Mathematics
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A - F
- Algebra
Covers all aspects of algebra, from the basics to Linear Algebra. - For other links to aspects of Algebra, especially the basics, check the basic Mathematics page.
- Elementary Linear Algebra
Lecture Notes a link to a matrix calculator program and solutions. While done some time ago they have been modified in the last couple of years. - Linear Algebra [1]
Information, explanations, useful theorems, references, external links and more. From Wikipedia. - Linear Algebra [2]
‘This text Linear Algebra is Free for downloading. It covers an undergraduate first course, with a prerequisite of Calculus I. You can use it either as a main text, or as a supplement to another text, or for independent study. A separate file with all answers, fully worked, is also freely downloadable.’ - Linear Algebra Toolkit
‘This Linear Algebra Toolkit is comprised of the modules listed. Each module is designed to help a linear algebra student learn and practice a basic linear algebra procedure, such as Gauss-Jordan reduction, calculating the determinant, or checking for linear independence.’ - MIT Open Courseware
[Linear Algebra]
Video lectures from MIT. You will need RealOne™ Realplayer software to watch them. The course Home can be found here, as can resources, study materials, etc.. - Paul’s Online Math Notes
[Linear Algebra]
‘Here are my online notes for my Linear Algebra course that I teach. You can navigate through this E-Book using the menu. For E-Books that have a Chapter/Section organization each option in the menu to the left indicates a chapter and will open a menu showing the sections in that chapter.’ You can also download the book in .pdf format. - Books, Documents, Journals, … :
- Electronic Library of Mathematics, The
‘Online journals, article collections, monographs, and other electronic resources in the field of mathematics. All material is in electronic form and access is generally Free, except for some periodicals with a moving wall, i.e., a delay period after which resources become freely available.’ - Online Mathematics Textbooks
Nearly 70 links to online texts that are Free to use. They cover all areas of mathematics from Calculus to an Introduction to Vectors … . - Plus
Articles showing links between mathematical applications and the sciences, engineering and economics, interviews with present day mathematicians and new developments in mathematics. - PrePrint Archive
‘Access the contents of the Chemistry, Mathematics and Computer Science Preprint Archives.’ Registration is required but is Free. Excellent resource. - Textbooks in Mathematics
‘A list of links to useful mathematical textbooks available for Free on the Internet. They are all legal and maintained by their authors or by the legitimate publisher. All the documents are in English. They are in a printable format. You are free to download, read and print them. Here are some links to other sites offering lists of Free mathematical textbooks.’ Covers everything from General Mathematics to Number Theory. - Visit the new Textbooks’ page for a listing of this and other area’s textbooks that are available for Free, either online or in downloadable format.
- Wiley InterScience : Mathematics &
Statistics
Listings of books, journals, databases and more. - Calculus :
- Calculus and Analysis
Several hundred links grouped in 25 directories from Calculus to Dynamical, Systems, Integral Transforms and on to Special Functions. Each is further subdivided and explanations, references, etc., are provided. - Calculus on the Web
‘COW is an internet utility for learning and practicing calculus. The principal purpose of COW is to provide you, the student or interested user, with the opportunity to learn and practice problems in calculus in a friendly environment via the internet. The most important feature is that you get to know whether your answer is correct almost immediately. It is as if you had a tutor looking over your shoulder and helping you along as you work.’ - First Year Calculus
Downloadable chapters in .pdf format for use in the first year of tertiary studies. Used in at least one Australian university. - Databases, Mathematical :
- Mathematics Courseware Database Search Engine
‘Information on around 400 items of mathematical courseware of potential interest to those concerned with mathematics teaching and learning, with links to reviews and suppliers.’ Search mechanism. - MathSciNet
60 year database of mathematical writing. Covers 1 700+ Mathematical journals. Huge database. From the American Mathematical Society. - Mathematics Virtual Library [FSU Math]
Information and links under headings from bibliographies to software.
G - L
- General Sites & Portals :
- Academic Info : Mathematics
A directory of information on tertiary mathematics. - Clark University : Mathematics Links
[Department of Math and Computer Science]
Specialist links to Euclid’s Elements, a short trigonometry course, Mandelbrot and fractals and what is claimed to be the most important speech ever given by a mathematician to other mathematicians - Hilbert’s address of 1900 in Paris. - Cramster Maths Help
‘Cramster is a global online study community centered on providing understanding to math questions whether it’s related to homework, exam preparation or general learning.’ Based on specific textbooks used, leading to related solutions. Also other resources. - Common Errors in Undergraduate Maths
‘Errors that I have seen most frequently in undergraduate mathematics, the likely causes of those errors, and their remedies. I am tired of seeing these same old errors over and over again. I would rather see new, original errors !’
Check this ! - EEVL Mathematics
Now incorporated as part of the Intute Science, Engineering & Technology area. - Eric Weisstein’s World of Mathematics
Mathematics from algebra to applied mathematics, calculus and analysis to topology. Designed for tertiary.
