| 1. | 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.
www.mathphysics.com |
| 2. | Algebraic Topology | | | Basic core material along with a number of optional topics of a relatively elementary nature by Allen Hatcher. PDF and Postscript.
www.math.cornell.edu |
| 4. | Euclid's Elements | | | Edited by D.E. Joyce. HTML text with Java applets.
aleph0.clarku.edu |
| 6. | Probability | | | by Charles M. Grinstead and J. Laurie Snell in PDF. Published by the AMS. The site also contains additional teaching resources.
www.dartmouth.edu |
| 7. | A=B | | | Combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. PDF.
www.cis.upenn.edu |
| 9. | 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.
www.nr.com |
| 11. | 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.
www.math.miami.edu |
| 12. | Complex Analysis | | | Textbook for an introductory course in complex analysis by George Cain. Chapters in PDF.
www.math.gatech.edu |
| 13. | C*-Algebras | | | by Pierre de la Harpe and Vaughan Jones. The site is in French, but the book is in English. Chapters in PostScript.
www.unige.ch |
| 15. | Abstract Algebra | | | Lecture notes by David Wilkins from a course at Trinity College, Dublin. Three parts in DVI, PostScript and PDF.
www.maths.tcd.ie |
| 18. | Abstract Algebra II | | | by John A. Beachy and Bill Blair published by Waveland Press in 1995. Chapters in PostScript.
www.math.niu.edu |
| 22. | Trigonometry | | | by D. E. Joyce. HTML with Java.
aleph0.clarku.edu |
| 23. | Analysis WebNotes | | | Online course by John Lindsay Orr. Chapters also available in LaTeX.
www.math.unl.edu |
| 25. | Category Theory | | | by Maarten M. Fokkinga in PostScript.
wwwhome.cs.utwente.nl |
| 27. | Dynamical Systems | | | 1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF.
www.ams.org |
| 32. | 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.
www.ams.org |
| 33. | Complex Dynamics in Higher Dimensions | | | CBMS lecture notes by John Erik Fornćss at the bottom of page with other papers by the author and Nessim Sibony. PostScript.
www.math.lsa.umich.edu |
| 35. | Algebraic Topology | | | 1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.
www.ams.org |
| 43. | Geometric Constraint Solving | | | An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer.
www.cs.purdue.edu:80 |
| 47. | Complex Analysis | | | Course notes by Harold V. McIntosh in HTML.
delta.cs.cinvestav.mx |
| 51. | The Limits of Mathematics | | | An online course on information theory and the limits of formal reasoning by G.J. Chaitin.
www.umcs.maine.edu |
| 52. | 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. Entirely written in Maple.
www.math.rutgers.edu |
| 55. | 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-dimensional Geometry.
www.trillia.com |
| 56. | Numerics - interactive | | | In this PDF book by Thomas Risse, basic numerical algorithms are presented and implemented in order to determine the precision of computation, to solve systems of linear equations, to evaluate elementary functions, to find zeros, to integrate and to solve ordinary differential equations numerically. The performance of different algorithms can be compared.
www.weblearn.hs-bremen.de |
| 57. | Geometric Asymptotics | | | This book by Guillemin and Sternberg includes the method of stationary phase, geometrical optics, quantization.
www.ams.org |
| 59. | Graph Theory | | | Hyperlinked PDF version of a book by Reinhard Diestel.
www.math.uni-hamburg.de |
| 61. | Homeomorphisms in Analysis | | | A survey by C. Goffman, T. Nishiura, D. Waterman in PDF. In particular, the effects of homeomorphic changes of domain on the analyticity of a function are studied.
www.ams.org |
| 64. | Matrices | | | by Wedderburn in scanned PDF.
www.ams.org |
| 65. | Algebraic Geometry | | | produced by F. Calegari, J. Borger and W. Stein. JPEG scans of typewritten material.
modular.fas.harvard.edu |
| 66. | Wavelets | | | An Introduction to Wavelets by Amara Graps in HTML, PDF or Postscript.
www.amara.com |
| 70. | Calculus | | | by G. S. Gill.
www.math.byu.edu |
| 71. | 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 concentrates on models rather than proofs in order to bring out the concepts of dynamics and chaos. Theorems are carefully stated, though only occasionally proved.
www.mathphysics.com |
| 72. | 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 curves, algebraic geometry, Etale Cohomology, and Abelian varieties. In HTML, PDF, PostScript and DVI formats.
www.jmilne.org |
| 73. | Differential Geometry | | | Lecture notes for a course at the Weizmann Institute of Science by Sergei Yakovenko. Chapters in DVI.
www.wisdom.weizmann.ac.il |
| 75. | Complex Numbers | | | Dave's Short Course on Complex Numbers (David Joyce).
www.clarku.edu |
| 77. | Topology | | | by Viro, Ivanov, Kharlamov and Netsvetaev - draft version in postscript. The page also includes several papers on real algebraic geometry.
www.math.uu.se |
| 78. | Splines and Wavelets | | | A monograph by Karl Scherer in German (DVI and Postscript).
www.iam.uni-bonn.de |
| 81. | Topology Without Tears | | | A course in topology by Sidney A. Morris in HTML with embedded GIFs. Must purchase to view.
www.theassayer.org |
| 82. | Potential Theory | | | Two texts by V.I. Fabrikant: Applications of Potential Theory in Mechanics, Selection of New Results (1989); Mixed Boundary Value Problems of Potential Theory and their Applications in Engineering (1991). Text in PDF with figures separately in JPG.
www.geocities.com |
| 86. | Abstract Algebra | | | by D. Joyner, R. Kreminski, J. Turisco in HTML.
web.usna.navy.mil |
| 88. | Flatland | | | A romance of many dimensions. With Illustrations by the Author, A SQUARE (Edwin A. Abbott 1838-1926). HTML.
www.geom.uiuc.edu |
| 89. | Geometry and the Imagination | | | An online course by John Conway, Peter Doyle, Jane Gilman and Bill Thurston in HTML and PostScript.
www.geom.uiuc.edu |
| 90. | Sheaf Cohomology | | | Mathematical notes on sheaves and other topics by P. Morandi.
sierra.nmsu.edu |
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