Introduction to Recognition and Deciphering of Patterns is meant to
acquaint STEM and non-STEM students with different patterns, as
well as to where and when specific patterns arise. In addition, the
book teaches students how to recognize patterns and distinguish the
similarities and differences between them. Patterns, such as
weather patterns, traffic patterns, behavioral patterns, geometric
patterns, linguistic patterns, structural patterns, digital
patterns, and the like, emerge on an everyday basis, . Recognizing
patterns and studying their unique traits are essential for the
development and enhancement of our intuitive skills and for
strengthening our analytical skills. Mathematicians often apply
patterns to get acquainted with new concepts--a technique that can
be applied across many disciplines. Throughout this book we explore
assorted patterns that emerge from various geometrical
configurations of squares, circles, right triangles, and
equilateral triangles that either repeat at the same scale or at
different scales. The book also analytically examines linear
patterns, geometric patterns, alternating patterns, piecewise
patterns, summation-type patterns and factorial-type patterns.
Deciphering the details of these distinct patterns leads to the
proof by induction method, and the book will also render properties
of Pascal's triangle and provide supplemental practice in
deciphering specific patterns and verifying them. This book
concludes with first-order recursive relations: describing
sequences as recursive relations, obtaining the general solution by
solving an initial value problem, and determining the periodic
traits. Features * Readily accessible to a broad audience,
including those with limited mathematical background * Especially
useful for students in non-STEM disciplines, such as psychology,
sociology, economics and business, as well as for liberal arts
disciplines and art students.
General
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