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Analyzing Mathematical Patterns - Detection & Formulation: Inductive Approach To Recognition, Analysis And Formulations Of Patterns (Hardcover)
Loot Price: R2,691
Discovery Miles 26 910
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Analyzing Mathematical Patterns - Detection & Formulation: Inductive Approach To Recognition, Analysis And Formulations Of Patterns (Hardcover)
Expected to ship within 10 - 15 working days
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The book's objectives are to expose students to analyzing and
formulating various patterns such as linear, quadratic, geometric,
piecewise, alternating, summation-type, product-type, recursive and
periodic patterns. The book will present various patterns
graphically and analytically and show the connections between them.
Graphical presentations include patterns at same scale, patterns at
diminishing scale and alternating patterns.The book's goals are to
train and expand students' analytical skills by presenting numerous
repetitive-type problems that will lead to formulating results
inductively and to the proof by induction method. These will start
with formulating basic sequences and piecewise functions and
transition to properties of Pascal's Triangle that are horizontally
and diagonally oriented and formulating solutions to recursive
sequences. The book will start with relatively straight forward
problems and gradually transition to more challenging problems and
open-ended research questions. The book's aims are to prepare
students to establish a base of recognition and formulation of
patterns that will navigate to study further mathematics such as
Calculus, Discrete Mathematics, Matrix Algebra, Abstract Algebra,
Difference Equations, and to potential research projects. The
primary aims out of all are to make mathematics accessible and
multidisciplinary for students with different backgrounds and from
various disciplines.
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