Introduction to Statistical Thought

Michael Lavine

A well-designed primer on statistics in PDF format.

Link to Full Review | Link to website | Copyright Type: Standard Copyright

Education Improvement Internet Library

Walter Antoniotti

The Education Improvement Internet Library has free material to help students learn, teachers teach, and everyone improve our educational system.

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Introduction to Probability

Charles M. Grinstead and J. Laurie Snell

This text is designed for an introductory probability course taken by sophomores, juniors, and seniors in mathematics, the physical and social sciences, engineering, and computer science.

Link to Full Review | Link to website | Copyright Type: GNU FDL

Educational Audio-Video Internet Library

Walter Antoniotti

Educational Videos Internet Library has free materials on Mathematics, Science, Computers, Software, Excel, Business, Economics, and Fun Stuff. Also has well done Audios, some that can be downloaded into iPods.

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A New Kind of Science

Stephen Wolfram

A far-ranging and far-sighted book by well-known author Stephen Wolfram, who puts forward a new theory on how things work.

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Elementary Algebra, 3e, from Totally Free Math

Wesner, Nustad, Mahler, and Ailawadi

A free version of an established print algebra textbook.

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Kerala Mathematics

A high-school algebra and geometry book from the government of Kerala, India.

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OpenMathText.org

David Santos and Alain Schremmer

A site with a variety of materials on different math subjects, some in Spanish.

Link to Full Review | Link to website | Copyright Type: Open Publication License (OPL) v1.0

NIST/SEMATECH e-Handbook of Statistical Methods

An exceedingly well-done engineering statistics textbook from the National Institute of Standards and Technology.

Link to Full Review | Link to website | Copyright Type: public domain

Statistical Thinking for Managerial Decisions

Dr. Hossein Arsham

Deceptively simple at first, this mammoth site covers introductory statistics in astonishing detail.

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Topology Without Tears

Dr. Sydney Morris, U of Ballarat, Australia

A well-reviewed book on topology.

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Mathematics Online: A Portal for Open Access Lecture Notes and Monographs

E. Brian Davies, Founding Editor

A massive collection of all things math and open source

Link to Full Review | Link to website | Copyright Type: varies by book

Introduction to Sound Processing

Davide Rocchesso

Here’s a book on sound processing, designed to get composers and technicians on the same page.

Link to Full Review | Link to website | Copyright Type: Creative Commons

The Sounding Object

Davide Rocchesso and Federico Fontana, editors

From Italy comes this English-language text on the nature of sounds and what it is that makes something sonically pleasing.

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Inner Algebra

Aaron Maxwell

A fun online-only book that will help you do algebra in your head.

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Statistical Analysis with the General Linear Model

Jeff Miller and Patricia Haden

A very professionally done statistics textbook that covers statistical analysis with ANOVA, regression, and analysis of covariance.

Link to Full Review | Link to website | Copyright Type: Creative Commons Attribution-NonCommercial-NoDerivs 2.5 License

The R Project for Statistical Computing

R is a free software environment for statistical computing and graphics. It compiles and runs on a wide variety of UNIX platforms, Windows and MacOS.

Link to Full Review | Link to website | Copyright Type: GPL

Crowell's Calculus

Prof Benjamin Crowell, Fullerton College

An excellent short introduction to calculus.

Link to Full Review | Link to website | Copyright Type: Creative Commons Attribution-ShareAlike 1.0

forall X: An Introduction to Formal Logic

PD Magnus

A book that describes two formal languages which have been of special importance to philosophers: truth-functional sentential logic and quantified predicate logic.

Link to Full Review | Link to website | Copyright Type: creative commons Attribution-NonCommercial-ShareAlike 2.0

Test-Prep Mathematics

Pamela Cohen and Walter Antoniotti

A book for people who want to quickly study basic high school mathematics.

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Euclid's Elements

D.E. Joyce

One of the classics, written over two millenia ago in Greek, and now available in dynamic HTML.

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Multivariable Calculus

George Cain and James Herod

A full-length textbook aimed at first year university students.

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George Cain's List of Online Math Textbooks

George Cain, retired professor of Mathematics at the Georgia Insitute of Technology, has compiled a list of textbooks freely available on the web.

Link to Full Review | Link to website | Copyright Type: Varies

Probability, Random Processes, and Ergodic Properties

R.M. Gray

A free online version of an out-of-print upper level Probability book.

Link to Full Review | Link to website | Copyright Type: Personal Use? See description

Quick Notes Excel Statistics Lab Manual

Walter Antoniotti

Quick Statistics Using Microsoft™ Excel is a unique interactive
learning system designed to help people with some knowledge of statistics and some experience using spreadsheets quickly learn to calculate descriptive statistics and to conduct many kinds of statistical tests using Microsoft™ Excel.

