Algebra (Google eBook)

Front Cover
Springer, Jan 1, 1993 - Mathematics - 153 pages
2 Reviews
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
  

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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
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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 ...
links.jstor.org/ sici?sici=0025-5572(199503)2%3A79%3A484%3C195%3AA%3E2.0.CO%3B2-Y

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 ...
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Used Math Textbooks
0201103052, ADDISON WESLEY, HS, ALGEBRA 1, 1982, $12.00 .... 0844518468, LAIDLAW, HS, ALGEBRA 2 WITH TRIGONOMETRY, 1987, $18.00 ...
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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

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GT-cybersource ~ Search Results
Boxer Introductory Algebra, Boxer Intermediate Algebra and Boxer Trigonometry ... This website connects people to a variety of algebra resources. ...
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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. ...
www.springer.com/ cda/ content/ document/ cda_downloaddocument/ Mathe_Catalog_2007.pdf?SGWID=0-0-45-168081-0& teaserId=180...

book.store.bg - Trigonometry - im Gelfand, Mark Saul
Like other im Gelfand treasures in the program—Algebra, Functions and Graphs ... [The authors] have shown how to write a serious yet lively book on algebra. ...
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