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Basic Language Of Mathematics

ISBN: 9789814596091 出版年:2014 页码:321 Schaffer Juan Jorge World Scientific Publishing Company

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This book originates as an essential underlying component of a modern, imaginative three-semester honors program (six undergraduate courses) in Mathematical Studies. In its entirety, it covers Algebra, Geometry and Analysis in One Variable.The book is intended to provide a comprehensive and rigorous account of the concepts of set, mapping, family, order, number (both natural and real), as well as such distinct procedures as proof by induction and recursive definition, and the interaction between these ideas; with attempts at including insightful notes on historic and cultural settings and information on alternative presentations. The work ends with an excursion on infinite sets, principally a discussion of the mathematics of Axiom of Choice and often very useful equivalent statements.

Amazon评论
Eugene S

I have been teaching introduction to mathematical proof courses on and off for more than 15 years. Every time a new book for such a course comes along I take a look. This book is one of the worst I have seen. It's heavy on notation. It has trouble conveying what's important and what's not. It makes simple things complicated. As a result it's difficult to read. On top of all this, it doesn't do much. I believe I covered more in one semester than this book covers in 4.

Eugene S

I have been teaching introduction to mathematical proof courses on and off for more than 15 years. Every time a new book for such a course comes along I take a look. This book is one of the worst I have seen. It's heavy on notation. It has trouble conveying what's important and what's not. It makes simple things complicated. As a result it's difficult to read. On top of all this, it doesn't do much. I believe I covered more in one semester than this book covers in 4.

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