Exceptional ! - Langara
Canadian site primarily linked to tertiary mathematics. - Mathematics Resources
Web resources, print articles. - Math Forum Home Page, The
Resources in levels, research, Key Issues in Maths, Math Forum Internet Mathematics Library and quick reference section. - Understanding Mathematics
American university study guide. Check instructions at the top before starting. - History, Mathematical :
- History of Mechanical Calculators - Part I
Links to Parts 2 and 3. Covers mechanical calculators from the abacus to Napier’s Bones. No Greek/Roman calculators. - History of Mathematics, The
Trinity College, Dublin. Covers several collections as well as extensive links.
M - R
- Mathematical Archives :
- Maths Archives
A British site with different portals to topics [see below], software, teaching materials, other features and other links. - Mathematics Archives - Links
Extensive range of links grouped under directory headings including ‘Bibliography’, ‘For Undergraduates’, ‘Electronic Journals,’, ‘Published Journals’, ‘Professional Societies’, ‘Other Sites’, ‘Mathsearch’ and more. - Mathematics Archives - Topics in Mathematics
40 topics are covered ranging from Abstract Algebra to Trigonometry. Designed for secondary and tertiary studies. - Prizes, Mathematics
A listing of, and linkages to, a range of prizes and awards in the area of Mathematics. - Fields Medal
A brief summary of the award and a listing of many of the winners of the premier Mathematics award, the equivalent of a Nobel Prize. - Fields Medal, The
Extensive information about the Fields Medal, an award won by an Australian in 2006. - Mathematics Prizes
A listing of prizes in the area of Mathematics. In addition to the specific links, there is also a series of other links to other sources. - Mathematical Societies, Medals, Prizes,
Other Honours
In addition to the other information, there is a series of links to Mathematics Prizes.
S - Z
- Software :
- GAMS Guide to Available Mathematical Software
‘Cross-index and virtual repository of mathematical and statistical software components of use in computational science and engineering.’ Search mechanism. - Mathematical Software
Links compiled by the University of Haifa and ranging from ACM Collected Algorithms to ZEN. Some Free, some Fee-based. Check to be certain. - Specific Mathematical Areas :
- Cryptography A - Z
Introduction, algorithms, protocols and standards, access references and resources available. - EqWorld
‘Presents extensive information on solutions to various classes of ordinary differential, partial differential, integral, functional, and other mathematical equations. It also outlines some methods for solving equations, includes interesting articles, gives links to mathematical websites, lists useful handbooks and monographs, and refers to scientific publishers, journals, etc..’ - Geometry
‘Several hundred links grouped in 30 directories from Algebraic Geometry to Trigonometry. Each is further subdivided and explanations, references, etc., are provided.’ - Integrator, The - Power To Do Integrals
The History of Integration, enter and compute Integrals. - Plane Curves, Xah Visual Dictionary of
Famous
Methods of generating new curves, special plane curves - definition, graphics, formulae, properties, web links, a curve family system. - Probability Web
‘Collection of probability resources on the World Wide Web (WWW). The pages are designed to be especially helpful to researchers, teachers, and people in the probability community.’ - Visual Calculus
‘Originally, designed for instructors to give some ideas how technology, in particular, computers, can be used in the teaching of calculus. Detailed instructions on implementing these ideas with various public domain, shareware and commercial software packages are provided. The collection has been expanded to include tutorials, interactive modules [LiveMath, Java, and Javascript] which can be used by either students or faculty and includes detailed instructions for TI™ and TI™ graphing calculators. As an additional aid for students, modules containing quizzes and drill problems have also been added.’ - Wolfram Functions
Information and examples for some 87 000+ formulae with 10 000+ having visualisations to help understanding. - Symbols, Mathematical
Includes mathematical notation. - Earliest Uses of Symbols of Operation
Begins with the addition and subtraction symbols and extends to some of the more complex mechanisms with relevant examples. Bibliography included. - Mathematical Symbols
‘This table contains mathematical symbols and links to definitions of what they represent.’ The table lists the symbol, what it is, how it is read, how it is used and sample expression[s]. There are several links to greater explanations of particular concepts. - Notation
Listed alphabetically from from ‘Almost All’ to ‘Wythoff Symbol’. Each has a descriptor, links to related sections on the site, the author of the contribution, references and the correct method of citing the contribution. - Tutorials, Mathematical :
- Internet Mathematician
Tutorial to practise internet information skills based around Mathematics. Links to Mathematics sites. - MIT OpenCourseware - Mathematics
Lists all the units which are available online from MIT for Free. Ranges from Calculus and Algebra to Matrix Theory and The Art of Counting. - S.O.S. Maths
‘Free resource for math[s] review material from Algebra to Differential Equations. The perfect study site for high school, college [university] and adult learners.’