**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:

- Undergraduate Programs in Mathematics and Statistics
- Graduate Programs in Mathematics and Statistics
- Interdisciplinary/Collaborative/Specialized Programs
- The Ottawa-Carleton Institute for Mathematics and Statistics (OCIMS) offers joint programs with the University of Ottawa

## 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.