Mathematical Recurrence Relations

by Kiran Desai

First published 2013

Desai presents a systematic exploration of numerical patterns arranged on two-dimensional grids. The book demonstrates how to construct regular arrangements of numbers that produce meaningful summations when organized spatially. Color coding helps readers identify underlying patterns within these numerical matrices. Most arrangements can expand to larger grids without disrupting existing number placements. The author focuses on positioning numbers for recursive embeddings and their summations. Visual charts provide overhead views of numerical topography, bringing recurrence relations to life through spatial representation. The work covers arrangements for multidimensional numbers, polygonal sequences, and polynomials defined by recurrence relations based on integer variables. Readers can verify solutions by adding numbers within presented arrangements. The study extends to multiplication tables and linear equations with two variables. When plotted on coordinate graphs, these equations appear as surfaces in space, enabling visual solutions to equation systems. Though aimed at college and advanced high school students, the book serves broader audiences as an exploration of numerical beauty. The material requires focused mathematical attention rather than casual browsing.

Genres: art, reference, non-fiction, mathematics, academic, algorithms

Vibes: educational, thought-provoking, visual

Tropes: visual-solutions

100 pages · Paperback · CreateSpace Independent Publishing Platform

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