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# Topic: Algebra

###### In the News (Mon 17 Jun 19)

 PlanetMath: algebra This is version 10 of algebra, born on 2001-10-19, modified 2006-07-31. Object id is 353, canonical name is Algebra. While this entry may be technically correct, I still woulden't know what algebra was by reading it ;) May I suggest a short history of the invention of algebra, as well something to to tune of "a system to manipulate mathematical formulas" planetmath.org /encyclopedia/Algebra.html   (201 words)

 Highlights in the History of Algebra The development of algebraic notation progressed through three stages: the rhetorical (or verbal) stage, the syncopated stage (in which abbreviated words were used), and the symbolic stage with which we are all familiar. Renaissance mathematics was to be characterized by the rise of algebra. This advance freed algebra from the consideration of particular equations and thus allowed a great increase in generality and opened the possibility for studying the relationship between the coefficients of an equation an the roots of the equation ("theory of equations"). www.ucs.louisiana.edu /~sxw8045/history.htm   (1896 words)

 Standards for School Mathematics: Algebra   (Site not responding. Last check: 2007-10-22) Algebra encompasses the relationships among quantities, the use of symbols, the modeling of phenomena, and the mathematical study of change. The word algebra is not commonly heard in elementary school classrooms, but the mathematical investigations and conversations of students in these grades frequently include elements of algebraic reasoning. A strong foundation in algebra should be in place by the end of eighth grade, and ambitious goals in algebra should be pursued by all high school students. standards.nctm.org /document/chapter3/alg.htm   (244 words)

 Science > Math > Algebra Algebra occurs as branch of mathematics which studies structure and quantity. A origins of algebra may be traced to the cultures of the ancient Egyptians and Babylonians who utilized an early nature and severity of algebra to solve linear, quadratic, and indeterminate equations to a higher degree 3,000 years ago. Algebra was introduced to Europe largely through the work of Leonardo Fibonacci of Pisa in his work Liber Abaci around 1202. algebra.generalanswers.org   (670 words)

 KryssTal : Introduction To Algebra Algebra allows the finding of unknown numbers from information given. In algebra, letters are used in place of numbers that are not known. More algebraic expansions can be found in the Pascals' Triangle essay. www.krysstal.com /algebra.html   (2080 words)

 Awesome Library - Mathematics Provides a comprehensive set of advanced resources in algebra, including quadratic forms, field theory, equations, identities, invariants, operations, cyclotomy, coding theory, polynomials, and much more. Provides basic algebra tutorials by topic, incuding square roots, scientific notations, graphing, ratios, fractions, factoring, single and multi-variable equations, exponents, and word problems. Provides algebra tutorials by topic, incuding equations and inequalities, graphs or graphing and functions, polynomials and factoring, fractional expressions, powers and roots, complex numbers, quadratic equations and functions, coordinate geometry, exponential and logarithmic functions, probability, and matrices. www.awesomelibrary.org /Classroom/Mathematics/Middle-High_School_Math/Algebra.html   (499 words)

 SuperKids Software Review of Algebra Software, MONTH YEAR. SuperKids looked at four leading Algebra programs this month, and found four programs that were pretty good, each with different strengths and weaknesses. It is an excellent resource for those who need additional instruction and skill-building or who wish to move ahead of the classroom in algebra. Students struggling with algebra, however, may find the program lacks enough depth of structured instruction to be of major help. www.superkids.com /aweb/pages/reviews/math/algebra/1/sw_sum1.shtml   (233 words)

 Algebra Most of the activites are Algebra based and include such things as Points in the x-y plane, linear equations, graphs and systems, quadratic equations, graphs and systems, linear programming, conic sections, inequalities and least squares line of best fit. APPLETS that are appropriate for Algebra II or Precalculus. Algebra I practice on Equations, Inequalities, Absolute value, factoring and graphing linear equations. www.fcps.k12.va.us /DIS/OHSICS/math/socha/algebra.html   (1084 words)

 Salvador Vera: Directorio - Algebra The Banach Algebras Dictionary A searchable dictionary of definitions and theorems used in the study of Banach algebras. The higher dimensional analogues of vertex algebras: algebras which we hope have the same relation to higher dimensional quantum field theories that vertex algebras have to one dimensional quantum field theories (or to ``chiral halves'' of two dimensional conformal field theories). ALGEBRA - Mathematical abstraction from concrete experience An explanation of how the Montessori student learns algebra while interacting with manipulatives, physical objects, represented by expressions incorporating the numerals and variables of mathematics. www.satd.uma.es /matap/svera/links/matnet01.html   (5024 words)

 ALGEBRA - Mathematical abstraction from concrete experience   (Site not responding. Last check: 2007-10-22) Algebra involves the study of numbers in terms of their functions and relations. Having mastered these algebraic manipulations and notations, the student may substitute a definite base (such as base ten) for base x. As the student employs this knowledge of algebraic operations using expressions with a single variable to the task of mastering arithmetic, he also extends his study of algebra to numbers incorporating several variables. www.newbanner.com /CEL/Math/algebra2.htm   (1642 words)

 BUBL LINK: Algebra Journal founded in 1971 which publishes research articles in the areas of algebra, geometry, algebraic geometry and related fields, preferably in English. Papers deal with the analysis of algorithms for the solution of continuous models and numerical linear algebra, and the implementation and performance of such algorithms. Subject categories are algebraic geometry, combinatorial groups, combinatorics, complex variables, differential geometry, functional analysis, geometric topology and quantum algebra. bubl.ac.uk /link/a/algebra.htm   (539 words)

