Purpose of Collection:

The Mathematics & Statistics collection at MacOdrum Library supports the research activities of faculty, students and staff and the instructional requirements of undergraduate and graduate programs. Mathematics & Statistics is an area of studies within the Faculty of Science. As such, the collection also provides support for, and draws from teaching and research in a wide variety of related fields such as Physics, Data Science, Computer Science and others.

For concrete examples of our collections in action, please visit our Mathematics & Statistics subject guide.

Academic Departments & Programs Supported:

Themes/Subject Coverage

Select material of an acceptable scholarly or professional standard from academic or university presses; also publications from research institutions, associations, organizations, federal and provincial governments, agencies and international organizations in the following subject fields:

Foundations/general:

  • Mathematical logic and foundations
  • Set theory
  • Probability
  • Mathematical education

Algebra:

  • group theory (especially, representation theory of groups, linear algebraic groups, Lie groups) and semigroup theory
  • Lie algebras (in particular, infinite-dimensional Lie algebras and their representations)
  • number theory (in particular, algebraic number theory, automorphic forms, forms and linear algebraic groups, arithmetic algebraic geometry)
  • finite fields
  • representation theory of algebras
  • special types of algebras (vertex operator algebras, finite dimensional algebras, group algebras and semigroup algebras)

Analysis:

  • Functional analysis
  • Harmonic analysis (in particular abstract harmonic analysis)
  • Operator theory
  • Generalized functions
  • Nonlinear dynamics
  • Banach and operator algebras

Geometry:

  • Foundations of geometry
  • Finite geometry
  • Algebraic geometry
  • Topology

Applied Mathematics:

  • Discrete Mathematics:
    • Combinatorial designs
    • Finite fields
    • Coding theory
    • Cryptography
    • Graph theory
    • Optimization
    • Automata
    • Combinatorial enumeration
    • Combinatorics
  • Applied Analysis:
    • Differential equations and applications
    • Difference equations
    • Integral equations
    • Nonlinear dynamics
    • Asymptotic and perturbation methods
    • Fluid dynamics
    • Hydrodynamic stability
    • Numerical analysis
    • Numerical methods for differential equations
    • Partial and ordinary differential equations
    • Mathematical physics
    • Optimal control
    • Nonlinear dynamics
    • Dynamical systems
    • Geometric mechanics

Statistics and Probability:

  • Biostatistics
  • Sampling
  • Applied statistics in medicine
  • Sampling methods
  • Probability theory
  • Applied probability
  • Stochastic models
  • Queuing theory and simulation
  • Nonparametric estimation
  • Nonparametric hypothesis testing
  • Order statistics
  • Order restricted inference
  • Stochastic processes
  • Limit theorems
  • Stochastic modeling
  • Statistical inference
  • Operations research

Other Areas

In consultation with subject specialists in the areas of physics, engineering, business, computer science, biomedical science, and biology, items may be collected in the following:

  • Physical and Natural Sciences: Fluid mechanics, quantum dynamics, mathematical physics, biophysics, mathematical biology
  • Engineering & Computational Sciences: Cryptography, coding theory, data mining, computational complexity, queuing theory, combinatorial optimization, control theory, error correcting codes, computational fluid dynamics
  • Gaming: game theory, mathematical gambling
  • Statistical Learning Theory, Data Mining, Data Science: Analysis of Massive Data, Bioinformatics, Computational Statistics (or Computer-Intensive Statistics), Spatial Statistics, Time Series, Functional Data Analysis, Design and Analysis of Experiments, Generalized Linear Models, Generalized Additive Models, Categorical Data Analysis, Longitudinal Data Analysis.

Selection Guidelines

Chronological

Current

Geographical

Unrestricted

Language

Primarily English, including translations into English from other languages such as Russian, German, French, and Japanese. Foreign language materials are collected selectively and on the recommendation of faculty.

Format

Books, journals, reference materials such as handbooks. Some reprints and collected papers of famous mathematicians may be purchased. Conference proceedings are collected selectively. Electronic formats are preferred.

Exclusions

  • Popular material, most biographies and introductory mathematics textbooks.

Additional Collection Information

Related Collection Profiles

Content last reviewed: