# Mathematics

Overview of the printed and electronic resources in mathematics and statistics.

The Mathematics and Natural Sciences Library offers a variety of printed and electronic books, journals, reference books and data bases in mathematics and statistics. Feel free to contact the library for guidance in literature search.

#### New titles in Mathematics

## Find the right shelf

Books in mathematics are sorted by the Dewey Decimal Classification, with numbers that start with 51. Click the links below to search whole categories in Oria. Some of the most important sub classes are also listed below.

#### 510 General mathematics

#### 511 General principles of mathematics

#### 512 Algebra

- 512.02 Abstract Algebra
- 512.2 Groups and group theory
- 512.3 Fields
- 512.4 Rings
- 512.5 Linear algebra
- 512.6 Category theory, homological algebra, K-theory
- 512.7 Number theory

#### 514 Topology

#### 515 Analysis

- 515.2 General aspects of analysis
- 515.3 Differential calculus and equations: 515.35 Differential equations ( 515.352 Ordinary | 515.353 Partial)
- 515.4 Integral calculus and equations
- 515.6 Other analytic methods: 515.62 Calculus of finite differences; 515.63 Vector, tensor and spinor analysis; 515.64 Calculus of variations
- 515.7 Functional analysis
- 515.9 Functions of complex variables

#### 516 Geometry

#### 518 Numerical analysis

Many books have chapters on numerical analysis related to the main theme of the book. If, for example, a book is mainly about differential equations, with perhaps a chapter about numerical solutions, it will be found under differential equations (515.35) - if it's primarily about numerical solution of differential equations it will be found under 518.63 (ODEs) or 518.64 (PDEs).

- 518.0285 Programs for numerical analysis (Matlab, Octave, etc) and programming (Numerical Recipes, GSL).
- 518.2 Specific methods, e.g. 518.25 finite elements, 518.282 Monte Carlo.
- 518.43 Numerical linear algebra
- 518.6 Numerical methods in analysis

#### 519 Probabilities and applied mathematics

## Electronic Curriculum

For some of the courses in mathematics and statistics, the required and recommended literature is available electronically via the University Library. The links below lead to the library's search engine Oria. You can access the text by clicking on the "View It" tab.

#### MAT214 Complex Analysis

#### MAT215 Theory of Measure and Integration

#### MAT224 Commutative Algebra

#### MAT235 Vector and Tensor Analysis

#### MAT243 Manifolds

#### MAT244 Algebraic Topology

#### MAT252 Continuum Mechanics

- E B Tadmor.
*Continuum Mechanics and Thermodynamics: From Fundamental Concepts to Governing Equations* - J Lubliner.
*Introduction to Solid Mechanics: An Integrated Approach* - P K Kundu.
*Fluid Mechanics (4. edition)*

#### MAT254 Flow in Porous Media

#### MAT260 Scientific Computing 2

- A Quarteroni, R Sacco, F Saleri.
*Numerical mathematics* - A Quarteroni, P Gervasio, F Saleri.
*Scientific Computing with MATLAB and Octave*

#### MAT322 Algebraic Geometry II

#### MAT330 Topics in Applied and Computational Mathematics

#### MAT344 Cohomology

#### MAT360 Finite Element Methods and Domain Decomposition

#### STAT110 Basic Course in Statistics

#### STAT111 Statistical Methods

#### STAT200 Applied Statistics

- P Dalgaard.
*Introductory statistics with R* - G Smith et al.
*Mixed effects models and extensions in ecology with R* - B Shahbaba.
*Biostatistics with R* - N H Bingham, J M Fry.
*Regression Linear Models in Statistics* - L Fahrmeir et al.
*Regression : Models, Methods and Applications* - J L Devore, K N Berk.
*Modern Mathematical Statistics with Applications*

#### STAT201 Generalised Linear Models

- L Fahrmeir et al.
*Regression : Models, Methods and Applications* - A J Dobson, A G Barnett.
*An Introduction to Generalized Linear Models*

#### STAT202 Biostatistics

- R S McCrea, B J T Morgan.
*Analysis of capture-recapture data* - S T Buckland.
*Distance sampling: methods and applications* - N M Laird, C Lange.
*The Fundamentals of Modern Statistical Genetics* - C Ritz, J C Streibig.
*Nonlinear Regression with R*

#### STAT211 Time Series

#### STAT220 Stochastic Processes

#### STAT230 Life Insurance Mathematics

- R Nordberg.
*Basic Life Insurance Mathematics* - R Nordberg.
*Exercises in Life Insurance Mathematics* - R Korn, E Korn, G Kroisandt.
*Monte Carlo Methods and Models in Finance and Insurance* - M Koller.
*Life insurance risk management essentials*

#### STAT231 Non-Life Insurance Mathematics

**STAT240 Theory of Finance**

**STAT310 Multivariate Analysis**

## Databases

If you are off campus and click the following links, you will first be directed to a log on screen for the UiB proxy server, to get access even though you're outside the UiB network.

#### General

- MathSciNet
- Zentralblatt MATH
- MathNetBase (E-books by CRC)
- Wolfram: MathWorld & Functions

#### Statistics

#### Education