Abstract Algebra
Course notes by J.S. Milne. Topics covered are group, fields and Galois, algebraic number, class field theories. Other areas discussed are modular functions and forms, elliptic cu…
Abstract Algebra
Three books by Robert B. Ash (chapters in PDF): Abstract Algebra: The Basic Graduate Year, A Course In Algebraic Number Theory, and A Course In Commutative Algebra.
Algebraic Combinatorics via Finite Group Actions
HTML book by A. Betten, H. Fripertinger, and A. Kerber.
Algebraic K-theory
"An introduction to algebraic K-theory" by Charles Weibel. Chapters in DVI.
Basic Concepts of Mathematics
This text by Elias Zakon helps the student complete the transition from purely manipulative to rigorous mathematics. Chapters cover Set Theory, the Real Numbers, and n-dimensiona…
C*-Algebras
"An Introduction to C*-Algebras" by Pierre de la Harpe and Vaughan Jones. The site is in French, but the book is in English. Chapters in PostScript.
Calculus Using Infinitesimals
Elementary Calculus: An Approach - a book by H. Jerome Keisler originally published by Prindle, Weber & Schmidt (2nd ed: 1986)
Complex analytic and algebraic geometry
Book by Jean-Pierre Demailly in PostScript.
Complex and Functional Analysis
Lecture notes by Douglas N. Arnold for a course at Penn State. Two parts in TeX, DVI, PostScript and PDF.
Computational Geometry and Computational Optimization
Lecture notes by Jianer Chen in PostScript.
Description Logics Handbook
A course on Description Logics (the Semantic Web underlying formalism) by E. Franconi (modules in pdf)
Differential forms
An introduction to differential forms and other notes by Donu Arapura.
Differential Geometry
Several books by Peter W. Michor et al. including "Foundations of Differential Geometry", "Natural operations in differential geometry" (corrected version), "Transformation Groups"…
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