General Mathematics

elementary mathematics, Analysis, Lebesgue Integrals ..

• Basic Concepts of Mathematics by Elias Zakon
• Mathematical Analysis I by Elias Zakon
• Calculus by Gilbert Strang, also Student Study Guide to Calculus and Instructor's Manual
• Basic algebra and trigonometry. by Thomas Ward
• First Year Mathematics, (notes by William Chen)
• Multivariable Calculus by George Cain & James Herod
• Complex Analysis by George Cain
• Linear Algebra byJim Hefferon
• Elementary Linear Algebra by Keith Matthews
• A First Course in Linear Algebra by Robert A. Beezer (GNU Free Documentation License)
• Measure Theory and Integration by V. Liskevich
• MEASURE THEORY by D.H.Fremlin plain tex sources
• Complex Analysis by Douglas N. Arnold
• Real Analysis for Engineers by Erhan Cinlar and Robert J. Vanderbei
• Set Theoretic Real Analysis by Krzysztof Ciesielski
• Expository notes by Daniel Allcock in The finite reflection groups
• Classical Geometry by Danny Calegari
• Classical Geometry and Low-Dimensional Topology by Danny Calegari
• Difference Equations to Differential Equations by Dan Sloughter
• Course of linear algebra and multidimensional geometry by Ruslan Sharipov
• Examples, Lecture Notes and Specimen Exam Questions and Natural Sciences Tripos
• Calculus project of Michael Livshits
• The Matrix Cookbook by Kaare Brandt Petersen
• The Octonions by John C. Baez
• Advanced Calculus by Shlomo Sternberg

Mathematical Logic and Set theory

• Mathematical Logic - an Introduction by Michal Walicki
• Set theory by Dr. P. G. Dixon
• Mathematical Logic by Stephen G. Simpson
• Foundations of Mathematics by Stephen G. Simpson
• Model Theory by Stephen G. Simpson
• The theory of the foundations of mathematics - 1870 to 1940
• A Problem Course in Mathematical Logic by Stefan Bilaniuk
• Computability and Incompleteness by Jeremy Avigad
• Complete proofs of Gödel's Incompleteness Theorems
• Fundamentals of Model Theory by William Weiss and Cherie D'Mello
• Logic for Everyone by Robert A. Herrmann
  For more logic lecture notes go to: ASSOCIATION FOR SYMBOLIC LOGIC members.
  For more set theory materials go to: Set Theory Preprint Sites

Discrete Math

• Lecture Notes on Discrete Mathematics by László Lovász

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