Student Reps' Website - Notes on the Web

Notes on the Web

Some of the notes here are for previous versions for the courses: caveat lector.

If you know of any more online notes which you find useful or if there are any broken links, please e-mail us at student.reps@damtp.cam.ac.uk. Some of the notes linked from here may not be accessible from outside Cambridge or even from outside the CMS.

To view/print Postscript (.ps) or PDF (.pdf) files, you will need GhostScript and Adobe Acrobat Reader respectively.

Examples Sheets and Lecture Notes

Most example sheets and some lecture notes are available centrally on the relevant DPMMS and DAMTP pages.

DPMMS teaching page, including example sheets and some lecture notes for Parts IA, IB, II and III.
DAMTP undergraduate example sheets for Parts IA, IB and II of the Maths Tripos, and for Part IB of the Natural Sciences Tripos, also including some lecture notes.
DAMTP Part III example sheets, also including some lecture notes.
Past examination papers, including also the MPhil in Statistical Science and Maths for NST. These should also be available in libraries.

Lecturers' Notes and Example Sheets

Part IA

Algebra and Geometry (first half) by Pater Haynes. [PDF] [PS]
Algebra and Geometry (second half) (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Differential Equations by Stuart Dalziel.
Calculus and Methods (first half) (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Analysis I (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Probability by Douglas Kennedy.
Vector Calculus by Stephen Cowley. [PDF] [PS] • Vector Calculus by Matthias Dörrzapf. [PDF]

Part IB

Linear Mathematics by Keith Carne. [PDF] • Linear Mathematics (no proofs) by Tom Körner. [PDF] [PS] [DVI] • Linear Mathematics by Andrew Glass. [PDF]
Rings and Modules (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Groups, Rings and Fields by Nick Shepherd-Barron. [PDF] [PS]
Analysis II (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Metric and Topological Spaces (no proofs) by Tom Körner. [PDF] [PS] [DVI] • Metric and Topological Spaces by Ivan Smith.
Further Analysis by Keith Carne. [PDF] [PS]
Complex Analysis by Keith Carne. [PDF] [PS]
Geometry by Nick Shepherd-Barron. [PS] • Geometry by Keith Carne. [PDF] [PS]
Statistics by Richard Weber. [PDF]
Optimization by Richard Weber. [PDF] • Optimization by Yuri Suhov. • Optimization by Douglas Kennedy.
Complex Methods (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Markov Chains by James Norris.
Electromagnetism by Alan Macfarlane. [PDF] [PS]
Special Relativity by John Stewart. [PDF] [PS]
Quantum Mechanics by Paul Townsend. [PDF]
Fluid Dynamics I by Michael McIntyre. • Fluid Dynamics I by Natasha Berloff.
Numerical Analysis I by Alexei Shadrin. • Numerical Analysis I by Arieh Iserles.

Part II

Representation Theory by Constantin Teleman. [PDF]
Riemann Surfaces by Constantin Teleman. [PDF]
Algebraic Curves by Pelham Wilson. [PDF] [PS]
Topics in Analysis (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Functional Analysis by Graham Allan. [PS] [DVI]
Hilbert Spaces by Graham Allan. [PS] [DVI] • Hilbert Spaces by D. J. H. (Ben) Garling. [PDF]
Linear Analysis by Mihalis Dafermos. [PDF] [PS] • Linear Analysis (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Geometry of Group Actions by Ivan Smith.
Geometry and Groups by Keith Carne. [PDF] [PS]
Geometry of Surfaces by Nick Shepherd-Barron. [PDF] [PS]
Differential Manifolds by Ivan Smith.
Differential Geometry by Gabriel Paternain. [PDF]
Logic, Computation and Set Theory by Tom Forster. [PS]
Coding and Cryptography (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Probability and Measure by James Norris. [PDF] [PS] • Probability and Measure by Stefan Großkinsky. [PDF]
Applied Probability by Frank Kelly. [PS] • Applied Probability by Yuri Suhov.
Statistical Modelling by Pat Altham. [PDF] • Statistical Modelling by Robert Gramacy. [PDF]
Information Theory by Yuri Suhov.
Optimization and Control by James Norris. • Optimization and Control by Richard Weber. [PDF]
Stochastic Financial Models by Peter Friz.
Dynamical Systems by Peter Swinnerton-Dyer. [PDF]
Partial Differential Equations by Mark Joshi and Tony Wasserman. [PS] • Partial Differential Equations by Tom Körner. [PDF] [PS] [DVI]
Integrable Systems by Thanasis Fokas. [PDF] [PS]
Classical Dynamics by David Tong. [PDF] [PS]
Quantum Physics by Ron Horgan. [PDF] [PS]
Statistical Physics by Ron Horgan. [PS]
Statistical Physics and Cosmology by Gary Gibbons. [PDF] • Statistical Physics and Cosmology by Paul Townsend. [PDF]
Electrodynamics by John Stewart.
General Relativity by Gary Gibbons. [PDF] [PS]
Numerical Analysis II by Arieh Iserles.

