Download EBOOK Mathematical Recurrence Relations: Visual Mathematics Series PDF for free
 
Category: Science & Geography
The author of the book: Kiran R Desai Ph D
Format files: PDF, EPUB, TXT, DOCX
The size of the: 829 KB
Language: English
ISBN13: 9781481219273
Edition: Createspace
Date of issue: 29 April 2013

Description of the book "Mathematical Recurrence Relations: Visual Mathematics Series":
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 PDF 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 multidimensional 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 ePub. 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 PDF 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.
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Kiran R Desai Ph D
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