combinatorics
Algebraic automata theory
Lectures on Arakelov geometry
Local cohomology : an algebraic introduction with geometric applications
Basic theory and examples
Classical and multilinear harmonic analysis
Basic representation theory of finite groups and associative algebras
Representations and characters of finite groups
Fourier analysis and Hausdorff dimension
Higher categories and homotopical algebra
Algebraic groups : the theory of group schemes of finite type over a field
An introduction to the theory of the Riemann zeta-function
An introduction to random matrices
Geometry, counting of points and local harmonic analysis
Cohen-Macaulay rings
Automorphic forms, trace formulas and Langlands correspondence
Groups acting on graphs
Introduction to model spaces and their operators
Spinning tops : a course on integrable systems
A user's guide to spectral sequences
Cohomology of groups and modules
Topics in metric fixed point theory
Enumerative combinatorics
Lectures on vector bundles
Spectral theory and differential operators
Introduction to the construction of class fields
An introduction to nonlinear analysis
Galois representations and (φ, Γ)-modules
Analytic combinatorics in several variables
Stochastic analysis : Itô and Malliavin calculus in tandem
Linear algebraic groups and finite groups of Lie type
Lectures on logarithmic algebraic geometry
Special functions and orthogonal polynomials
Eisenstein series and automorphic representations with applications in string theory
Stochastic flows and stochastic differential equations
Cohomological methods in transformation groups
Modular forms and Galois cohomology
Association schemes : designed experiments, algebra and combinatorics
Character theory and the McKay conjecture
Introduction to higher order categorical logic
A comprehensive introduction to sub-Riemannian geometry : from the Hamiltonian viewpoint
Positive harmonic functions and diffusion
A primer of nonlinear analysis
Banach spaces for analysts
Basic theory and examples
Finite group theory
Groups acting on graphs
Spectral theory and differential operators
Ultrametric calculus : an introduction to p-adic analysis
Set theory
Lévy processes and infinitely divisible distributions
Lectures on Arakelov geometry
Characteristic classes and the cohomology of finite groups
Absolutely summing operators
Introduction to analytic and probabilistic number theory
Geometric control theory
Gaussian processes on trees : from spin glasses to branching Brownian motion
Association schemes : designed experiments, algebra and combinatorics
Galois groups and fundamental groups
Modern analysis of automorphic forms by example
Lévy processes and stochastic calculus
Algebraic number theory
Natural dualities for the working algebraist
Nonlinear analysis and semilinear elliptic problems
Uniform central limit theorems
Representations of groups : a computational approach
Central simple algebras and Galois cohomology
Lie algebras of finite and affine type
Discrete harmonic analysis : representations, number theory, expanders, and the Fourier transform
Cellular structures in topology
Geometric analysis
Quantum fields and processes : a combinatorial approach
The theory of fusion systems : an algebraic approach
Representation theory of the symmetric groups : the Okounkov-Vershik approach, character formulas, and partition algebras
Categories and modules with K-theory in view
Cellular structures in topology
Random walk : a modern introduction
Automorphic forms, trace formulas and Langlands correspondence
Random Graphs
Linear operators and their spectra
Mathematical Logic
Automorphic forms and L-functions for the group GL(n, R)
Models and games
Enumerative combinatorics
Langlands correspondence for loop groups
Uniform central limit theorems
Fourier analysis and partial differential equations
Analytic pro-p groups
An introduction to homological algebra
Enumerative combinatorics
Galois theories
An introduction to the theory of reproducing kernel Hilbert spaces
Geometric control theory
Complex analysis
Practical foundations of mathematics
Introduction to foliations and Lie groupoids
The logarithmic integral
Automorphic forms and representations
Real analysis and probability
Mathematical Logic
Geometry of sets and measures in euclidean spaces : fractals and rectifiability
Classical theory
Wavelets and operators
Multidimensional stochastic processes as rough paths : theory and applications
Optimal control and geometry : integrable systems
An introduction to nonlinear analysis
Lectures on K3 surfaces
Cohomology of groups and modules
Positive harmonic functions and diffusion
Sets of finite perimeter and geometric variational problems : an introduction to geometric measure theory
(1 + 1)-dimensional continuous models
Wavelets : Calderón-Zygmund and multilinear operators
Representation theory : a combinatorial viewpoint
Tolerance graphs
Spinning tops : a course on integrable systems
Ergodic theory
The character theory of finite groups of Lie type : a guided tour
Toeplitz matrices and operators
p-adic differential equations
Algebraic groups : the theory of group schemes of finite type over a field
An introduction to infinite-dimensional differential geometry
Algebraic groups and number theory
Enumerative combinatorics
Analytic combinatorics in several variables
Introductory lectures on Siegel modular forms
Lévy processes and stochastic calculus
Classical theory
Some random series of functions
Formal geometry and bordism operations
An introduction to the theory of the Riemann zeta-function
Geometry of sets and measures in euclidean spaces : fractals and rectifiability
Holomorphic dynamics
Hodge theory and complex algebraic geometry
An introduction to invariants and moduli
Period mappings and period domains