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Numerical Recipes

William H. Press et al.

A standard reference of computer number-crunching.

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Probability Tutorials

An online course in probability.

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Paul's Online Math Notes

Paul Dawkins

All kinds of resources for undergraduate math students.

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ScienceWorld

Eric Weisstein

Science World is a top-notch website that will serve any science and/or math student very well. The site has individual sections for Chemistry, Math, Physics, Astronomy, and Science Biographies.

Link to Full Review | Link to website | Copyright Type: Unknown

Math World

Eric Weisstein

Science World is a top-notch website that will serve any science and/or math student very well. The site has individual sections for Chemistry, Math, Physics, Astronomy, and Science Biographies.

Link to Full Review | Link to website | Copyright Type: standard copyright

Electronic Library of Mathematics

The Electronic Library of Mathematics contains online journals, article collections, monographs, and other electronic resources in the field of mathematics.

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Dozens of free math textbooks

Compiled by Alexandre Stefanov

A list of free math books compiled by Alex Stefanov

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American Mathematical Society Books Online

The AMS has dozens of books here.

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HyperMath

Rod Nave, Georgia State University

HyperMath is a growing collection of examples of applied mathematics with links to their applications to problems in physics and astronomy.

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Information Theory, Inference, and Learning Algorithms

David MacKay

Free online version of an in-print math book from the Cambridge University Press.

Link to Full Review | Link to website | Copyright Type: standard copyright, see site for restrictions

Free GeoPhysics Books from Samizdat Press

A collection of books on geology and physics.

Link to Full Review | Link to website | Copyright Type: Everything is free and may be freely copied and distributed

Handbook of Applied Cryptography, 5e.

Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone

This Handbook will serve as a valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography.

Link to Full Review | Link to website | Copyright Type: See post

Six Multimedia Engineering Books

Dr. Kurt Gramoll, Univ. of Oklahoma

These 6 multimedia engineering books are all designed for use with the accompanying free eCourses Online Engineering Course Management System, but there’s no reason you can’t use them solo. See full post for links to individual books.

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Elementary Calculus: An Approach Using Infinitesimals

Prof. H. Jerome Keisler, Univ. of Wisconsin-Madison

This is a calculus textbook at the college Freshman level based on Abraham Robinson’s infinitesimals, which date from 1960 and have been updated continually through 2002.

Link to Full Review | Link to website | Copyright Type: Creative Commons Attribution-NonCommercial-ShareAlike 2.0

Algebraic Topology

Allen Hatcher

A topology book that “assumes the reader has some familiarity with the content of the standard undergraduate courses in algebra and point-set topology.”

Link to Full Review | Link to website | Copyright Type: Single paper or electronic copies for noncommercial personal use may be made without explicit permission from the author or publisher. All other rights reserved.

Five Free Calculus Textbooks Reviewed

This is a very comprehensive review of five books at slashdot.

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A First Course in Linear Algebra

Prof. Robert A Beezer, Univ of Puget Sound

One of my favorite textbook websites, this is an example of how all textbooks should be presented.

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Statnotes: An Online Textbook

Prof. G. David Garson, NC State

HTML only statistics book with many links and a course syllabus.

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QuickNotes Statistics

Walter Antoniotti

Online only version of print version available for sale. The site also has tons of links, practice problems, excel study guides, and much more.

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HyperStat Online Textbook

Prof. David Lane, Rice University

Free online textbook, with lots of links to other resources. Print version available from Amazon, see website for link.

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Statistics: Methods and Applications

StatSoft.com

his Electronic Statistics Textbook offers training in the understanding and application of statistics.

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MERLOT

An absolutely insane collection of links to every subject. 133 links for geology alone! No matter what you’re studying, chances are there’s something here for you.

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iLumina

iLumina is a digital library of sharable undergraduate teaching materials for chemistry, biology, physics, mathematics, and computer science.

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Introduction to Groups, Invariants, and Particles

Frank W. K. Firk, Professor Emeritus, Yale University

A book for Seniors and advanced Juniors who are majoring in the Physical Sciences or Mathematics.

Link to Full Review | Link to website | Copyright Type: Copyright Free.

Essential Physics

Frank W. K. Firk, Professor Emeritus, Yale University

An intensive introduction to classical and special relativity, Newtonian dynamics and gravitation, Einsteinian dynamics and gravitation, and wave motion.

Link to Full Review | Link to website | Copyright Type: Copyright Free.