Part III and MPhil

Noetherian Algebras by Konstantin Ardakov. [PDF] [PS] [DVI]
Introduction to Banach Spaces and Algebras by Graham Allan. [PS] [DVI]
Operators on Hilbert space by Tony Wasserman. [PS]
The Atiyah–Singer index theorem by Tony Wasserman. [PS]
Kac–Moody and Virasoro algebras by Tony Wasserman. [PS]
Analysis of Operators by Tony Wasserman. [PS]
Functional Analysis (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Banach Algebras by Graham Allan. [PS] [DVI]
Complex Analysis (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Fourier Analysis (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Topological Groups (no proofs) by Tom Körner. [PDF] [PS] [DVI]
Riemann Surfaces and Discrete Groups by Keith Carne.
Pseudodifferential Operators by Mark Joshi. [PDF] [PS]
Algebraic Methods in Combinatorics by Oleg Pikhurko. [PS]
Differential Geometry by Mihalis Dafermos. [PDF]
3-manifolds by Vivien Easson. [PDF] [PS]
Smooth four-manifolds by Tim Perutz.
Algebraic Topology by Ivan Smith.
Symplectic Topology by Ivan Smith.
Birational Geometry by Caucher Birkar. [PDF]
K-theory of Banach Algebras by Tim Gowers. [DVI]
Restriction and Kakeya Phenomena by Ben Green.
Set Theory and Logic by Tom Forster.
Prime Numbers by Ben Green.
Additive Number Theory by Ben Green.
Introduction to Probability by Mike Tehranchi. [PDF]
Advanced Probability by James Norris. [PDF] [PS] • Advanced Probability by Grégory Miermont. [PDF]
Stochastic Calculus and Applications by James Norris. [PDF] [PS]
Stochastic Loewner Evolutions by James Norris. [PDF]
Interacting Particle Sytems by Geoffrey Grimmett. [PS]
Optimal Investment by Mike Tehranchi.
Applied Multivariate Analysis by Pat Altham. [PDF] [PS]
Time Series by Richard Weber. [PDF]
Mathematics of Operational Research by Richard Weber. [PDF]
Algebraic Coding by Yuri Suhov.
Quantum Information Theory by Oliver Johnson and Yuri Suhov. • Quantum Information Theory by Nilanjana Datta.
Quantum Field Theory by David Tong. [PDF] [PS]
Symmetry and Particle Physics by Jan Gutowski.
Statistical Field Theory by Ron Horgan. [PDF] [PS]
Standard Model by Hugh Osborn. [PS]
General Relativity by John Stewart.
Black Holes by Paul Townsend. [PDF] [PS]
Applications of Differential Geometry to Physics by Gary Gibbons. [PDF] [PS]
Physical Cosmology by Jochen Weller. [PS]
Astrophysical Fluid Dynamics by Gordon Ogilvie. [PDF]
Accretion Discs by Gordon Ogilvie.
Large-scale Atmosphere–Ocean Dynamics by Peter Haynes. [PDF]
Environmental Fluid Dynamics by Stuart Dalziel. [PDF]
Classical Wave Scattering by Orsola Rath Spivack. [PDF] [PS]
Computational Methods in Fluid Dynamics by John Hinch.
Computer-aided Geometric Design by Malcolm Sabin.
Approximation Theory by Alexei Shadrin.
Numerical Solution of Differential Equations by Arieh Iserles. [PDF]

