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: 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  
Course code Course name Course literature
MM7005 Linear Analysis

Allan Pinkus and Samy Zafrany: Fourier Series and Integral Transforms

Luger, Wietsma: Lecture notes. Provided by the department.

MM7010 Dynamic Systems and Optimal Control Theory Sontag: Mathematical Control Theory. Deterministic Finite Dimensional Systems. Springer.
MM7011 Mathematical Economics Sydsaeter, Hammond, Seierstad, Ström: Further Mathematics for economic analysis. Prentice Hall.
MM7013 Linear Algebra with Applications

Fuhrmann: A polynomial approach to linear algebra. Springer.

Matrix Theory (two volumes). Gantmacher.

MM7016 Mathematical Dynamical Models in Biology Leah Edelstein-Keshet: Mathematical models in biology.
MM7020 Mathematical communication No literature, but tips for further reading can be found on the course web.
MM7021 Elementary Differential Geometry B. O'Neill: Elementary Differential Geometry. Elsevier/Academic Press.
MM7022 Logic II R. Cori, D. Lascar; Recursion Theory, Godel's Theorems, Set Theory, Model Theory. Oxford university press.
MM7023 Theory for Computation and Formal Languages

N. J. Cutland; Computability - an introduction to recursive function theory. Cambridge university press.

D. Kozen: Automata and Computability. Springer.

Additional material provided by the department.

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  
MM7028 Optimization Bazaraa, Sherali & Shetty: Nonlinear programming - Theory & Algorithms. Wiley.
MM7029 Mathematics of cryptography Hoffstein, Pipher & Silverman: An Introduction to Mathematical Cryptography, 2nd ed. 2014. Springer.
MM7030 Category Theory  
MM7041 Topology John M. Lee: Introduction to Topological Manifolds, 2nd ed. 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.
MM8008 Partial Differential Equations McOwen: Partial differential equations. Pearson Education.
MM8015 Optimization II Bazaraa, Sherali & Shetty: Nonlinear programming - Theory & Algorithms. Wiley.
MM8016 Mathematical Control Theory Sontag: Mathematical Control Theory. Deterministic Finite Dimensional Systems. Springer.
MM8021 Representation Theory for Finite Groups

Tambour: Introduction to finite groups and their representations. Stockholm University.

Fulton-Harris: Representation theory. A first course. Springer.

MM8025 Advanced Linear Algebra Roman, Advanced Linear Algebra, third edition, Springer.
MM8027 Set Theory and Forcing

Lorenz J. Halbeisen. Combinatorial Set Theory with a Gentle Introduction to Forcing. Springer.

Supplementary reading: John L. Bell: Set Theory: Boolean-Valued Models and Independence Proofs, 3rd ed. Oxford Logic Guides.

MM8028 Metamathematics and Proof Theory A.S. Troelstra, H. Schwichtenberg: Basic Proof Theory, 2nd edition.
MM8029 Spectral Theory

G.Teschl: Mathematical methods in quantum mechanics. With applications to Schrödinger operators. Graduate studies in mathematics, vol 99, AMS 2009

L.D.Faddeev, O.A.Yakubovskii: Lectures on quantum mechanics for university students. Student Mathematical Library vol 47, AMS, 2009

Supplementary reading: J.von Neumann: Mathematical foundations of quantum mechanics

Supplementary reading: N.I.Akhiezer, I.M.Glazman: Theory of linear operators in Hilbert spaces

MM8036 Type Theory Per Martin-Löf: Intuitionistic Type Theory. Bibliopolis.
MM8037 Advanced Real Analysis I Friedman: Foundations of modern analysis. Dover.
MM8038 Quantum Graphs

P. Kurasov: Quantum graphs: Spectral theory and inverse problems

G. Berkolaiko and P. Kuchment: Introduction to Quantum Graphs. AMS 2013

O. Post: Spectral analysis of graph-like spaces. Lecture Notes in Mathematics 2039 (2012)

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
MT5006 Categorical Data Analysis Agresti: Categorical Data Analysis. Wiley.
MT5009 Introduction to Finance Mathematics Capinski & Zastawniak: Mathematics for finance. An introduction to financial engineering. Springer.

 

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.

MT7002 Statistical Models Sundberg: Statistical Modelling by Exponential Families. Provided by the department.
MT7003 Bayesian Methods Carlin & Louis: Bayesian methods for data analysis. CRC Press.
MT7006 Survival Analysis Aalen, Borgan & Gjessing:  Survival Event History Analysis: A Process Point of View. Springer.
MT7037 Statistical Information Theory

Cover and Thomas: Elements of Statistical Learning (2nd ed). Wiley.

Haykin: Neural Networks and Learning Machines (3rd ed.) Pearson Education Inc.

MT7038 Statistical Learning Hastie, Tibshirani & Friedman: The Elements of Statistical Learning: Data Mining, Inference, and Prediction (2nd ed). Springer.
MT7039 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.

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

John V Guttag: Introduction to Computation and Programming using Python

Supplementary reading (in Swedish): Jan Skansholm: Python från början

DA3004 Algorithms and Complexity Cormen, Leiserson, Rivest, and Stein: Introduction to algorithms
DA3018 Computer Science for Mathematicians Cormen, Leiserson, Rivest, and Stein: Introduction to algorithms
MM5016 Numerical Analysis I Germund Dahlquist & Åke Björck : Numerical methods (2003)
Course code Course name Course literature
DA7062 Applied programming for Life Science 2 Open online materials

 

Contact

Student advisor in mathematics and mathematical statistics
Student advisor in computer science and scientific computing
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