The Kingdom of Infinite Number: A Field Guide
Macmillan, 15 сент. 2001 г. - Всего страниц: 388
Just as bird guides help watchers tell birds apart by their color, songs, and behavior, The Kingdom of Infinite Number is the perfect handbook for identifying numbers in their native habitat. Taking a field guide-like approach, it offers a fresh way of looking at individual numbers and the properties that make them unique, which are also the properties essential for mental computation. The result provides new insights into mathematical patterns and relationships and an increased appreciation for the sheer wonder of numbers.
Every number in this book is identified by its "field marks," "similar species," "personality," and "associations." For example, one field mark of the number 6 is that it is the first perfect number the sum of its divisors (1,2, and 3) is equal to the number itself. Thus 28, the next perfect number, is a similar species. And the fact that 6 can easily be broken into 2 and 3 is part of its personality, a trait that is helpful when large numbers are being either multiplied or divided by 6. In addition to such classifications, special attention is paid to dozens of other fascinating numbers, transfinite and other exceptionally larger numbers, and the concept of infinity.
Ideal for beginners but organized to appeal to the mathematically literate, The Kingdom of Infinite Number will not only ad to readers' enjoyment of mathematics, but to their problem-solving abilities as well.
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LibraryThing ReviewПользовательский отзыв - waltzmn - LibraryThing
How did I enjoy thee? Let me count the ways. This book isn't for everyone, but if you like numbers, this is an incredibly fun book. It is like a field guide to animals or insects or rocks: It is a ... Читать весь отзыв
The kingdom of infinite number: a field guideПользовательский отзыв - Not Available - Book Verdict
This book's playful conceit is that a number is like a bird--something that is interesting to observe and identify in its native habitat, flocks together in groups and has distinct behavior patterns ... Читать весь отзыв
Genus Natural Counting Numbers
Genera Integral and Rational
Genus Real NumberLine Numbers
Genus Complex AllInclusive Numbers
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Часто встречающиеся слова и выражения
adding addition algebraic angle answer appears ASSOCIATIONS becomes begin bers calculation called charge circle combinations common complex numbers concept considered counting numbers decimal defined digits discussion dividing division easy element equal equation exactly example exist expressed factors Family FIELD MARKS figure finger five four fractions function Genus geometry greater Greek idea infinite infinity kind known larger length less limit mathematicians mathematics means measure method multiplication natural numbers negative objects operations original pairs particles perfect PERSONALITY plane positive possible prime problem produce proof rational numbers real numbers reason recognize repeat represented result root rule seems sequence sides SIMILAR SPECIES simply solution space square symbol theorem theory tion triangle true unit universe writing written