Online Texts

Online Texts

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Online Texts Links

• Differential Geometry Lecture notes for a course at the Weizmann Institute of Science by Sergei Yakovenko. Chapters in DVI.
  
• Analysis WebNotes Online course by John Lindsay Orr. Chapters also available in LaTeX.
  
• Trigonometry "Dave's Short Trig Course" by D. E. Joyce. HTML with Java.
  
• Numerical Analysis "Introduction to Numerical Analysis Using Maple" by Barry G. Adams in HTML.
  
• Topology Without Tears A course in topology by Sidney A. Morris in HTML with embedded GIFs. Some chapters available in PostScript.
  
• Fundamentals of Model Theory Introductory textbook by William Weiss and Cherie D'Mello. PostScript, DVI, GIF.
  
• Dynamical Systems 1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF.
  
• Differential Geometry Several books by Peter W. Michor et al. including "Foundations of Differential Geometry", "Natural operations in differential geometry" (corrected version), "Transformation Groups", "Gauge theory for fiber bundles" etc. plus many papers by the author in postscript.
  
• Complex analytic and algebraic geometry Book by Jean-Pierre Demailly in PostScript.
  
• Several complex variables Several sets of lecture notes by Jean-Pierre Demailly, some in French, including "Potential theory in several complex variables", "Multiplier ideal sheaves and analytic methods in algebraic geometry", etc. in DVI or PostScript.
  
• Abstract Algebra "Intro to Abstract Algebra" by Paul Garrett in PostScript and PDF.
  
• Mathematical Methods of Engineering Analysis Book by Erhan Çinlar and Robert J. Vanderbei in PDF. Topics covered: functions on metric spaces, differential and integral equations, convex analysis, and measure and integration.
  
• Generatingfunctionology By Herbert S. Wilf. Published by Academic Press. PDF.
  
• History of Calculus Guide To History of Calculus. Topic essays and biographies keyed to the chapters and content of the 10th edition of Thomas's Calculus.
  
• Discrete Mathematics Lecture notes by László Lovász in Postscipt. Includes "Discrete Mathematics", "Semidefinite optimization", "Topological methods in combinatorics", and "Complexity of algorithms".
  
• Algebraic Combinatorics Via Finite Group Actions HTML book by A. Betten, H. Fripertinger, and A. Kerber.
  
• Global Analysis "The Convenient Setting of Global Analysis" - foundations of differential calculus in infinite dimensions with applications to differential geometry and global analysis by Andreas Kriegl and Peter W. Michor published by AMS in 1997. Whole book or chapters in crosslinked PDF.
  
• Tensor Calculus and Continuum Mechanics Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF.
  
• Linearization via the Lie Derivative By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF.
  
• Practical Foundations of Mathematics An account of the foundations of mathematics (algebra) and theoretical computer science, from a modern constructive viewpoint by Paul Taylor. Published by Cambridge University Press. HTML approximation.
  
• Algebraic Geometry Seminar notes in DVI and PostScript. Also includes solutions to problems in chapter 1 of Robin Hartshorne's book by Richard Borcherds.
  
• Templates for the Solution of Linear Systems Book on iterative methods by Richard Barrett et al. in HTML and Postscript.
  
• Entropy of Compact Group Automorphisms Lecture notes based on a course at Ohio State in 1994 by Thomas Ward in DVI and PostScript.
  
• Abstract Algebra Lecture notes by David Wilkins from a course at Trinity College, Dublin. Three parts in DVI, PostScript and PDF.
  
• Probability Theory: The Logic Of Science Probability theory viewed in a wider context by Edwin Jaynes in PostScript and PDF based on the author's lectures at Stanford Univ.
  
• Mathematical Modeling in a Real and Complex World Online guide book by Frank Wattenberg in HTML.
  
• Complex-Analytic Geometry of Complex Parallelizable Manifolds Monograph by Jörg Winkelmann. Chapters in DVI.
  
