University of Waterloo Library

The accompanying Collection Development Policy statement is submitted by Dan Sich, Liaison Librarian for the Department of Applied Mathematics, Department of Pure Mathematics, Department of Combinatorics & Optimization and Department of Statistics & Actuarial Science and is approved by the undersigned.

______

Associate University Librarian, Liaison Librarian

Information Resources & Services

______

Department of Applied Mathematics Chair Department of Applied Mathematics

Representative

______

Department of Pure Mathematics Chair Department of Pure Mathematics

Representative

______

Department of Combinatorics & Department of Combinatorics &

Optimization Chair Optimization Representative

______

Department of Satistics & Actuarial Science Department of Statistics & Actuarial

Chair Science Representative

Date: March 15, 2007

University of Waterloo Library

Collection Development Policy statement for Applied Mathematics, Pure Mathematics, Combinatorics & Optimization and Statistics & Actuarial Science.

Date Completed: August 3, 2006

Persons Responsible for Collection

The decision to select library materials is the responsibility of the Liaison Librarian, Dan Sich, in consultation with the Faculty Library Representatives, for Applied Mathematics, Pure Mathematics, Combinatorics & Optimizations and Statistics & Actuarial Science. See http://www.lib.uwaterloo.ca/facultyinfo/index.html for a list of Faculty Library Representatives.

Department Description and Purpose

Materials are collected to support teaching and research to the PhD level in Applied Mathematics, Pure Mathematics, Combinatorics & Optimization and Statistics & Actuarial Science. Research areas of interest to these Departments include:

Applied Mathematics:
Computational Mathematics
Control Theory
Differential Equations and Dynamical Systems
Environmental and Geophysical Fluid Dynamics
Mathematical Physics:
Quantum Theory
Relativity and Cosmology
Mathematics in Medicine and Biology
Scientific Computation
Signal and Image Processing /
Combinatorics & Optimization:
Cryptography (including Elliptic Curve Cryptography)
Enumeration (including Algebraic Combinatorics)
Combinatorial Design
Graph Theory
Linear Programming
Nonlinear Optimization

Operations Research

Combinatorial Optimization
Quantum Computing
Statistics & Actuarial Science:
Statistics
Actuarial Science
Biostatistics
Finance
Statistical Computing
Statistics in Environmental Science
Statistics in Industry
Survey Methods
Statistical Consulting / Pure Mathematics:
Algebra and Logic
Analysis and Functional equations
Number Theory
Geometry and Topology

Scope of Coverage

Languages

For core materials, the emphasis is on English. Materials in other languages are collected if relevant.

Dates of Publication

Emphasis is on current publications.

Types and Formats of Materials Collected

In general, the Library does not acquire materials in a format for which access cannot be provided in the Library.

Included

The following types of materials are generally included: books, textbooks, and periodicals in print or electronic format as appropriate.

Collected Selectively

The following types of materials are collected selectively: reference works, conference proceedings, symposia, dissertations and theses.

Excluded

The following types of materials are excluded: reprints.

Subjects Collected
(For further explanation about Basic, Instructional and Research collecting levels see Appendix 1)

The following utilizes the Mathematics Subject Classification (MSC) from Mathematical Reviews, Current Mathematical Publications, and MathSciNet. (see http://www.ams.org/msc/)

