Boris Levant Homepage | Online Notes & Tutorials

Collection of Online Notes (updated July 23, 2009)


Pasha Zusmanovich's math links collection
Yet another page of links to online notes

Samizdat Press

Quotes from the Mathematical Quotations Server, collected by Mark R. Woodard

Princeton Univercity library collection of links



Fluid Mechanics & Turbulence



Lecture notes on Fluid Dynamics, Numerical Analysis and Turbulence by The Advanced CFD Group at the University of Kentucky


Applied Mathematics



Applied Analysis a nice book by John Hunter and Bruno Nachtergaele

Applied Mathematics Lecture Notes (pdf and postscript) by Peter Olver

Inverse Problems (pdf) by Sze M. Tan


Dynamics



Ordinary Differential Equations and Dynamical Systems (pdf) by Gerald Teschl

Applied Nonlinear Dynamics Lecture Notes (PostScript and HTML) by Clarence Eugene Wayne

Chaos Hypertextbook (html) by Glenn Elert

Dynamical Systems and Fractals Lecture Notes (html) by David J. Wright

Introduction to Chaos (pdf) by Michael Cross


Ordinary Differential Equations



Ordinary Differential Equations Notes (postscript) by Sheldon Newhouse

Ordinary Differential Equations (postscript) by Klaus Schmitt

Ordinary Differential Equations book (pdf) by Norman Lebovitz

Lectures on Invariant Manifolds (pdf) by Norman Lebovitz


Partial Differential Equations



A course Introduction to Partial Differential Equations by Saleh Tanveer

Asynchronous Studies in Undergraduate Partial Differential Equations by James V. Herod

A PDE Primer (postscript) by Ralph E. Showalter

Hilbert Space Methods for Partial Differential Equations (dvi and pdf) by Ralph E. Showalter

PDE Exercises (Solutions to exercises from Evans's book, in Postcript and dvi) by Harald Hanche-Olson

Partial Differential Equations Lecture Notes (pdf and postscript) by William W. Symes


Analytic Solutions of partial differential equations by Evy Kersale

Probability



Probability and Statistics Lecture Notes (pdf) by Herman Bierens

Stochastic Processes I (pdf) by Lou Jiann Hua

Stochastic Processes (pdf) by Robert Liptser

Excelent lectures on probability and stochastic processess by Boris Tsirelson


Analysis



Complex Analysis (pdf) by George Cain

Distributions, Fourier Transforms and Microlocal Analysis (pdf, PostScript, and dvi) by Yuri Safarov

Fourier Analysis (pdf, PostScript, and dvi) by Yuri Safarov

Internet Supplement for Basic Complex Analysis (pdf) by Jerrold Marsden

Linear Algebra, Infinite Dimensions, and Maple (pdf) by James V. Herod

Manifolds, Tensors, Analysis, and Applications (pdf) by Jerrold Marsden

Bent Petersen

Real Analysis (pdf, PostScript, and dvi) by Yuri Safarov


Geometry



An Introduction to Differential Forms (pdf) by Dona Arapura

Lecture Notes in Differential Geometry and Physics (pdf) by Gabriel Lugo

Lecture Notes for the Course in Differential Geometry (dvi) by Sergei Yakovenko


Topology



Algebraic Topology (pdf and postscript) by Allen Hatcher

Cartan's Corner: Adventures in Applied Topology (pdf) by Robert M. Kiehn

Topology (dvi, pdf, and postscript) by David R. Wilkins


Geometry of Banach Spaces



Estimates on the Concentration Function of Sets in R^d. Lemma of Halasz (pdf) by Ralph Howard

The F. John Theorem on Ellipsoid of Maximal Volume (pdf) by Ralph Howard



Algebra



Abstract Algebra: The Basic Graduate Year (pdf) by Robert B. Ash

Elementary Linear Algebra by Keith Matthews

Elements of Abstract and Linear Algebra by Edwin H. Connell

Linear Algebra (pdf) by Jim Hefferon

Linear Algebra Notes and Exercises by Jonathan Spingarn


Logic



Complete Proofs of Gödel's Incompleteness Theorem (postscript) by Byunghan Kim

Course Notes in Logic, Model Theory, Computability and Unsolvability (dvi, pdf, postscript, LaTeX, and txt) by Stephen G. Simpson


Number Theory



Algebraic Number Theory Notes (postscript, dvi, and LaTeX) by David Pierce



Electromagnetics



Electromagnetic Field Theory (pdf, dvi, and postscript) by Bo Thidé

Solutions to Problems of Jackson's Classical Electrodynamics (ps.z, ps.gz., pdf) by Kasper van Wyck

Teaching Electromagnetic Field Theory Using Differential Forms (postscript) by Richard H. Selfridge, David Arnold, and Karl F. Warnick


Quantum Chemistry



Quantum Mechanics in Chemistry (pdf) by Jack Simoms


Quantum Field Theory



FIELDS (pdf, hqx, uu, gz) by Warren Siegel

Relativistic Quantum Fields 1 (html) by Mark Hindmarsh


Quantum Mechanics



Introduction to Quantum Mechanics (pdf) by Daniel I. Fivel


Relativity



Introduction to Differential Geometry and General Relavity (html) by Stefan Waner

Lecture notes on General Relativity (postscript) by Sean Carroll