It takes the average reader 1 hour and 40 minutes to read Mathematical Number Arrangements: Visual Mathematics Series by Kiran R. Desai, Ph.d.
Assuming a reading speed of 250 words per minute. Learn more
This book is about constructing number arrangements in a two dimensional space. It illustrates many ways to place numbers on matrices of different shapes, so that their sum can be represented by mathematical equations. The use of color enhances the visibility of the number partitions according to the recurrence level or just the different classes. Many of the arrangements based on equations can be extended to larger size without the need to change existing number placements, resulting in a truly scalable number arrangement. The book starts with number arrangements based on least common multiples, Cartesian products, averages, and recursive product arrangements. The LCM based arrangements result in the total value for all cells of each color to be equal. The Cartesian product arrangements illustrate a way to generate a two dimensional matrix from linear number series representing any equation. So it is possible to create (1+3+5+...) crossed with (1+2+3+4+5+...) to get a value for f(n) = n DEGREES2 x n(n+1)/2. The arrangements based on average are meant to generate additional matrices using simple average generation rules. The book then illustrates numerous ways to construct matrices of different shapes for a total sum of n DEGREES3 or n DEGREES4. They include different types of matrices such as rectangular, square, hexagonal, pentagonal, triangular, among others. In addition, a few regular matrices have also been generated with help from the computer to identify increasing levels for square matrices such that they have interesting number patterns for the different levels. Number arrangements based on factorials, exponentials, permutations, combinations, and Pascal's triangle are also presented. Finally, a step by step method is provided to generate a matrix representation based on any arbitrary number. The topographical charts shown for many of the arrangements clearly illustrate that the number placements are orderly and quite varied even for different arrangements for the same function. Two such arrangements can be compared at a glance by comparing their 3-dimensional charts. The book also shows that there exist exact equations to represent number arrangements in two dimensional space, i.e., the equation defines each number in the matrix. Such equations are based on multiple variables and helped create arrangements for n DEGREES3, n DEGREE
Mathematical Number Arrangements: Visual Mathematics Series by Kiran R. Desai, Ph.d. is 100 pages long, and a total of 25,000 words.
This makes it 34% the length of the average book. It also has 31% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 16 minutes to read Mathematical Number Arrangements: Visual Mathematics Series aloud.
Mathematical Number Arrangements: Visual Mathematics Series is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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