Earth Watch

Why it is hard to predict sudden environmental crises

news.bbc.co.uk

A deep-sea fish caught in the Pacific has mirrors for eyes

A deep-sea fish caught in the Pacific has eyes which use mirrors as well as lenses, scientists discover.

news.bbc.co.uk

Our writers talk back

Some of the previous contributors to the Green Room respond to readers' questions and comments.

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Holes give edge to new armour

Scientists from the UK Ministry of Defence (MoD) have devised ultra-hard vehicle armour to protect military personnel.

news.bbc.co.uk

Everest trip helps critically ill

Blood oxygen levels recorded on a trip by medics to Everest could help the treatment of critically ill patients.

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First flight of algae-fuelled jet

Continental Airlines is the latest to test fly a jet biofuel, this time with a product derived partially from algae.

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Heat may spark world food crisis

Half the world's population could face food crisis by 2100 as soaring temperatures cripple staple crops, scientists warn.

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Venomous mammal caught on camera

Rare footage of one of the world's most strange and elusive mammals is captured by scientists.

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Black holes 'preceded galaxies'

Astronomers believe they have solved a cosmic chicken-and-egg question: what came first - black holes or galaxies?

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Feilden's blog

Ground-breaking new technique in stem cell science

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Body repair 'could be ramped up'

A combination of drugs could trick the body into sending its repair mechanisms into overdrive, say scientists.

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Eat it or lose it - why centuries of crop diversity are at risk

Centuries of crop diversity are at risk of being lost forever as farmers turn to just a few modern, high yielding varieties.

news.bbc.co.uk

Canadians claim South Pole record

A trio of Canadians claim a new record for the fastest trek across Antarctica to the South Pole.

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Poetry or science?

Is romantic love just a chemical cocktail?

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Tech fair offers greener vision

Analysts at the Consumer Electronics Show say green credentials of tech products will become critical to success.

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Animal matters

Scotland's debate over tests on primates

news.bbc.co.uk

Mosquitoes make sweet love music

Sexy songs sung by mosquitoes in courtship could be key to curbing the spread of dengue fever, say scientists.

news.bbc.co.uk

'Wolfman' returns

Explorer Jim McNeill tracks down Arctic wolves

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Baby Jupiter's huge weight gain

The planet Jupiter must have gained mass fast during its infancy, according to astronomers.

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Zimbabwe troops 'eat elephants'

A Zimbabwean wildlife campaigner tells the BBC that soldiers are being given elephant meat to eat, as the economic crisis deepens.

news.bbc.co.uk

Panda bites his third tourist in two years at Beijing zoo

A panda at Beijing zoo bites a man for the third time in two years.

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US vows 'huge' marine protection

The US is to establish "the largest area of protected sea in the world", banning fishing and mining, around its Pacific islands.

news.bbc.co.uk

Beagle hunter

On a mission to find the most famous ship of science

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China alert over bird flu death

Chinese authorities shut down and clean poultry markets in Hebei province, after the first human death in nearly a year.

news.bbc.co.uk

Mummy of female pharaoh uncovered

Egyptologists find remains of a mummy thought to belong to a queen who ruled 4,300 years ago, Egypt's antiquities chief announced.

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 Science > Algebra

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Science > Algebra

Algebra:

Abstract Algebra

Lecture notes by David Wilkins, Trinity College, Dublin. Topics in Number Theory; Group Theory; Galois Theory.

http://www.maths.tcd.ie/~dwilkins/Courses/311/

Graand

Free Classified Ads Portal

www.graand.com

Abstract Algebra Online

Contains many of the definitions and theorems from the area of mathematics generally called abstract algebra. Intended for undergraduate students taking an abstract algebra class at the junior/senior level, as well as for students taking their first graduate algebra course.

http://www.math.niu.edu/~beachy/aaol/

Algebra

From Spartanburg County School District Two.

http://www.spartanburg2.k12.sc.us/links/algebra.htm

Algebraic Areas of Mathematics

Topics include number theory, groups and sets, commutative rings, algebraic geometry, and linear algebra.

http://www.math.niu.edu/~rusin/known-math/index/tour_alg.html

All About Circuits - Boolean Algebra

An introduction to boolean algebra from the perspective of electronic engineering.

http://www.allaboutcircuits.com/vol_4/chpt_7/index.html

A Catalogue of Lattices

By Gabriele Nebe and Neil Sloane.

http://www.research.att.com/~njas/lattices/

Center for Commutative Algebra

A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists.

http://www.commalg.org/

Cohomology of Modules over the Mod 2 Steenrod Algebra

Robert R. Bruner, Wayne State University. Tables in PS or GIF formats.

http://www.math.wayne.edu/~rrb/cohom/

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.

http://www.clarku.edu/~djoyce/complex/

FDLIST

Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software.

http://www.mathematik.uni-bielefeld.de/birep/fdlist.html

Harmonic Polynomials for the Symmetric Group and Macdonald Symmetric Polynomials

Offers outline of the problem, bibliography, and math tables. Resources assembled by François Bergeron.

http://bergeron.math.uqam.ca/conjecture_fact.html

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 Forms, Elliptic Curves, Abelian Varieties, Etale Cohomology, and Class Field Theory.

http://www.jmilne.org/math/

Homogeneous Transformation Matrices

Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.

http://www.silcom.com/~barnowl/HTransf.htm

IDA: Algebra Interactive

An HTML-based book by Arjeh M. Cohen, Hans Cuypers and Hans Sterk. It focuses on an algorithmic approach to algebraic structures. Many of these tools and examples use the computer algebra package GAP. Site has samples and errata.

http://www.win.tue.nl/~ida/

Intro to Abstract Algebra

Paul Garrett's detailed and comprehensive lecture notes in abstract algebra.

http://www.math.umn.edu/~garrett/m/intro_algebra/index.shtml

An Introduction to the Algebraic Specification of Abstract Data Types

Jean Baillie, Department of Computer Science, University of Hertfordshire.

http://homepages.feis.herts.ac.uk/~comqejb/algspec/pr.html

Lecture Notes in Algebra and Number Theory

Andrew Baker, University of Glasgow.

http://www.maths.gla.ac.uk/~ajb/course-notes.html

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.

http://mathforum.org/algpow/

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.

http://www.geocities.com/zerodivisor/

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.

http://www.cs.unm.edu/~mccune/papers/robbins/

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.

http://groups.yahoo.com/group/univalg/

VectorLand

An online course to get to grips with 3D vectors. Most of the material is about UK A-level difficulty.

http://members.tripod.com/~Paul_Kirby/vector/VectorLand.html

What is a Jordan-like Algebra?

Includes generalizations, and algebraic geometry. Notes and links by Tony Smith.

http://www.valdostamuseum.org/hamsmith/Jordan.html