Publications

Semi-Simple Lie Algebras and their Representations Semi-Simple Lie Algebras and their Representations- Book for particle physicists by Robert N. Cahn. Published by Benjamin-Cummings in 1984. Chapters in PostScript. Lecture notes by László Lovász Lecture notes by László Lovász- Discrete mathematics topics in Postscript. Includes "Discrete Mathematics", "Semidefinite optimization", "Topological methods in combinatorics", an… Finite Applied Associative Algebra (semigroups) & Digital Networks Finite Applied Associative Algebra (semigroups) & Digital Networks- A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics. The FEMCI Book The FEMCI Book- Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons. Mathematical Methods of Engineering Analysis Mathematical Methods of Engineering Analysis- Book by Erhan Çinlar and Robert J. Vanderbei. Topics covered: functions on metric spaces, differential and integral equations, convex… Stochastic Calculus Stochastic Calculus- A fairly complete elementary introduction to the basics of stochastic integration with respect to continuous semimartingales by Alan Bain. All the theory usua… Linearization via the Lie Derivative Linearization via the Lie Derivative- By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF. Natural Operations in Differential Geometry Natural Operations in Differential Geometry- By Ivan Kolar, Jan Slovak and Peter W. Michor, originally published by Springer-Verlag in 1993. DVI, PostScript and PDF. Theory of Symmetry and Ornament Theory of Symmetry and Ornament- Monograph by Slavik V. Jablan published by the Serbian Academy of Science and Arts in 1995. HTML Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem- Monograph by Peter B. Gilkey published by Publish or Perish and CRC Press. Whole book or chapters in DVI… Spinors, Spectral Geometry, and Riemannian Submersions Spinors, Spectral Geometry, and Riemannian Submersions- Monograph by Peter B. Gilkey, John V. Leahy and Jeonghyeong Park published by Seoul National University in 1998. DVI and Po… Integral and Differential Equations Integral and Differential Equations- Class notes by Jim Herod at Georgia Tech. Sheaf Cohomology Sheaf Cohomology- Mathematical notes on sheaves and other topics by P. Morandi. Fractals in the Plane - Ergodic Theory Methods Fractals in the Plane - Ergodic Theory Methods- A book by F. Przytycki and M. Urbanski in Postscript. Harmonic Analysis and Partial Differential Equations Harmonic Analysis and Partial Differential Equations- A book by Dahlberg and Kenig in postscript (bitmapped fonts). The page also contains another book by Dahlberg: "Icke Linj&#22… Matrix Analysis and Applied Linear Algebra Matrix Analysis and Applied Linear Algebra- By Carl D. Meyer. Full text in PDF with errata, updates and solutions. Dynamics and Chaos Dynamics and Chaos- Class notes by Evans M. Harrell II for an introductory course on dynamical systems and chaos, taken by mathematicians, engineers, and physicists. This text con… Multigrid Methods Multigrid Methods- "An Introduction to Multigrid Methods" by Pieter Wesseling. Numerical Grid Generation Numerical Grid Generation- A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML. Numerics - Interactive Numerics - Interactive- In this book by Thomas Risse, basic numerical algorithms are presented and implemented in order to determine the precision of computation, to solve systems… Basic Concepts of Mathematics 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 … Plane Geometry Plane Geometry- Shalosh B. Ekhad XIV. A fully illustrated and completely self-contained Elementary Geometry textbook (ca. 2050), downloaded from the future by Doron Zeilberger. En… Mathematical Principles of Natural Philosophy Mathematical Principles of Natural Philosophy- Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete). Geometric Constraint Solving Geometric Constraint Solving- An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer. Linear Programming: Foundations and Extensions Linear Programming: Foundations and Extensions- Book by Robert J. Vanderbei in PDF. Several Complex Variables Several Complex Variables- Several sets of lecture notes by Jean-Pierre Demailly, some in French, including "Potential theory in several complex variables", and "Multiplier ideal … Physics, Invariant Theory, Modular Forms, and Algebraic Geometry Physics, Invariant Theory, Modular Forms, and Algebraic Geometry- Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript. Multiplier Ideals for Algebraic Geometers Multiplier Ideals for Algebraic Geometers- Draft of a part of a book in preparation on positivity in algebraic geometry by Robert Lazarsfeld. DVI and PostScript. Finite Rank Torsion Free Modules Over Dedekind Domains Finite Rank Torsion Free Modules Over Dedekind Domains- Monograph in commutative ring theory by Lee Lady. DVI and PDF. Fundamentals of Model Theory Fundamentals of Model Theory- Introductory textbook by William Weiss and Cherie D'Mello. PostScript, DVI, GIF.