Springer, Jan 1, 1993 - Mathematics - 153 pages
This text has been adopted at: Holyoke Community College, Holyoke, MA University of Illinois in Chicago, Chicago, IL University of Chicago, Chicago, IL California State University, Hayward, CA Georgia Southwestern College, Americus, GA Carey Col

### What people are saying -Write a review

#### Review: Singapore Math Algebra by Gelfand and Shen

User Review  - Li Su - Christianbook.com

it is a very challenging book for youngster. Book is in excellent shape and shipping in on time. Read full review

### Contents

 1 Introduction 1 4 Addition in the decimal number system 2 5 The multiplication table and the multiplication algorithm 5 6 The division algorithm 6 7 The binary system 8 8 The commutative law 11 10 The use of parentheses 13 11 The distributive law 14
 38 Values of polynomials and interpolation 72 39 Arithmetic progressions 77 40 The sum of an arithmetic progression 79 41 Geometric progressions 41 Geometric progressions 81 42 The sum of a geometric progression 83 43 Different problems about progressions 85 44 The welltempered clavier 87 45 The sum of an infinite geometric progression 91

 12 Letters in algebra 15 13 The addition of negative numbers 17 14 The multiplication of negative numbers 18 15 Dealing with fractions 21 16 Powers 25 17 Big numbers around us 26 18 Negative powers 27 19 Small numbers around us 29 20 How to multiply am by an or why our definition is convenient 30 21 The rule of multiplication for powers 32 The square of a sum 33 23 How to explain the square of the sum formula to your younger brother or sister 34 24 The difference of squares 36 25 The cube of the sum formula 39 26 The formula for a + 64 40 27 Formulas for a + 65 a + 66 and Pascals triangle 42 28 Polynomials 44 When are polynomials equal? 46 30 How many monomials do we get? 48 31 Coefficients and values 49 32 Factoring 51 33 Rational expressions 56 35 Polynomial and rational fractions in one variable 61 36 Division of polynomials in one variable the remainder 62 37 The remainder when dividing by x a 68
 46 Equations 94 47 A short glossary 95 49 The case p 0 Square roots 96 50 Rules for square roots 99 51 The equation x2 + px + q 0 Problem 235 Solve the equation 100 52 Vietas theorem 102 53 Factoring ax2 f bx + c 106 54 A formula for ax2 + bx + c 0 where a 0 107 55 One more formula concerning quadratic equations 108 57 The graph of the quadratic polynomial 110 58 Quadratic inequalities 114 60 Biquadratic equations 116 61 Symmetric equations 117 62 How to confuse students on an exam 118 63 Roots 120 64 Noninteger powers 123 65 Proving inequalities 127 66 Arithmetic and geometric means 130 67 The geometric mean does not exceed the arithmetic mean 132 69 Geometric illustrations 134 70 The arithmetic and geometric means of several numbers 136 71 The quadratic mean 144 72 The harmonic mean 147 Copyright

### References from web pages

JSTOR: Algebra
Algebra, by im Gelfand anda. Shen. Pp 154. swfr 36. 1993. ISBN 0-8176-3677- 3 (Birkhauser) This slim volume had its genesis as one of a series of six texts ...

Algebra Gelfand im, Shen Alexander Birkhauser Verlag AG 0817636773 ...
Beyond basic knowledge in algebra, only valuation theory as explained in the .... Like other im Gelfand treasures in the programв_"Algebra, Functions and ...
www.logobook.ru/ prod_show.php?object_uid=11144763

Used Math Textbooks
0201103052, ADDISON WESLEY, HS, ALGEBRA 1, 1982, \$12.00 .... 0844518468, LAIDLAW, HS, ALGEBRA 2 WITH TRIGONOMETRY, 1987, \$18.00 ...
www.thebackpack.com/ used_math_textbooks.htm

10. Oktober 2003. U. Schoenwaelder; http://www.math.rwth-aachen.de ...
An Introduction to Commutative Algebra and Number Theory. ... Rings, Fields and Groups: an Introduction to Abstract Algebra. Arnold, London, ...
www.math.rwth-aachen.de/ ~Ulrich.Schoenwaelder/ Lit/ Algebra/ litAlgebra.pdf

algrebra Text - Physics Forums Library
i want to go back an brush up on algebra and trig because i havent done it since ... Algebra for the Practical Man (http://www.amazon.com/Algebra-practical- ...
www.physicsforums.com/ archive/ index.php/ t-164043.html

GT-cybersource ~ Search Results
Boxer Introductory Algebra, Boxer Intermediate Algebra and Boxer Trigonometry ... This website connects people to a variety of algebra resources. ...
www.gt-cybersource.org/ Results.aspx?NavID=1_0& catid=105& typeid=136& sid=4& acat=By%20Subject%20Area& atype=Mathematics

Birkhäuser Mathematics Catalog 2007
The algebra of primary cohomology. operations computed by the well-. known Steenrod algebra is one of. the most powerful tools of algebraic. topology. ...