Markov processes, Gaussian processes, and local times
Modular forms and Galois cohomology
Additive combinatorics
Differential topology
Reflection groups and Coxeter groups
Explicit Brauer induction with applications to algebra and number theory
Fractals in probability and analysis
Local representation theory : modular representations as an introduction to the local representation theory of finite groups
Explicit Brauer induction with applications to algebra and number theory
Period mappings and period domains
Local cohomology : an algebraic introduction with geometric applications
An introduction to contact topology
Harmonic analysis on finite groups : representation theory, Gelfand pairs and Markov chains
Geometry, counting of points and local harmonic analysis
Zeta functions of graphs : a stroll through the garden
Martingales in Banach spaces
An introduction to Lie groups and Lie algebras
Special functions : a graduate text
Lévy processes and infinitely divisible distributions
Finite group theory
An introduction to invariants and moduli
Completely bounded maps and operator algebras
Automorphic representations and L-functions for the general linear group
Calculus of variations
Stone spaces
Unit equations in diophantine number theory
Finite group theory
Riemannian geometry : a modern introduction
Set theory
Automorphic forms and L-functions for the group GL(n, R)
An outline of ergodic theory
Commutative algebra
The three-dimensional Navier-Stokes equations : classical theory
Multidimensional real analysis
Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations : fractal dimensions and infinitely many attractors
Representation theory of Artin algebras
Basic category theory
Foundations of ergodic theory
Analytic pro-p groups
Groups as Galois groups : an introduction
Analysis in integer and fractional dimensions
(1 + 1)-dimensional discrete models
Ultrametric calculus : an introduction to p-adic analysis
Erdős-Ko-Rado theorems : algebraic approaches
Mathematical aspects of quantum field theory
p-adic differential equations
Analysis on Lie groups : an introduction
Central simple algebras and galois cohomology
Uniform central limit theorems
Introductory lectures on Siegel modular forms
Topics in metric fixed point theory
Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations : fractal dimensions and infinitely many attractors
Markov processes, Gaussian processes, and local times
Ergodic theory
Stochastic flows and stochastic differential equations
Reflection groups and Coxeter groups
Clifford algebras and Dirac operators in harmonic analysis
Quasiconformal surgery in holomorphic dynamics
Lectures on Lyapunov exponents
An introduction to rings and modules : with K-theory in view
A primer of nonlinear analysis
An introduction to homological algebra
Mathematical tools for one-dimensional dynamics
Complex topological K-theory
Commutative algebra
Automorphic forms and representations
An introduction to Lie groups and Lie algebras
Geometry and complexity theory
Banach spaces for analysts
Global methods for combinatorial isoperimetric problems
Representations of nilpotent Lie groups and their applications
Cohomological methods in transformation groups
Partial differential equations for probabilists
Algebraic number theory
Random fragmentation and coagulation processes
Basic representation theory of finite groups and associative algebras
Clifford algebras and Dirac operators in harmonic analysis
Algebraic homotopy
Local cohomology : an algebraic introduction with geometric applications
Groups as Galois groups : an introduction
Hodge theory and complex algebraic geometry
Cohen-Macaulay rings
Local representation theory : modular representations as an introduction to the local representation theory of finite groups
Introduction to higher order categorical logic
Commutative ring theory
Algebraic automata theory
An introduction to harmonic analysis on semisimple Lie groups
Stone spaces
Commutative ring theory
Some random series of functions
Partial differential equations for probabilists
Cox rings
The logarithmic integral
Eigenvalues and s-numbers
Representations of the infinite symmetric group
Spectral theory and its applications
Complex polynomials
Introduction to banach spaces : analysis and probability
Locally convex spaces over non-Archimedean valued fields
Galois theories
Hardy spaces
A course in finite group representation theory
An introduction to harmonic analysis on semisimple Lie groups
Rational and nearly rational varieties
Clifford algebras and the classical groups
Fourier analysis and partial differential equations
Singularly perturbed methods for nonlinear elliptic problems
Homological theory of representations
Elements of [infinity]-category theory
Schrödinger operators : eigenvalues and Lieb-Thirring inequalities
Homological methods in Banach space theory
Complex algebraic threefolds
Equivariant cohomology in algebraic geometry
The Bellman function technique in harmonic analysis
Foundations of stable homotopy theory
Fourier restriction, decoupling, and applications
An introduction to probabilistic number theory
Dimension groups and dynamical systems : substitutions, Bratteli diagrams and Cantor systems
Polynomial methods and incidence theory
Symmetry in graphs
Functional analysis
Geometric inverse problems : with emphasis on two dimensions
The geometry of cubic hypersurfaces
Enumerative combinatorics
Polytopes and graphs
From categories to homotopy theory
Higher index theory
Derived categories
Lectures on random lozenge tilings
Basic representation theory of finite groups and associative algebras
Enumerative combinatorics
Optimal mass transport on Euclidean spaces
Generators of Markov chains : from a walk in the interior to a dance on the boundary
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