• Matroid Decomposition Monograph by Klaus Truemper published by Academic Press in 1992. Chapters in PostScript.
  
• Algebraic K-theory "An introduction to algebraic K-theory" by Charles Weibel. Chapters in DVI.
  
• Elements of Abstract and Linear Algebra Foundational textbook on abstract algebra with emphasis on linear algebra by Edwin H. Connell. Whole book or chapters in DVI, PostScript, and PDF.
  
• Category Theory "A Gentle Introduction to Category Theory - the calculational approach" by Maarten M. Fokkinga in PostScript.
  
• Mixed Motives Monograph by Marc Levine published by AMS in 1998. Whole book or chapters in PDF.
  
• Flatland A romance of many dimensions. With Illustrations by the Author, A SQUARE (Edwin A. Abbott 1838-1926). HTML.
  
• Differential Geometry Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.
  
• Precalculus Book by J. Douglas Faires and James DeFranza. Chapters in PDF.
  
• Differential Geometry "Natural operations in differential geometry" by Ivan Kolar, Jan Slovak and Peter W. Michor published by Springer-Verlag in 1993. DVI, PostScript and PDF.
  
• Linear Algebra Textbook by Jim Hefferon covering the material of any undergraduate first linear algebra course. Book or chapters in PDF.
  
• Numerical Recipes Books On-Line The complete Numerical Recipes books in C, Fortran 77, and Fortran 90 On-Line, in both PostScript and Adobe Acrobat formats.
  
• 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.
  
• 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.
  
• Linear Algebra "Elementary Linear Algebra" by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript.
  
• Euclid's Elements Edited by D.E. Joyce. HTML text with Java applets.
  
• Hilbert Space Methods for Partial Differential Equations Textbook for beginning graduate students of mathematics, engineering, and the physical sciences by Ralph Showalter. Chapters in PostScript and PDF.
  
• Advanced Calculus and Analysis Lecture notes by Ian Craw from a course at the Univ. of Aberdeen. HTML with GIFs.
  
• Algebraic Topology: A Computational Approach Book by T. Kaczynski, K. Mischaikow, and M. Mrozek in PostScript.
  
• Linear Methods of Applied Mathematics Textbook suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations by Evans M. Harrell II and James V. Herod. HTML, RTF and PDF with Maple and Mathematica worksheets.
  
• Linear Programming: Foundations and Extensions Book by Robert J. Vanderbei in PDF.
  
• Manifolds, Tensors, Analysis, and Applications Book by R. Abraham, J. E. Marsden, and T. Ratiu originally published by Addison-Wesley in 1983. Chapters in PDF.
  
• Complex and Functional Analysis Lecture notes by Douglas N. Arnold for a course at Penn State. Two parts in TeX, DVI, PostScript and PDF.
  
• The FEMCI Book Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons.
  
• Interactive Real Analysis "Interactive Real Analysis" by Bert G. Wachsmuth. HTML and Java.
  
• A=B Combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. PDF.
  
• Wavelet Tutorial Guide to wavelet analysis by Robi Polikar.
  
• Fundamental Problems in Algorithmic Algebra Book by Chee Yap published by Oxford University Press in 1999.
  
• Linear Algebra and Applications Textbook by Thomas Shores. GIFs of pages.
  
• Mathematical Principles of Natural Philosophy Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete).
  
• Algorithms and Complexity By Herbert S. Wilf. In print 1986-1994. Single PDF file.
  
• Geometry and the Imagination An online course by John Conway, Peter Doyle, Jane Gilman and Bill Thurston in HTML and PostScript.
  
• Functional Analysis and Semi-Groups Book by Einar Hille and Ralph S. Phillips published by AMS in 1957. Scanned chapters in PDF.
  
• Physics, Invariant Theory, Modular Forms, and Algebraic Geometry Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript.
  