Other Notes Relating to Cambridge Courses, including Students' LaTeXed Notes

The Archimedeans have many lecture note links.
Paul Metcalfe has a large collection of very good lecture notes: Part IA Discrete Mathematics, and Probability; Part IB Analysis, Further Analysis, Fluid Dynamics, Geometry, Methods, Quadratic Mathematics, and Quantum Mechanics; Part II Dynamical Systems, Dynamics of Differential Equations, Electrodynamics, Fluid Dynamics, Foundations of Quantum Mechanics, General Relativity, Methods of Mathematical Physics, Statistical Physics, and Waves in Fluid and Solid Media.
George Weatherill has a collection of lecture notes, some typed by himself.
Mathematicians of Pembroke have a list of links to lecture notes.
Sergey Grigorian has typed lecture notes on Part III Applications of Differential Geometry to Physics, Supersymmetry and Extra Dimensions, and Differential Geometry.
Prof. Wilson's notes on IIB Galois Theory [PS] [DVI].
Notes on IIB Riemann Surfaces and Galois Theory, and some other revision notes.
Principles of Dynamics by Colm Whelan. [PDF] [PS] [DVI].
Stochastic Networks by Alan Bain. [PDF] [PS] [DVI]

Other Notes

These are notes from sources outside Cambridge.

Methods of Mathematical Physics by Mark Trodden. [PDF] [PS]
Notes on Algebraic Topology and 3-manifolds by Allen Hatcher of Cornell.
Notes by Vitali Liskevich of Bristol on Measure Theory [PDF] [DVI].
Notes on Complex Analysis [PS] [PDF] [DVI] and Functional Analysis [PS] [PDF] [DVI] by Douglas N. Arnold of the IMA, Minneapolis.
Notes by Alison Etheridge of Oxford on Probability and Mathematical Finance.
Notes on Number Theory [PS] [PDF] by R. Heath-Brown of Oxford.
Notes by Jim Langley of Nottingham on Real Analysis [PS] [PDF], Complex Analysis, and Advanced Complex Analysis.
Statistics notes by Mary Lunn of Oxford.
Notes on Special Relativity and Electromagnetism by Neil Woodhouse of Oxford, and more of the same by Lionel Mason [PS] [PDF], also of Oxford.
Electromagnetic Theory by Chris Pope. [PDF] [PS]
Notes by David Simms of Trinity College, Dublin, on Measure Theory, Complex Analysis and Vector Analysis, Linear Algebra, Tensors and Differentials and Representation Theory.
Notes on Model Theory by Boris Zilber of Oxford.
Notes by Wojtek Zakrewski of Durham on Methods/Differential Equations and on Quantum Mechanics.
Special Relativity notes by David Hogg of New York University.
James Milne's website contains numerous sets of notes on Algebra, particularly Algebraic Geometry and Algebraic Number Theory.
Notes on Algebra, Topology and other areas by David Wilkins of Trinity College, Dublin.
Abstract Algebra notes by Robert Ash of the University of Illinois at Urbana-Champaign.
Notes by Andrew Baker of Glasgow on Algebra.
Applications of Classical Physics by Roger Blandford and Kip Thorne.
Quantum Field Theory by Mark Srednicki. [PDF]
Fields by Warren Siegel.
General Relativity by Sean Carroll.
General Relativity notes by Petr Hadrava of the Astronomical Institute of the Academy of Sciences of the Czech Republic.
General Relativity notes by Gerard ’t Hooft of Utrecht.
Geometry and Group Theory by Chris Pope. [PDF] [PS]
Notes on String Theory by Enrique Alvarez and Patrick Meessen of the Universidad Autonoma, Madrid.
Superstring Theory by Elias Kiritsis. [PDF] [PS]
Quantum Information Theory by John Preskill.

Other resources

This page last modified: 16 August 2007