LECTURE  NOTES
 

  Disclaimer:

Most of this material was written as informal notes, not intended for publication. However, some notes are copyrighted and may be used for private  use only. Errors are responsability of the authors.
 

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Multivariable Calculus

Curl, div, grad and all that stuff explained by J. Cooper in a geometric fashion.

Multivariable Calculus supplements. Include many applications to the physical sciences. By O. Knill.

Elementary vector calculus applied to Maxwell Equation's and electric potencial. By D. Bump.
 
 

Real Analysis

Elementary notes on real analysis by T. Korner.

Notes in analysis on metric and Banach spaces with a twist of topology. By  Y. Safarov.

Notes on  Banach and Hilbert spaces and Fourier series by G. Olafsson.

A paper on unified analysis and generalized limits by Ch. Brown. Also available at www.limit.com.
 
 

Measure Theory and Integration

Everything you need to know to get started on measure theory! Notes by G. Olafsson.

Another very good set of notes on measure theory. These ones by B. Driver.

Area of spheres, volume of balls and the Gamma function. Notes of  IAP2001 made by  D. Strook.
 
 

Linear Algebra

Nice notes on elementary linear algebra by J. Ellenberg. Great for a first course!

Another set of notes in elementary linear algebra. By B. Lackey.

Yet some some more notes on linear algebra. Notes by P. Martin at University city, London.

Two sets of notes by R. Gardner. One of them based on Fraleigh's "Linear Algebra".

A brief survey on Jordan canonical form by J. Beachy.

Some basics fact on bilinear forms by Ch. Weibel.
 
 

Abstract Algebra

A very elegant course in group theory by J. Milne.

A comprehensive introduction by J. Baker to finite groups representations.

Some notes on permuation and alternating groups.

Very basic facts about rings. Written by M. Vaughn-Lee.

Notes on commutative algebra (modules and rings) by I. Fesenko.

Notes on some topics on module theory  E. L. Lady.

An introduction to Galois theory by J. Milne.

A set of notes on Galois theory by D. Wilkins.

A short note on the fundamental theorem of algebra by M. Baker.

Defintion and some very basic facts about Lie algebras.

Nice introductory paper on representation of lie groups by B. Hall.

Brief notes on homological algebra by I. Fesenko.

An excellent reference on the history of homolgical algebra by Ch.Weibel.
 
 

Complex Variables

Lecture notes on complex analysis by T.Tao. Very elementary. Great for a beginning course.

A more advanced course on complex variables. Notes written by Ch. Tiele.

Some papers by D. Bump on the Riemman's Zeta function.
 
 

Topology

Notes on a neat general topology course taught by B. Driver.

Notes on a course based on Munkre's "Topology: a first course".  By B. Ikenaga.

Two sets of notes by D. Wilkins.  General topology is discused in the first and algebraic topology in the second.

A paper discussing one point and Stone-Cech compactifications. Written by J. Blankespoor and J. Krueger.
 
 

Geometry

Geometry of curves and surfaces in R^3. Notes written by R. Gardner.

Brief and intuituve introduction to differential forms by D. Arapura.

Notes on a course in calculus on normed vector spaces.

Very concise introduction to differential geometry by S.Yakovenko.

Basics on differential geometry. A nice set of notes written by  D. Allcock.

A comprehensive introduction to algebraic geometry by I. Dolgachev.

Another very good set of notes by J. Milne. These ones devoted to algebraic geometry.

A nice introduction to symplectic geometry by  S. Montaldo.

Dynamics on one complex variable. Lecture notes by J. Milnor.