 Algebra The document Graduate Study in Algebra outlines the general areas of algebra studied here and describes the advanced undergraduate and graduate courses that are offered regularly. Mathematical physics, representation theory of infinite dimensional Lie algebras, quantum groups, and vertex algebras, integrable models statistical mechanics and quantum field theory. Model theory and algebra; stability theory, model theory of groups and fields with applications, differential fields. www.math.uiuc.edu /GraduateProgram/researchmath/algebra.html   (239 words)

 QuickMath Automatic Math Solutions The tem 'algebra' is used for many things in mathematics, but in this section we'll just be talking about the sort of algebra you come across at high-school. Algebra is the branch of elementary mathematics which uses symbols to stand for unknown quantities. Although solving equations is really a part of algebra, it is such a big area that it has its own section in QuickMath. www.quickmath.com /www02/pages/modules/algebra/index.shtml   (641 words)

 Sites to use to practice skills needed on the Algebra Gateway exam Algebra vs the Cockroaches - determine the slope of the line that cockroaches are crawling along to destroy them Solving Polynomial Equations - In algebra you spend lots of time solving polynomial equations or factoring polynomials (which is the same thing). Using Graphs, Equations, and Tables to Investigate the Elimination of Medicine from the Body: Graphing the Situation This three-part example illustrates the use of iteration, recursion, and algebra to model and analyze the changing amount of medicine in an athlete's body. www.internet4classrooms.com /gateway_algebra.htm   (4302 words)

 Basic Algebra Calculators Algebra -- "Quickmath can expand, factor or simplify virtually any expression, cancel common factors within fractions, split fractions up into smaller ('partial') fractions and join two or more fractions together into a single fraction." Interactive Algebra -- Interactive algebra tutorials that show you how to solve, factor and graph equations. Math2.org -- Theorems, tables, identities, proofs and graphs for general math, algebra, geometry, trig, linear algebra, discrete math, statistics, calculus, and advanced topics. www.ifigure.com /math/algebra/algebra.htm   (890 words)

 Amazon.com: Algebra: Books: Michael Artin   (Site not responding. Last check: 2007-10-22) Artin's book is algebra with light strong hints of geometry throughout, as he is in algebraic geometry. I happened upon this book a little late--in fact, only after I'd taken a semester of graduate-level algebra and already felt like analysis was the path I wanted to take--but I'm beginning to think I would have been more keen on going into algebra if I'd first learned it from a book like this one. A basis in calculus, linear algebra, and perhaps a first course in the algebra of rings is required to truly appreciate the text. www.amazon.com /exec/obidos/tg/detail/-/0130047635?v=glance   (2584 words)

 The Algebra Buster If you represent a school or are yourself a teacher, contact us with any questions concerning purchase orders, multiple licensing or if you would like to find out whether a custom made arrangement can be created for your institution. Algebra-online is made up of a team of highly educated professionals consisting of pre-college algebra instructors, high-level math professors, educational physiologists and business professionals who work together to create the most effective learning software possible. The Algebra Helper solves my quadratic equation by factoring, but I want it to use the quadratic formula. www.algebra-online.com /algebra-faq.htm   (995 words)

 Amazon.com: Algebra: Books: Serge Lang   (Site not responding. Last check: 2007-10-22) Intended as a basic text for a one-year course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. As others have said, this is not a book to begin learning algebra, but is a necessary book for most students to have on their shelves. For instance one of our research professors tells his students the prerecquisite for working in algebraic number theory is to become comfortable with algebra at the level of Lang. www.amazon.com /exec/obidos/tg/detail/-/038795385X?v=glance   (2649 words)

 Algebra Algebra is usually presented at three levels: elementary or high school, intermediate or college, and advanced or higher algebra. Algebra and geometry were more advanced subjects, involving theory as well as practical matters, and were taught in high school and college. Algebraic results may be tested by restricting them to cases where the outcome is simple and known. www.du.edu /~jcalvert/math/algebra.htm   (17854 words)

 Algebra Algebra Online - free responses to your math questions (within 2 days), a live chat, and a message board, among quick responses to your math problems, for all levels of mathematics. Algebra - fairly comprehensive collection of explanations of algebra concepts with examples, including mathematical numbers, real number system, notation, algebraic expressions, factoring, quadratic equations and inequalities, graphing, conic sections, functions (polynomial functions and exponential and logarithmic functions), linear algebra, and discrete algebra Algebra on the Internet - Algebra I and Algebra II class notes and tests from a community college algebra program. www.wade.org /algebra.htm   (775 words)

 Home Page of Robert B. Ash   (Site not responding. Last check: 2007-10-22) The prerequisite is a standard graduate course in algebra. Commutative algebra is the theoretical foundation of algebraic geometry and algebraic number theory. Assuming as prerequisite a standard graduate algebra course, we attempt to reach an advanced level quickly and efficiently. www.math.uiuc.edu /~r-ash   (123 words)

 Algebra Main Page In its simplest form, algebra is a part of mathematics in which symbols such as letters of the alphabet stand for numbers. While this may sound very strange to mix letters and numbers in mathematics, you, in fact, know a lot about algebra already. Algebra in many ways is a special way of writing and representing ideas you already know. www.mcwdn.org /Algebra/AlgebraMain.html   (191 words)

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