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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.













____________________________________


______________________________

Ass
ociate

University Librarian,






Liaison Librarian

Information Resources

& Services




















____________________________________


______________________________

Department of Applied Mathematics Chair



Department of Applied Mathematics

Representative






____________________________________


______________________________

Departm
ent 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

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Unive
rsity of Waterloo

Library



Collection Development Policy statement for

Applied Mathematics,
Pure Mathematics, Combinatorics & Optimization and Statistics &
Actuarial Science
.


Date Completed:

August 3, 2006



Persons Respon
sible for Collection


The decision to select library materials is the responsibi
lity of the Liaison Librarian,
Dan Sich
, in
consultation with the Faculty Library Representative
s
,
for
Applied Mathematics, Pure Mathematics,
Combinatorics & Optimizations

and

Statistics & Actuarial Science
.

See
http://www.lib.uwaterloo.ca/facultyinfo/index.ht ml

for a list

of Faculty Library Representatives.



Department Description and Purpose


Materials are c
ollected 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:

Computatio
nal 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 Ima
ge 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:

A
lgebra and
Logic

Analysis and Functional equations

Number Theory

Geometry and Topology




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Scope of Coverage


Languages


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


Dates of Publication


Emphasi
s 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


T
he 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 Math
ematical 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

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Enumerative Combinatorics











Research

Graph Theory














Research

Extremal Combinatorics












Research

Algebraic Combinatorics












Resear
ch

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; Crypto
graphy






Research

Field Theory and Polynomials













Research

Commutative Rings and Algebras












Research

Algebraic Geometry















Research

Linear and Multilinear Algebra; Matrix Theory









Research

Associative Rings and Algebra
s












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

S
pecial Functions















Research

Ordinary Differential Equations












Research

Partial Differential Equations













Research

Dynamical Systems and Ergodic Theory










Instructional

Difference and Functional Equations











Resea
rch

Sequences, Series, Summability












Research

Approximations and Expansions












Research

Fourier Analysis
















Research

Abstract Harmonic Analysis













Research

Integral Transforms, Operational Calculus










Research

In
tegral Equations















Research

Functional Analysis















Research

Operator Theory
















Research

Calculus of Variations and Optimal Control; Optimization







Research

Geometry

















Research

Convex and Discrete Geometr
y












Research

Differential Geometry















Research

Algebraic Topology















Research

Manifolds and Cell Complexes













Research

Global Analysis, Analysis on Manifolds











Research

Probability Theory and Stochastic Proce
sses










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

Statisti
cs

















Research

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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 othe
r resampling methods







Research

Nonparametric Inference












Research

Multivariate Analysis













Research

Linear Inference, Regression











Research

Design of Experiments












Research

Sequential Methods













Research

Inf
erence from Stochastic Processes









Research

Time Series, Auto
-
Correlation, Regression, etc.





Research

Quality Control












Research

Applications















Research

Applications to Actuarial Sciences and Financial Mathematics


Research

Ap
plications 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

A
pplications 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 Analys
is in Abstract Spaces









Instructional

Mathematical Programming, Optimization and Variational Techniques


Instructional

Ordinary Differential Equations










Research

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

Researc
h

Boundary Value Problems

Computer Science















Instructional

Mechanics of Particles and Systems











Research

Mechanics of Solids















Basic

Fluid Mechanics
















Research

Optics, Electromagnetic Theory












Instruct
ional

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

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Cosmology















Research

Operations Research, Mathematical Programming








Research

Mathematical Programming











Research

Boolean Programming










Resear
ch

Quadratic Programming










Basic

Semidefinite Programming









Research

Convex Programming











Instructional

Combinatorial Optimization









Research

Programming Involving Graphs or Networks






Research

Game Theory, Economics, Social a
nd 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 Scien
ces











Instructional

Physiological, Cellular and Medical Topics








Research

Genetics and Population Dynamics










Research

Mathematical Sociology (Including Anthropology)






Basic

Other Social and Behavioral Sciences (Mathematical Treatmen
t)



Instructional

System Theory; Control














Research

Information and Communication, Circuits










Instructional

Communication, Information











Instructional

Shift Register Sequences and Sequences Over Finite Alphabets

Instructional

Cry
ptography












Research

Theory of Error
-
Correcting Codes and Error
-
Detecting Codes




Instructional


All collec
tions are
systematically reviewed for currency of information and to ensure that essential and important
resources are retained. Supersede
d editions and titles containin
g 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 explore
s

opportunities for collaborative purchases with the
Ontario Council of University
Libraries
an
d the
Canadian Research Knowledge Network
.








Appendix 1

Expla
nation of Levels of Collecting,
adapted from RLG Guidelines


Levels of Collecting



Out of Scope

M
aterials
to
support research and curricula
in this subject area are not covered in this Collection Policy
Statement
.
Coverage of
interd
isciplinary
subject areas
and
topics
linked
across departments can be
identified with
references to other C
ollection
P
olicy
S
tatement
s.


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Basic Information/Reference Level

The collection serves to introduce and define the subject. Only the most importan
t 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 undergradua
te 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 mon
ographs, archival materials, and back
-
runs of serials are
acquired as necessary.