Course literature

On this page you can find the course literature for courses given at the Department of Mathematics.

Note that this page only covers courses regularly given in English.

See the Swedish version of this page for the course literature for courses given in Swedish

Some books may be available as e-books via Stockholm University Library

Degree projects

The course literature for all degree projects is based on scientific publications and reports within the relevant field found by the student through literature search, and literature distributed by the supervisor.

Mathematics

Here you can find the course literature for the courses in mathematics, first and second cycle. For some courses given jointly with KTH, we refer to information about course literature on KTH's web. You can see in the course catalogue if a course is given jointly with KTH.

Matematics, first cycle

Course code	Course name	Course literature
MM1005	Mathematics for Economic and Statistical Analysis	Sydsæter, Hammond, Ström & Carvajal: Essential mathematics for economic analysis. Prentice Hall.
MM3001	Mathematical Methods for Economists	Sydsæter, Hammond, Ström & Carvajal: Essential mathematics for economic analysis. Prentice Hall.
MM5020	Mathematics III - Abstract Algebra	Dummit & Foote: Abstract Algebra. John Wiley & Sons Inc.
MM5021	Mathematics III - Foundations of Analysis	Rudin: Principles of Mathematical Analysis. McGraw-Hill.
MM5022	Mathematics III - Complex Analysis	Saff & Snider: Fundamentals of complex analysis. Prentice-Hall.
MM5023	Mathematics III - Combinatorics	Grimaldi: Discrete and combinatorial mathematics, Classical edition. Addison-Wesley.
MM5024	Mathematics III - Logic	Carlström: Logik. Stockholms universitet. Provided by the department. Supplementary reading: van Dalen: Logic and Structure. Springer
MM5025	Mathematical modelling I	Frank Giordano: A First Course in Mathematical Modeling. Brooks Cole.
MM5026	Mathematics III - Ordinary differential equations	Andersson, Böiers: Ordinary differential equations. Studentlitteratur.

Mathematics, second cycle

Course code	Course name	Course literature
MM7020	Mathematical communication	No literature, but tips for further reading can be found on the course web.
MM7022	Logic II	R. Cori, D. Lascar; Recursion Theory, Godel's Theorems, Set Theory, Model Theory. Oxford university press.
MM7024	Linear Algebra and Learning from Data	G. Strang; Linear Algebra and Learning from Data. Wellesley-Cambridge Press.
MM7025	Computer algebra	Cox, Little, O'Shea; Ideal, varieties, and algorithms. Springer.
MM7026	Advanced complex analysis	We refer to KTH for information about course literature on this course
MM7027	Dynamic Systems and Optimal Control Theory	Sontag: Mathematical Control Theory. Deterministic Finite Dimensional Systems. Springer.
MM7028	Optimization	Bazaraa, Sherali & Shetty: Nonlinear programming - Theory & Algorithms. Wiley.
MM7029	Mathematics of cryptography	Hoffstein, Pipher & Silverman: An Introduction to Mathematical Cryptography. Springer.
MM7030	Category Theory	Leinster: Basic Category Theory. Cambridge University Press.
MM7031	Enumerative combinatorics	We refer to KTH for information about course literature on this course
MM7032	Spectral Geometry of Graphs	Pavel Kurasov, Spectral geometry of graphs, Birkhäuser, 2022. Open access.
MM7033	Advanced algebra	Antoine Chambert-Loir: (Mostly) commutative algebra, Universitext, Springer.
MM7042	Commutative algebra and algebraic geometry	Gathmann: Algebraic Geometry, lecture notes (available online)
MM7043	Galois Theory	Dummit & Foote: Abstract Algebra. John Wiley & Sons Inc.
MM7044	Fourier Analysis	We refer to KTH for information about course literature on this course
MM7045	Graph theory	We refer to KTH for information about course literature on this course
MM7046	Advanced Real Analysis I	Friedman: Foundations of modern analysis. Dover.
MM7048	Set theory and metamathematics	K. Kunen, Set Theory, 1980, North-Holland Publishing A.S. Troelstra, H. Schwichtenberg, Basic proof theory (2nd ed.), 2000, Cambridge University Press
MM7049	Number theory	We refer to KTH for information about course literature on this course
MM7050	Representation Theory for Finite Groups	Isaacs: Character theory of finite groups. (Available online via the University Library.)
MM7052	Topology	John M. Lee: Introduction to Topological Manifolds. Springer.
MM7053	Partial Differential Equations	Lawrence Evans: Partial Differential Equations, AMS, 2010.
MM8036	Type Theory	Per Martin-Löf: Intuitionistic Type Theory. Bibliopolis.
MM8040	Function Theory of Several Complex Variables	J. Lebl: Tasty bits of several complex variables.
MM8042	Algebraic Topology	A. Hatcher: Algebraic topology. Cambridge University Press.
MM8043	Reductive Algebraic Groups	T.A. Springer: Linear algebraic groups
MM8044	Advanced Real Analysis II	Friedman: Foundations of modern analysis. Dover.

Mathematical statistics

Here you can find the course literature for the courses in mathematical statistics, first and second cycle, and actuarial mathematics, second cycle.

Mathematical statistics, first cycle

Course code	Course name	Course literature
MT3002	The Mathematics and Statistics of Infectious Disease Outbreaks	Material is provided by the department.
MT5009	Introduction to Finance Mathematics	Capinski & Zastawniak: Mathematics for finance. An introduction to financial engineering. Springer.
MT5011	Basic Insurance Mathematics	Material is provided by the department. Recommended supplementary reading can be found on the course web.
MT5012	Stochastic Processes and Simulation II	Ross: Introduction to probability models. Academic Press.
MT5017	Theory of Statistical Inference	Held & Bové: Likelihood and Bayesian Inference. Springer. Older editions of the book are called Applied Statistical Inference.
MT5019	Categorical Data Analysis	Agresti: Categorical Data Analysis. Wiley.
MT5020	The Mathematics and Statistics of Infectious Disease Outbreaks	No mandatory literature. Recommended reading is listed in the course catalogue.
MT5022	Classification and Analysis of Categorical Data	Agresti: Categorical Data Analysis. Wiley.