• Abstract Algebra Course notes by J.S. Milne in DVI, PostScript and PDF including "Group Theory", "Fields and Galois Theory", "Algebraic Number Theory", "Class Field Theory", "Modular Functions and Modular Forms", "Elliptic Curves", "Algebraic Geometry", "Lectures on Etale Cohomology", and "Abelian Varieties".
  
• Multivariable Calculus Textbook by George Cain and James Herod. Chapters in PDF.
  
• Dynamics in One Complex Variable: Introductory Lectures Lecture notes by John Milnor in TeX and PostScript.
  
• Mathematical Logic "A Problem Course in Mathematical Logic" by Stefan Bilaniuk in LaTeX, PostScript or PDF.
  
• Geometric Constraint Solving An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer.
  
• Topology Course Lecture Notes By Aisling McCluskey and Brian McMaster. HTML with symbol fonts, DVI and PostScript.
  
• 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 PostScript.
  
• Finite Element Method/Boundary Element Method Notes by Peter Hunter and Andrew Pullan. Postscript and PDF.
  
• Measure Theory and Integration Lecture notes by Vitali Liskevich in DVI from a course taught at the Univ. of Bristol.
  
• Semi-Simple Lie Algebras and their Representations Book for particle physicists by Robert N. Cahn. Published by Benjamin-Cummings in 1984. Chapters in PostScript.
  
• Index Theory, Geometric Scattering, and Differential analysis on manifolds with corners Several books by Richard Melrose et al. in PostScript.
  
• Probability "Introduction to Probability" by Charles M. Grinstead and J. Laurie Snell in PDF. Published by the AMS. The site also contains additional teaching resources.
  
• Computational Geometry and Computational Optimization Lecture notes by Jianer Chen in PostScript.
  
• Travelling Wave Solutions of Parabolic Systems Translation of a monograph by Aizik Volpert, Vitaly Volpert, and Vladimir Volpert published by AMS in 1994. Whole book or chapters in PDF.
  
• Complex Analysis Textbook for an introductory course in complex analysis by George Cain. Chapters in PDF.
  
• The Limits of Mathematics An online course on information theory and the limits of formal reasoning by G.J. Chaitin.
  
• Abstract Algebra II A companion volume to "Abstract Algebra" by John A. Beachy and Bill Blair published by Waveland Press in 1995. Chapters in PostScript.
  
• 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 and Postscript.
  
• Dynamical Systems and Fractals Lecture Notes by David J. Wright in HTML.
  
• Theory of Symmetry and Ornament Monograph by Slavik V. Jablan published by the Serbian Academy of Science and Arts in 1995. HTML
  
• Complex Analysis Course notes by Harold V. McIntosh in HTML.
  
• Mathematics and Biology: The Interface Report exploring opportunities at the interface between biology and mathematics edited by Simon A. Levin in HTML.
  
• Differential Geometry Notes by Balázs Csikós. Chapters in PostScript.
  
• Differential Topology Course notes by Matthew G. Brin in PostScript including "Introduction to Differential Topology", "Introduction to Seifert fibered 3-manifolds", "Groups acting on 1-dimensional spaces", and "Presentations, conjugacy, roots and centralizers in groups of piecewise linear homeomorphisms of the real line".
  
• Universal Algebra "A Course in Universal Algebra" by Stanley Burris and H. P. Sankappanavar. PostScript and PDF.
  
• Abstract Algebra: The Basic Graduate Year By Robert B. Ash. Chapters in PDF.
  
• Complex Dynamics in Higher Dimensions CBMS lecture notes by John Erik Fornæss at the bottom of page with other papers by the author and Nessim Sibony. PostScript.
  
• Differential Geometry and General Relativity Introduction to differential geometry and general relativity by Stefan Waner at Hofstra University in HTML.
  
• Finite Rank Torsion Free Modules Over Dedekind Domains Monograph in commutative ring theory by Lee Lady. DVI and PDF.
  
• Algebraic Topology Basic core material along with a number of optional topics of a relatively elementary nature by Allen Hatcher. PDF and Postscript.
  
• Algebraic Topology 1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.