General Basic

History and Biography Basic

Mathematical Logic and Foundations Research

Set Theory (03EXX) Research

Combinatorics Research

Enumerative Combinatorics Research

Graph Theory Research

Extremal Combinatorics Research

Algebraic Combinatorics Research

Order, Lattices, Ordered Algebraic Structures Research

General Algebraic Systems Research

Number Theory Research

Finite Fields and Commutative Rings (Number-Theoretic Aspects) Research

Algebraic Coding Theory; Cryptography Research

Field Theory and Polynomials Research

Commutative Rings and Algebras Research

Algebraic Geometry Research

Linear and Multilinear Algebra; Matrix Theory Research

Associative Rings and Algebras Research

Nonassociative Rings and Algebras Research

Category Theory; Homological Algebra Research

K-Theory Research

Group Theory and Generalizations Research

Topological Groups, Lie Groups Research

Real Functions Research

Measure and Integration Research

Functions of a Complex Variable Research

Potential Theory Research

Several Complex Variables and Analytic Spaces Research

Special Functions Research

Ordinary Differential Equations Research

Partial Differential Equations Research

Dynamical Systems and Ergodic Theory Instructional

Difference and Functional Equations Research

Sequences, Series, Summability Research

Approximations and Expansions Research

Fourier Analysis Research

Abstract Harmonic Analysis Research

Integral Transforms, Operational Calculus Research

Integral Equations Research

Functional Analysis Research

Operator Theory Research

Calculus of Variations and Optimal Control; Optimization Research

Geometry Research

Convex and Discrete Geometry Research

Differential Geometry Research

Algebraic Topology Research

Manifolds and Cell Complexes Research

Global Analysis, Analysis on Manifolds Research

Probability Theory and Stochastic Processes Research

Foundations of Probability Theory Research

Probability Theory on Algebraic and Topological Structures Instructional

Combinatorial Probability Research

Geometric Probability, Stochastic Geometry, Random Sets Research

Distribution Theory Research

Limit Theorems Research

Stochastic Processes Research

Stochastic Analysis Research

Markov Processes Research

Special Processes Research

Statistics Research

Foundational and Philosophical Topics Research

Sufficiency and Information Research

Decision Theory Research

Bayesian problems; characterization of Bayes procedures Research

Empirical decision procedures; empirical Bayes procedures Research

Sampling Theory, Sample Surveys Research

Distribution Theory Research

Parametric Inference Research

Bayesian inference Research

Bootstrap, jackknife and other resampling methods Research

Nonparametric Inference Research

Multivariate Analysis Research

Linear Inference, Regression Research

Design of Experiments Research

Sequential Methods Research

Inference from Stochastic Processes Research

Time Series, Auto-Correlation, Regression, etc. Research

Quality Control Research

Applications Research

Applications to Actuarial Sciences and Financial Mathematics Research

Applications to biology and medical sciences Research

Applications to environmental and related topics Research

Applications to psychology Research

Applications to economics Research

Applications to social sciences Research

Applications in engineering and industry Research

Applications to physics Research

Statistical Tables Research

Numerical Analysis Instructional

Tables Instructional

Acceleration of Convergence Instructional

Probablistic Methods, Simulation and Stochastic Differential Equations Instructional

Numerical Approximation and Computational Geometry (Primarily Instructional

Algorithms)

Numerical Methods in Complex Analysis (Potential Theory, etc.) Instructional

Numerical Linear Algebra Instructional

Eigenvalues, Eigenvectors Instructional

Error Analysis and Interval Analysis Instructional

Nonlinear Algebraic or Transcendental Equations Instructional

Numerical Analysis in Abstract Spaces Instructional

Mathematical Programming, Optimization and Variational Techniques Instructional

Ordinary Differential Equations Research

Partial Differential Equations, Initial Value and Time-Dependent Initial- Research

Boundary Value Problems

Computer Science Instructional

Mechanics of Particles and Systems Research

Mechanics of Solids Basic

Fluid Mechanics Research

Optics, Electromagnetic Theory Instructional

Classical Thermodynamics, Heat Transfer Basic

Quantum Theory Research

Statistical Mechanics, Structure of Matter Research

Relativity and Gravitational Theory Research

General Relativity Research

Cosmology Research

Astronomy and Astrophysics Research

Cosmology Research

Operations Research, Mathematical Programming Research

Mathematical Programming Research

Boolean Programming Research

Quadratic Programming Basic

Semidefinite Programming Research

Convex Programming Instructional

Combinatorial Optimization Research

Programming Involving Graphs or Networks Research

Game Theory, Economics, Social and Behavioral Sciences Basic

Game Theory Basic

Mathematical Economics Basic

Risk Theory, Insurance Instructional

Macro-Economic Models (Monetary Models, Models of Taxation) Instructional

Biology and Other Natural Sciences Instructional

Physiological, Cellular and Medical Topics Research

Genetics and Population Dynamics Research

Mathematical Sociology (Including Anthropology) Basic

Other Social and Behavioral Sciences (Mathematical Treatment) Instructional

System Theory; Control Research

Information and Communication, Circuits Instructional

Communication, Information Instructional

Shift Register Sequences and Sequences Over Finite Alphabets Instructional

Cryptography Research

Theory of Error-Correcting Codes and Error-Detecting Codes Instructional

All collections are systematically reviewed for currency of information and to ensure that essential and important resources are retained. Superseded editions and titles containing outdated information are withdrawn as necessary. Classic retrospective materials are retained and preserved to serve the needs of historical research.

Library of Congress Outline – Mathematics (*excluding Computer Science)

HA Statistics

HG Finance

QA Mathematics (*excluding Computer Science)

* Computer Science is QA75 & QA76

Other Resources Available

The Library explores opportunities for collaborative purchases with the Ontario Council of University Libraries and the Canadian Research Knowledge Network.

Appendix 1

Explanation of Levels of Collecting, adapted from RLG Guidelines

Levels of Collecting

Out of Scope

Materials to support research and curricula in this subject area are not covered in this Collection Policy Statement. Coverage of interdisciplinary subject areas and topics linked across departments can be identified with references to other Collection Policy Statements.

Basic Information/Reference Level

The collection serves to introduce and define the subject. Only the most important reference works, general surveys, the most significant works of major authors, and a limited selection of representative general periodicals are collected.

Instructional Support Level (Undergraduate)

The collection supports all courses of undergraduate study. Materials collected include a wide range of reference works, fundamental bibliographic tools, and an extensive collection of monographs and periodicals. Access to owned or remotely-accessed electronic resources, including texts, journals, data sets, etc. is provided.

Research Level

The collection includes major published source materials required for master’s degree programmes, doctoral study and independent research in the subject. All formats, including appropriate foreign-language titles, are acquired. Historically important monographs, archival materials, and back-runs of serials are acquired as necessary.

Page 7 of 7