Mathematics

S.O.S. Math - Calculus S.O.S. Math - Calculus- Explains concepts in detail of limits, convergence of series, finding the derivative from the definition and continuity. Some basic formula conversions are… Dr. Vogel's Gallery of Calculus Pathologies Dr. Vogel's Gallery of Calculus Pathologies- Discusses instances of functions that are more difficult to apply calculus formulas to. Examples that are included are discontinuous f… UBC Calculus Help: Derivatives UBC Calculus Help: Derivatives- University of British Columbia course notes. Covers functions, derivatives and applications of derivatives in some detail. Calculus labs or short q… Dan's Math at Home Lessons: Calculus Dan's Math at Home Lessons: Calculus- Features step by step lessons to introductory calculus. Included are function and precalculus preview pages. Graphics for the Calculus Classroom Graphics for the Calculus Classroom- Graphical demonstrations developed by Douglas N. Arnold for the first year calculus student. UBC Calculus Help: Integrals UBC Calculus Help: Integrals- University of British Columbia course notes. Covers integration and series with applications. Illustrated with interactive Java applets. Dan the Tutor Dan the Tutor- Features practice exams and worked out solutions covering limits, derivatives and integrals. In PDF format. Technology Based Problems Technology Based Problems- Calculus and differential calculus problems are presented. The possible solution or solutions are given. World Web Math: Calculus Summary World Web Math: Calculus Summary- An overview of calculus ideas. Covered are derivative rules and formulas as well as some basic integration rules. Math Shop: Review Questions Math Shop: Review Questions- Review quizzes for calculus, differential equations, linear algebra and other advanced math fields. A Physicist's View of Teaching Calculus A Physicist's View of Teaching Calculus- Topics in calculus that are important in physics Visual Calculus Visual Calculus- Short descriptions and examples for limits, derivatives, and integrals. Various plug-ins are needed to view some of the pages. Automatic Calculus Solutions Automatic Calculus Solutions- Check calculus homework. Enter a function and click for a step-by-step derivative or integral with each step explained. Calculus Made Easier Calculus Made Easier- An introduction to the basic concepts. The derivative and integral are explained. Resource links included. Wikipedia: Calculator Wikipedia: Calculator- Encyclopedia article about calculators, including their usage, history and development. The International Society for Analysis, its Applications and Computation (ISAAC) The International Society for Analysis, its Applications and Computation (ISAAC)- Established in 1994 to promote and advance analysis, its applications, and its interaction with c… The Nrich Maths Project Cambridge: Fractional Calculus I The Nrich Maths Project Cambridge: Fractional Calculus I- Using the gamma function, a definition of integration and differentiation performed a fractional number of times is prese… Harmonic Analysis Harmonic Analysis- Maintained by Terence Tao, UCLA. Lists events, personal pages, preprints, research groups, other links. An Introduction to the Gauge Integral An Introduction to the Gauge Integral- Discusses the properties of an alternative integration theory, and its relationship with the Riemann and Lebesgue integrals. A Catalogue of Lattices A Catalogue of Lattices- By Gabriele Nebe and Neil Sloane. FDLIST FDLIST- Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software. Macdonald Polynomials Macdonald Polynomials- Includes information about the Ribbon Rule, as well as link about symmetric functions and representation theory. What is a Jordan-like Algebra? What is a Jordan-like Algebra?- Includes generalizations, and algebraic geometry. Notes and links by Tony Smith. Octonions and Sedenions Octonions and Sedenions- Enter the world of 8 and 16 dimensional hypercomplex numbers and discover that the laws that are taken for granted, but do not always hold true. Mileski Theorem Mileski Theorem- A new mathematical theorem proposed by Robert Mileski. All About Circuits - Boolean Algebra All About Circuits - Boolean Algebra- An introduction to boolean algebra from the perspective of electronic engineering. Robbins Algebras Are Boolean Robbins Algebras Are Boolean- A web text by William McCune describing the solution of this problem by a theorem-proving program, with input files and the proofs. Cohomology of Modules over the Mod 2 Steenrod Algebra Cohomology of Modules over the Mod 2 Steenrod Algebra- Robert R. Bruner, Wayne State University. Tables in PS or GIF formats. VectorLand VectorLand- An online course to get to grips with 3D vectors. Most of the material is about UK A-level difficulty. Home Page of J. S. Milne Home Page of J. S. Milne- Includes preprints and course notes on Group Theory, Fields and Galois Theory, Algebraic Geometry, Algebraic Number Theory,Modular Functions and Modular … Univalg Mailing List Univalg Mailing List- Mailing list for use by the Universal Algebra community. Universal Algebra is a technical branch of mathematics related to algebra and model theory. Lecture Notes in Algebra and Number Theory Lecture Notes in Algebra and Number Theory- Andrew Baker, University of Glasgow. Homogeneous Transformation Matrices Homogeneous Transformation Matrices- Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations. Dave's Short Course on Complex Numbers Dave's Short Course on Complex Numbers- An introduction with math and a little history intended for those having a familiarity with ordinary real numbers and algebra. Center for Commutative Algebra Center for Commutative Algebra- A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists. Abstract Algebra Online Abstract Algebra Online- Contains many of the definitions and theorems from the area of mathematics generally called abstract algebra. Intended for undergraduate students taking a… Intro to Abstract Algebra Intro to Abstract Algebra- Paul Garrett's detailed and comprehensive lecture notes in abstract algebra. Abstract Algebra Abstract Algebra- Lecture notes by David Wilkins, Trinity College, Dublin. Topics in Number Theory; Group Theory; Galois Theory. Math Forum: Algebra Problem of the Week Math Forum: Algebra Problem of the Week- A weekly interactive project for algebra on the Internet. Challenging problems are posted and solutions appear on the Web. Frequently Asked Questions in Mathematics Frequently Asked Questions in Mathematics- Covers diverse topics such as algebra structure, names for large numbers, how to compute pi and games. How to Read Mathematics How to Read Mathematics- Article categorizes some of the strategies for a mathematics reading protocol. Math Forum Math Forum- Features combined archive and portal to web resources, educational issues, help forums, mailing lists, and teaching materials. Wolfram MathWorld Wolfram MathWorld- Formerly Eric Weisstein's World of Mathematics. Glossary of terms. Material ranges from undergraduate to research level.