Algebra is one of the broad parts of mathematics‚ together with number theory‚ geometry and analysis. For historical reasons‚ the word "algebra" has several related meanings in mathematics‚ as a single word or with qualifiers. • As a single word without article‚ "algebra" names a broad part of mathematics (see below). • As a single word with article or in plural‚ "algebra" denotes a specific mathematical structure. See algebra (ring theory) and algebra over a field. • With a qualifier‚ there
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Introduction to Modern Algebra David Joyce Clark University Version 0.0.6‚ 3 Oct 2008 1 Copyright (C) 2008. 1 ii I dedicate this book to my friend and colleague Arthur Chou. Arthur encouraged me to write this book. I’m sorry that he did not live to see it finished. Contents 1 Introduction 1.1 Structures in Modern Algebra . . . . . . . . . . . . . . . . . . . . . . . . . 1.1.1 Operations on sets . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1.2 Fields . . . . .
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Algebra Algebra was invented by the Muslim mathematician Al-Khwarizmi in the book he wrote in 820. Algebra is the Arabic word (aljabr) for "equation"‚ and the word "algorithm" comes from the author’s name‚ Al-Khwarizmi. He is rightly known as "the father of Algebra The roots of algebra can be traced to the ancient Babylonians‚ who developed an advanced arithmetical system with which they were able to do calculations in analgorithmic fashion. The Babylonians developed formulas to calculate solutions
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The History of Algebra The history of algebra has been around for several decades‚ this method of mathematics has been used during the beginning of time. The development of algebraic notation progressed through out three stages: the rhetorical stage‚ the syncopated stage‚ and the symbolic stage with which we are use to using in our daily usage of algebra. In ancient civilization math was used to help leaders to strategically form how their troops should be lined up for battle and help decide
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2014/9/16 Linear Equations Ad Options Ads by Vidx Linear Equations A linear equation is an equation for a straight line These are all linear equations: y = 2x+1 5x = 6+3y y/2 = 3 x Let us look more closely at one example: Example: y = 2x+1 is a linear equation: The graph of y = 2x+1 is a straight line When x increases‚ y increases twice as fast‚ hence 2x When x is 0‚ y is already 1. Hence +1 is also needed So: y = 2x + 1 Here are some example values: http://www.mathsisfun.com/algebra/linear-equations
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HISTORY OF ALGEBRA M AT H 1 WHAT IS ALGEBRA? • Denotes various kinds of mathematical ideas and techniques • more or less directly associated with formal manipulation of abstract symbols and/or with finding the solutions of an equation. HISTORICAL OBJECTIVES 1. attempts to deal with problems devoted to finding the values of one or more unknown quantities. 2. the evolution of the notion of number 3. the gradual refinement of a symbolic language THE SEARCH OF “EQUATION” • Egyptian Mathematics
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sense that there are many aspects of Algebra that the majority of people do not use on a daily basis. I think that this fact is what leads people to the false conclusion that Algebra is useless. To better understand our topic‚ let’s define what we mean when we say “Algebra”. Webster’s dictionary defines Algebra as “a form of mathematics dealing with symbols and equations.” A guest in the mathematics forum on xpmath.com states that “…the truth is that Algebra is not much more than arithmetic expanded
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MC-B TOPIC; LINEAR PROGRAMMING DATE; 5 JUNE‚ 14 UNIVERSITY OF CENTRAL PUNJAB INTRODUCTION TO LINEAR PROGRAMMING Linear programming (LP; also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming
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15c+12m=3000 will be on the boundary line which lies between the origin to the x and y intercepts. The shaded section is from the line towards the origin and stops at the 2 axis. The point is in the first quadrant and under the shaded area is the solution; Therefore‚ the ordered pair (x‚y) is the point in the shaded region. The Ozark Furniture Company can obtain x number of classic rockers and y number of modern ones. So x-axis shows the number of classic chairs and y-axis shows the number of modern
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Algebra 2 PRACTICE Chapter 12 Test ____________________________ “…………………………..” 3/18/14 You may use a calculator for the entire test; however‚ the solutions for numbers 1 through 3 must be exact solutions—NO DECIMAL SOLUTIONS FOR THE FIRST PAGE. Do not rationalize. SHOW WORK ! I. Solve the following systems by either the substitution or the elimination (addition) method. Write your answers as ordered pairs/ordered triples.(These are worth 5 points each) 2. 6x+y-z=-22x+5y-z=2x+2y+z=5
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