Uses of Infinity / Leo Zippin.

By:

Zippin, Leo

Material type: Text

TextSeries: Anneli Lax new mathematical libraryPublication details: Cambridge : Cambridge University Press, 2012.Description: 1 online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9780883859247
0883859246

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Uses of Infinity.DDC classification:

512.83

LOC classification:

QA295

Online resources:

Click here to access online

Contents:

Front Cover -- Uses of Infinity -- Copyright Page -- Contents -- Preface -- Chapter 1. Popular and Mathematical Infinities -- Chapter 2. From Natural Numbers to â?š2 -- Chapter 3. From â?š2 to the Transfinite -- Chapter 4. Zig-Zags: To the Limit if the Limit Exists -- Chapter 5. The Self Perpetuating Golden Rectangle -- Chapter 6. Constructions and Proofs -- Solutions to Problems -- Bibliography

Summary: The word 'infinity' usually elicits feelings of awe, wonder, and admiration; the concept infinity has fascinated philosophers and theologians. The author shows how professional mathematicians tame this unwieldy concept, come to terms with it, and use its various aspects as their most powerful tools of the trade. The early chapters are descriptive and intuitive, full of examples that not only illustrate some infinite processes, but that are worth studying for their own sake. Many questions are raised in the beginning, partially answered in various contexts throughout the book, and finally treated with the precision necessary to give the reader an excellent grasp of the fundamental notions used in the calculus as well as in virtually all other mathematical disciplines. The text is peppered with challenging problems whose solutions appear at the end of the book.

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Title from publishers bibliographic system (viewed on 30 Jan 2012).

The word 'infinity' usually elicits feelings of awe, wonder, and admiration; the concept infinity has fascinated philosophers and theologians. The author shows how professional mathematicians tame this unwieldy concept, come to terms with it, and use its various aspects as their most powerful tools of the trade. The early chapters are descriptive and intuitive, full of examples that not only illustrate some infinite processes, but that are worth studying for their own sake. Many questions are raised in the beginning, partially answered in various contexts throughout the book, and finally treated with the precision necessary to give the reader an excellent grasp of the fundamental notions used in the calculus as well as in virtually all other mathematical disciplines. The text is peppered with challenging problems whose solutions appear at the end of the book.

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