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Algebra Alexandra Shena i I. M. Gelfanda (1993, wydanie kieszonkowe)–
Stan:
“From private estate. In excellent condition.”
Sprzedane za:
US $22,95
Około90,02 zł
Wysyłka:
Znajduje się w: Spring Hill, Florida, Stany Zjednoczone
Dostawa:
Szacowana między Pt, 31 maj a Pn, 3 cze do 43230
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Nr przedmiotu eBay: 226144996326
Parametry przedmiotu
- Stan
- Bardzo dobry
- Uwagi sprzedawcy
- “From private estate. In excellent condition.”
- ISBN
- 9780817636777
- Publication Year
- 1993
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Publication Name
- Algebra
- Item Height
- 0.2in
- Item Length
- 9.3in
- Publisher
- Birkhäuser Boston
- Item Width
- 6.1in
- Item Weight
- 18.3 Oz
- Number of Pages
- 160 Pages
O tym produkcie
Product Information
This book is about algebra. This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.
Product Identifiers
Publisher
Birkhäuser Boston
ISBN-10
0817636773
ISBN-13
9780817636777
eBay Product ID (ePID)
224247
Product Key Features
Publication Name
Algebra
Format
Trade Paperback
Language
English
Publication Year
1993
Type
Textbook
Number of Pages
160 Pages
Dimensions
Item Length
9.3in
Item Height
0.2in
Item Width
6.1in
Item Weight
18.3 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa150-272
Grade from
Tenth Grade
Grade to
Twelfth Grade
Edition Number
3
Reviews
"The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done. [This] same philosophy lies behind the current text by Gelfand and Shen. There are specific 'practical' problems but there is much more development of the ideas ... [The authors] have shown how to write a serious yet lively look at algebra." --The American Mathematics Monthly "Were 'Algebra' to be used solely for supplementary reading, it could be wholeheartedly recommended to any high school student of any teacher ... In fact, given the long tradition of mistreating algebra as a disjointed collection of techniques in the schools, there should be some urgency in making this book compulsory reading for anyone interested in learning mathematics." --The Mathematical Intelligencer, The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done. [This] same philosophy lies behind the current text by Gelfand and Shen. There are specific 'practical' problems but there is much more development of the ideas … [The authors] have shown how to write a serious yet lively look at algebra. -The American Mathematics MonthlyWere 'Algebra' to be used solely for supplementary reading, it could be wholeheartedly recommended to any high school student of any teacher … In fact, given the long tradition of mistreating algebra as a disjointed collection of techniques in the schools, there should be some urgency in making this book compulsory reading for anyone interested in learning mathematics. -The Mathematical Intelligencer, "The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done. [This] same philosophy lies behind the current text by Gelfand and Shen. There are specific 'practical' problems but there is much more development of the ideas . . . [The authors] have shown how to write a serious yet lively look at algebra." a?The American Mathematics Monthly "Were Algebra to be used solely for supplementary reading, it could be wholeheartedly recommended to any high school student of any teacher . . . In fact, given the long tradition of mistreating algebra as a disjointed collection of techniques in the schools, there should be some urgency in making this book compulsory reading for anyone interested in learning mathematics." a?The Mathematical Intelligencer, The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done. [This] same philosophy lies behind the current text by Gelfand and Shen. There are specific 'practical' problems but there is much more development of the ideas … [The authors] have shown how to write a serious yet lively look at algebra. -The American Mathematics Monthly Were 'Algebra' to be used solely for supplementary reading, it could be wholeheartedly recommended to any high school student of any teacher … In fact, given the long tradition of mistreating algebra as a disjointed collection of techniques in the schools, there should be some urgency in making this book compulsory reading for anyone interested in learning mathematics. -The Mathematical Intelligencer, "The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done. [This] same philosophy lies behind the current text by Gelfand and Shen. There are specific 'practical' problems but there is much more development of the ideas ... [The authors] have shown how to write a serious yet lively look at algebra." --The American Mathematics Monthly "Were 'Algebra' to be used solely for supplementary reading, it could be wholeheartedly recommended to any high school student of any teacher ... In fact, given the long tradition of mistreating algebra as a disjointed collection of techniques in the schools, there should be some urgency in making this book compulsory reading for anyone interested in learning mathematics." --The Mathematical Intelligencer
Table of Content
1 Introduction.- 2 Exchange of terms in addition.- 3 Exchange of terms in multiplication.- 4 Addition in the decimal number system.- 5 The multiplication table and the multiplication algorithm.- 6 The division algorithm.- 7 The binary system.- 8 The commutative law.- 9 The associative law.- 10 The use of parentheses.- 11 The distributive law.- 12 Letters in algebra.- 13 The addition of negative numbers.- 14 The multiplication of negative numbers.- 15 Dealing with fractions.- 16 Powers.- 17 Big numbers around us.- 18 Negative powers.- 19 Small numbers around us.- 20 How to multiply am by an, or why our definition is convenient.- 21 The rule of multiplication for powers.- 22 Formula for short multiplication: The square of a sum.- 23 How to explain the square of the sum formula to our younger brother or sister.- 24 The difference of squares.- 25 The cube of the sum formula.- 26 The formula for (a + b)4.- 27 Formulas for (a + b)5, (a + b)6,... and Pascal's triangle.- 28 Polynomials.- 29 A digression: When are polynomials equal?.- 30 How many monomials do we get?.- 31 Coefficients and values.- 32 Factoring.- 33 Rational expressions.- 34 Converting a rational expression into the quotient of two polynomials.- 35 Polynomial and rational fractions in one variable.- 36 Division of polynomials in one variable; the remainder.- 37 The remainder when dividing by x - a.- 38 Values of polynomials, and interpolation.- 39 Arithmetic progressions.- 40 The sum of an arithmetic progression.- 41 Geometric progressions.- 42 The sum of a geometric progression.- 43 Different problems about progressions.- 44 The well-tempered clavier.- 45 The sum of an infinite geometric progression.- 46 Equations.- 47 A short glossary.- 48 Quadratic equations.- 49 The case p =. Square roots.- 50 Rules forsquare roots.- 51 The equation x2 + px + q =.- 52 Vieta's theorem.- 53 Factoring ax2 + bx + c.- 54 A formula for ax2 + bx + c = (where a ? 0).- 55 One more formula concerning quadratic equations.- 56 A quadratic equation becomes linear.- 57 The graph of the quadratic polynomial.- 58 Quadratic inequalities.- 59 Maximum and minimum values of a qua ratic polynomial.- 60 Biquadratic equations.- 61 Symmetric equations.- 62 How to confuse students on an exam.- 63 Roots.- 64 Non-integer powers.- 65 Proving inequalities.- 66 Arithmetic and geometric means.- 67 The geometric mean does not exceed the arithmetic mean.- 68 Problems about maximum and minimum.- 69 Geometric illustrations.- 70 The arithmetic and geometric means of everal numbers.- 71 The quadratic mean.- 72 The harmonic mean.
Copyright Date
2004
Topic
General, Algebra / General
Lccn
93-028904
Dewey Decimal
512
Intended Audience
Scholarly & Professional
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics
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Nr przedmiotu eBay: 226144996326
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| Wysyłka i obsługa | Do | Usługa | Dostawa*Zobacz uwagi o dostawie |
|---|---|---|---|
| US $6,95 (około 27,26 zł) | Stany Zjednoczone | Wysyłka ekonomiczna (USPS Media MailTM) | Szacowana między Pt, 31 maj a Pn, 3 cze do 43230 |
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