How Long to Read Mathematical Recurrence Relations: Visual Mathematics Series

By Kiran R. Desai, Ph.d.

How Long Does it Take to Read Mathematical Recurrence Relations: Visual Mathematics Series?

It takes the average reader 1 hour and 40 minutes to read Mathematical Recurrence Relations: Visual Mathematics Series by Kiran R. Desai, Ph.d.

Assuming a reading speed of 250 words per minute. Learn more

Description

This book is about arranging numbers in a two dimensional space. It illustrates that it is possible to create many different regular patterns of numbers on a grid that represent meaningful summations. It uses a color coding scheme to enhance the detection of the underlying pattern for the numbers. Almost all arrangements presented are scalable or extensible, in that the matrix can be extended to larger size without the need to change existing number placements. The emphasis in this book is about the placement and summation of all the numbers for recursive embeddings. In many cases, visual charts are used to provide a higher level view of the topography, and to make the recurrence relations come alive. Number arrangements are represented for many well known multi-dimensional numbers, polygonal numbers, and various polynomials defined by recurrence relations based on equations that are a function of an integer variable n. The solutions for the recurrence relations can also be checked by adding the numbers in the arrangements presented. It is also possible to create a recurrence relation by starting with any polynomial equation using induction principles. Studying the terms in the recurrence relation helps design of the matrix and the number arrangement. This book has shown arrangements for exact powers of two, three, four, and five. Higher powers are indeed conceivable in two or three dimensional space and could be a topic for further study. Number arrangements for equations with different polynomial degree are seen to differ in the rate of change between values at adjacent levels. These have been elaborated at various places in the book. The study of recurrence relations is then steered towards arrangements for multiplication tables and linear equations in two variables. When enumerated on a coordinate graph, linear equations are seen as planar surfaces in space, and also allow solving a system of such equations visually. Although intended for college or advanced high school level students, for the majority audience this book serves as a treatise on the beauty inherent in numbers.

How long is Mathematical Recurrence Relations: Visual Mathematics Series?

Mathematical Recurrence Relations: 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.

How Long Does it Take to Read Mathematical Recurrence Relations: Visual Mathematics Series Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 16 minutes to read Mathematical Recurrence Relations: Visual Mathematics Series aloud.

What Reading Level is Mathematical Recurrence Relations: Visual Mathematics Series?

Mathematical Recurrence Relations: 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.

Where Can I Buy Mathematical Recurrence Relations: Visual Mathematics Series?

Mathematical Recurrence Relations: Visual Mathematics Series by Kiran R. Desai, Ph.d. is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Mathematical Recurrence Relations: Visual Mathematics Series by Kiran R. Desai, Ph.d. on Amazon click the button below.

Buy Mathematical Recurrence Relations: Visual Mathematics Series on Amazon