Algebra - Softcover

Gelfand, I.M.

Softcover

ISBN 10: 0817636773 ISBN 13: 9780817636777

Verlag: Springer, 2013

Inhaltsangabe

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.

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Críticas:

“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

Reseña del editor:

The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990s. As early as the 1960s, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and intellectual interest of thousands of school and college students. These same ideas, this development, are available in the present books to any student who is willing to read, to be stimulated, and to learn. Algebra is an elementary algebra text from one of the leading mathematicians of the world - a major contribution to the teaching of the very first high school level course in a centuries old topic - refreshed by the author's inimitable pedagogical style and deep understanding of mathematics and how it is taught and learned.

Über diese Auflage

• Verlag: Springer
• Erscheinungsdatum: 2013
• ISBN 10: 0817636773
• ISBN 13: 9780817636777
• Einband: Tapa blanda
• Auflage: 1
• Anzahl der Seiten: 160