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.

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.
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 Dummit & Foote: Abstract Algebra. John Wiley & Sons Inc.
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.
MM8039 Advanced Real Analysis II Friedman: Foundations of modern analysis. Dover.
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
 

Mathematical statistics

Here you can find the course literature for the courses in mathematical statistics, first and second 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.
Course code Course name Course literature
MT7001 Probability Theory III

Gut: An intermediate course in probability. Springer.

Andersson & Djehiche: An introduction to martingale theory. Provided by the department.

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 Not decided, but see older version above (code MT7001)
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)

MT8001 Statistical Consulting Methodology Articles handed out during the course.
 

Computer science and Scientific computing

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

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.

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 and Thomee: Partial Differential Equations with Numerical Methods. Springer.
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, lecture notes. Provided by the department.

 

 

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