Mathematical statistics and Actuarial mathematics, second cycle

Course code	Course name	Course literature
MT7027	Risk models and claims reserving in non-life insurance	Mikosch: Non-Life Insurance Mathematics. Springer
MT7037	Statistical Information Theory	Cover and Thomas: Elements of Information Theory (2nd ed). Wiley. Haykin: Neural Networks and Learning Machines (3rd ed.) Pearson Education Inc.
MT7040	Networks and Epidemics	Articles and chapters handed out during the course.
MT7041	Markov chains and mixing times	Levin & Peres: Markov Chains and Mixing Times: Second Edition. (Available online through the authors' webpage.)
MT7042	Statistical Deep Learning	Goodfellow, Bengio, Courville: Deep Learning. MIT Press.
MT7043	Brownian motion and stochastic differential equations	Øksendal: Stochastic Differential Equations. Springer.
MT7045	Bayesian Methods	Carlin & Louis: Bayesian methods for data analysis. CRC Press.
MT7046	Statistical Models	Sundberg: Statistical Modelling by Exponential Families. Provided by the department.
MT7047	Probability Theory III	Gut: An intermediate course in probability. Springer. Andersson & Djehiche: An introduction to martingale theory. Provided by the department.
MT7049	Statistical Learning	Hastie, Tibshirani & Friedman: The Elements of Statistical Learning: Data Mining, Inference, and Prediction (2nd ed). Springer.
MT7050	Unsupervised Learning	Hastie, Tibshirani & Friedman: The Elements of Statistical Learning: Data Mining, Inference, and Prediction (2nd ed). Springer. Bishop: Pattern Recognition and Machine Learning. Springer. Lee & Verleysen: Nonlinear Dimensionality Reduction. Springer. Articles.
MT7051	Reinforcement Learning	"Reinforcement Learning: An introduction", R.S. Sutton and A.G. Barto, 2nd Edition, MIT Press, Cambridge, MA (2018) (e-book available via the university library) "An Introduction to Deep Reinforcement Learning", V. François-Lavet, P. Henderson, R. Islam, M.G. Bellemare, J. Pineau, Foundations and Trends in Machine Learning: Vol. 11: No. 3-4, pp 219-354 (2018) (available for download at arxiv.org)
MT7052	Inference and prediction for life and health processes	Aalen, Borgan and Gjessing (2008) Survival Event History Analysis: A Process Point of View. Springer.
MT7053	Risk models and valuation in life and disability insurance	Asmussen, Steffensen: Risk and Insurance: A Graduate Text
MT7054	Risk models and claims reserving in non-life insurance	Lindskog, Filip. (2025). Risk Models, Claims Reserving and Solvency in Non-Life Insurance (lecture notes which are available on the course page). Articles for project work. Supplementary reading.
MT7055	Probability Theory and Martingales	Gut Allan (2009). An Intermediate Course in Probability, Springer. Andersson, Håkan and Djehiche, Boualem. An Introduction to Martingale Theory (provided by the department)
MT8001	Statistical Consulting Methodology	Articles handed out during the course.

Computer science, Scientific computing and Computational mathematics

Here you can find the course literature for the courses in computer science, scientific computing and computational mathematics. For some second cycle courses, we refer to information about course literature on KTH's web - see the course catalogue.

Computer science and Scientific computing, first cycle

Course code	Course name	Course literature
DA2005	Programming Techniques	Arvestad, Helanow, Mörtberg, Sahlin: Programming Techniques, lecture notes. Provided by the department.
DA4004	Introduction to Machine Learning	James, Witting, Hastie, Tibshirani and Taylor: Introduction to Statistical Learning: With Applications in Python.
DA4005	Algorithms and Complexity	Cormen, Leiserson, Rivest, and Stein: Introduction to algorithms
DA4006	Datastructures and algorithms	Cormen, Leiserson, Rivest and Stein: Introduction to Algorithms.
DA4007	Programming techniques II	Bjarne Stroustrup: A Tour of C++ (third edition)
MM5016	Numerical Analysis I	Bayen, Kong and Siauw: Python Programming and Numerical Methods (ISBN 9780128195499) Gander, Gander and Kwok: Scientific Computing - An Introduction using Maple and MATLAB (ISBN 9783319043241)
DA5001	Numerical analysis II	Larsson och Bengzon: The Finite Element Method: Theory, Implementation and Applications. (ISBN 9783642332869) Also parts of: Bartels: Numerical Approximation of Partial Differential Equations. (ISBN 9783319323534) Both books are available as e-books via Stockholm University Library

Computer science, Scientific computing and Computational mathematics, second cycle

Course code	Course name	Course literature
DA7062	Applied programming for Life Science 2	Open online materials
DA7066	Programming techniques for Life Sciences	Arvestad, Helanow, Mörtberg, Sahlin: Programming Techniques for Life Sciences, lecture notes. Stockholm University. Provided by the department in digital form.
DA7067	Computational Mathematics	No course literature
DA7070	Computational Biology	An Introduction to Bioinformatics Algorithms av Jones & Pevzner, MIT Press, 2004 Introduction to Computational Biology av Waterman, Chapman & Hall, 1995 Both books are available digitally via Stockholm University Library and we recommend students to use these e-books.

Last updated: 2025-10-13

Source: Department of Mathematics