Mathematics A. Shen; I. M. Gelfand Algebra

ISBN 13: 9780817636777

Algebra

Valutazione media 4,42
( su 45 valutazioni fornite da GoodReads )
 
9780817636777: Algebra

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

“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

Contenuti:

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 for square 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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Isarel M. Gelfand, A. Shen
Editore: BIRKHAUSER BOSTON INC, United States (2003)
ISBN 10: 0817636773 ISBN 13: 9780817636777
Nuovi Paperback Quantità: 10
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro BIRKHAUSER BOSTON INC, United States, 2003. Paperback. Condizione libro: New. 1st ed. 2004. Corr. 2nd printing 2003. 226 x 152 mm. Language: English . Brand New Book. 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. Codice libro della libreria SPR9780817636777

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 23,59
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: Italia
Destinazione, tempi e costi

2.

Izrail M. Gelfand, A. Shen
Editore: Birkhauser Boston Inc
ISBN 10: 0817636773 ISBN 13: 9780817636777
Nuovi Paperback Quantità: 3
Da
THE SAINT BOOKSTORE
(Southport, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Birkhauser Boston Inc. Paperback. Condizione libro: new. BRAND NEW, Algebra (1st ed. 2004. Corr. 2nd printing 2003), Izrail M. Gelfand, A. Shen, 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. Codice libro della libreria B9780817636777

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 20,00
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 6,99
Da: Regno Unito a: Italia
Destinazione, tempi e costi

3.

Isarel M. Gelfand, A. Shen
Editore: BIRKHAUSER BOSTON INC, United States (2003)
ISBN 10: 0817636773 ISBN 13: 9780817636777
Nuovi Paperback Quantità: 10
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro BIRKHAUSER BOSTON INC, United States, 2003. Paperback. Condizione libro: New. 1st ed. 2004. Corr. 2nd printing 2003. 226 x 152 mm. Language: English . Brand New Book. 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. Codice libro della libreria SPR9780817636777

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 27,64
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: Italia
Destinazione, tempi e costi

4.

Isarel M. Gelfand, A. Shen
Editore: Birkhauser Boston Inc, Secaucus
ISBN 10: 0817636773 ISBN 13: 9780817636777
Nuovi paperback Quantità: > 20
Da
Blackwell's
(Oxford, OX, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Birkhauser Boston Inc, Secaucus. paperback. Condizione libro: New. Codice libro della libreria 9780817636777

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 22,56
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 5,64
Da: Regno Unito a: Italia
Destinazione, tempi e costi

5.

A. Shen; I. M. Gelfand
ISBN 10: 0817636773 ISBN 13: 9780817636777
Nuovi Quantità: 2
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808176367770000000

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 29,07
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: U.S.A. a: Italia
Destinazione, tempi e costi

6.

Israel M. Gelfand, Alexander Shen
Editore: Birkh?user (2003)
ISBN 10: 0817636773 ISBN 13: 9780817636777
Nuovi Brossura Quantità: 2
Valutazione libreria
[?]

Descrizione libro Birkh?user, 2003. Condizione libro: New. 2003. Paperback. An elementary algebra text, presented in a clear and simple form that is intended to engage the curiosity and intellectual interest of students. Num Pages: 160 pages, 3 black & white illustrations, biography. BIC Classification: 4KL; PBF. Category: (UA) A / AS level; (UU) Undergraduate. Dimension: 234 x 157 x 9. Weight in Grams: 266. . . . . . . Codice libro della libreria V9780817636777

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 30,34
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Irlanda a: Italia
Destinazione, tempi e costi

7.

I.M. Gelfand
Editore: Springer (2013)
ISBN 10: 0817636773 ISBN 13: 9780817636777
Nuovi Brossura Quantità: 4
Da
Ria Christie Collections
(Uxbridge, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer, 2013. Condizione libro: New. book. Codice libro della libreria ria9780817636777_rkm

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 25,63
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 5,25
Da: Regno Unito a: Italia
Destinazione, tempi e costi

8.

Israel M. Gelfand, Alexander Shen
Editore: Birkhäuser
ISBN 10: 0817636773 ISBN 13: 9780817636777
Nuovi Brossura Quantità: 2
Da
Kennys Bookstore
(Olney, MD, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Birkhäuser. Condizione libro: New. 2003. Paperback. An elementary algebra text, presented in a clear and simple form that is intended to engage the curiosity and intellectual interest of students. Num Pages: 160 pages, 3 black & white illustrations, biography. BIC Classification: 4KL; PBF. Category: (UA) A / AS level; (UU) Undergraduate. Dimension: 234 x 157 x 9. Weight in Grams: 266. . . . . . Books ship from the US and Ireland. Codice libro della libreria V9780817636777

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 31,82
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: U.S.A. a: Italia
Destinazione, tempi e costi

9.

Isarel M. Gelfand
Editore: Birkhauser Boston Inc (2002)
ISBN 10: 0817636773 ISBN 13: 9780817636777
Nuovi Quantità: 2
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Birkhauser Boston Inc, 2002. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780817636777

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 20,10
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 11,74
Da: Regno Unito a: Italia
Destinazione, tempi e costi

10.

I. M. Gelfand
Editore: Birkhäuser Jul 2003 (2003)
ISBN 10: 0817636773 ISBN 13: 9780817636777
Nuovi Taschenbuch Quantità: 1
Print on Demand
Da
AHA-BUCH GmbH
(Einbeck, Germania)
Valutazione libreria
[?]

Descrizione libro Birkhäuser Jul 2003, 2003. Taschenbuch. Condizione libro: Neu. 235x155x8 mm. This item is printed on demand - Print on Demand Neuware - 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. 160 pp. Englisch. Codice libro della libreria 9780817636777

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 26,70
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 8,90
Da: Germania a: Italia
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro